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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Selected Multicriteria Shortest Path Problems: An Analysis of Complexity, Models and Adaptation of Standard Algorithms [PDF]
Selected Multicriteria Shortest Path Problems: An Analysis of Complexity, Models and Adaptation of Standard AlgorithmsThe paper presents selected multicriteria (multiobjective) approaches to shortest path problems. A classification of multi-objective shortest path (MOSP) problems is given.
Zbigniew Tarapata
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Lithuanian Olympiads in Informatics are being organized since 1990. Each Olympiad consists of three rounds. The final (national) one is divided into two parts, there are also elder and younger divisions. Each year there are supplied a lot of tasks. The paper deals with algorithmic problems of all the Lithuanian olympiads of school students and all the ...
Valentina Dagienė, Jūratė Skūpienė
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The knapsack problem is an optimization problem in computer science which involves determining the most valuable combination of items that can be packed into a knapsack (a container) with a limited capacity (weight or volume); the goal is to maximize the total profit of the items included in the knapsack without exceeding its capacity.
Bin Usman, Bashar Bin +4 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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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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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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