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Nonlinear Optimization Submissions - 2015

January 2015

On iteratively reweighted Algorithms for Non-smooth Non-convex Optimization in Computer Vision
Peter Ochs, Alexey Dosovitskiy, Thomas Brox, Thomas Pock

Other
New Ranks for Even-Order Tensors and Their Applications in Low-Rank Tensor Optimization
Bo Jiang, Shiqian Ma, Shuzhong Zhang

Constrained Nonlinear Optimization
A trust-funnel method for nonlinear optimization problems with general nonlinear constraints and its application to derivative-free optimization
Phillipe Sampaio, Philippe Toint

Constrained Nonlinear Optimization
On the Performance of SQP Methods for Nonlinear Optimization
Philip Gill, Michael Saunders, Elizabeth Wong


February 2015

Alternating direction methods for non convex optimization with applications to second-order least-squares and risk parity portfolio selection
Xi Bai, Scheinberg Katya

Constrained Nonlinear Optimization
A cone-continuity constraint qualification and algorithmic consequences
Roberto Andreani, Jose Mario Martinez, Alberto Ramos, Paulo J. S. Silva

Bound-constrained Optimization
On the application of the spectral projected gradient method in image segmentation
Laura Antonelli, Valentina De Simone, Daniela di Serafino

Constrained Nonlinear Optimization
Copositivity for second-order optimality conditions in general smooth optimization problems
Immanuel M. Bomze

Constrained Nonlinear Optimization
Optimality and complexity for constrained optimization problems with nonconvex regularization
Wei Bian, Xiaojun Chen


March 2015

Systems governed by Differential Equations Optimization
On an Extension of One-Shots Methods to Incorporate Additional Constraints
Andrea Walther, Nicolas R. Gauger, Natalie Richert

Quadratic Programming
On the equivalence of the method of conjugate gradients and quasi-Newton methods on quadratic problems
Anders Forsgren, Tove Odland

Systems governed by Differential Equations Optimization
Second order forward-backward dynamical systems for monotone inclusion problems
Radu Ioan Bot, Ernö Robert Csetnek

Partial Relaxation of Equality-constrained Programs
Isaac Siwale

Quadratic Programming
Active-Set Methods for Convex Quadratic Programming
Anders Forsgren, Philip Gill, Elizabeth Wong


April 2015

Systems governed by Differential Equations Optimization
An extension of the projected gradient method to a Banach space setting with application in structural topology optimization
Luise Blank, Christoph Rupprecht

Systems governed by Differential Equations Optimization
Convergence rates for forward-backward dynamical systems associated with strongly monotone inclusions
Radu Ioan Bot, Ernö Robert Csetnek

On an adaptive regularization for ill-posed nonlinear systems and its trust-region implementation
Stefania Bellavia, Benedetta Morini, Elisa Riccietti

Unconstrained Optimization
Stochastic Optimization using a Trust-Region Method and Random Models
Ruobing Chen, Matt Menickelly, Katya Scheinberg

Bridging the Gap Between Multigrid, Hierarchical, and Receding-Horizon Control
Victor M Zavala

AN ASYMPTOTIC VISCOSITY SELECTION RESULT FOR THE REGULARIZED NEWTON DYNAMIC
Boushra Abbas

Constrained Nonlinear Optimization
A second-order sequential optimality condition for nonlinear optimization and applications
Roberto Andreani, Gabriel Haeser, Alberto Ramos , Paulo J.S. Silva


May 2015

STABILITY OF A REGULARIZED NEWTON METHOD WITH TWO POTENTIALS
Boushra Abbas

Unconstrained Optimization
Global convergence rate analysis of unconstrained optimization methods based on probabilistic models
Coralia Cartis, Katya Scheinberg

Other
A Taxonomy of Constraints in Simulation-Based Optimization
Sébastien Le Digabel, Stefan M. Wild

Other
A version of the Ekeland variational principle for an extended real-valued function which is lower semicontinuous on its domain
Xuan Duc Ha Truong


June 2015

Unconstrained Optimization
Simple unified convergence proofs for Trust Region and a new ARC variant
Jean-Pierre Dussault

A second-order globally convergent direct-search method and its worst-case complexity
S. Gratton, C. W. Royer, L. N. Vicente

Unconstrained Optimization
On the steepest descent algorithm for quadratic functions
Clovis Gonzaga, Ruana Schneider

Unconstrained Optimization
On Solving L-SR1 Trust-Region Subproblems
Johannes Brust, Jennifer Erway, Roummel Marcia

Unconstrained Optimization
Worst-case evaluation complexity for unconstrained nonlinear optimization using high-order regularized models
E. G. Birgin, J.L. Gardenghi, J.M. Martinez, S.A. Santos, Ph. L. Toint

Constrained Nonlinear Optimization
Nonlinear Programming Strategies on High-Performance Computers
Jia Kang, Naiyuan Chiang, Carl D. Laird, Victor M. Zavala


July 2015

BFO, a trainable derivative-free Brute Force Optimizer for nonlinear bound-constrained optimization and equilibrium computations with continuous and discrete variables
Margherita Porcelli, Philippe L. Toint

A remark on the lower semicontinuity assumption in the Ekeland variational principle
Xuan Duc Ha Truong

Other
On efficiently computing the eigenvalues of limited-memory quasi-Newton matrices
Jennifer Erway, Roummel Marcia

Unconstrained Optimization
Randomized Derivative-Free Optimization of Noisy Convex Functions
Ruobing Chen, Stefan Wild

Bound-constrained Optimization
Bound-constrained polynomial optimization using only elementary calculations
Etienne de Klerk, Jean Lasserre, Monique Laurent, Zhao Sun

A Derivative-Free Trust-Region Algorithm for the Optimization of Functions Smoothed via Gaussian Convolution Using Adaptive Multiple Importance Sampling
Alvaro Maggiar, Andreas Waechter, Irina S Dolinskaya, Jeremy Staum

Constrained Nonlinear Optimization
Evaluation complexity for nonlinear constrained optimization using unscaled KKT conditions and high-order models
E. G. Birgin, J. L. Gardenghi, J. M. Martinez, S. A. Santos, Ph. L. Toint

Constrained Nonlinear Optimization
Global convergence of a derivative-free inexact restoration filter algorithm for nonlinear programming
Priscila S. Ferreira, Elizabeth W. Karas, Mael Sachine

Constrained Nonlinear Optimization
A special case of the generalized pooling problem arising in the mining industry
Natashia Boland, Thomas Kalinowski, Fabian Rigterink, Martin Savelsbergh

Constrained Nonlinear Optimization
Bounded perturbation resilience of projected scaled gradient methods
Wenma Jin, Yair Censor, Ming Jiang

The Sparse PCA Problem: Optimality Conditions and Algorithms
Amir Beck, Yakov Vaisbourd

A DERIVATIVE-FREE APPROACH TO CONSTRAINED MULTIOBJECTIVE NONSMOOTH OPTIMIZATION
Giampaolo Liuzzi, Stefano Lucidi, Francesco Rinaldi


August 2015

Constrained Nonlinear Optimization
A polynomially solvable case of the pooling problem
Natashia Boland, Thomas Kalinowski, Fabian Rigterink

Unconstrained Optimization
A New Trust Region Method with Simple Model for Large-Scale Optimization
Qunyan Zhou, Wenyu Sun, Hongchao Zhang


September 2015

Other
Variational Principles and Completeness in Pseudo-Quasimetric Spaces
Bao Q. Truong, Antoine Soubeyran

Newton-like method with diagonal correction for distributed optimization
Dragana Bajovic, Dusan Jakovetic, Natasa Krejic, Natasa Krklec Jerinkic

Constrained Nonlinear Optimization
Sequential equality-constrained optimization for nonlinear programming
E. G. Birgin, L. F. Bueno, J. M. Martinez

A Nonmonotone Projected Gradient Method for Optimization over Sparse Symmetric Sets
Zhaosong Lu

Manifold Sampling for L1 Nonconvex Optimization
Jeffrey Larson, Matt Menickelly, Stefan Wild


October 2015

Other
ASTRO-DF: A Class of Adaptive Sampling Trust-Region Algorithms for Derivative-Free Simulation Optimization
Sara Shashaani, Hashemi Fatemeh, Pasupathy Raghu

Improved Damped Quasi-Newton Methods for Unconstrained Optimization
Mehiddin Al-Baali, Lucio Grandinetti

Systems governed by Differential Equations Optimization
Combinatorial Optimal Control of Semilinear Elliptic PDEs
Christoph Buchheim, Christian Meyer, Renke Schäfer

Unconstrained Optimization
Evaluation complexity bounds for smooth constrained nonlinear optimization using scaled KKT conditions and high-order models
Coralia Cartis, Nick Gould, Philippe L. Toint

Nonlinear Systems and Least-Squares
Robust Numerical Calibration in Second Order Perturbed Multiscale Stochastic Volatility Models
Radu Baltean-Lugojan, Panos Parpas

Other
On solving limited-memory quasi-Newton equations
Jennifer B. Erway, Roummel F. Marcia


November 2015

Unconstrained Optimization
A note on robust descent in differentiable optimization
Jean-Pierre Dussault

Constrained Nonlinear Optimization
Strict Constraint Qualifications and Sequential Optimality Conditions for Constrained Optimization
Roberto Andreani, José Mario Martínez, Alberto Ramos, Paulo J. S. Silva

Unconstrained Optimization
Cubic-regularization counterpart of a variable-norm trust-region method for unconstrained minimization
J. M. Martínez, M. Raydan

Improved worst-case evaluation complexity for potentially rank-deficient nonlinear least-Euclidean-norm problems using higher-order regularized models
Coralia Cartis, Nicholas I M Gould, Philippe L Toint

Sparse Recovery via Partial Regularization: Models, Theory and Algorithms
Zhaosong Lu, Xiaorui Li

Schatten-p Quasi-Norm Regularized Matrix Optimization via Iterative Reweighted Singular Value Minimization
Zhaosong Lu, Yong Zhang

Global Convergence of ADMM in Nonconvex Nonsmooth Optimization
Yu Wang, Wotao Yin, Jinshan Zeng


December 2015

Nonlinear Systems and Least-Squares
Backward Step Control for Global Newton-type Methods
Andreas Potschka

Systems governed by Differential Equations Optimization
A framework for simultaneous aerodynamic design optimization in the presence of chaos
Stefanie Günther, Nicolas R. Gauger, Qiqi Wang

Constrained Nonlinear Optimization
Solutions of a constrained Hermitian matrix-valued function optimization problem with applications
Tian Yongge

Constrained Nonlinear Optimization
Feasible Cone Algorithm for solving Linearly and Nonlinearly Constrained Problems with Derivative Free Optimization and Strategies for Dealing with Multimodal Functions
Ubaldo García Palomares, Ildemaro García Urrea, Pedro Rodríguez Hernández

Other
The Riemannian Barzilai-Borwein method with nonmonotone line-search and the Karcher mean computation
Bruno Iannazzo, Margherita Porcelli

Constrained Nonlinear Optimization
Local Nonglobal Minima for Solving Large Scale Extended Trust Region Subproblems
Maziar Salahi, Akram Taati, Henry Wolkowicz


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