Index

A

add_class_constraints() (PEPit.Function method) (PEPit.functions.ConvexFunction method) (PEPit.functions.ConvexIndicatorFunction method) (PEPit.functions.ConvexLipschitzFunction method) (PEPit.functions.SmoothFunction method) (PEPit.functions.SmoothStronglyConvexFunction method) (PEPit.functions.StronglyConvexFunction method) (PEPit.operators.CocoerciveOperator method) (PEPit.operators.LipschitzOperator method) (PEPit.operators.LipschitzStronglyMonotoneOperator method) (PEPit.operators.MonotoneOperator method) (PEPit.operators.StronglyMonotoneOperator method)

add_constraint() (PEPit.Function method) add_point() (PEPit.Function method)

B

bregman_gradient_step() (in module PEPit.primitive_steps), [1]

bregman_proximal_step() (in module PEPit.primitive_steps), [1]

C

CocoerciveOperator (class in PEPit.operators) Constraint (class in PEPit)

ConvexFunction (class in PEPit.functions) ConvexIndicatorFunction (class in PEPit.functions) ConvexLipschitzFunction (class in PEPit.functions)

D

declare_function() (PEPit.PEP method)

E

eval() (PEPit.Constraint method) (PEPit.Expression method) (PEPit.Point method)

eval_dual() (PEPit.Constraint method) exact_linesearch_step() (in module PEPit.primitive_steps), [1] Expression (class in PEPit)

F

fixed_point() (PEPit.Function method)

Function (class in PEPit)

G

get_is_leaf() (PEPit.Expression method) (PEPit.Function method) (PEPit.Point method)

gradient() (PEPit.Function method)

I

inexact_gradient_step() (in module PEPit.primitive_steps), [1]

inexact_proximal_step() (in module PEPit.primitive_steps), [1]

L

linear_optimization_step() (in module PEPit.primitive_steps), [1]

LipschitzOperator (class in PEPit.operators) LipschitzStronglyMonotoneOperator (class in PEPit.operators)

M

merge_dict() (in module PEPit.tools) module PEPit PEPit.constraint PEPit.examples PEPit.examples.adaptive_methods PEPit.examples.adaptive_methods.polyak_steps_in_distance_to_optimum PEPit.examples.adaptive_methods.polyak_steps_in_function_value PEPit.examples.composite_convex_minimization PEPit.examples.composite_convex_minimization.accelerated_douglas_rachford_splitting PEPit.examples.composite_convex_minimization.accelerated_proximal_gradient PEPit.examples.composite_convex_minimization.bregman_proximal_point PEPit.examples.composite_convex_minimization.douglas_rachford_splitting PEPit.examples.composite_convex_minimization.douglas_rachford_splitting_contraction PEPit.examples.composite_convex_minimization.frank_wolfe PEPit.examples.composite_convex_minimization.improved_interior_algorithm PEPit.examples.composite_convex_minimization.no_lips_in_bregman_divergence PEPit.examples.composite_convex_minimization.no_lips_in_function_value PEPit.examples.composite_convex_minimization.proximal_gradient PEPit.examples.composite_convex_minimization.three_operator_splitting PEPit.examples.example_template PEPit.examples.fixed_point_problems PEPit.examples.fixed_point_problems.halpern_iteration PEPit.examples.fixed_point_problems.krasnoselskii_mann_constant_step_sizes PEPit.examples.fixed_point_problems.krasnoselskii_mann_increasing_step_sizes PEPit.examples.inexact_proximal_methods PEPit.examples.inexact_proximal_methods.accelerated_inexact_forward_backward PEPit.examples.inexact_proximal_methods.partially_inexact_douglas_rachford_splitting PEPit.examples.inexact_proximal_methods.relatively_inexact_proximal_point_algorithm PEPit.examples.low_dimensional_worst_cases_scenarios PEPit.examples.low_dimensional_worst_cases_scenarios.inexact_gradient PEPit.examples.low_dimensional_worst_cases_scenarios.optimized_gradient PEPit.examples.monotone_inclusions PEPit.examples.monotone_inclusions.accelerated_proximal_point PEPit.examples.monotone_inclusions.douglas_rachford_splitting PEPit.examples.monotone_inclusions.proximal_point PEPit.examples.monotone_inclusions.three_operator_splitting PEPit.examples.nonconvex_optimization PEPit.examples.nonconvex_optimization.gradient_descent PEPit.examples.nonconvex_optimization.no_lips_1 PEPit.examples.nonconvex_optimization.no_lips_2 PEPit.examples.potential_functions PEPit.examples.potential_functions.accelerated_gradient_method PEPit.examples.potential_functions.gradient_descent_lyapunov_1 PEPit.examples.potential_functions.gradient_descent_lyapunov_2 PEPit.examples.stochastic_convex_minimization PEPit.examples.stochastic_convex_minimization.point_saga PEPit.examples.stochastic_convex_minimization.saga PEPit.examples.stochastic_convex_minimization.sgd PEPit.examples.stochastic_convex_minimization.sgd_overparametrized PEPit.examples.tutorials PEPit.examples.tutorials.gradient_descent_contraction PEPit.examples.unconstrained_convex_minimization PEPit.examples.unconstrained_convex_minimization.accelerated_gradient_convex PEPit.examples.unconstrained_convex_minimization.accelerated_gradient_strongly_convex PEPit.examples.unconstrained_convex_minimization.accelerated_proximal_point PEPit.examples.unconstrained_convex_minimization.conjugate_gradient PEPit.examples.unconstrained_convex_minimization.gradient_descent PEPit.examples.unconstrained_convex_minimization.gradient_exact_line_search PEPit.examples.unconstrained_convex_minimization.heavy_ball_momentum PEPit.examples.unconstrained_convex_minimization.inexact_accelerated_gradient PEPit.examples.unconstrained_convex_minimization.inexact_gradient_descent PEPit.examples.unconstrained_convex_minimization.inexact_gradient_exact_line_search PEPit.examples.unconstrained_convex_minimization.information_theoretic_exact_method PEPit.examples.unconstrained_convex_minimization.optimized_gradient PEPit.examples.unconstrained_convex_minimization.optimized_gradient_for_gradient PEPit.examples.unconstrained_convex_minimization.proximal_point PEPit.examples.unconstrained_convex_minimization.robust_momentum PEPit.examples.unconstrained_convex_minimization.subgradient_method PEPit.examples.unconstrained_convex_minimization.triple_momentum PEPit.expression PEPit.function PEPit.functions PEPit.functions.convex_function PEPit.functions.convex_indicator PEPit.functions.convex_lipschitz_function PEPit.functions.smooth_convex_function PEPit.functions.smooth_function PEPit.functions.smooth_strongly_convex_function PEPit.functions.strongly_convex PEPit.operators PEPit.operators.cocoercive PEPit.operators.lipschitz PEPit.operators.lipschitz_strongly_monotone PEPit.operators.monotone PEPit.operators.strongly_monotone PEPit.pep PEPit.point PEPit.primitive_steps PEPit.tools PEPit.tools.dict_operations

MonotoneOperator (class in PEPit.operators) multiply_dicts() (in module PEPit.tools)

O

oracle() (PEPit.Function method)

P

PEP (class in PEPit) PEPit module PEPit.constraint module PEPit.examples module PEPit.examples.adaptive_methods module PEPit.examples.adaptive_methods.polyak_steps_in_distance_to_optimum module PEPit.examples.adaptive_methods.polyak_steps_in_function_value module PEPit.examples.composite_convex_minimization module PEPit.examples.composite_convex_minimization.accelerated_douglas_rachford_splitting module PEPit.examples.composite_convex_minimization.accelerated_proximal_gradient module PEPit.examples.composite_convex_minimization.bregman_proximal_point module PEPit.examples.composite_convex_minimization.douglas_rachford_splitting module PEPit.examples.composite_convex_minimization.douglas_rachford_splitting_contraction module PEPit.examples.composite_convex_minimization.frank_wolfe module PEPit.examples.composite_convex_minimization.improved_interior_algorithm module PEPit.examples.composite_convex_minimization.no_lips_in_bregman_divergence module PEPit.examples.composite_convex_minimization.no_lips_in_function_value module PEPit.examples.composite_convex_minimization.proximal_gradient module PEPit.examples.composite_convex_minimization.three_operator_splitting module PEPit.examples.example_template module PEPit.examples.fixed_point_problems module PEPit.examples.fixed_point_problems.halpern_iteration module PEPit.examples.fixed_point_problems.krasnoselskii_mann_constant_step_sizes module PEPit.examples.fixed_point_problems.krasnoselskii_mann_increasing_step_sizes module PEPit.examples.inexact_proximal_methods module PEPit.examples.inexact_proximal_methods.accelerated_inexact_forward_backward module PEPit.examples.inexact_proximal_methods.partially_inexact_douglas_rachford_splitting module PEPit.examples.inexact_proximal_methods.relatively_inexact_proximal_point_algorithm module PEPit.examples.low_dimensional_worst_cases_scenarios module PEPit.examples.low_dimensional_worst_cases_scenarios.inexact_gradient module PEPit.examples.low_dimensional_worst_cases_scenarios.optimized_gradient module PEPit.examples.monotone_inclusions module PEPit.examples.monotone_inclusions.accelerated_proximal_point module PEPit.examples.monotone_inclusions.douglas_rachford_splitting module PEPit.examples.monotone_inclusions.proximal_point module PEPit.examples.monotone_inclusions.three_operator_splitting module PEPit.examples.nonconvex_optimization module PEPit.examples.nonconvex_optimization.gradient_descent module PEPit.examples.nonconvex_optimization.no_lips_1 module PEPit.examples.nonconvex_optimization.no_lips_2 module PEPit.examples.potential_functions module PEPit.examples.potential_functions.accelerated_gradient_method module PEPit.examples.potential_functions.gradient_descent_lyapunov_1 module PEPit.examples.potential_functions.gradient_descent_lyapunov_2 module PEPit.examples.stochastic_convex_minimization module PEPit.examples.stochastic_convex_minimization.point_saga module

PEPit.examples.stochastic_convex_minimization.saga module PEPit.examples.stochastic_convex_minimization.sgd module PEPit.examples.stochastic_convex_minimization.sgd_overparametrized module PEPit.examples.tutorials module PEPit.examples.tutorials.gradient_descent_contraction module PEPit.examples.unconstrained_convex_minimization module PEPit.examples.unconstrained_convex_minimization.accelerated_gradient_convex module PEPit.examples.unconstrained_convex_minimization.accelerated_gradient_strongly_convex module PEPit.examples.unconstrained_convex_minimization.accelerated_proximal_point module PEPit.examples.unconstrained_convex_minimization.conjugate_gradient module PEPit.examples.unconstrained_convex_minimization.gradient_descent module PEPit.examples.unconstrained_convex_minimization.gradient_exact_line_search module PEPit.examples.unconstrained_convex_minimization.heavy_ball_momentum module PEPit.examples.unconstrained_convex_minimization.inexact_accelerated_gradient module PEPit.examples.unconstrained_convex_minimization.inexact_gradient_descent module PEPit.examples.unconstrained_convex_minimization.inexact_gradient_exact_line_search module PEPit.examples.unconstrained_convex_minimization.information_theoretic_exact_method module PEPit.examples.unconstrained_convex_minimization.optimized_gradient module PEPit.examples.unconstrained_convex_minimization.optimized_gradient_for_gradient module PEPit.examples.unconstrained_convex_minimization.proximal_point module PEPit.examples.unconstrained_convex_minimization.robust_momentum module PEPit.examples.unconstrained_convex_minimization.subgradient_method module PEPit.examples.unconstrained_convex_minimization.triple_momentum module PEPit.expression module PEPit.function module PEPit.functions module PEPit.functions.convex_function module PEPit.functions.convex_indicator module PEPit.functions.convex_lipschitz_function module PEPit.functions.smooth_convex_function module PEPit.functions.smooth_function module PEPit.functions.smooth_strongly_convex_function module PEPit.functions.strongly_convex module PEPit.operators module PEPit.operators.cocoercive module PEPit.operators.lipschitz module PEPit.operators.lipschitz_strongly_monotone module PEPit.operators.monotone module PEPit.operators.strongly_monotone module PEPit.pep module PEPit.point module PEPit.primitive_steps module PEPit.tools module PEPit.tools.dict_operations module Point (class in PEPit) proximal_step() (in module PEPit.primitive_steps), [1] prune_dict() (in module PEPit.tools)

S

set_initial_condition() (PEPit.PEP method) set_initial_point() (PEPit.PEP method) set_performance_metric() (PEPit.PEP method) SmoothConvexFunction (class in PEPit.functions) SmoothFunction (class in PEPit.functions)

SmoothStronglyConvexFunction (class in PEPit.functions) solve() (PEPit.PEP method) stationary_point() (PEPit.Function method) StronglyConvexFunction (class in PEPit.functions) StronglyMonotoneOperator (class in PEPit.operators) subgradient() (PEPit.Function method)

V

value() (PEPit.Function method)

W

wc_accelerated_douglas_rachford_splitting() (in module PEPit.examples.composite_convex_minimization) wc_accelerated_gradient_convex() (in module PEPit.examples.unconstrained_convex_minimization) wc_accelerated_gradient_method() (in module PEPit.examples.potential_functions) wc_accelerated_gradient_strongly_convex() (in module PEPit.examples.unconstrained_convex_minimization) wc_accelerated_inexact_forward_backward() (in module PEPit.examples.inexact_proximal_methods) wc_accelerated_proximal_gradient() (in module PEPit.examples.composite_convex_minimization) wc_accelerated_proximal_point() (in module PEPit.examples.monotone_inclusions) (in module PEPit.examples.unconstrained_convex_minimization) wc_bregman_proximal_point() (in module PEPit.examples.composite_convex_minimization) wc_conjugate_gradient() (in module PEPit.examples.unconstrained_convex_minimization) wc_douglas_rachford_splitting() (in module PEPit.examples.composite_convex_minimization) (in module PEPit.examples.monotone_inclusions) wc_douglas_rachford_splitting_contraction() (in module PEPit.examples.composite_convex_minimization) wc_example_template() (in module PEPit.examples.example_template) wc_frank_wolfe() (in module PEPit.examples.composite_convex_minimization) wc_gradient_descent() (in module PEPit.examples.nonconvex_optimization) (in module PEPit.examples.unconstrained_convex_minimization) wc_gradient_descent_contraction() (in module PEPit.examples.tutorials) wc_gradient_descent_lyapunov_1() (in module PEPit.examples.potential_functions) wc_gradient_descent_lyapunov_2() (in module PEPit.examples.potential_functions) wc_gradient_exact_line_search() (in module PEPit.examples.unconstrained_convex_minimization) wc_halpern_iteration() (in module PEPit.examples.fixed_point_problems) wc_heavy_ball_momentum() (in module PEPit.examples.unconstrained_convex_minimization) wc_improved_interior_algorithm() (in module PEPit.examples.composite_convex_minimization) wc_inexact_accelerated_gradient() (in module PEPit.examples.unconstrained_convex_minimization) wc_inexact_gradient() (in module PEPit.examples.low_dimensional_worst_cases_scenarios) wc_inexact_gradient_descent() (in module PEPit.examples.unconstrained_convex_minimization)

wc_inexact_gradient_exact_line_search() (in module PEPit.examples.unconstrained_convex_minimization) wc_information_theoretic() (in module PEPit.examples.unconstrained_convex_minimization) wc_krasnoselskii_mann_constant_step_sizes() (in module PEPit.examples.fixed_point_problems) wc_krasnoselskii_mann_increasing_step_sizes() (in module PEPit.examples.fixed_point_problems) wc_no_lips_1() (in module PEPit.examples.nonconvex_optimization) wc_no_lips_2() (in module PEPit.examples.nonconvex_optimization) wc_no_lips_in_bregman_divergence() (in module PEPit.examples.composite_convex_minimization) wc_no_lips_in_function_value() (in module PEPit.examples.composite_convex_minimization) wc_optimized_gradient() (in module PEPit.examples.low_dimensional_worst_cases_scenarios) (in module PEPit.examples.unconstrained_convex_minimization) wc_optimized_gradient_for_gradient() (in module PEPit.examples.unconstrained_convex_minimization) wc_partially_inexact_douglas_rachford_splitting() (in module PEPit.examples.inexact_proximal_methods) wc_point_saga() (in module PEPit.examples.stochastic_convex_minimization) wc_polyak_steps_in_distance_to_optimum() (in module PEPit.examples.adaptive_methods) wc_polyak_steps_in_function_value() (in module PEPit.examples.adaptive_methods) wc_proximal_gradient() (in module PEPit.examples.composite_convex_minimization) wc_proximal_point() (in module PEPit.examples.monotone_inclusions) (in module PEPit.examples.unconstrained_convex_minimization) wc_relatively_inexact_proximal_point_algorithm() (in module PEPit.examples.inexact_proximal_methods) wc_robust_momentum() (in module PEPit.examples.unconstrained_convex_minimization) wc_saga() (in module PEPit.examples.stochastic_convex_minimization) wc_sgd() (in module PEPit.examples.stochastic_convex_minimization) wc_sgd_overparametrized() (in module PEPit.examples.stochastic_convex_minimization) wc_subgradient_method() (in module PEPit.examples.unconstrained_convex_minimization) wc_three_operator_splitting() (in module PEPit.examples.composite_convex_minimization) (in module PEPit.examples.monotone_inclusions) wc_triple_momentum() (in module PEPit.examples.unconstrained_convex_minimization)