All public logs

Combined display of all available logs of TCS Wiki. You can narrow down the view by selecting a log type, the username (case-sensitive), or the affected page (also case-sensitive).

18:20, 25 October 2024 Liumingmou talk contribs created page 数据科学基础 (Fall 2024)/第二次作业提交名单 (Created page with "<center> {| class="wikitable" |- ! 学号 |- | 221850088 |- | 221870109 |- | 221900009 |- | 221900024 |- | 221900028 |- | 221900029 |- | 221900036 |- | 221900038 |- | 221900042 |- | 221900046 |- | 221900055 |- | 221900068 |- | 221900073 |- | 221900075 |- | 221900076 |- | 221900083 |- | 221900084 |- | 221900085 |- | 221900091 |- | 221900124 |- | 221900128 |- | 221900140 |- | 221900159 |- | 221900168 |- | 221900175 |- | 221900183 |- | 221900187 |- | 221900208 |- | 2219002...")
14:15, 23 October 2024 Liumingmou talk contribs created page 数据科学基础 (Fall 2024)/Problem Set 4 (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 4 == Without further notice, we are working on probability space <math>(\Omega,\mathcal{F},\Pr)</math>. Without further notice, we assume that the expectation of random variables are well-defined. == Problem 1...")
13:56, 23 October 2024 Liumingmou talk contribs uploaded a new version of File:数据科学基础 (Fall 2024) Deviation-compressed.pdf
23:58, 21 October 2024 Etone talk contribs created page Namelist Assignment 1 2024 (Created page with "姓名学号刘屹恒 211830104 袁世伟 211830113 刘倚帆 211830136 孙哲至 211840029 胡冰雁 211840036 罗常 211840226 陈晨 211840233 王道熙 211840324 鲍饴欣 502024280001 曹士豪 502024280003 冯亮 502024280007 顾也楠 502024280013 何鑫 502024280015 郎乐怡 502024280018 李子琦 502024280021 刘子辰 502024280024 潘玉洁 502024280028 宋辰 502024280030 唐永平 502024280032 王俊昌 502024280035...")
01:10, 21 October 2024 Etone talk contribs created page Assignment 2, Fall 2024 (Created page with "请在题目一和题目二中任选一题作为本章的作业题目。另外的一题可作为选做题。 ==Question 1== 假设在大气层顶（TOA），在多年全年平均的情况下，入射的太阳辐射随纬度的分布满足 <math>\begin{align} Q&=Q_o \cdot s(x), \\ s(x)&=s_o \cdot P_o(x)+ s_2 \cdot P_2(x), \end{align}</math> 其中，<math>P_o(x)=1</math>, <math>P_2(x)=\frac{1}{2}(3x^2-1)</math>, <math>s_o=1</math>, <...")
12:57, 18 October 2024 Liumingmou talk contribs created page File:数据科学基础 (Fall 2024) Deviation-compressed.pdf
12:57, 18 October 2024 Liumingmou talk contribs uploaded File:数据科学基础 (Fall 2024) Deviation-compressed.pdf
11:09, 17 October 2024 Liumingmou talk contribs created page 数据科学基础 (Fall 2024)/Problem Set 3 (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 3 == Without further notice, we are working on probability space <math>(\Omega,\mathcal{F},\mathbf{Pr})</math>. Without further notice, we assume that the expectation of random variables are well-defined. == Pr...")
02:16, 15 October 2024 User account Zhoucan talk contribs was created by Etone talk contribs
08:27, 14 October 2024 Zhangyiyao talk contribs created page 高级算法 (Fall 2024)/第一次作业提交名单 (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 |- | 211820282 || 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 |- | 502024...")
19:04, 11 October 2024 Liumingmou talk contribs created page 数据科学基础 (Fall 2024)/第一次作业提交名单 (Created page with "<center> {| class="wikitable" |- ! 学号 |- | 231880099 |- | 221900009 |- | 231880087 |- | 231880426 |- | 221900075 |- | 221900324 |- | 231880433 |- | 221900426 |- | 221900068 |- | 221900328 |- | 221900230 |- | 231880367 |- | 221900091 |- | 221900036 |- | 221900320 |- | 221900323 |- | 221900450 |- | 231880199 |- | 221900085 |- | 221900455 |- | 231880410 |- | 221900042 |- | 221900311 |- | 221900309 |- | 221900325 |- | 221900263 |- | 231880185 |- | 231880292 |- | 2318802...")
12:28, 11 October 2024 Liumingmou talk contribs created page File:数据科学基础 (Fall 2024) RandVar.pdf
12:28, 11 October 2024 Liumingmou talk contribs uploaded File:数据科学基础 (Fall 2024) RandVar.pdf
11:19, 11 October 2024 Liumingmou talk contribs created page File:数据科学基础 (Fall 2024) Deviation.pdf
11:19, 11 October 2024 Liumingmou talk contribs uploaded File:数据科学基础 (Fall 2024) Deviation.pdf
11:16, 11 October 2024 Liumingmou talk contribs created page File:Deviation.pdf
11:16, 11 October 2024 Liumingmou talk contribs uploaded File:Deviation.pdf
16:55, 10 October 2024 Liumingmou talk contribs created page 数据科学基础 (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。 *没有条件的同学可以用纸笔完成作业之后拍照。 <h2 id="assumption"> Assumption throughout Problem Set 2</h2> Without further notice, we are working on probability space <math>(\Omega,\mathcal{F},\mathbf{Pr})</math>. Without further notice, we assume that the expectation of random variables are well-d...")
06:31, 30 September 2024 Etone talk contribs created page 数据科学基础 (Fall 2024)/Average-case analysis of QuickSort (Created page with "[http://en.wikipedia.org/wiki/Quicksort '''快速排序'''（'''Quicksort'''）]是由Tony Hoare发现的排序算法。该算法的伪代码描述如下（为方便起见，假设数组元素互不相同——更一般情况的分析易推广得到）： '''''QSort'''''(A): 输入A[1...n]是存有n个不同数字的数组 if n>1 then '''pivot''' = A[1]; 将A中<pivot的元素存于数组L，将A中>pivot的元素存于数组R; \\保持内部元素之...")
16:19, 29 September 2024 Etone talk contribs created page Assignment 1, Fall 2024 (Created page with "==Question #1== 请使用多年（>20年）的NCEP/NCAR月平均再分析资料，画出各季节（至少画出冬夏两季）纬向平均温度场、纬向平均纬向风场的高度－纬度剖面分布，并简述其分布特征和季节变化特征。 ==Question #2== 请使用多年（>20年）的NCEP/NCAR月平均再分析资料，画出各季节（至少画出冬夏两季）温度场、纬向风场在各高度（850、500、100 hPa，对于温度场请再画...")
16:13, 29 September 2024 Etone talk contribs created page General Circulation(Fall 2024) (Created page with "{{Infobox |name = Infobox |bodystyle = |title = 大气环流 General Circulation of the Atmosphere |titlestyle = |headerstyle = background:#ccf; |labelstyle = background:#ddf; |datastyle = |header1 =Instructor |label1 = |data1 = |header2 = |label2 = |data2 = 张洋 |header3 = |label3 = Email |data3 = yangzhang@nju.edu.cn |header4 = |label4= office |data4= 仙林大气楼 B410 |header5 = Class |label5 = |data5 = |hea...")
06:38, 27 September 2024 Kvrmnks talk contribs created page 高级算法 (Fall 2024)/Problem Set 1 (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 (Min-cut/Max-cut) == == Problem 2 (Fingerprinting) == == Problem 3 (Hashing) == == Problem 4 (Concentration of measure) == == Problem 5 (Dimension reduction) ==")
04:40, 27 September 2024 Etone talk contribs created page 高级算法 (Fall 2024)/Dimension Reduction (Created page with "= Metric Embedding= A '''metric space''' is a pair <math>(X,d)</math>, where <math>X</math> is a set and <math>d</math> is a '''metric''' (or '''distance''') on <math>X</math>, i.e., a function :<math>d:X^2\to\mathbb{R}_{\ge 0}</math> such that for any <math>x,y,z\in X</math>, the following axioms hold: # (identity of indiscernibles) <math>d(x,y)=0\Leftrightarrow x=y</math> # (symmetry) <math>d(x,y)=d(y,x)</math> # (triangle inequality) <math>d(x,z)\le d(x,y)+d(y,z)</ma...")
07:39, 22 September 2024 Etone talk contribs created page 数据科学基础 (Fall 2024)/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;" | :'...")
14:51, 19 September 2024 Liumingmou talk contribs created page 数据科学基础 (Fall 2024)/Problem Set 1 (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。 <h2 id="problem-1">Problem 1 (Probability space)</h2> <ul> <li>[De Morgan’s Laws] Let <math>\{A_i\}</math> be a collection of sets. Prove <math>\left(\bigcup_iA_i\right)^c=\bigcap_iA_i^c</math>.</li> <li>[<math>\sigma</math>-algebra] Let <math>A</math> and <math>B</math> belong to some <math>\s...")
11:32, 19 September 2024 Etone talk contribs created page 高级算法 (Fall 2024)/Conditional expectations (Created page with "= Conditional Expectations = The '''conditional expectation''' of a random variable <math>Y</math> with respect to an event <math>\mathcal{E}</math> is defined by :<math> \mathbf{E}[Y\mid \mathcal{E}]=\sum_{y}y\Pr[Y=y\mid\mathcal{E}]. </math> In particular, if the event <math>\mathcal{E}</math> is <math>X=a</math>, the conditional expectation :<math> \mathbf{E}[Y\mid X=a] </math> defines a function :<math> f(a)=\mathbf{E}[Y\mid X=a]. </math> Thus, <math>\mathbf{E}[Y\mid...")
11:31, 19 September 2024 Etone talk contribs created page 高级算法 (Fall 2024)/Concentration of measure (Created page with "=Chernoff Bound= Suppose that we have a fair coin. If we toss it once, then the outcome is completely unpredictable. But if we toss it, say for 1000 times, then the number of HEADs is very likely to be around 500. This phenomenon, as illustrated in the following figure, is called the '''concentration''' of measure. The Chernoff bound is an inequality that characterizes the concentration phenomenon for the sum of independent trials. File:Coinflip.png|border|450px|cent...")
07:54, 16 September 2024 User account Zhangyiyao talk contribs was created by Etone talk contribs
02:45, 16 September 2024 Etone talk contribs created page 高级算法 (Fall 2024)/Basic deviation inequalities (Created page with "=Markov's Inequality= One of the most natural information about a random variable is its expectation, which is the first moment of the random variable. Markov's inequality draws a tail bound for a random variable from its expectation. {{Theorem |Theorem (Markov's Inequality)| :Let <math>X</math> be a random variable assuming only nonnegative values. Then, for all <math>t>0</math>, ::<math>\begin{align} \Pr[X\ge t]\le \frac{\mathbf{E}[X]}{t}. \end{align}</math> }} {{Proo...")
02:44, 16 September 2024 Etone talk contribs created page 高级算法 (Fall 2024)/Limited independence (Created page with "= <math>k</math>-wise independence = Recall the definition of independence between events: {{Theorem |Definition (Independent events)| :Events <math>\mathcal{E}_1, \mathcal{E}_2, \ldots, \mathcal{E}_n</math> are '''mutually independent''' if, for any subset <math>I\subseteq\{1,2,\ldots,n\}</math>, ::<math>\begin{align} \Pr\left[\bigwedge_{i\in I}\mathcal{E}_i\right] &= \prod_{i\in I}\Pr[\mathcal{E}_i]. \end{align}</math> }} Similarly, we can define independence between...")
02:44, 16 September 2024 Etone talk contribs created page 高级算法 (Fall 2024)/Hashing and Sketching (Created page with "=Balls into Bins= The following is the so-called balls into bins model. Consider throwing <math>m</math> balls into <math>n</math> bins uniformly and independently at random. This is equivalent to a random mapping <math>f:[m]\to[n]</math>. Needless to say, random mapping is an important random model and may have many applications in Computer Science, e.g. hashing. We are concerned with the following three questions regarding the balls into bins model: * birthday problem...")
11:22, 12 September 2024 Etone talk contribs created page 高级算法 (Fall 2024)/Finite Field Basics (Created page with "=Field= Let <math>S</math> be a set, '''closed''' under binary operations <math>+</math> (addition) and <math>\cdot</math> (multiplication). It gives us the following algebraic structures if the corresponding set of axioms are satisfied. {|class="wikitable" !colspan="7"|Structures !Axioms !Operations |- |rowspan="9" style="background-color:#ffffcc;text-align:center;"|'''''field''''' |rowspan="8" style="background-color:#ffffcc;text-align:center;"|'''''commutative rin...")
11:21, 12 September 2024 Etone talk contribs created page 高级算法 (Fall 2024)/Fingerprinting (Created page with "= Checking Matrix Multiplication= thumb|360px|right|The evolution of time complexity <math>O(n^{\omega})</math> for matrix multiplication. Let <math>\mathbb{F}</math> be a feild (you may think of it as the filed <math>\mathbb{Q}</math> of rational numbers, or the finite field <math>\mathbb{Z}_p</math> of integers modulo prime <math>p</math>). We suppose that each field operation (addition, subtraction, multiplication, division) has u...")
23:02, 28 August 2024 Liumingmou talk contribs created page 数据科学基础 (Fall 2024) (Created page with "{{Infobox |name = Infobox |bodystyle = |title = '''数据科学基础''' Foundations of Data Science |titlestyle = |image = |imagestyle = |caption = |captionstyle = |headerstyle = background:#ccf; |labelstyle = background:#ddf; |datastyle = |header1 =Instructor |label1 = |data1 = |header2 = |label2 = |data2 = '''尹一通''' |header3 = |label3 = Email |data3 = yinyt@nju.edu.cn |header4 = |l...")
23:00, 28 August 2024 Liumingmou talk contribs created page File:Foundations of Data Science.jpg
23:00, 28 August 2024 Liumingmou talk contribs uploaded File:Foundations of Data Science.jpg
12:14, 28 August 2024 User account Liumingmou talk contribs was created by Etone talk contribs
05:24, 28 August 2024 Etone talk contribs created page 高级算法 (Fall 2024)/Probability Basics (Created page with "=Probability Space= The axiom foundation of probability theory is laid by [http://en.wikipedia.org/wiki/Andrey_Kolmogorov Kolmogorov], one of the greatest mathematician of the 20th century, who advanced various very different fields of mathematics. {{Theorem|Definition (Probability Space)| A '''probability space''' is a triple <math>(\Omega,\Sigma,\Pr)</math>. *<math>\Omega</math> is a set, called the '''sample space'''. *<math>\Sigma\subseteq 2^{\Omega}</math> is the...")
05:24, 28 August 2024 Etone talk contribs created page 高级算法 (Fall 2024)/Min Cut, Max Cut, and Spectral Cut (Created page with "= Graph Cut = Let <math>G(V, E)</math> be an undirected graph. A subset <math>C\subseteq E</math> of edges is a '''cut''' of graph <math>G</math> if <math>G</math> becomes ''disconnected'' after deleting all edges in <math>C</math>. Let <math>\{S,T\}</math> be a '''bipartition''' of <math>V</math> into nonempty subsets <math>S,T\subseteq V</math>, where <math>S\cap T=\emptyset</math> and <math>S\cup T=V</math>. A cut <math>C</math> is specified by this bipartition as...")
05:23, 28 August 2024 Etone talk contribs created page 高级算法 (Fall 2024) / Course materials (Created page with "= Course textbooks = {|border="2" cellspacing="4" cellpadding="3" rules="all" style="margin:1em 1em 1em 0; border:solid 1px #AAAAAA; border-collapse:collapse;empty-cells:show;" |border|100px |width="100%"| :Rajeev Motwani and Prabhakar Raghavan. :'''''Randomized Algorithms'''''. :Cambridge University Press, 1995. |- |border|100px|| : Vijay Vazirani. :'''''Approximation Algorithms'''''. :S...")
05:22, 28 August 2024 Etone talk contribs created page 高级算法 (Fall 2024) (Created page with "{{Infobox |name = Infobox |bodystyle = |title = 高级算法 Advanced Algorithms |titlestyle = |image = |imagestyle = |caption = |captionstyle = |headerstyle = background:#ccf; |labelstyle = background:#ddf; |datastyle = |header1 =Instructor |label1 = |data1 = |header2 = |label2 = |data2 = '''尹一通''' |header3 = |label3 = Email |data3 = yinyt@nju.edu.cn |header4 = |label4= office...")
08:11, 17 June 2024 Roundgod talk contribs created page 组合数学 (Spring 2024)/第四次作业提交名单 (Created page with "如有错漏请邮件联系助教. <center> {| class="wikitable" |- ! 学号 !! 姓名 |- | 201220011 || 章振辉 |- | 201220094 || 肖依博 |- | 201220179 || 阎子扬 |- | 201502003 || 丁显浓 |- | 201840009 || 田永上 |- | 201840058 || 蒋潇鹏 |- | 201840281 || 史成璐 |- | 211098220 || 付博 |- | 211220104 || 崔乐天 |- | 211220151 || 吴羽 |- | 211240012 || 陈宇宁 |- | 211240046 || 吴奕胜 |- | 211240066 || 肖雨辰 |- | 211240073 ||...")
10:03, 12 June 2024 Liuexp talk contribs deleted page File:计算方法15-2024.pdf (Deleted old revision 20240612100329!计算方法15-2024.pdf: Duplicated file: content was: "Strong duality, course review", and the only contributor was "Liuexp" (talk))
10:03, 12 June 2024 Liuexp talk contribs uploaded a new version of File:计算方法15-2024.pdf
05:53, 12 June 2024 Zouzongrui talk contribs created page 概率论与数理统计 (Spring 2024)/第四次作业提交名单 (Created page with "如有错漏邮件请联系助教. <center> {| class="wikitable" |- ! 学号 !! 姓名 |- | 221240092 || 杨煜申 |- | 201850065 || 严以恒 |- | 211240020 || 朱睿骐 |- | 221240035 || 李想 |- | 221240009 || 冯雨桐 |- | 221240068 || 周凡淇 |- | 221240007 || 郭宇轩 |- | 221240027 || 唐诗博 |- | 221098038 || 张浩淼 |- | 221240093 || 陈力峥 |- | 221240066 || 张植翔 |- | 201240090 || 陈诺星 |- | 221240065 || 何俊渊 |- | 221180115...")
05:21, 12 June 2024 Liuexp talk contribs created page File:计算方法15-2024.pdf
05:21, 12 June 2024 Liuexp talk contribs uploaded File:计算方法15-2024.pdf
04:33, 12 June 2024 Liuexp talk contribs deleted page File:Stat01-2024.pdf (Deleted old revision 20240612043341!Stat01-2024.pdf: Duplicated file: content was: "Point estimation", and the only contributor was "Liuexp" (talk))
04:33, 12 June 2024 Liuexp talk contribs uploaded a new version of File:Stat01-2024.pdf
04:33, 12 June 2024 Liuexp talk contribs deleted page File:Stat02-2024.pdf (Deleted old revision 20240612043256!Stat02-2024.pdf: Duplicated file: content was: "Hypothesis testing", and the only contributor was "Liuexp" (talk))

All public logs

Navigation menu

Search