Search Results - Analysis of Algorithms and Problem Complexity General Terms Algorithms
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Zeroth-order algorithms for nonconvex–strongly-concave minimax problems with improved complexities
ISSN: 0925-5001, 1573-2916Published: New York Springer US 01.11.2023Published in Journal of global optimization (01.11.2023)“…) algorithm, and provide improved results compared to existing works, in terms of oracle complexity…”
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An approximation proximal gradient algorithm for nonconvex-linear minimax problems with nonconvex nonsmooth terms
ISSN: 0925-5001, 1573-2916Published: New York Springer US 01.09.2024Published in Journal of global optimization (01.09.2024)“… 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 algorithms for non-convex tensor completion problems: Fast algorithms for non-convex tensor completion problems
ISSN: 1012-9405, 2190-7668Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2025Published in Afrika mathematica (01.06.2025)“… visualization and analysis. Traditional methods for processing multi-dimensional data, such as matrix-based singular value decomposition (SVD…”
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Practical options for selecting data-driven or physics-based prognostics algorithms with reviews
ISSN: 0951-8320, 1879-0836Published: Oxford Elsevier Ltd 01.01.2015Published in Reliability engineering & system safety (01.01.2015)“… algorithm’s attributes and pros and cons are analyzed in terms of model definition, model parameter estimation and ability to handle noise and bias in data…”
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On lower iteration complexity bounds for the convex concave saddle point problems
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2022Published in Mathematical programming (01.07.2022)“… , where the term L xy 2 μ x μ y explains how the coupling influences the iteration complexity. Under several special parameter regimes, this lower bound has been achieved by corresponding optimal algorithms…”
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A survey on evolutionary computation for complex continuous optimization
ISSN: 0269-2821, 1573-7462Published: Dordrecht Springer Netherlands 01.01.2022Published in The Artificial intelligence review (01.01.2022)“… any-constraints, and M any-costs. We term these as 5-M challenges that exist in large-scale optimization problems, dynamic optimization problems, multi-modal optimization problems, multi-objective optimization problems, many…”
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A criterion-space branch-reduction-bound algorithm for solving generalized multiplicative problems
ISSN: 0925-5001, 1573-2916Published: New York Springer US 01.07.2024Published in Journal of global optimization (01.07.2024)“…In this paper, we investigate a generalized multiplicative problem (GMP) that is known to be NP-hard even with one linear product term…”
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Matchings with Lower Quotas: Algorithms and Complexity
ISSN: 0178-4617, 1432-0541Published: New York Springer US 01.01.2018Published in Algorithmica (01.01.2018)“…We study a natural generalization of the maximum weight many-to-one matching problem…”
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Algorithm for Solving Optimal Arrangement Problem in Connected- (r,s)-out-of- (m,n):F Lattice System
ISSN: 0018-9529, 1558-1721Published: New York IEEE 01.06.2020Published in IEEE transactions on reliability (01.06.2020)“… In this paper, we develop an improved algorithm for efficiently finding the optimal arrangement of general connected-(r, s)-out-of-(m, n):F lattice systems…”
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Algorithms for stochastic optimization with function or expectation constraints
ISSN: 0926-6003, 1573-2894Published: New York Springer US 01.06.2020Published in Computational optimization and applications (01.06.2020)“…), to handle problems with the constraint on devision variables. We show that this algorithm exhibits the optimal O ( 1 / ϵ 2…”
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Communication-efficient algorithms for decentralized and stochastic optimization
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2020Published in Mathematical programming (01.03.2020)“…We present a new class of decentralized first-order methods for nonsmooth and stochastic optimization problems defined over multiagent networks…”
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Improving the Kepler optimization algorithm with chaotic maps: comprehensive performance evaluation and engineering applications
ISSN: 1573-7462, 0269-2821, 1573-7462Published: Dordrecht Springer Netherlands 03.10.2024Published in The Artificial intelligence review (03.10.2024)“…The Kepler Optimisation Algorithm (KOA) is a recently proposed algorithm that is inspired…”
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Classical boson sampling algorithms with superior performance to near-term experiments
ISSN: 1745-2473, 1745-2481Published: London Nature Publishing Group UK 01.12.2017Published in Nature physics (01.12.2017)“…A classical algorithm solves the boson sampling problem for 30 bosons with standard computing hardware, suggesting that a much larger experimental effort will be needed to reach a regime where quantum…”
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Efficient maximum iterations for swarm intelligence algorithms: a comparative study
ISSN: 1573-7462, 0269-2821, 1573-7462Published: Dordrecht Springer Netherlands 08.01.2025Published in The Artificial intelligence review (08.01.2025)“…A swarm intelligence algorithm usually iterates many times to approximate the optimum to obtain the solution of a problem…”
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Polynomial-time algorithms for multimarginal optimal transport problems with structure
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2023Published in Mathematical programming (01.05.2023)“… ( n , k ) time by characterizing the structure that different algorithms require in terms of simple variants of the dual feasibility oracle…”
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Applications, classifications, and challenges: a comprehensive evaluation of recently developed metaheuristics for search and analysis
ISSN: 1573-7462, 0269-2821, 1573-7462Published: Dordrecht Springer Netherlands 23.10.2025Published in The Artificial intelligence review (23.10.2025)“…Metaheuristic algorithms (MAs) are powerful tools for solving complex optimization problems across diverse domains…”
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An Analysis of the Computational Complexity and Efficiency of Various Algorithms for Solving a Nonlinear Model of Radon Volumetric Activity with a Fractional Derivative of a Variable Order
ISSN: 2079-3197, 2079-3197Published: Basel MDPI AG 01.11.2025Published in Computation (01.11.2025)“…The article presents a study of the computational complexity and efficiency of various parallel algorithms that implement the numerical solution of the equation in the hereditary α…”
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Worst Case and Probabilistic Analysis of the 2-Opt Algorithm for the TSP
ISSN: 0178-4617, 1432-0541Published: Boston Springer US 01.01.2014Published in Algorithmica (01.01.2014)“… Previous probabilistic analyses were restricted to instances in which n points are placed uniformly at random in the unit square [0,1…”
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Efficient algorithms for robust and stable principal component pursuit problems
ISSN: 0926-6003, 1573-2894Published: Boston Springer US 01.05.2014Published in Computational optimization and applications (01.05.2014)“…) problem is solved to recover the low-rank matrix. In this paper, we develop efficient algorithms with provable iteration complexity bounds for solving RPCP and SPCP…”
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Stochastic variance-reduced prox-linear algorithms for nonconvex composite optimization
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2022Published in Mathematical programming (01.09.2022)“… We propose a class of stochastic variance-reduced prox-linear algorithms for solving such problems and bound their sample complexities for finding an ϵ…”
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