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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The Proper Basis for Zero-dimensional Polynomial Ideals
零维 多项式理想 正确基 Grobner基
2023/11/23
The Grobner basis for a zero-dimensional polynomial ideal comprises a univariate polynomial in the least variable. The elimination process in Buchberger's algorithm unnecessarily involves the least va...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global and Local Convergence-Rate Analysis of an Inexact Newton Augmented Lagrangian Method for Zero-One Composite Optimization
零一复合优化 不精确 牛顿增强拉格朗日方法 收敛率分析
2023/3/24
Zero-One Composite Optimization (0/1-COP) is a prototype of nonsmooth, non- convex optimization problems and it has attracted much attention recently. Augmented Lagrangian Method (ALM) has stood out a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Towards a zero-one law for improvements to Dirichlet's approximation theorem
Dirichlet近似定理 改进 零一定律
2022/11/17
In this talk we discuss a notion of $\psi$-Dirichlet in Diophantine approximation which concerns improving Dirichlet’s approximation theorem to a general approximating function $\psi$. This notion was...
Zero Knowledge Authentication Protocols With Algebraic Geometry Techniques
zero knowledge procedures graph isomorphism problem multivariate polynomial system
2016/7/29
Several cryptographic methods have been developed based on the difficulty to determine the set
of solutions of a polynomial system over a given field. We build a polynomial ideal whose algebraic
set...
FHPKE with Zero Norm Noises based on DLA&CDH
fully homomorphic public-key encryption discrete logarithm assimption computational Diffie–Hellman assumption
2016/7/29
In this paper I propose the fully homomorphic public-key encryption(FHPKE) scheme with zero norm noises that is based on the discrete logarithm assumption(DLA) and computational Diffie–Hellman assumpt...