Search Results - Analysis of Algorithms and Problem Complexity General Terms
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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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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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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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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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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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Quantum Hamiltonian complexity in thermal equilibrium
ISSN: 1745-2473, 1745-2481Published: London Nature Publishing Group UK 01.11.2022Published in Nature physics (01.11.2022)“… Our algorithm contributes to a body of work investigating the hardness of approximation for difficult optimization problems…”
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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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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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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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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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Complexity of an inexact proximal-point penalty method for constrained smooth non-convex optimization
ISSN: 0926-6003, 1573-2894Published: New York Springer US 01.05.2022Published in Computational optimization and applications (01.05.2022)“…In this paper, an inexact proximal-point penalty method is studied for constrained optimization problems, where the objective function is non-convex, and the constraint functions can also be non-convex…”
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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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An analysis of the parameterized complexity of periodic timetabling
ISSN: 1099-1425, 1094-6136, 1099-1425Published: New York, NY Springer US 01.04.2022Published in Journal of scheduling (01.04.2022)“…Public transportation networks are typically operated with a periodic timetable. The periodic event scheduling problem (PESP…”
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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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Trade-Offs in Dynamic Coloring for Bipartite and General Graphs
ISSN: 0178-4617, 1432-0541Published: New York Springer US 01.04.2023Published in Algorithmica (01.04.2023)“…The dynamic coloring problem has gained attention in the recent past. The focus has largely been on obtaining efficient update time algorithms using Δ…”
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