Course Notes - 随笔分类(第2页) - miyasaka

Elements of Information Theory: Exercises

摘要：Elements of Information Theory: Exercises 2.2 Entropy of functions. Let $X$ be a random variable taking on a finite number of values. What is the (gen 阅读全文

posted @ 2022-12-16 21:44 miyasaka 阅读(99) 评论(0) 推荐(0)

Information Theory and Coding

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posted @ 2022-12-14 00:24 miyasaka 阅读(2) 评论(0) 推荐(0)

Exercises: Principles of Econometrics

摘要：SME Notes 1 Simple linear regression model $$ y_i=\beta_1+\beta_2 x_i+\epsilon_i $$ There are a number of assumptions required to formulate the simple 阅读全文

posted @ 2022-12-02 21:38 miyasaka 阅读(62) 评论(0) 推荐(0)

Notes: Principles of Econometrics

摘要：SME Note 2 This note is the note for statistical method in economics course. Made for quick check of important formulae. (poe) ASSUMPTIONS OF THE SIMP 阅读全文

posted @ 2022-12-01 20:59 miyasaka 阅读(55) 评论(0) 推荐(0)

Algorithm: Lecture 4. Divide-and-Conquer Homework

摘要：author: Miyasaka date: 2022-10-31 title: "Algorithm: Lecture 4. Divide-and-Conquer Homework" *In this work, all the index of array starts by 1. Questi 阅读全文

posted @ 2022-10-31 18:09 miyasaka 阅读(66) 评论(0) 推荐(0)

Linear Algebra and Linear Programming Notes

摘要：Linear Algebra and Linear Programming Duality Theory Primal and dual problems of LPs 如何理解？ $$ \bar{x}=\left(\begin{array}{l} x \ y \end{array}\right), 阅读全文

posted @ 2022-10-31 16:37 miyasaka 阅读(81) 评论(0) 推荐(0)

Statistics - Review

摘要：Statistic Final Review Covariance Definition 4.2. The covariance of $X$ and $Y$ is $$ \operatorname{Cov}(X, Y)=\mathbb{E}(X Y)-\mathbb{E} X \cdot \mat 阅读全文

posted @ 2022-10-31 16:29 miyasaka 阅读(60) 评论(0) 推荐(0)

LALP Assessment 3

摘要：LALP 3rd Continuous Assessment Q1 Suppose it makes $x$ product A and $y$ product B. Then the LP problem is: $$ \text{Maximize}\quad 2.4 x+2.6 y, \ \le 阅读全文

posted @ 2022-03-07 13:24 miyasaka 阅读(68) 评论(0) 推荐(0)

Multivariable Analysis Notes

摘要：Multivariable Analysis Clairaut’s theorem Suppose that two mixed $n$-th ordered partial derivatives of a function involve the same differentiations, b 阅读全文

posted @ 2022-03-07 13:22 miyasaka 阅读(98) 评论(0) 推荐(0)

Simplex Method: Example (LALP exercise 4)

摘要：Question Consider the following linear programming problem $$ \begin{aligned} \begin{array}{ll} \text { Minimise } & -x_{1}-2 x_{2}-x_{3} \ \text { su 阅读全文

posted @ 2022-03-07 13:20 miyasaka 阅读(71) 评论(0) 推荐(0)

MVA Exercise 1

摘要：Exercise $\mathbf{1}$ Question Consider the following statement. Let $g: \mathbb{R} \rightarrow \mathbb{R}$ denote the function given, for $x \in \mat 阅读全文

posted @ 2022-03-07 13:19 miyasaka 阅读(65) 评论(0) 推荐(0)

Digital Watermark Implementation

摘要：Digital Watermarking Implementation Based on DWT, HD, and Singular Value Decomposition (MATLAB) Introduction Digital watermarking refers to embedding 阅读全文

posted @ 2022-03-07 13:16 miyasaka 阅读(97) 评论(0) 推荐(0)

Algorithms about eigenvalues

摘要：Implement Matlab functions which can compute the corresponding eigenpair(s) via: (a) Power iteration. (b) Inverse iteration. (c) Rayleign Quotient ite 阅读全文

posted @ 2022-03-07 13:15 miyasaka 阅读(57) 评论(0) 推荐(0)

LU Decomposition, Cholesky Fatorization, MATLAB

摘要：1. Implement Matlab functions which can compute the following factorizations of a given matrix: (1) LU without pivoting (2) LU with partial pivoting ( 阅读全文

posted @ 2022-03-07 13:13 miyasaka 阅读(73) 评论(0) 推荐(0)

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随笔分类 - Course Notes

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