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所在平台: Udemy |
课程主页: https://www.udemy.com/course/optimal-prefix-codes-in-discrete-mathematicsbinary-tree/
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课程名称：AI的最优前缀码和抽样理论基础 课程概述：本课程是针对最优前缀码的入门指南，旨在回答有关前缀码的基础问题。授课教师Suman Mathews是一位拥有三十年数学教学经验的教育者。 最优前缀码：我们将讨论由0和1组成的二进制序列，这些序列作为通过特定通道发送的信息代码。但如何正确解码这些序列呢？前缀码的特点在于，某个代码中的任何序列都不会是其他序列的前缀。本课程中，前缀码通过二叉树进行表示。向左子节点的边标记为0，而向右子节点的边标记为1。此外，课程还将解释父节点和子节点的概念，深受学生们喜爱。 加权二叉树：如果我们为二叉树的叶子节点分配正整数，就会得到加权二叉树。承载最小权重的树称为最优二叉树。若我们为表示叶子的符号分配前缀码，使其成为最优二叉树，则该前缀码称为最优前缀码。您将学习如何为特定字符串构建最优前缀码。 本课程作为续篇，将介绍和积累法则，其中和（sum）代表“或”（OR），积（product）代表“与”（AND）。 额外内容 - 理解抽样理论：学习如何计算期望均值和标准差，并了解如何使用正态分布表。您将学习如何通过概率限制和标准误差检查给定假设的无偏性。同时，课程还介绍散点图和残差，并教授如何解读这些图形，属于AP统计学的内容。 希望本课程能对您有所帮助！请将此信息分享给其他可能需要的学生。谢谢！
A beginner's guide to Optimal Prefix Codes. This course should answer your basic questions about prefix codes. I am Suman Mathews, a math educator teaching mathematics for three decades.Optimal Prefix CodesA sequence consisting of only 0 and 1 is called a binary sequence. A binary sequence is used as a code for messages sent through certain channels. Now the question is, how do we decode the sequence correctly?Given a binary sequence, a prefix code is a code, say, P, in which no sequence can be the prefix of any other sequence in that code. Prefix codes are represented by binary trees, as can be seen in the course. We assign the symbol 0 to every edge that is directed towards the child in the left and the symbol 1 to every edge that is directed towards the child in the right. The concept of parent and child is explained during the course. My students just love it.What is a weighted binary tree?If we assign positive integers to the leaves of a binary tree, you get a weighted binary tree. A tree which carries the minimum weight is called an optimal binary tree. If we assign a prefix code for the symbols representing the leaves so that we get an optimal binary tree, that prefix code is called the optimal prefix code. You'll learn a number of questions where you can construct an optimal prefix code for a string.As a sequel to this course, you'll learn the sum and product rule. Note that sum stands for 'OR' and product stands for 'AND'.Bonus-Understanding Sampling Theory. Learn how to calculate the expected mean and standard deviation and also learn how to use the Normal Distribution table.Learn how to check if the given hypothesis is unbiased using probable limits and standard error.You'll get introduced to Scatter Plots and Residuals and how to interpret them. This is AP Statistics.I hope this course helps you! Share this with other students who may need this. Thank you!
