Expected Value of Minimum of $n$ i.i.d. Uniform Random Variable
Given $n$ independent random variables from $\mathcal{U}(0,1)$, what is the expected value of minimum, second minimum, …, maximum of them?
Protected: Paper List: Differential Privacy
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Frequently-used Mathematica Build-in Functions
本文主要记录一下在使用 Mathematica 过程中常用的 build-in functions.
Optimization: Dual Problem and Karush-Kuhn-Tucker Conditions
介绍 Convex Optimization 中的 Dual Problem 和 Karush-Kuhn-Tucker Conditions
How This Blog Was Built
我是如何搭建这个博客的。
Prediction on ICPC WF 2023 Teams from Asia East
今年 HKU 能出线吗？
Composition Theorem for Differential Privacy
本文主要记录 Differential Privacy 中的 Composition Theorem (naive composition & advanced composition) 及其证明。本文主要参考自 Aaron Roth 的课件。
Interchanging a limit or a derivative with an integral
本文主要讨论 积分与极限 / 积分与求导 交换顺序。
Monetone Convergence Theorem, Fatou’s Lemma, Dominated Convergence Theorem
本文主要介绍实分析中关于可测函数积分的三大定理：Monetone Convergence Theorem, Fatou’s Lemma, Dominated Convergence Theorem