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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On convergence and complexity analysis of an accelerated forward–backward algorithm with linesearch technique for convex minimization problems and applications to data prediction and classification [PDF]
AbstractIn this work, we introduce a new accelerated algorithm using a linesearch technique for solving convex minimization problems in the form of a summation of two lower semicontinuous convex functions. A weak convergence of the proposed algorithm is given without assuming the Lipschitz continuity on the gradient of the objective function. Moreover,
Panitarn Sarnmeta +3 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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Volumetric Barrier Cutting Plane Algorithms for Stochastic Linear Semi-Infinite Optimization
In this paper, we study the two-stage stochastic linear semi-infinite programming with recourse to handle uncertainty in data defining (deterministic) linear semi-infinite programming.
Baha Alzalg, Asma Gafour, Lewa Alzaleq
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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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On Characterizing the Data Access Complexity of Programs [PDF]
Technology trends will cause data movement to account for the majority of energy expenditure and execution time on emerging computers. Therefore, computational complexity will no longer be a sufficient metric for comparing algorithms, and a fundamental ...
Bilardi G. +5 more
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On the Average-case Complexity of Parameterized Clique [PDF]
The k-Clique problem is a fundamental combinatorial problem that plays a prominent role in classical as well as in parameterized complexity theory. It is among the most well-known NP-complete and W[1]-complete problems.
Bollobás +22 more
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Worst-Case Optimal Algorithms for Parallel Query Processing [PDF]
In this paper, we study the communication complexity for the problem of computing a conjunctive query on a large database in a parallel setting with $p$ servers.
Beame, Paul +2 more
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