Related references
Note: Only part of the references are listed.Convergence of iterates for first-order optimization algorithms with inertia and Hessian driven damping
Hedy Attouch et al.
OPTIMIZATION (2023)
Tensor methods for finding approximate stationary points of convex functions
G. N. Grapiglia et al.
OPTIMIZATION METHODS & SOFTWARE (2022)
FAST CONVEX OPTIMIZATION VIA INERTIAL DYNAMICS COMBINING VISCOUS AND HESSIAN-DRIVEN DAMPING WITH TIME RESCALING
Hedy Attouch et al.
EVOLUTION EQUATIONS AND CONTROL THEORY (2022)
Fast Convergence of Dynamical ADMM via Time Scaling of Damped Inertial Dynamics
Hedy Attouch et al.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS (2022)
Implementable tensor methods in unconstrained convex optimization
Yurii Nesterov
MATHEMATICAL PROGRAMMING (2021)
Tikhonov regularization of a second order dynamical system with Hessian driven damping
Radu Ioan Bot et al.
MATHEMATICAL PROGRAMMING (2021)
Continuous Newton-like Inertial Dynamics for Monotone Inclusions
Hedy Attouch et al.
SET-VALUED AND VARIATIONAL ANALYSIS (2021)
On dissipative symplectic integration with applications to gradient-based optimization
Guilherme Franca et al.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2021)
UNIFIED ACCELERATION OF HIGH-ORDER ALGORITHMS UNDER GENERAL HO\LDER CONTINUITY
Chaobing Song et al.
SIAM JOURNAL ON OPTIMIZATION (2021)
GENERALIZED MOMENTUM-BASED METHODS: A HAMILTONIAN PERSPECTIVE
Jelena Diakonikolas et al.
SIAM JOURNAL ON OPTIMIZATION (2021)
Convergence of a relaxed inertial proximal algorithm for maximally monotone operators
Hedy Attouch et al.
MATHEMATICAL PROGRAMMING (2020)
Conformal symplectic and relativistic optimization
Guilherme Franca et al.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2020)
TENSOR METHODS FOR MINIMIZING CONVEX FUNCTIONS WITH HOLDER CONTINUOUS HIGHER-ORDER DERIVATIVES
G. N. Grapiglia et al.
SIAM JOURNAL ON OPTIMIZATION (2020)
A UNIFIED ADAPTIVE TENSOR APPROXIMATION SCHEME TO ACCELERATE COMPOSITE CONVEX OPTIMIZATION
Bo Jiang et al.
SIAM JOURNAL ON OPTIMIZATION (2020)
CONVERGENCE RATES OF DAMPED INERTIAL DYNAMICS UNDER GEOMETRIC CONDITIONS AND PERTURBATIONS
O. Sebbouh et al.
SIAM JOURNAL ON OPTIMIZATION (2020)
FINITE CONVERGENCE OF PROXIMAL-GRADIENT INERTIAL ALGORITHMS COMBINING DRY FRICTION WITH HESSIAN-DRIVEN DAMPING
Samir Adly et al.
SIAM JOURNAL ON OPTIMIZATION (2020)
NEWTON-LIKE INERTIAL DYNAMICS AND PROXIMAL ALGORITHMS GOVERNED BY MAXIMALLY MONOTONE OPERATORS
Hedy Attouch et al.
SIAM JOURNAL ON OPTIMIZATION (2020)
RATE OF CONVERGENCE OF THE NESTEROV ACCELERATED GRADIENT METHOD IN THE SUBCRITICAL CASE α ≤ 3
Hedy Attouch et al.
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS (2019)
RATE OF CONVERGENCE OF THE NESTEROV ACCELERATED GRADIENT METHOD IN THE SUBCRITICAL CASE α ≤ 3
Hedy Attouch et al.
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS (2019)
Oracle complexity of second-order methods for smooth convex optimization
Yossi Arjevani et al.
MATHEMATICAL PROGRAMMING (2019)
UNIVERSAL REGULARIZATION METHODS: VARYING THE POWER, THE SMOOTHNESS AND THE ACCURACY
Coralia Cartis et al.
SIAM JOURNAL ON OPTIMIZATION (2019)
THE APPROXIMATE DUALITY GAP TECHNIQUE: A UNIFIED THEORY OF FIRST-ORDER METHODS
Jelena Diakonikolas et al.
SIAM JOURNAL ON OPTIMIZATION (2019)
ACCELERATED REGULARIZED NEWTON METHODS FOR MINIMIZING COMPOSITE CONVEX FUNCTIONS
Geovani N. Grapiglia et al.
SIAM JOURNAL ON OPTIMIZATION (2019)
FAST PROXIMAL METHODS VIA TIME SCALING OF DAMPED INERTIAL DYNAMICS
Hedy Attouch et al.
SIAM JOURNAL ON OPTIMIZATION (2019)
Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity
Hedy Attouch et al.
MATHEMATICAL PROGRAMMING (2018)
Second-Order Optimality and Beyond: Characterization and Evaluation Complexity in Convexly Constrained Nonlinear Optimization
Coralia Cartis et al.
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS (2018)
Convergence of damped inertial dynamics governed by regularized maximally monotone operators
Hedy Attouch et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2018)
THE DIFFERENTIAL INCLUSION MODELING FISTA ALGORITHM AND OPTIMALITY OF CONVERGENCE RATE IN THE CASE b ≤ 3
Apidopoulos Vassilis et al.
SIAM JOURNAL ON OPTIMIZATION (2018)
ANALYSIS OF OPTIMIZATION ALGORITHMS VIA INTEGRAL QUADRATIC CONSTRAINTS: NONSTRONGLY CONVEX PROBLEMS
Mahyar Fazlyab et al.
SIAM JOURNAL ON OPTIMIZATION (2018)
Worst-case evaluation complexity for unconstrained nonlinear optimization using high-order regularized models
E. G. Birgin et al.
MATHEMATICAL PROGRAMMING (2017)
Asymptotic stabilization of inertial gradient dynamics with time-dependent viscosity
Hedy Attouch et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2017)
ON HIGH-ORDER MODEL REGULARIZATION FOR CONSTRAINED OPTIMIZATION
Jose Mario Martinez
SIAM JOURNAL ON OPTIMIZATION (2017)
REGULARIZED NEWTON METHODS FOR MINIMIZING FUNCTIONS WITH HOLDER CONTINUOUS HESSIANS
G. N. Grapiglia et al.
SIAM JOURNAL ON OPTIMIZATION (2017)
Asymptotic for a second-order evolution equation with convex potential and vanishing damping term
Ramzi May
TURKISH JOURNAL OF MATHEMATICS (2017)
Fast convex optimization via inertial dynamics with Hessian driven damping
Hedy Attouch et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2016)
Convergence to equilibrium for solutions of an abstract wave equation with general damping function
Tomas Barta et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2016)
A variational perspective on accelerated methods in optimization
Andre Wibisono et al.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2016)
SECOND ORDER FORWARD-BACKWARD DYNAMICAL SYSTEMS FOR MONOTONE INCLUSION PROBLEMS
Radu Ioan Bot et al.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION (2016)
EVALUATION COMPLEXITY FOR NONLINEAR CONSTRAINED OPTIMIZATION USING UNSCALED KKT CONDITIONS AND HIGH-ORDER MODELS
E. G. Birgin et al.
SIAM JOURNAL ON OPTIMIZATION (2016)
ANALYSIS AND DESIGN OF OPTIMIZATION ALGORITHMS VIA INTEGRAL QUADRATIC CONSTRAINTS
Laurent Lessard et al.
SIAM JOURNAL ON OPTIMIZATION (2016)
THE RATE OF CONVERGENCE OF NESTEROV'S ACCELERATED FORWARD-BACKWARD METHOD IS ACTUALLY FASTER THAN 1/k(2)
Hedy Attouch et al.
SIAM JOURNAL ON OPTIMIZATION (2016)
On damped second-order gradient systems
Pascal Begout et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2015)
Newton-Like Dynamics and Forward-Backward Methods for Structured Monotone Inclusions in Hilbert Spaces
B. Abbas et al.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS (2014)
Global Convergence of a Closed-Loop Regularized Newton Method for Solving Monotone Inclusions in Hilbert Spaces
H. Attouch et al.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS (2013)
Gradient methods for minimizing composite functions
Yu Nesterov
MATHEMATICAL PROGRAMMING (2013)
FIRST-ORDER CONTINUOUS NEWTON-LIKE SYSTEMS FOR MONOTONE INCLUSIONS
Paul-Emile Mainge
SIAM JOURNAL ON CONTROL AND OPTIMIZATION (2013)
AN ACCELERATED HYBRID PROXIMAL EXTRAGRADIENT METHOD FOR CONVEX OPTIMIZATION AND ITS IMPLICATIONS TO SECOND-ORDER METHODS
Renato D. C. Monteiro et al.
SIAM JOURNAL ON OPTIMIZATION (2013)
Every ordinary differential equation with a strict Lyapunov function is a gradient system
Tomas Barta et al.
MONATSHEFTE FUR MATHEMATIK (2012)
A CONTINUOUS DYNAMICAL NEWTON-LIKE APPROACH TO SOLVING MONOTONE INCLUSIONS
H. Attouch et al.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION (2011)
Approximation accuracy, gradient methods, and error bound for structured convex optimization
Paul Tseng
MATHEMATICAL PROGRAMMING (2010)
ON THE COMPLEXITY OF THE HYBRID PROXIMAL EXTRAGRADIENT METHOD FOR THE ITERATES AND THE ERGODIC MEAN
Renato D. C. Monteiro et al.
SIAM JOURNAL ON OPTIMIZATION (2010)
CHARACTERIZATIONS OF LOJASIEWICZ INEQUALITIES: SUBGRADIENT FLOWS, TALWEG, CONVEXITY
Jerome Bolte et al.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (2010)
A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
Amir Beck et al.
SIAM JOURNAL ON IMAGING SCIENCES (2009)
Accelerating the cubic regularization of Newton's method on convex problems
Yu. Nesterov
MATHEMATICAL PROGRAMMING (2008)
Convergence of global and bounded solutions of a second order gradient like system with nonlinear dissipation and analytic nonlinearity
L. Chergui
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS (2008)
A second-order gradient-like dissipative dynamical system with Hessian-driven damping. Application to optimization and mechanics
F Alvarez et al.
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES (2002)
An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping
F Alvarez et al.
SET-VALUED ANALYSIS (2001)
On the minimizing property of a second order dissipative system in Hilbert spaces
F Alvarez
SIAM JOURNAL ON CONTROL AND OPTIMIZATION (2000)
The heavy ball with friction method, I. The continuous dynamical system: Global exploration of the local minima of a real-valued function by asymptotic analysis of a dissipative dynamical system
H Attouch et al.
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS (2000)
Share Paper
