Search Results - Non- numerical Algorithms and Problems General Terms Algorithms

A Forward–Backward Algorithm With Different Inertial Terms for Structured Non-Convex Minimization Problems by László, Szilárd Csaba

“… The algorithm is formulated in the spirit of the famous FISTA method; however, the setting is non-convex and we allow different inertial terms…”
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A Robust Gauss‐Newton Algorithm for the Optimization of Hydrological Models: Benchmarking Against Industry‐Standard Algorithms by Qin, Youwei, Kavetski, Dmitri, Kuczera, George

“…‐type methods, in the light of the geometrically problematic features of objective functions, such as multiple optima and general nonsmoothness…”
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Mirror Prox algorithm for multi-term composite minimization and semi-separable problems by He, Niao, Juditsky, Anatoli, Nemirovski, Arkadi

“…In the paper, we develop a composite version of Mirror Prox algorithm for solving convex…”
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Inexact Fixed-Point Proximity Algorithm for the ℓ0 Sparse Regularization Problem by Fang, Ronglong, Xu, Yuesheng, Yan, Mingsong

“… 0 norm regularization term. Such an ℓ 0 model is non-convex. Existing exact algorithms for solving the problems require the availability of closed-form formulas…”
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Review of wetting and drying algorithms for numerical tidal flow models by Medeiros, Stephen C., Hagen, Scott C.

“… The numerical models reviewed employ WD algorithms that fall into four general frameworks: (1) Specifying a thin film of fluid over the entire domain…”
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The ordered k-median problem: surrogate models and approximation algorithms by Aouad, Ali, Segev, Danny

“…In the last two decades, a steady stream of research has been devoted to studying various computational aspects of the ordered k -median problem, which subsumes traditional facility location problems…”
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Convergence of proximal algorithms with stepsize controls for non-linear inverse problems and application to sparse non-negative matrix factorization by Pham, Quy Muoi, Lachmund, Delf, Hào, Dinh Nho

“… These algorithms are then applied to the sparse and non-negative matrix factorization problems. Based on a priori information of non-negativity and sparsity of the exact solution, the problem is regularized…”
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An approximation proximal gradient algorithm for nonconvex-linear minimax problems with nonconvex nonsmooth terms by He, Jiefei, Zhang, Huiling, Xu, Zi

“… In this paper, we propose an efficient approximation proximal gradient algorithm for solving a class of nonsmooth nonconvex-linear minimax problems with a nonconvex nonsmooth term, and the number…”
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Fast convergence of the primal-dual dynamical system and corresponding algorithms for a nonsmooth bilinearly coupled saddle point problem by Ding, Ke-wei, Fliege, Jörg, Vuong, Phan Tu

“… Based on an implicit discretization scheme, we propose a primal-dual algorithm and provide a non-ergodic convergence rate under a general setting for the inertial parameters when one objective…”
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Computational Methods and Applications for Numerical Analysis

“… “Computational Methods and Applications for Numerical Analysis” of the MDPI “Mathematics” journal, which surround the theory, algorithms, programming, software, numerical…”
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A non-convex piecewise quadratic approximation of ℓ0 regularization: theory and accelerated algorithm by Li, Qian, Zhang, Wei, Bai, Yanqin, Wang, Guoqiang

“… In this paper, we study the non-convex piecewise quadratic approximation (PQA) regularization for sparse solutions of the linear inverse problem…”
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Non-negative Sparse Recovery via Momentum-Boosted Adaptive Thresholding Algorithm by He, Zihao, Wang, Zhi-Yong, Wen, Jinming, So, Hing Cheung

“…Recovering a non-negative sparse signal from an underdetermined linear system remains a challenging problem in signal processing…”
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The Boosted Double-proximal Subgradient Algorithm for nonconvex optimization by Aragón-Artacho, Francisco J., Pérez-Aros, Pedro, Torregrosa-Belén, David

“…In this paper we introduce the Boosted Double-proximal Subgradient Algorithm (BDSA), a novel splitting algorithm designed to address general structured…”
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CSOLNP: Numerical Optimization Engine for Solving Non-linearly Constrained Problems by Zahery, Mahsa, Maes, Hermine H., Neale, Michael C.

“… R package version, 1) alongside some improvements. CSOLNP solves non-linearly constrained optimization problems using a Sequential Quadratic Programming (SQP) algorithm. CSOLNP, NPSOL…”
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A Preconditioned Version of a Nested Primal-Dual Algorithm for Image Deblurring by Aleotti, Stefano, Donatelli, Marco, Krause, Rolf, Scarlato, Giuseppe

“…Variational models for image deblurring problems typically consist of a smooth term and a potentially non-smooth convex term…”
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Point Cloud Denoising via Feature Graph Laplacian Regularization by Dinesh, Chinthaka, Cheung, Gene, Bajic, Ivan V.

“… Using SDFGLR as a signal prior, we formulate an optimization problem with a general ℓ…”
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A Convergent Iterative Support Shrinking Algorithm for Non-Lipschitz Multi-phase Image Labeling Model by Yang, Yijie, Li, Yutong, Wu, Chunlin, Duan, Yuping

“…The non-Lipschitz piecewise constant Mumford–Shah model has been shown effective for image labeling and segmentation problems [ 33…”
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A goal-oriented adaptive finite-element approach for 3-D marine controlled-source electromagnetic problems with general electrical anisotropy by Wang, Feiyan, Ren, Zhengyong, Zhao, Lihong

“… We formulate the primal boundary value problem in terms of the total electric field for general applications…”
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Efficient quantum algorithm for dissipative nonlinear differential equations by Liu, Jin-Peng, Kolden, Herman Øie, Krovi, Hari K, Loureiro, Nuno F, Trivisa, Konstantina, Childs, Andrew M

“… While there has been extensive previous work on efficient quantum algorithms for linear differential equations, the linearity of quantum mechanics has limited analogous progress for the nonlinear case…”
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A general algorithm for evaluating nearly singular integrals in anisotropic three-dimensional boundary element analysis by Gu, Yan, Gao, Hongwei, Chen, Wen, Zhang, Chuanzeng

“…This paper presents a new general method for the evaluation of nearly singular boundary element integrals arising in anisotropic three-dimensional (3D…”
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