Parameterised complexity analysis of evolutionary algorithms for combinatorial optimization problems [PDF]
Evolutionary algorithms are general problem solvers that have been successfully used in solving combinatorial optimization problems. However, due to the great amount of randomness in these algorithms, theoretical understanding of them is quite ...
Pourhassan, Mojgan
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Convergence and Complexity Analysis of a Levenberg–Marquardt Algorithm for Inverse Problems [PDF]
The Levenberg-Marquardt algorithm is one of the most popular algorithms for finding the solution of nonlinear least squares problems. Across different modified variations of the basic procedure, the algorithm enjoys global convergence, a competitive worst case iteration complexity rate, and a guaranteed rate of local convergence for both zero and ...
El Houcine Bergou +2 more
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EEG-based real-time diagnostic system with developed dynamic 2TEMD and dynamic ApEn algorithms
In real-time electroencephalography (EEG) analysis, the problem of observing dynamic changes and the problem of binary classification is a promising direction. EEG energy and complexity are important evaluation metrics in brain death determination in the
Ran Zhang +5 more
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Optimal recombination in genetic algorithms for combinatorial optimization problems: Part II [PDF]
This paper surveys results on complexity of the optimal recombination problem (ORP), which consists in finding the best possible offspring as a result of a recombination operator in a genetic algorithm, given two parent solutions. In Part II, we
Eremeev Anton V., Kovalenko Julia V.
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A deterministic algorithm for the discrete logarithm problem in a semigroup
The discrete logarithm problem (DLP) in a finite group is the basis for many protocols in cryptography. The best general algorithms which solve this problem have a time complexity of O(NlogN)O\left(\sqrt{N}\log N) and a space complexity of O(N)O\left ...
Tinani Simran, Rosenthal Joachim
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Improved complexity bounds in Wasserstein barycenter problem [PDF]
In this paper, we focus on computational aspects of the Wasserstein barycenter problem. We propose two algorithms to compute Wasserstein barycenters of m discrete measures of size n with accuracy $\e$.
Dvinskikh, Darina, Tiapkin, Daniil
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Time complexity analysis of evolutionary algorithms for 2-hop (1,2)-minimum spanning tree problem [PDF]
The Minimum Spanning Tree problem (abbr. MSTP) is a well-known combinatorial optimization problem that has been extensively studied by the researchers in the field of evolutionary computing to theoretically analyze the optimization performance of evolutionary algorithms.
Feng Shi 0003 +2 more
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On the Descriptive Complexity of Color Coding
Color coding is an algorithmic technique used in parameterized complexity theory to detect “small” structures inside graphs. The idea is to derandomize algorithms that first randomly color a graph and then search for an easily-detectable, small color ...
Max Bannach, Till Tantau
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On a Nonsmooth Gauss–Newton Algorithms for Solving Nonlinear Complementarity Problems [PDF]
In this paper, we propose a new version of the generalized damped Gauss–Newton method for solving nonlinear complementarity problems based on the transformation to the nonsmooth equation, which is equivalent to some unconstrained optimization problem ...
Marek J. Śmietański +1 more
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Low-Complexity Multi-User Detection Based on Gradient Information for Uplink Grant-Free NOMA
Massive machine type communication (mMTC) serves an irreplaceable role in the development process of the Internet of Things (IoT). Because of its characteristics of massive connection and sporadic transmission, compressed sensing (CS) has been applied in
Fang Jiang +4 more
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