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• 08:23, 25 November 2024 Zhangyiyao talk contribs created page 高级算法 (Fall 2024)/第二次作业提交名单 (Created page with " 如有错漏请邮件联系助教. <center> {| class="wikitable" |- ! 学号 !! 姓名 |- | 211220076 || 杨景越 |- | 211220152 || 吴振宇 |- | 211250001 || 鞠哲 |- | 211250044 || 朱家辰 |- | 211250182 || 胡皓明 |- | 211502020 || 周相羽 |- | 211820202 || 彭钰朝 |- | 211830008 || 缪天顺 |- | 221220002 || 沈均文 |- | 221502010 || 梁志浩 |- | 221840186 || 陈端锐 |- | 221840188 || 谭泽晖 |- | 502023330043 || 吕铸恒 |- | 50202...") Tag: Visual edit: Switched
• 04:18, 22 November 2024 Liumingmou talk contribs uploaded a new version of File:数据科学基础 (Fall 2024) Convergence-compressed.pdf
• 04:15, 22 November 2024 Liumingmou talk contribs created page 数据科学基础 (Fall 2024)/Entropy and volume of Hamming balls (Created page with "在求解抛掷公平硬币（fair coin）的尾概率时，我们经常会需要分析如下二项式系数求和： :<math>\sum_{k=0}^r{n\choose k}</math>，对于某个<math>1\le r\le n</math> 这其实等价与求一个 <math>n</math> 维汉明空间中半径为 <math>r</math> 的球的体积。 :{|border="2" width="100%" cellspacing="4" cellpadding="3" rules="all" style="margin:1em 1em 1em 0; border:solid 1px #AAAAAA; border-collapse:collapse;empty-cells:show;" | :'...")
• 04:15, 22 November 2024 Liumingmou talk contribs created page 数据科学基础 (Fall 2024)/Hoeffding's lemma (Created page with "霍夫丁引理（Hoeffding's lemma）在霍夫丁不等式（[https://en.wikipedia.org/wiki/Hoeffding%27s_inequality Hoeffding's inequality]）的证明中，扮演着关键角色。该引理陈述如下： {{Theorem|霍夫丁引理| :若随机变量 <math>Y</math> 满足 <math>\mathbb{E}[Y]=0</math> 且存在实数 <math>a,b\in\mathbb{R}</math> 使得几乎必然地 (a.s.) <math>a\le Y\le b</math>，则对于任意 <math>\lambda\in\mathbb{R}</math>，都有 ::<math>\ma...")
• 04:13, 22 November 2024 Liumingmou talk contribs created page File:数据科学基础 (Fall 2024) Concentration.pdf
• 04:13, 22 November 2024 Liumingmou talk contribs uploaded File:数据科学基础 (Fall 2024) Concentration.pdf
• 12:56, 18 November 2024 Liumingmou talk contribs created page 数据科学基础 (Fall 2024)/第四次作业提交名单 (Created page with "<center> {| class="wikitable" |- ! 学号 |- | 221850088 |- | 221850088 |- | 221870109 |- | 221900009 |- | 221900024 |- | 221900028 |- | 221900029 |- | 221900029 |- | 221900036 |- | 221900038 |- | 221900038 |- | 221900042 |- | 221900046 |- | 221900055 |- | 221900068 |- | 221900073 |- | 221900075 |- | 221900083 |- | 221900084 |- | 221900085 |- | 221900091 |- | 221900124 |- | 221900128 |- | 221900140 |- | 221900159 |- | 221900159 |- | 221900168 |- | 221900183 |- | 2219002...")
• 08:31, 15 November 2024 Liumingmou talk contribs created page File:数据科学基础 (Fall 2024) Convergence-compressed.pdf
• 08:31, 15 November 2024 Liumingmou talk contribs uploaded File:数据科学基础 (Fall 2024) Convergence-compressed.pdf
• 13:41, 13 November 2024 Liumingmou talk contribs created page 数据科学基础 (Fall 2024)/Problem Set 5 (Created page with "*每道题目的解答都要有完整的解题过程，中英文不限。 *我们推荐大家使用LaTeX, markdown等对作业进行排版。 *没有条件的同学可以用纸笔完成作业之后拍照。 == Assumption throughout Problem Set 5 == <p>Without further notice, we are working on probability space <math>(\Omega,\mathcal{F},\Pr)</math>.</p> <p>Without further notice, we assume that the expectation of random variables are well-defined.</p> == Problems (...")
• 14:38, 10 November 2024 Etone talk contribs created page Assignment 3, Fall 2024 (Created page with "Held-Hou(1980) 讨论了当外部强迫的经向分布呈二次勒让德多项式，即<math>\dfrac{\Theta_E(\phi,z)}{\Theta_o}=1-\dfrac{2}{3}\Delta_H P_2(\sin \phi)+\Delta_v(\dfrac{z}{H}-\dfrac{1}{2})</math>的情况下，哈德莱环流内的风场、温度场、环流的空间范围等将怎样随纬度和外力强迫的强度而变化。 如果将外力强迫的空间分布改为<math>\dfrac{\Theta_E(\phi,z)}{\Theta_o}=1-\Delta_H(\sin^3 \phi - \dfrac{1}{4})+\Delta_v...")
• 02:40, 9 November 2024 Zhangyiyao talk contribs created page 高级算法 (Fall 2024)/Problem Set 2 (Created page with "*每道题目的解答都要有完整的解题过程，中英文不限。 *我们推荐大家使用LaTeX, markdown等对作业进行排版。 == Problem 1 == '''(a.)''' Let <math> M_1 = (E_1, \mathcal{I}_1) </math> and <math> M_2 = (E_2, \mathcal{I}_2) </math> be two matroids with <math> E_1 \cap E_2 = \emptyset </math>. Define <math> \mathcal{I}_1 \oplus \mathcal{I}_2 = \{ A_1 \cup A_2 : A_1 \in \mathcal{I}_1, A_2 \in \mathcal{I}_2 \} </math>. Prove that <math> M := (...")
• 05:25, 4 November 2024 Liumingmou talk contribs created page 数据科学基础 (Fall 2024)/第三次作业提交名单 (Created page with "<center> {| class="wikitable" |- ! 学号 |- | 221850088 |- | 221870109 |- | 221900009 |- | 221900009 |- | 221900028 |- | 221900029 |- | 221900036 |- | 221900038 |- | 221900042 |- | 221900046 |- | 221900055 |- | 221900068 |- | 221900073 |- | 221900075 |- | 221900083 |- | 221900084 |- | 221900085 |- | 221900091 |- | 221900124 |- | 221900128 |- | 221900140 |- | 221900159 |- | 221900168 |- | 221900183 |- | 221900187 |- | 221900208 |- | 221900209 |- | 221900210 |- | 2219002...")
• 14:12, 1 November 2024 Liumingmou talk contribs created page File:数据科学基础 (Fall 2024) Continuous.pdf
• 14:12, 1 November 2024 Liumingmou talk contribs uploaded File:数据科学基础 (Fall 2024) Continuous.pdf