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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Submodular Functions: Extensions, Distributions, and Algorithms
子模块函数 扩展 分布 算法
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2023/5/8
Submodularity is a fundamental phenomenon in combinatorial optimization. Submodular functions occur in a variety of combinatorial settings such as coverage problems, cut problems, welfare maximization...
Extensions of Gauss quadrature via linear programming
Gauss quadrature Semi-infi nite programming Convex optimization
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2015/8/7
Gauss quadrature is a well known method for estimating the integral of a continuous function with respect to a given measure as a weighted sum of the function evaluated at a set of node points. Gauss ...
Natural extensions and entropy of $\alpha$-continued fractions
Natural extensions entropy
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2010/11/23
We construct a natural extension for each of Nakada's $\alpha$-continued fractions and show the continuity as a function of $\alpha$ of both the entropy and the measure of the natural extension domai...