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Variable Neighborhood Programming as a Tool of Machine Learning
Automatic programming is an efficient technique that has contributed to an important development in the artificial intelligence and machine learning...
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Relative version of star-Hurewicz property
We study preservation properties of relatively star-Hurewicz property under two map**s and in Alexandroff space. For a topological space X , the...
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Nonlinear Schemes: Clustering, Feature Extraction and Dimension Reduction
Often data seem to sit in some high-dimensional space, because of the way they are recorded and presented. But intrinsically, they may be...
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Pushed-to-Pulled Front Transitions: Continuation, Speed Scalings, and Hidden Monotonicty
We analyze the transition between pulled and pushed fronts both analytically and numerically from a model-independent perspective. Based on minimal...
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A Zoo of Dualities
In this note we study order reversing quasi involutions and their properties. These maps are dualities (order reversing involutions) on their image....
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Non-reversible metastable diffusions with Gibbs invariant measure I: Eyring–Kramers formula
In this article, we prove the Eyring–Kramers formula for non-reversible metastable diffusion processes that have a Gibbs invariant measure. Our...
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Four Billion Years: The Story of an Ancient Protein Family
Comparison of protein sequences has long been a very effective tool for producing biological knowledge. It was initially based on the alignment of...
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New Concepts on Quadripartitioned Neutrosophic Competition Graph with Application
The quadripartitioned neutrosophic set is defined by dividing the indeterminacy function of the neutrosophic set into the contradiction and ignorance...
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Exploring dynamics of plant–herbivore interactions: bifurcation analysis and chaos control with Holling type-II functional response
In this study, we examine the plant–herbivore discrete model of apple twig borer and grape vine interaction, with a particular emphasis on the...
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Least action principles for incompressible flows and geodesics between shapes
As V. I. Arnold observed in the 1960s, the Euler equations of incompressible fluid flow correspond formally to geodesic equations in a group of...
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The Price Identity of Replicator(–Mutator) Dynamics on Graphs with Quantum Strategies in a Public Goods Game
Our research explores the influence of quantum strategies on the Price identity of replicator(–mutator) dynamics in networked systems. We...
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Branch-and-Model: a derivative-free global optimization algorithm
This paper presents a novel derivative-free global optimization algorithm Branch-and-Model (BAM). The BAM algorithm partitions the search domain...
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A note on homotopy extension KKM type maps
In this paper we present a variety of continuation (homotopy) theorems for general classes of maps in the literature.
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Applications
In this chapter, we study applications in approximation theory, primal-dual algorithms for solving approximation as well as locational problems and...
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Non-zero-sum Games and Nash Equilibriums: Applications to Generation Gaps Problems
This chapter critically discusses non-zero-sum games with special reference to Nash equilibrium, which is a successor of Cournot equilibrium in the...
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The Search for Cancer Drivers
During the past decade, significant technological and computational advances have provided unprecedented opportunities for gaining a better...
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Fundamentals of Fuzzy Optimization and Decision-Making Problems
The fundamental issues of classical optimization and fuzzy optimization are discussed. There is clarity about the feasible and optimal solutions for...
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Biomolecular Topology: Modelling and Analysis
With the great advancement of experimental tools, a tremendous amount of biomolecular data has been generated and accumulated in various databases....