Results 31 to 40 of about 39,060 (206)

Stochastic Frank-Wolfe Methods for Nonconvex Optimization

open access: yes, 2016
We study Frank-Wolfe methods for nonconvex stochastic and finite-sum optimization problems. Frank-Wolfe methods (in the convex case) have gained tremendous recent interest in machine learning and optimization communities due to their projection-free ...
Poczos, Barnabas   +3 more
core   +1 more source

Stochastic Optimal Growth with Nonconvexities

open access: yesJournal of Mathematical Economics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nishimura, Kazuo   +2 more
openaire   +2 more sources

Nonconvex Low Tubal Rank Tensor Minimization

open access: yesIEEE Access, 2019
In the sparse vector recovery problem, the L0-norm can be approximated by a convex function or a nonconvex function to achieve sparse solutions. In the low-rank matrix recovery problem, the nonconvex matrix rank can be replaced by a convex function or a ...
Yaru Su, Xiaohui Wu, Genggeng Liu
doaj   +1 more source

Convex underestimating relaxation techniques for nonconvex polynomial programming problems: computational overview

open access: yesJournal of the Mechanical Behavior of Materials, 2015
This paper introduces constructing convex-relaxed programs for nonconvex optimization problems. Branch-and-bound algorithms are convex-relaxation-based techniques.
Keller André A.
doaj   +1 more source

A Tensor Analogy of Yuan's Theorem of the Alternative and Polynomial Optimization with Sign structure

open access: yes, 2014
Yuan's theorem of the alternative is an important theoretical tool in optimization, which provides a checkable certificate for the infeasibility of a strict inequality system involving two homogeneous quadratic functions.
Hu, Shenglong, Li, Guoyin, Qi, Liqun
core   +1 more source

Positive definite estimation of large covariance matrix using generalized nonconvex penalties

open access: yesIEEE Access, 2016
This paper addresses the issue of large covariance matrix estimation in a high-dimensional statistical analysis. Recently, improved iterative algorithms with positive-definite guarantee have been developed.
Fei Wen   +3 more
doaj   +1 more source

Deterministic Nonsmooth Nonconvex Optimization

open access: yes, 2023
We study the complexity of optimizing nonsmooth nonconvex Lipschitz functions by producing $(δ,ε)$-stationary points. Several recent works have presented randomized algorithms that produce such points using $\tilde O(δ^{-1}ε^{-3})$ first-order oracle calls, independent of the dimension $d$. It has been an open problem as to whether a similar result can
Jordan, Michael I.   +4 more
openaire   +2 more sources

Operational Properties of SCN Function, Optimization Condition, and Exactness of Penalty Function for SCN Optimization

open access: yesJournal of Mathematics
This paper defines a strong convertible nonconvex (SCN) function for solving the unconstrained optimization problems with the nonconvex or nonsmooth (nondifferentiable) function.
Min Jiang   +3 more
doaj   +1 more source

Linearized ADMM for Nonconvex Nonsmooth Optimization With Convergence Analysis

open access: yesIEEE Access, 2019
Linearized alternating direction method of multipliers (ADMM) as an extension of ADMM has been widely used to solve linearly constrained problems in signal processing, machine learning, communications, and many other fields.
Qinghua Liu, Xinyue Shen, Yuantao Gu
doaj   +1 more source

Data‐Driven Bulldozer Blade Control for Autonomous Terrain Leveling

open access: yesAdvanced Robotics Research, EarlyView.
A simulation‐driven framework for autonomous bulldozer leveling is presented, combining high‐fidelity terramechanics simulation with a neural‐network‐based reduced‐order model. Gradient‐based optimization enables efficient, low‐level blade control that balances leveling quality and operation time.
Harry Zhang   +5 more
wiley   +1 more source

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