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Representation Theory Based Algorithm to Compute Boltzmann’s Bilinear Collision Operator in the Irreducible Spectral Burnett Ansatz Efficiently
Numerically solving the Boltzmann equation is computationally expensive in part due to the number of variables the distribution function depends...
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A heuristic approximation algorithm of minimum dominating set based on rough set theory
The minimum dominating set of graph has been widely used in many fields, but its solution is NP-hard. The complexity and approximation accuracy of...
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Solving Optimization Problems with the Heuristic Kalman Algorithm New Stochastic Methods
This text focuses on simple and easy-to-use design strategies for solving complex engineering problems that arise in several fields of engineering...
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Computability Theory
Computability theory is the mathematical theory of algorithms, which explores the power and limitations of computation. Classical computability...
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Simultaneous eating algorithm and greedy algorithm in assignment problems
The simultaneous eating algorithm (SEA) and probabilistic serial (PS) mechanism are well known for allocating a set of divisible or indivisible goods...
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Category Theory and Theory of Evolution
AbstractThe genome as a program and biological evolution as a computational process are discussed from the point of view of functional programming...
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Basic Theory
This chapter develops the elementary theory of logic-based Benders decomposition (LBBD), beginning with the essential concept of inference duality....
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Congruences and Unitary Congruences in Matrix Theory
This paper is a review of basic facts related to important matrix transformations such as congruence, pseudo-similarity, and unitary congruence. We...
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Algorithm for Solving the Four-Wave Kinetic Equation in Problems of Wave Turbulence
AbstractWe propose the method for numerical solution of four-wave kinetic equations that arise in the wave turbulence (weak turbulence) theory when...
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Computability Theory
Computability theory is the mathematical theory of algorithms, which explores the power and limitations of computation. Classical computability...
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Adaptive Control Algorithm for Unstable Vertical Plasma Position in Tokamak
AbstractThe problem considered includes the development and modeling of an adaptive control algorithm for unstable vertical plasma positioning in a...
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Universal holomorphic maps with slow growth I: an algorithm
We design an Algorithm to fabricate universal holomorphic maps between any two complex Euclidean spaces, within preassigned transcendental growth...
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Algorithm Unions for Solving Discrete Optimization Problems
This paper considers algorithm unions (portfolios and teams) of optimization algorithms, their properties, and their impact on the acceleration of...
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Probability Calibration with Fuzzy Set Theory to Improve Early Cancer Detection
AbstractCancer is the leading cause of death before the age of 70 years. An important step for reducing the cancer mortality can be its early...
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A multiplicative Gauss-Newton minimization algorithm: Theory and application to exponential functions
Multiplicative calculus (MUC) measures the rate of change of function in terms of ratios, which makes the exponential functions significantly linear...
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Deep learning theory of distribution regression with CNNs
We establish a deep learning theory for distribution regression with deep convolutional neural networks (DCNNs). Deep learning based on structured...
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A generalized combinatorial marching hypercube algorithm
We present a Generalized Combinatorial Marching Hypercubes algorithm to compute a cell complex approximation of a manifold of any dimension and...
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Trilevel and multilevel optimization using monotone operator theory
We consider rather a general class of multi-level optimization problems, where a convex objective function is to be minimized subject to constraints...
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Improvement of an Incremental Signature-Based Comprehensive Gröbner System Algorithm
In this paper, we improve the GVWDisPGB algorithm for computing comprehensive Gröbner systems developed by Hashemi et al. (Comput Sci J Mold...
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A strongly convergent algorithm for solving split equality problems beyond monotonicity
In this paper, we focus on some split inverse problems, namely the split equality variational inequalities and common fixed point problems, and...
