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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On strongly quasiconvex functions: existence results and proximal point algorithms
强准孔函数 存在结果 近端点算法
2023/5/4
The class of strongly quasiconvex functions was introduced in the famous paper of B.T. Polyak in 1966. It is the natural extension of the class of strongly convex functions, its applications emcompass...
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
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...
Proximal algorithms
Proximal algorithm optimization algorithm the standard tools smooth moderate scale high dimensional data set
2015/8/7
This monograph is about a class of optimization algorithms called proximal algorithms. Much like Newton's method is a standard tool for solving unconstrained smooth optimization problems of modest siz...
FAST DIRECTIONAL MULTILEVEL ALGORITHMS FOR OSCILLATORY KERNELS
N-body problems scattering problems Helmholtz equation oscillatory kernels fast multipole methods separated representations random sampling operator compression multidirectional computation multiscale methods
2015/7/14
This paper introduces a new directional multilevel algorithm for solving N-body orN-point problems with highly oscillatory kernels. These systems often result from the boundary integral formulations o...
Characteristic Set Algorithms for Equation Solving in Finite Fields and Applications in Cryptanalysis
Characteristic set finite field proper triangular set regular triangular set Boolean function stream cipher
2013/9/9
Efficient characteristic set methods for computing solutions of polynomial equation systems in a finite field are proposed. The concept of proper triangular sets is introduced and an explicit formula ...