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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Signature-based standard basis algorithm under the framework of GVW algorithm
GVW算法框架 基于签名 标准基算法
2023/11/29
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：An algebraic framework for geometrically continuous splines
几何 连续样条 代数框架
2023/11/6
Geometrically continuous splines are piecewise polynomials defined on a collection of patches stitched together through transition maps. In this talk, we introduce an algebraic framework to study geom...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A New Framework for SIMD Bootstrapping in Polynomial Modulus
多项式 模数 SIMD自举 新框架
2023/4/28
In this series of work, we aim at improving the bootstrapping paradigm for fully homomorphic encryption (FHE). Our main goal is to show that the amortized cost of bootstrapping within a polynomial mod...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A cooperative repair framework for RS Codes
RS代码 协作修复 框架 分布式存储系统
2023/4/21
Reed-Solomon (RS) codes are widely used in distributed storage systems, such as HDFS, Google File System II, etc. Generally, a data file is encoded into an RS codeword and stored in n storage nodes wi...