Search Results - Nonconvex algorithm framework

A generalized nonconvex algorithm framework for low-rank and sparse matrix decomposition by Cui, Angang, Zhang, Lijun, He, Haizhen, Xue, Shengli

“… decomposition problem, namely, generalized low-rank and sparse matrix decomposition problem. The essence of this paper is to develop an adaptive algorithm framework with parameters updating for the nonconvex relaxation problem…”
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An Extended Primal-Dual Algorithm Framework for Nonconvex Problems: Application to Image Reconstruction in Spectral CT by Gao, Yu, Pan, Xiaochuan, Chen, Chong

“…Using the convexity of each component of the forward operator, we propose an extended primal-dual algorithm framework for solving a kind of nonconvex and probably nonsmooth optimization problems…”
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Unified Algorithm Framework for Nonconvex Stochastic Optimization in Deep Neural Networks by Zhu, Yini, Iiduka, Hideaki

“…This paper presents a unified algorithmic framework for nonconvex stochastic optimization, which is needed to train deep neural networks…”
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A universal noise-suppressing neural algorithm framework aided with nonconvex activation function for time-varying quadratic programming problems by Sun, Yingyi, Cao, Jianmin, Li, Chunxu

“…Time-varying quadratic programming problems (TVQPPs) subject to equality and inequality constraints with different measurement noises often arise in the fields…”
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Generalized Nonconvex Nonsmooth Low-Rank Matrix Recovery Framework With Feasible Algorithm Designs and Convergence Analysis by Zhang, Hengmin, Qian, Feng, Shi, Peng, Du, Wenli, Tang, Yang, Qian, Jianjun, Gong, Chen, Yang, Jian

“… This article mainly studies the alternating direction method of multiplier (ADMM) with two dual variables, which is used to optimize the generalized nonconvex nonsmooth low-rank matrix recovery problems…”
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A Flexible Framework for Cubic Regularization Algorithms for Nonconvex Optimization in Function Space by Schiela, Anton

“…We propose a cubic regularization algorithm that is constructed to deal with nonconvex minimization problems in function space…”
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An Extended Primal-Dual Algorithm Framework for Nonconvex Problems with Application to Nonlinear Imaging by Gao, Yu, Pan, Xiaochuan, Chen, Chong

“…We propose an extended primal-dual algorithm framework for solving a general nonconvex optimization model…”
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A unified framework for nonconvex nonsmooth sparse and low-rank decomposition by majorization-minimization algorithm by Zheng, Qian-Zhen, Xu, Ping-Feng

“… Since this convex model has certain limitations, various nonconvex models have been explored and found to be very promising…”
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Stochastic Bigger Subspace Algorithms for Nonconvex Stochastic Optimization by Yuan, Gonglin, Zhou, Yingjie, Wang, Liping, Yang, Qingyuan

“… This paper designs stochastic bigger subspace algorithms for solving nonconvex stochastic optimization problems…”
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Decomposition Algorithms Based on the Nonconvex Augmented Lagrangian Framework by Sun, Kaizhao

“…Many problems of recent interest arising from engineering and data sciences go beyond the framework of convex optimization and inevitably need to deal with nonconvex structures…”
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Boosting in the Presence of Outliers: Adaptive Classification With Nonconvex Loss Functions by Li, Alexander Hanbo, Bradic, Jelena

“… We propose a new boosting framework called ArchBoost that uses diminishing gradient property directly and leads to boosting algorithms that are provably robust…”
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Online Stochastic DCA With Applications to Principal Component Analysis by Le Thi, Hoai An, Luu, Hoang Phuc Hau, Dinh, Tao Pham

“… We propose new online stochastic algorithms based on the state-of-the-art DC Algorithm (DCA)-a powerful approach in nonconvex programming framework, in the online context of streaming data continuously generated…”
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Sparse Covariance Matrix Estimation by DCA-Based Algorithms by Phan, Duy Nhat, Le Thi, Hoai An, Dinh, Tao Pham

“… DC programming and DCA (DC algorithm), powerful tools in nonconvex programming framework, are investigated…”
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Lossless convexification of nonconvex MINLP on the UAV path‐planning problem by Zhang, Zhe, Wang, Jun, Li, Jianxun

“… A lossless convexification method is introduced into the generalized Benders decomposition algorithm framework…”
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Low-Rank Structure Learning via Nonconvex Heuristic Recovery by Deng, Yue, Dai, Qionghai, Liu, Risheng, Zhang, Zengke, Hu, Sanqing

“…In this paper, we propose a nonconvex framework to learn the essential low-rank structure from corrupted data…”
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A Relaxed Alternating Direction Method Of Multipliers For Separable Nonconvex Minimization Problems by Zhao, Jing, Guo, Chenzheng, Qin, Xiaolong

“… In this paper, we propose a relaxed ADMM with a general dual step-size, which includes the classic ADMM in the algorithm framework, for minimizing separable nonconvex functions with linear constraints…”
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Decomposition of Nonconvex Optimization via Bi-Level Distributed ALADIN by Engelmann, Alexander, Jiang, Yuning, Houska, Boris, Faulwasser, Timm

“… This article proposes a framework for decentralized nonconvex optimization via bi-level distribution of the augmented Lagrangian alternating direction inexact Newton (ALADIN) algorithm…”
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A convergence framework for inexact nonconvex and nonsmooth algorithms and its applications to several iterations by Sun, Tao, Jiang, Hao, Cheng, Lizhi, Zhu, Wei

“…In this paper, we consider the convergence of an abstract inexact nonconvex and nonsmooth algorithm…”
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A dual decomposition algorithm for separable nonconvex optimization using the penalty function framework by Quoc Tran Dinh, Necoara, Ion, Diehl, Moritz

“…We propose a dual decomposition method for solving separable nonconvex optimization problems that arise e.g…”
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SPULTRA: Low-Dose CT Image Reconstruction With Joint Statistical and Learned Image Models by Ye, Siqi, Ravishankar, Saiprasad, Long, Yong, Fessler, Jeffrey A.

“…, together with a data-driven regularizer exploiting a Union of Learned TRAnsforms (SPULTRA). Both the SP induced data-fidelity term and the regularizer in the proposed framework are nonconvex…”
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