Optimization Online


Nonlinear Optimization Submissions - 2016

January 2016

Unified conditional gradient type methods for composite nonlinear and stochastic optimization

Unconstrained Optimization
A Stochastic Majorize-Minimize Subspace Algorithm for Online Penalized Least Squares Estimation
Emilie Chouzenoux, Jean-Christophe Pesquet

A multiplier method with a class of penalty functions for convex programming
Romulo A Castillo, Luiz C Matioli, Clavel Quintana

Systems governed by Differential Equations Optimization
Constrained Optimization with Low-Rank Tensors and Applications to Parametric Problems with PDEs
Sebastian Garreis, Michael Ulbrich

Constrained Nonlinear Optimization
A Riemannian rank-adaptive method for low-rank optimization
Guifang Zhou, Wen Huang, Kyle A. Gallivan, Paul Van Dooren, P.-A. Absil

February 2016

On the convergence of stochastic bi-level gradient methods
Nicolas Couellan, Wenjuan Wang

Unconstrained Optimization
Gradient Descent only Converges to Minimizers
Jason D. Lee, Max Simchowitz, Michael I. Jordan, Benjamin Recht

Quadratic Programming
A Dual Gradient-Projection Method for Large-Scale Strictly Convex Quadratic Problems
Nicholas I. M. Gould, Daniel P. Robinson

Hardness of Approximation for Sparse Optimization with L0 Norm
Yichen Chen, Mengdi Wang

March 2016

Quadratic Programming
A Second-Order Cone Based Approach for Solving the Trust Region Subproblem and Its Variants
Nam Ho-Nguyen, Fatma Kilinc-Karzan

Constrained Nonlinear Optimization
A new algebraic analysis to linear mixed models
Yongge Tian

A predictor-corrector path-following algorithm for dual-degenerate parametric optimization problems
Vyacheslav Kungurtsev, Johannes Jäschke

April 2016

Systems governed by Differential Equations Optimization
Submodularity in Binary Optimal Control of PDEs
Christoph Buchheim, Christian Meyer

Constrained Nonlinear Optimization
Mathematical Programms with Equilibrium Constraints: A sequential optimality condition, new constraint qualifications and algorithmic consequences.
Alberto Ramos

May 2016

Structured Nonconvex and Nonsmooth Optimization: Algorithms and Iteration Complexity Analysis
Bo Jiang, Tianyi Lin, Shiqian Ma, Shuzhong Zhang

How good is the Bounded Degree Sum-of-Squares Hierarchy of Lasserre, Toh, and Yang?
Ahmadreza Marandi, Joachim Dahl, Etienne de Klerk

Constrained Nonlinear Optimization
Solving PhaseLift by low-rank Riemannian optimization methods for complex semidefinite constraints
Wen Huang, Kyle Gallivan, Xiangxiong Zhang

Intrinsic Representation of Tangent Vectors and Vector transport on Matrix Manifolds
Wen Huang, P.-A. Absil, Kyle Gallivan

Randomized Primal-Dual Proximal Block Coordinate Updates
Xiang Gao, Yangyang Xu, Shuzhong Zhang

Constrained Nonlinear Optimization
A fresh CP look at mixed-binary QPs: New formulations and relaxations
Immanuel Bomze, Jianqiang Cheng, Peter J.C. Dickinson, Abdel Lisser

Constrained Nonlinear Optimization
A note on the squared slack variables technique for nonlinear optimization
Ellen H. Fukuda, Masao Fukushima

Systems governed by Differential Equations Optimization
Efficient Symmetric Hessian Propagation for Direct Optimal Control
Rien Quirynen, Boris Houska, Moritz Diehl

Systems governed by Differential Equations Optimization
Lifted Collocation Integrators for Direct Optimal Control in ACADO Toolkit
Rien Quirynen, Sebastien Gros, Boris Houska, Moritz Diehl

June 2016

Constrained Nonlinear Optimization
Order-based error for managing ensembles of surrogates in derivative-free optimization
Charles Audet, Michael Kokkolaras, Sébastien Le Digabel, Bastien Talgorn

Quadratic Programming
Solving Box-Constrained Nonconvex Quadratic Programs
Peirre Bonami, oktay gunluk, jeff lineroth

Optimization Methods for Large-Scale Machine Learning
Léon Bottou, Frank E. Curtis, Jorge Nocedal

Constrained Nonlinear Optimization
On a conjecture in second-order optimality conditions
Roger Behling, Gabriel Haeser, Alberto Ramos, Daiana S. Viana

Systems governed by Differential Equations Optimization
Inexact Newton-Type Optimization with Iterated Sensitivities
Rien Quirynen, Sebastien Gros, Moritz Diehl

Systems governed by Differential Equations Optimization
A Sparsity Preserving Convexification Procedure for Indefinite Quadratic Programs Arising in Direct Optimal Control
Robin Verschueren, Mario Zanon, Rien Quirynen, Moritz Diehl

A Second-Order Information-Based Gradient and Function Sampling Method for Nonconvex, Nonsmooth Optimization
Elias Salomăo Helou, Sandra Augusta Santos, Lucas E. A. Simőes

Constrained Nonlinear Optimization
A progressive barrier derivative-free trust-region algorithm for constrained optimization
Charles Audet, Andrew R. Conn, Sébastien Le Digabel, Mathilde Peyrega

Globally Convergent Levenberg-Marquardt Method For Phase Retrieval
Chao Ma, Xin Liu, Zaiwen Wen

A Multilevel Proximal Gradient Algorithm for Large Scale Optimization
Panos Parpas

July 2016

Stochastic Quasi-Newton Methods for Nonconvex Stochastic Optimization
Xiao Wang, Shiqian Ma, Donald Goldfarb, Wei Liu

Constrained Nonlinear Optimization
A derivative-free trust-region augmented Lagrangian algorithm
Charles Audet, Sébastien Le Digabel, Mathilde Peyrega

Unconstrained Optimization
Shape-Changing L-SR1 Trust-Region Methods
Johannes Brust, Oleg Burdakov, Jennifer Erway, Roummel Marcia, Ya-xiang Yuan

Bound-constrained Optimization
A Two-Stage Active-Set Algorithm for Bound-Constrained Optimization
Andrea Cristofari, Marianna De Santis, Stefano Lucidi, Francesco Rinaldi

August 2016

The Role of Flexibility in Structure-Based Acceleration for Online Convex Optimization
Nam Ho-Nguyen, Fatma Kilinc-Karzan

Quadratic Programming
A new branch-and-bound algorithm for standard quadratic programming problems
Giampaolo Liuzzi, Marco Locatelli, Veronica Piccialli

Nonlinear Systems and Least-Squares
Approximate norm descent methods for constrained nonlinear systems
Benedetta Morini, Margherita Porcelli, Philippe L. Toint

Constrained Nonlinear Optimization
Second-order optimality and beyond: characterization and evaluation complexity in convexly-constrained nonlinear optimization
Coralia Cartis, Nicholas I. M. Gould, P Toint

A Sequential Algorithm for Solving Nonlinear Optimization Problems with Chance Constraints
Frank E Curtis, Andreas Waechter, Victor M Zavala

September 2016

A Riemannian conjugate gradient method for optimization on the Stiefel manifold
Xiaojing Zhu

Constrained Nonlinear Optimization
A numerical comparison of Hessian update techniques for an SQCQP method
Kato Atsushi

Constrained Nonlinear Optimization
Low-complexity iterative method for hybrid MPC
Damian Frick, Juan L. Jerez, Alexander Domahidi, Angelos Georghiou, Manfred Morari

Accelerated gradient sliding for structured convex optimization
Guanghui Lan, Yuyuan Ouyang

A SMART Stochastic Algorithm for Nonconvex Optimization with Applications to Robust Machine Learning
Aleksandr Aravkin, Damek Davis

Quadratic Programming
A feasible active set method for asymmetric complementarity problems
Philipp Hungerlaender, Joaquim Judice, Franz Rendl

Quadratic Programming
An Infeasible Active Set Method with Combinatorial Line Search for Convex Quadratic Problems with Bound Constraints
Hungerlaender Philipp, Franz Rendl

Exact and Inexact Subsampled Newton Methods for Optimization
Raghu Bollapragada, Richard Byrd, Jorge Nocedal

Constrained Nonlinear Optimization
A New First-order Framework for Orthogonal Constrained Optimization Problems
Bin Gao, Xin Liu, Xiaojun Chen, Ya-xiang Yuan

October 2016

Unconstrained Optimization
Block BFGS Methods
Wenbo Gao, Donald Goldfarb

R-Linear Convergence of Limited Memory Steepest Descent
Frank E. Curtis, Wei Guo

Error bounds for nonlinear semidefinite optimization
Hiroshi Yamashita

On the local convergence analysis of the Gradient Sampling method
Elias Salomăo Helou, Sandra A. Santos, Lucas E. A. Simőes

Unconstrained Optimization
Quadratic regularization with cubic descent for unconstrained optimization
Ernesto G. Birgin, J. M. Martínez

Constrained Nonlinear Optimization
A second-order optimality condition with first and second-order complementarity associated to global convergence of algorithms
Gabriel Haeser

November 2016

BFGS-like updates of constraint preconditioners for sequences of KKT linear systems
Luca Bergamaschi , Valentina De Simone, Daniela di Serafino, Angeles Martinez

Unconstrained Optimization
Numerical Experience with a Class of Trust-Region Algorithms for Unconstrained Smooth Optimization
Abel Soares Siqueira, Geovani Nunes Grapiglia

Sequential Linear Programming and Particle Swarm Optimization for the optimization of energy districts
Elisa Riccietti, Stefania Bellavia, Stefano Sello

Quadratic Programming
trlib: A vector-free implementation of the GLTR method for iterative solution of the trust region problem
Felix Lenders, Christian Kirches, Andreas Potschka

Systems governed by Differential Equations Optimization
Numerical solution of optimal control problems with implicit switches
Hans Georg Bock, Christian Kirches, Andreas Meyer, Andreas Potschka

Locally weighted regression models for surrogate-assisted design optimization
Bastien Talgorn, Charles Audet, Sébastien Le Digabel, Michael Kokkolaras

Constrained Nonlinear Optimization
Efficient solution of quadratically constrained quadratic subproblems within the MADS algorithm
Nadir Amaioua, Charles Audet, Andrew R Conn, Sébastien Le Digabel

Systems governed by Differential Equations Optimization
Preconditioning PDE-constrained optimization with L^1-sparsity and control constraints
Margherita Porcelli, Valeria Simoncini, Martin Stoll

Constrained Nonlinear Optimization
Pessimistic Referential-Uncooperative Linear Bilevel Multi-follower Decision Making with An Application to Water Resources Optimal Allocation
Yue Zheng, Yuxin Fan, Xiangzhi Zhuo, Jiawei Chen

December 2016

Unconstrained Optimization
Optimization Algorithms for Data Analysis
Stephen J Wright

Universal regularization methods - varying the power, the smoothness and the accuracy
Coralia Cartis, Nick I M Gould, Philippe L Toint

Constrained Nonlinear Optimization
Augmented Lagrangians with constrained subproblems and convergence to second-order stationary points
E. G. Birgin, G. Haeser, A. Ramos

Bound-constrained Optimization
Unified approach for solving Box-Constrained models with continuous or discrete variables by Non monotonous Derivative Free Optimization techniques.
Ubaldo M Garcia Palomares, Pedro S Rodríguez Hernández

On the Convergence of Asynchronous Parallel Iteration with Arbitrary Delays
Zhimin Peng, Yangyang Xu, Ming Yan, Wotao Yin

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