最近在捡回之前的线性代数知识,在复习可逆矩阵的时候,发现有的书上把可逆矩阵又称为非奇异矩阵,乍一看名字完全不知所云,仔细一分析,还是不明白.要想弄明白,还是得从英文入手,下面的解释主要从这里得来的Why are invertible matrices called 'non-singular'?. 先把原回答搬过来: If you take an n×n matrix "at random" (you have to make this very precise, but it can…
本文记录阅读该论文的笔记. 本文基于阈值加法同态加密方案提出了一个新的允许\(N\)方检查其输入集的交集是否大于\(n-t\)的IPSI方案,该协议的通信复杂度为\(O(Nt^2)\). 注意:\(N\)指的是多少个参与方.\(n\)是输入集的大小.\(t\)是预先设定的阈值,也是阈值. 该方案基于The Communication Complexity of Threshold Private Set Intersection-2019:解读进行的改进. 该协议可以用于各方知道交集很大,但不知…
We Recommend a Singular Value Decomposition Introduction The topic of this article, the singular value decomposition, is one that should be a part of the standard mathematics undergraduate curriculum but all too often slips between the cracks. Beside…
原文:http://www.ams.org/samplings/feature-column/fcarc-svd Introduction The topic of this article, the singular value decomposition, is one that should be a part of the standard mathematics undergraduate curriculum but all too often slips between the c…
链接网址:Math concepts / 数学概念 – https://www.codelast.com/math-concepts-%e6%95%b0%e5%ad%a6%e6%a6%82%e5%bf%b5/ 这里记录了我在学习过程中遇到或总结的一些基础数学概念,保存于此,与需要者共享. Following are some basic math concepts I read or summarized in my learning process, I wrote them down her…
In the field of numerical analysis, the condition number of a function with respect to an argument measures how much the output value of the function can change for a small change in the input argument. This is used to measure how sensitive a functio…
前言: FISTA(A fast iterative shrinkage-thresholding algorithm)是一种快速的迭代阈值收缩算法(ISTA).FISTA和ISTA都是基于梯度下降的思想,在迭代过程中进行了更为聪明(smarter)的选择,从而达到更快的迭代速度.理论证明:FISTA和ISTA的迭代收敛速度分别为O(1/k2)和O(1/k). 本篇博文先从解决优化问题的传统方法“梯度下降”开始,然后引入ISTA,最后再上升为FISTA.文章主要参考资料如下: [1] A Fas…
http://blog.163.com/bzm_square/blog/static/9355546320129582254842/ PS: 一种有关于矩阵的思维方法.....WiKi 向量空间,不定点定理,仿射变换等数学术语请参考 Ron Goldman 计算机图形学与几何造型导论 From http://blog.csdn.net/myan/article/details/647511 线性代数课程,无论你从行列式入手还是直接从矩阵入手,从一开始就充斥着莫名其妙.比如说,在全国…
