Note
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Group Lasso regularizationΒΆ
Comparison of solvers for problems with a group lasso regularization.
The group lasso regularization enters the optimization through
its proximal operator, which is implemented in copt through the
function prox of object copt.utils.GroupL1()
.

Out:
#features 100
beta = 0
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PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1934, step_size=0.912, tol=0.00239]
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PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1936, step_size=0.912, tol=0.00239]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1937, step_size=0.912, tol=0.00239]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1937, step_size=0.912, tol=0.00239]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1938, step_size=0.912, tol=0.00239]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1938, step_size=0.912, tol=0.00239]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1939, step_size=0.912, tol=0.00239]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1939, step_size=0.912, tol=0.00239]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1940, step_size=0.912, tol=0.00238]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1940, step_size=0.912, tol=0.00238]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1941, step_size=0.912, tol=0.00238]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1941, step_size=0.912, tol=0.00238]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1942, step_size=0.912, tol=0.00238]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1942, step_size=0.912, tol=0.00238]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1943, step_size=0.912, tol=0.00238]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1943, step_size=0.912, tol=0.00238]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1944, step_size=0.912, tol=0.00238]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1944, step_size=0.912, tol=0.00238]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1945, step_size=0.912, tol=0.00238]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1945, step_size=0.912, tol=0.00238]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1946, step_size=0.912, tol=0.00238]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1946, step_size=0.912, tol=0.00238]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1947, step_size=0.912, tol=0.00238]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1947, step_size=0.912, tol=0.00238]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1948, step_size=0.912, tol=0.00238]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1948, step_size=0.912, tol=0.00238]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1949, step_size=0.912, tol=0.00238]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1949, step_size=0.912, tol=0.00238]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1950, step_size=0.912, tol=0.00238]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1950, step_size=0.912, tol=0.00238]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1951, step_size=0.912, tol=0.00238]
PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1951, step_size=0.912, tol=0.00238]
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PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1952, step_size=0.912, tol=0.00238]
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PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1953, step_size=0.912, tol=0.00238]
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PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1954, step_size=0.912, tol=0.00238]
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PGD: 36%|###5 | 1779/5000 [00:00<00:01, 1982.51it/s, iter=1956, step_size=0.912, tol=0.00237]
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PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=1978, step_size=0.912, tol=0.00236]
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PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2000, step_size=0.912, tol=0.00235]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2001, step_size=0.912, tol=0.00235]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2001, step_size=0.912, tol=0.00235]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2002, step_size=0.912, tol=0.00235]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2002, step_size=0.912, tol=0.00235]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2003, step_size=0.912, tol=0.00235]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2003, step_size=0.912, tol=0.00235]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2004, step_size=0.912, tol=0.00235]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2004, step_size=0.912, tol=0.00235]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2005, step_size=0.912, tol=0.00235]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2005, step_size=0.912, tol=0.00235]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2006, step_size=0.912, tol=0.00235]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2006, step_size=0.912, tol=0.00235]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2007, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2007, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2008, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2008, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2009, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2009, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2010, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2010, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2011, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2011, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2012, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2012, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2013, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2013, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2014, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2014, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2015, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2015, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2016, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2016, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2017, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2017, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2018, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2018, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2019, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2019, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2020, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2020, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2021, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2021, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2022, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2022, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2023, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2023, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2024, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2024, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2025, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2025, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2026, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2026, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2027, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2027, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2028, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2028, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2029, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2029, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2030, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2030, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2031, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2031, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2032, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2032, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2033, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2033, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2034, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2034, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2035, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2035, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2036, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2036, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2037, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2037, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2038, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2038, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2039, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2039, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2040, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2040, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2041, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2041, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2042, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2042, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2043, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2043, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2044, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2044, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2045, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2045, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2046, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2046, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2047, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2047, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2048, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2048, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2049, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2049, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2050, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2050, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2051, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2051, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2052, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2052, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2053, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2053, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2054, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2054, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2055, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2055, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2056, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2056, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2057, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2057, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2058, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2058, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2059, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2059, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2060, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2060, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2061, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2061, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2062, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2062, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2063, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2063, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2064, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2064, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2065, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2065, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2066, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2066, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2067, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2067, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2068, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2068, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2069, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2069, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2070, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2070, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2071, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2071, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2072, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2072, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2073, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2073, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2074, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2074, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2075, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2075, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2076, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2076, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2077, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2077, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2078, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2078, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2079, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2079, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2080, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2080, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2081, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2081, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2082, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2082, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2083, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2083, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2084, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2084, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2085, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2085, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2086, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2086, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2087, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2087, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2088, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2088, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2089, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2089, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2090, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2090, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2091, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2091, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2092, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2092, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2093, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2093, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2094, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2094, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2095, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2095, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2096, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2096, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2097, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2097, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2098, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2098, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2099, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2099, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2100, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2100, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2101, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2101, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2102, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2102, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2103, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2103, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2104, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2104, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2105, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2105, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2106, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2106, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2107, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2107, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2108, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2108, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2109, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2109, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2110, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2110, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2111, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2111, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2112, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2112, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2113, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2113, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2114, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2114, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2115, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2115, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2116, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2116, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2117, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2117, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2118, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2118, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2119, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2119, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2120, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2120, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2121, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2121, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2122, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2122, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2123, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2123, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2124, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2124, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2125, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2125, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2126, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2126, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2127, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2127, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2128, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2128, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2129, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2129, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2130, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2130, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2131, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2131, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2132, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2132, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2133, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2133, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2134, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2134, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2135, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2135, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2136, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2136, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2137, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2137, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2138, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2138, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2139, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2139, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2140, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2140, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2141, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2141, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2142, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2142, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2143, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2143, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2144, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2144, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2145, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2145, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2146, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2146, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2147, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2147, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2148, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2148, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2149, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2149, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2150, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2150, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2151, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2151, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2152, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2152, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2153, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2153, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2154, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2154, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2155, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2155, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2156, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2156, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2157, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2157, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2158, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2158, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1979/5000 [00:01<00:01, 1985.15it/s, iter=2159, step_size=0.912, tol=0.00226]
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/usr/local/google/home/pedregosa/dev/copt/copt/proximal_gradient.py:155: RuntimeWarning: minimize_proximal_gradient did not reach the desired tolerance level
RuntimeWarning,
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PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2007, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2008, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2008, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2009, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2009, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2010, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2010, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2011, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2011, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2012, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2012, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2013, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2013, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2014, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2014, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2015, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2015, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2016, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2016, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2017, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2017, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2018, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2018, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2019, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2019, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2020, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2020, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2021, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2021, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2022, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2022, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2023, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2023, step_size=0.912, tol=0.00234]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2024, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2024, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2025, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2025, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2026, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2026, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2027, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2027, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2028, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2028, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2029, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2029, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2030, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2030, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2031, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2031, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2032, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2032, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2033, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2033, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2034, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2034, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2035, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2035, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2036, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2036, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2037, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2037, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2038, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2038, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2039, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2039, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2040, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2040, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2041, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2041, step_size=0.912, tol=0.00233]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2042, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2042, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2043, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2043, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2044, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2044, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2045, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2045, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2046, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2046, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2047, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2047, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2048, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2048, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2049, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2049, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2050, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2050, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2051, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2051, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2052, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2052, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2053, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2053, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2054, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2054, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2055, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2055, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2056, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2056, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2057, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2057, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2058, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2058, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2059, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2059, step_size=0.912, tol=0.00232]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2060, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2060, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2061, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2061, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2062, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2062, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2063, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2063, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2064, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2064, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2065, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2065, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2066, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2066, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2067, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2067, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2068, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2068, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2069, step_size=0.912, tol=0.00231]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2069, step_size=0.912, tol=0.00231]
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PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2070, step_size=0.912, tol=0.00231]
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PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2071, step_size=0.912, tol=0.00231]
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PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2072, step_size=0.912, tol=0.00231]
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PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2073, step_size=0.912, tol=0.00231]
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PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2074, step_size=0.912, tol=0.00231]
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PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2075, step_size=0.912, tol=0.00231]
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PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2076, step_size=0.912, tol=0.00231]
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PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2077, step_size=0.912, tol=0.00231]
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PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2078, step_size=0.912, tol=0.0023]
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PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2079, step_size=0.912, tol=0.0023]
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PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2080, step_size=0.912, tol=0.0023]
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PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2081, step_size=0.912, tol=0.0023]
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PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2082, step_size=0.912, tol=0.0023]
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PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2083, step_size=0.912, tol=0.0023]
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PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2087, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2087, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2088, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2088, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2089, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2089, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2090, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2090, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2091, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2091, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2092, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2092, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2093, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2093, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2094, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2094, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2095, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2095, step_size=0.912, tol=0.0023]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2096, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2096, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2097, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2097, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2098, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2098, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2099, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2099, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2100, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2100, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2101, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2101, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2102, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2102, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2103, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2103, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2104, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2104, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2105, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2105, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2106, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2106, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2107, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2107, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2108, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2108, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2109, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2109, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2110, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2110, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2111, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2111, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2112, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2112, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2113, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2113, step_size=0.912, tol=0.00229]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2114, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2114, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2115, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2115, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2116, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2116, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2117, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2117, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2118, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2118, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2119, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2119, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2120, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2120, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2121, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2121, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2122, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2122, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2123, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2123, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2124, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2124, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2125, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2125, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2126, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2126, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2127, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2127, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2128, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2128, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2129, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2129, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2130, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2130, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2131, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2131, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2132, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2132, step_size=0.912, tol=0.00228]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2133, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2133, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2134, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2134, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2135, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2135, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2136, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2136, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2137, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2137, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2138, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2138, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2139, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2139, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2140, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2140, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2141, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2141, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2142, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2142, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2143, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2143, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2144, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2144, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2145, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2145, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2146, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2146, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2147, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2147, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2148, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2148, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2149, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2149, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2150, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2150, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2151, step_size=0.912, tol=0.00227]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2151, step_size=0.912, tol=0.00227]
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PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2152, step_size=0.912, tol=0.00226]
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PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2153, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2154, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2154, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2155, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2155, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2156, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2156, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2157, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2157, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2158, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2158, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2159, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2159, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2160, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2160, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2161, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2161, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2162, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2162, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2163, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2163, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2164, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2164, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2165, step_size=0.912, tol=0.00226]
PGD: 40%|###9 | 1977/5000 [00:01<00:01, 1978.61it/s, iter=2165, step_size=0.912, tol=0.00226]
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PGD: 72%|#######1 | 3575/5000 [00:01<00:00, 1991.21it/s, iter=3574, step_size=0.912, tol=0.00174]
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PGD: 100%|##########| 5000/5000 [00:02<00:00, 1984.54it/s, iter=4999, step_size=0.912, tol=0.00144]
beta = 0.01
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PGD: 82%|########1 | 4078/5000 [00:02<00:00, 2045.20it/s, iter=4077, step_size=0.912, tol=2.32e-10]
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PGD: 100%|##########| 5000/5000 [00:02<00:00, 2026.78it/s, iter=4999, step_size=0.912, tol=5.49e-12]
beta = 0.1
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Achieved relative tolerance at iteration 757
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PGD: 13%|#2 | 648/5000 [00:00<00:02, 2158.72it/s, iter=753, step_size=0.912, tol=1.13e-14]
PGD: 13%|#2 | 648/5000 [00:00<00:02, 2158.72it/s, iter=753, step_size=0.912, tol=1.13e-14]
PGD: 13%|#2 | 648/5000 [00:00<00:02, 2158.72it/s, iter=754, step_size=0.912, tol=1.09e-14]
PGD: 13%|#2 | 648/5000 [00:00<00:02, 2158.72it/s, iter=754, step_size=0.912, tol=1.09e-14]
PGD: 13%|#2 | 648/5000 [00:00<00:02, 2158.72it/s, iter=755, step_size=0.912, tol=1.06e-14]
PGD: 13%|#2 | 648/5000 [00:00<00:02, 2158.72it/s, iter=755, step_size=0.912, tol=1.06e-14]
PGD: 13%|#2 | 648/5000 [00:00<00:02, 2158.72it/s, iter=756, step_size=0.912, tol=1.01e-14]
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PGD: 13%|#2 | 648/5000 [00:00<00:02, 2158.72it/s, iter=757, step_size=0.912, tol=9.75e-15]
Achieved relative tolerance at iteration 757
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beta = 0.2
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PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=625, step_size=0.912, tol=6.19e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=626, step_size=0.912, tol=5.92e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=626, step_size=0.912, tol=5.92e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=627, step_size=0.912, tol=5.66e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=627, step_size=0.912, tol=5.66e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=628, step_size=0.912, tol=5.42e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=628, step_size=0.912, tol=5.42e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=629, step_size=0.912, tol=5.17e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=629, step_size=0.912, tol=5.17e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=630, step_size=0.912, tol=4.95e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=630, step_size=0.912, tol=4.95e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=631, step_size=0.912, tol=4.73e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=631, step_size=0.912, tol=4.73e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=632, step_size=0.912, tol=4.54e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=632, step_size=0.912, tol=4.54e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=633, step_size=0.912, tol=4.34e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=633, step_size=0.912, tol=4.34e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=634, step_size=0.912, tol=4.13e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=634, step_size=0.912, tol=4.13e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=635, step_size=0.912, tol=3.96e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=635, step_size=0.912, tol=3.96e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=636, step_size=0.912, tol=3.79e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=636, step_size=0.912, tol=3.79e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=637, step_size=0.912, tol=3.62e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=637, step_size=0.912, tol=3.62e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=638, step_size=0.912, tol=3.46e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=638, step_size=0.912, tol=3.46e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=639, step_size=0.912, tol=3.31e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=639, step_size=0.912, tol=3.31e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=640, step_size=0.912, tol=3.18e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=640, step_size=0.912, tol=3.18e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=641, step_size=0.912, tol=3.03e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=641, step_size=0.912, tol=3.03e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=642, step_size=0.912, tol=2.9e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=642, step_size=0.912, tol=2.9e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=643, step_size=0.912, tol=2.77e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=643, step_size=0.912, tol=2.77e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=644, step_size=0.912, tol=2.65e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=644, step_size=0.912, tol=2.65e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=645, step_size=0.912, tol=2.53e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=645, step_size=0.912, tol=2.53e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=646, step_size=0.912, tol=2.42e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=646, step_size=0.912, tol=2.42e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=647, step_size=0.912, tol=2.33e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=647, step_size=0.912, tol=2.33e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=648, step_size=0.912, tol=2.22e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=648, step_size=0.912, tol=2.22e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=649, step_size=0.912, tol=2.12e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=649, step_size=0.912, tol=2.12e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=650, step_size=0.912, tol=2.02e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=650, step_size=0.912, tol=2.02e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=651, step_size=0.912, tol=1.94e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=651, step_size=0.912, tol=1.94e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=652, step_size=0.912, tol=1.87e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=652, step_size=0.912, tol=1.87e-14]
PGD: 9%|8 | 438/5000 [00:00<00:02, 2195.60it/s, iter=653, step_size=0.912, tol=1.77e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=653, step_size=0.912, tol=1.77e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=653, step_size=0.912, tol=1.77e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=654, step_size=0.912, tol=1.7e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=654, step_size=0.912, tol=1.7e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=655, step_size=0.912, tol=1.63e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=655, step_size=0.912, tol=1.63e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=656, step_size=0.912, tol=1.56e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=656, step_size=0.912, tol=1.56e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=657, step_size=0.912, tol=1.49e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=657, step_size=0.912, tol=1.49e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=658, step_size=0.912, tol=1.43e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=658, step_size=0.912, tol=1.43e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=659, step_size=0.912, tol=1.35e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=659, step_size=0.912, tol=1.35e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=660, step_size=0.912, tol=1.29e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=660, step_size=0.912, tol=1.29e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=661, step_size=0.912, tol=1.24e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=661, step_size=0.912, tol=1.24e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=662, step_size=0.912, tol=1.19e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=662, step_size=0.912, tol=1.19e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=663, step_size=0.912, tol=1.14e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=663, step_size=0.912, tol=1.14e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=664, step_size=0.912, tol=1.08e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=664, step_size=0.912, tol=1.08e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=665, step_size=0.912, tol=1.03e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=665, step_size=0.912, tol=1.03e-14]
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=666, step_size=0.912, tol=9.94e-15]
Achieved relative tolerance at iteration 666
PGD: 13%|#3 | 654/5000 [00:00<00:01, 2183.92it/s, iter=666, step_size=0.912, tol=9.94e-15]
0%| | 0/5000 [00:00<?, ?it/s]
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PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=10, step_size=0.912, tol=0.102]
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PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=19, step_size=0.912, tol=0.0573]
PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=20, step_size=0.912, tol=0.0518]
PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=20, step_size=0.912, tol=0.0518]
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PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=21, step_size=0.912, tol=0.0453]
PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=22, step_size=0.912, tol=0.0372]
PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=22, step_size=0.912, tol=0.0372]
PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=23, step_size=0.912, tol=0.0332]
PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=23, step_size=0.912, tol=0.0332]
PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=24, step_size=0.912, tol=0.0305]
PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=24, step_size=0.912, tol=0.0305]
PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=25, step_size=0.912, tol=0.0285]
PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=25, step_size=0.912, tol=0.0285]
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PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=28, step_size=0.912, tol=0.0242]
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PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=29, step_size=0.912, tol=0.023]
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PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=30, step_size=0.912, tol=0.0219]
PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=31, step_size=0.912, tol=0.0209]
PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=31, step_size=0.912, tol=0.0209]
PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=32, step_size=0.912, tol=0.0199]
PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=32, step_size=0.912, tol=0.0199]
PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=33, step_size=0.912, tol=0.019]
PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=33, step_size=0.912, tol=0.019]
PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=34, step_size=0.912, tol=0.0182]
PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=34, step_size=0.912, tol=0.0182]
PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=35, step_size=0.912, tol=0.0173]
PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=35, step_size=0.912, tol=0.0173]
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PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=38, step_size=0.912, tol=0.0151]
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PGD: 0%| | 0/5000 [00:00<?, ?it/s, iter=40, step_size=0.912, tol=0.0138]
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PGD: 9%|8 | 437/5000 [00:00<00:02, 2188.68it/s, iter=612, step_size=0.912, tol=1.11e-13]
PGD: 9%|8 | 437/5000 [00:00<00:02, 2188.68it/s, iter=612, step_size=0.912, tol=1.11e-13]
PGD: 9%|8 | 437/5000 [00:00<00:02, 2188.68it/s, iter=613, step_size=0.912, tol=1.06e-13]
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PGD: 9%|8 | 437/5000 [00:00<00:02, 2188.68it/s, iter=628, step_size=0.912, tol=5.42e-14]
PGD: 9%|8 | 437/5000 [00:00<00:02, 2188.68it/s, iter=629, step_size=0.912, tol=5.17e-14]
PGD: 9%|8 | 437/5000 [00:00<00:02, 2188.68it/s, iter=629, step_size=0.912, tol=5.17e-14]
PGD: 9%|8 | 437/5000 [00:00<00:02, 2188.68it/s, iter=630, step_size=0.912, tol=4.95e-14]
PGD: 9%|8 | 437/5000 [00:00<00:02, 2188.68it/s, iter=630, step_size=0.912, tol=4.95e-14]
PGD: 9%|8 | 437/5000 [00:00<00:02, 2188.68it/s, iter=631, step_size=0.912, tol=4.73e-14]
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PGD: 9%|8 | 437/5000 [00:00<00:02, 2188.68it/s, iter=632, step_size=0.912, tol=4.54e-14]
PGD: 9%|8 | 437/5000 [00:00<00:02, 2188.68it/s, iter=632, step_size=0.912, tol=4.54e-14]
PGD: 9%|8 | 437/5000 [00:00<00:02, 2188.68it/s, iter=633, step_size=0.912, tol=4.34e-14]
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PGD: 9%|8 | 437/5000 [00:00<00:02, 2188.68it/s, iter=638, step_size=0.912, tol=3.46e-14]
PGD: 9%|8 | 437/5000 [00:00<00:02, 2188.68it/s, iter=639, step_size=0.912, tol=3.31e-14]
PGD: 9%|8 | 437/5000 [00:00<00:02, 2188.68it/s, iter=639, step_size=0.912, tol=3.31e-14]
PGD: 9%|8 | 437/5000 [00:00<00:02, 2188.68it/s, iter=640, step_size=0.912, tol=3.18e-14]
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PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=652, step_size=0.912, tol=1.87e-14]
PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=652, step_size=0.912, tol=1.87e-14]
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PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=654, step_size=0.912, tol=1.7e-14]
PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=654, step_size=0.912, tol=1.7e-14]
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PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=655, step_size=0.912, tol=1.63e-14]
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PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=657, step_size=0.912, tol=1.49e-14]
PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=658, step_size=0.912, tol=1.43e-14]
PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=658, step_size=0.912, tol=1.43e-14]
PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=659, step_size=0.912, tol=1.35e-14]
PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=659, step_size=0.912, tol=1.35e-14]
PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=660, step_size=0.912, tol=1.29e-14]
PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=660, step_size=0.912, tol=1.29e-14]
PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=661, step_size=0.912, tol=1.24e-14]
PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=661, step_size=0.912, tol=1.24e-14]
PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=662, step_size=0.912, tol=1.19e-14]
PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=662, step_size=0.912, tol=1.19e-14]
PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=663, step_size=0.912, tol=1.14e-14]
PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=663, step_size=0.912, tol=1.14e-14]
PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=664, step_size=0.912, tol=1.08e-14]
PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=664, step_size=0.912, tol=1.08e-14]
PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=665, step_size=0.912, tol=1.03e-14]
PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=665, step_size=0.912, tol=1.03e-14]
PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=666, step_size=0.912, tol=9.94e-15]
Achieved relative tolerance at iteration 666
PGD: 13%|#3 | 653/5000 [00:00<00:01, 2178.15it/s, iter=666, step_size=0.912, tol=9.94e-15]
import copt as cp
import matplotlib.pyplot as plt
import numpy as np
from scipy import sparse
np.random.seed(0)
# .. generate some data ..
n_samples, n_features = 100, 100
groups = [np.arange(10 * i, 10 * i + 10) for i in range(10)]
# .. construct a ground truth vector in which ..
# .. group 4 and 5 are nonzero ..
ground_truth = np.zeros(n_features)
ground_truth[groups[4]] = 1
ground_truth[groups[5]] = 0.5
max_iter = 5000
print("#features", n_features)
A = sparse.rand(n_samples, n_features, density=0.2)
sigma = 1.0
b = A.dot(ground_truth) + sigma * np.random.randn(n_samples)
np.random.seed(0)
n_samples = n_features
# .. compute the step-size ..
f = cp.utils.SquareLoss(A, b)
step_size = 1.0 / f.lipschitz
# .. run the solver for different values ..
# .. of the regularization parameter beta ..
all_betas = [0, 1e-2, 1e-1, 0.2]
all_trace_ls, all_trace_nols = [], []
out_img = []
for i, beta in enumerate(all_betas):
print("beta = %s" % beta)
G1 = cp.utils.GroupL1(beta, groups)
def loss(x):
return f(x) + G1(x)
cb_tosls = cp.utils.Trace()
x0 = np.zeros(n_features)
pgd_ls = cp.minimize_proximal_gradient(
f.f_grad,
x0,
G1.prox,
step_size=step_size,
max_iter=max_iter,
tol=1e-14,
verbose=1,
callback=cb_tosls,
)
trace_ls = np.array([loss(x) for x in cb_tosls.trace_x])
all_trace_ls.append(trace_ls)
cb_tos = cp.utils.Trace()
x0 = np.zeros(n_features)
pgd = cp.minimize_proximal_gradient(
f.f_grad,
x0,
G1.prox,
step_size=step_size,
max_iter=max_iter,
tol=1e-14,
verbose=1,
callback=cb_tos,
)
trace_nols = np.array([loss(x) for x in cb_tos.trace_x])
all_trace_nols.append(trace_nols)
out_img.append(pgd.x)
# .. plot the results ..
fig, ax = plt.subplots(2, 4, sharey=False)
xlim = [0.02, 0.02, 0.1]
markevery = [1000, 1000, 100, 100]
for i, beta in enumerate(all_betas):
ax[0, i].set_title(r"$\lambda=%s$" % beta)
ax[0, i].set_title(r"$\lambda=%s$" % beta)
ax[0, i].plot(out_img[i])
ax[0, i].plot(ground_truth)
ax[0, i].set_ylim((-0.5, 1.5))
ax[0, i].set_xticks(())
ax[0, i].set_yticks(())
fmin = min(np.min(all_trace_ls[i]), np.min(all_trace_nols[i]))
scale = all_trace_ls[i][0] - fmin
plot_tos, = ax[1, i].plot(
(all_trace_ls[i] - fmin) / scale, lw=4, marker="o", markevery=100, markersize=10
)
plot_nols, = ax[1, i].plot(
(all_trace_nols[i] - fmin) / scale,
lw=4,
marker="h",
markevery=markevery[i],
markersize=10,
)
ax[1, i].set_xlabel("Iterations")
ax[1, i].set_yscale("log")
ax[1, i].set_ylim((1e-14, None))
ax[1, i].grid(True)
plt.gcf().subplots_adjust(bottom=0.15)
plt.figlegend(
(plot_tos, plot_nols),
("PGD with line search", "PGD without line search"),
ncol=5,
scatterpoints=1,
loc=(-0.00, -0.0),
frameon=False,
bbox_to_anchor=[0.05, 0.01],
)
ax[1, 0].set_ylabel("Objective minus optimum")
plt.show()
Total running time of the script: ( 0 minutes 13.557 seconds)
Estimated memory usage: 9 MB