Cover Image

Global Convergence Analysis of the Power Proximal Point and Augmented Lagrangian Method

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Oikonomidis, Konstantinos A., Bodard, Alexander, Laude, Emanuel, Patrinos, Panagiotis
Format:	Preprint
Published:	2023
Subjects:	Optimization and Control
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The inexact power augmented Lagrangian method for constrained nonconvex optimization
by: Bodard, Alexander, et al.
Published: (2024)

On the Regularity of Generalized Conjugate Functions
by: Oikonomidis, Konstantinos, et al.
Published: (2026)

Forward-backward splitting under the light of generalized convexity
by: Oikonomidis, Konstantinos, et al.
Published: (2025)

Anisotropic Proximal Point Algorithm
by: Laude, Emanuel, et al.
Published: (2023)

Nonlinearly Preconditioned Gradient Methods under Generalized Smoothness
by: Oikonomidis, Konstantinos, et al.
Published: (2025)

Anisotropic Proximal Gradient
by: Laude, Emanuel, et al.
Published: (2022)

Scaled relative graphs for pairs of operators beyond classical monotonicity
by: Quan, Jan, et al.
Published: (2025)

Nonlinearly preconditioned gradient flows
by: Oikonomidis, Konstantinos, et al.
Published: (2025)

All roads lead to Rome: Path-following Augmented Lagrangian Methods via Bregman Proximal Regularization
by: Laude, Emanuel
Published: (2026)

Nonlinearly Preconditioned Gradient Methods: Momentum and Stochastic Analysis
by: Oikonomidis, Konstantinos, et al.
Published: (2025)

Escaping saddle points without Lipschitz smoothness: the power of nonlinear preconditioning
by: Bodard, Alexander, et al.
Published: (2025)

Newton methods beyond Hessian Lipschitz continuity: A nonlinear preconditioning approach
by: Bodard, Alexander, et al.
Published: (2026)

Dualities for non-Euclidean smoothness and strong convexity under the light of generalized conjugacy
by: Laude, Emanuel, et al.
Published: (2021)

Second-order methods for provably escaping strict saddle points in composite nonconvex and nonsmooth optimization
by: Bodard, Alexander, et al.
Published: (2025)

Adaptive proximal gradient methods are universal without approximation
by: Oikonomidis, Konstantinos A., et al.
Published: (2024)

EM++: A parameter learning framework for stochastic switching systems
by: Wang, Renzi, et al.
Published: (2024)

Tight Analysis of Difference-of-Convex Algorithm (DCA) Improves Convergence Rates for Proximal Gradient Descent
by: Rotaru, Teodor, et al.
Published: (2025)

Constrained Stochastic Spectral Preconditioning Converges for Nonconvex Objectives
by: Oikonomidis, Konstantinos, et al.
Published: (2026)

QPALM: A Proximal Augmented Lagrangian Method for Nonconvex Quadratic Programs
by: Hermans, Ben, et al.
Published: (2020)

Complexity of Linearized Perturbed Augmented Lagrangian Methods for Nonsmooth Nonconvex Optimization with Nonlinear Equality Constraints
by: Bourkhissi, Lahcen El, et al.
Published: (2025)

Improved Analysis of Restarted Accelerated Gradient and Augmented Lagrangian Methods via Inexact Proximal Point Frameworks
by: Burns, Matthew X., et al.
Published: (2026)

Convergence of the Preconditioned Proximal Point Method and Douglas-Rachford Splitting in the Absence of Monotonicity
by: Evens, Brecht, et al.
Published: (2023)

PANOC-lite: A simpler and more efficient algorithm for composite minimization
by: Bodard, Alexander, et al.
Published: (2026)

Tight Convergence Rates in Gradient Mapping for the Difference-of-Convex Algorithm
by: Rotaru, Teodor, et al.
Published: (2025)

Q-Linear Convergence of the Proximal Augmented Lagrangian Method for Non-Convex Conic Programming
by: Zhang, Ning, et al.
Published: (2025)

Asymptotic Convergence Analysis of High-Order Proximal-Point Methods Beyond Sublinear Rates
by: Ahookhosh, Masoud, et al.
Published: (2025)

Inexact Augmented Lagrangian Methods for Conic Programs: Quadratic Growth and Linear Convergence
by: Liao, Feng-Yi, et al.
Published: (2024)

Risk-Sensitive Model Predictive Control for Interaction-Aware Planning -- A Sequential Convexification Algorithm
by: Wang, Renzi, et al.
Published: (2025)

Probabilistic Safety under Arbitrary Disturbance Distributions using Piecewise-Affine Control Barrier Functions
by: Teuwen, Matisse, et al.
Published: (2025)

Convergence Rate Analysis for Monotone Accelerated Proximal Gradient Method
by: Wang, Zepeng, et al.
Published: (2025)

Exact worst-case convergence rates of gradient descent: a complete analysis for all constant stepsizes over nonconvex and convex functions
by: Rotaru, Teodor, et al.
Published: (2024)

Improved convergence rates for the Difference-of-Convex algorithm
by: Rotaru, Teodor, et al.
Published: (2024)

A localized consensus-based sampling algorithm
by: Bouillon, Arne, et al.
Published: (2025)

Smoothed Proximal Lagrangian Method for Nonlinear Constrained Programs
by: Pu, Wenqiang, et al.
Published: (2024)

Damped Proximal Augmented Lagrangian Method for weakly-Convex Problems with Convex Constraints
by: Dahal, Hari, et al.
Published: (2023)

ripALM: A Relative-Type Inexact Proximal Augmented Lagrangian Method for Linearly Constrained Convex Optimization
by: Zhu, Jiayi, et al.
Published: (2024)

D-ripALM: A Tuning-friendly Decentralized Relative-Type Inexact Proximal Augmented Lagrangian Method
by: Zhu, Jiayi, et al.
Published: (2026)

Convergence of the Iterates of the Stochastic Proximal Gradient Method
by: Madariaga, Javier I.
Published: (2026)

An Augmented Lagrangian Method on GPU for Security-Constrained AC Optimal Power Flow
by: Pacaud, François, et al.
Published: (2025)

Parametric Nonconvex Optimization via Convex Surrogates
by: Wang, Renzi, et al.
Published: (2026)