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Foundations for Machine Learning · LearnSpace
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Foundations for Machine Learning

Курс от Dartmouth College
Средний≈ 21.5 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

This course provides a practical and theoretical tour of the most essential probability distributions that are most often used for modern machine learning and data science. We will explore the fundamental building blocks for modeling discrete events (Bernoulli, binomial, multinomial distributions) and continuous quantities (Gaussian distribution) and discuss the implications of Bayes Theorem. Moreover, we will discuss two perspectives in estimating the model parameters, namely Bayesian perspective and frequentist perspective and learn how to reason about uncertainty in model parameters themselves using the powerful beta and Dirichlet distributions for Bayesian perspective and maximum likelihood estimate for frequentist perspective. By the end of this course, you will have a fluent command of the mathematical "language" needed to understand, build, and interpret probabilistic models.

Навыки, которые вы освоите

Probability & StatisticsStatistical MethodsCalculusClassification Algorithms

Программа курса

8 модулей · 74 учебных материалов

01Course Orientation3 материалов

Course Orientation (old - figure out what to keep)

Course OverviewЧтениеIntroduction to Machine LearningВидеоProbability Distributions OverviewЧтение
02Probability Distributions: Bernoulli11 материалов

Probability Distributions: Bernoulli

Учитесь у экспертов

Peter Chin

Professor of Engineering

Foundations for Machine Learning
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Обучение на Coursera

≈ 21.5 ч

8 модулей

Язык: Английский

Часть программы вашего университета
The Bernoulli DistributionЧтение
Bernoulli Distribution: IntroductionВидео
Bernoulli DistributionЗадание
Probability Experiment: Coin TossЧтение
Bernoulli Variables: Maximum Likelihood Estimate - Part 1Видео
Bernoulli Variables: Maximum Likelihood Estimate - Part 1Задание
Bernoulli Variables: Maximum Likelihood Estimate - Part 2Видео
Bernoulli Variables MLE: DerivationЗадание
Bernoulli Variables MLE: Part 2 (Python Lab)Лабораторная
Bernoulli Variables MLE: Part 3Задание
Bernoulli Variables MLE: Part 2 (Python Lab) SolutionsЛабораторная
03Probability Distributions: Binomial11 материалов
The Binomial DistributionЧтениеBinomial DistributionВидеоBinomial Distribution Assignment: Part 1ЗаданиеBinomial Distribution Assignment: Part 2ЗаданиеBinomial Distribution: MeanВидеоBinomial Distribution: MeanЗаданиеBinomial Distribution: VarianceВидеоBinomial Distribution: VarianceЗаданиеBinomial Distribution: MLEВидеоBernoulli Distribution MLE Revisited: Part 1 (Python Lab)ЛабораторнаяBernoulli Distribution MLE Revisited: Part 2 Задание
04Probability Distributions: Beta14 материалов
The Bayesian PerspectiveЧтениеBeta Distribution: DefВидеоBeta Distribution: Part 1ЗаданиеBeta Distribution: Part 2 (Python Lab)ЛабораторнаяBeta Distribution: Part 3ЗаданиеBeta Distribution: NormalizedВидеоBeta Distribution NormalizationЗаданиеBeta Distribution: Mean and VarianceВидеоBeta Distribution Mean and VarianceЗаданиеBeta Distribution: Bayesian UpdateВидеоBeta Distribution Bayesian Update: Part 1 (Python Lab)ЛабораторнаяBeta Distribution Bayesian Update: Part 2ЗаданиеBeta Distribution Bayesian Update: Part 1 (Python Lab) SolutionsЛабораторнаяBernoulli to Beta Distribution ReflectionЧтение
05Probability Distributions: Multinomial10 материалов
Expanding DimensionsЧтениеMultinomial DistributionВидеоMultinomial DistributionЗаданиеMultinomial Distribution: MLEВидеоMultinomial Distribution MLE: Part 1ЗаданиеMultinomial Distribution MLE: Part 2 (Python Lab)ЛабораторнаяMultinomial Distribution MLE: Part 3ЗаданиеMultinomial Distribution MLE: Part 2 (Python Lab) SolutionsЛабораторнаяMultinomial Distribution: NormalizedВидеоMultinomial Distribution: NormalizationЗадание
06Probability Distributions: Dirichlet8 материалов
Dirichlet Distribution: OverviewЧтениеDirichlet DistributionВидеоDirichlet Distribution Visualization: Part 1 (Python Lab)ЛабораторнаяDirichlet Distribution Visualization: Part 2ЗаданиеDirichlet Distribution Bayesian Update: Part 1 (Python Lab)ЛабораторнаяDirichlet Distribution Bayesian Update: Part 2ЗаданиеDirichlet Distribution Bayesian Update: Part 1 (Python Lab) SolutionsЛабораторнаяCategorical to Dirichlet Distribution: ReflectionЧтение
07Probability Distributions: Gaussian15 материалов
The Gaussian DistributionЧтениеUnivariate GaussianВидеоUnivariate Gaussian: Part 1 (Python Lab)ЛабораторнаяUnivariate Gaussian: Part 2ЗаданиеUnivariate Gaussian: Part 1 (Python Lab) SolutionsЛабораторнаяMultivariate Gaussian - Part 1ВидеоMultivariate Gaussian: Part 1 (Python Lab)ЛабораторнаяMultivariate Gaussian: Part 2ЗаданиеMultivariate Gaussian - Part 2ВидеоMultivariate Gaussian Coordinate Transform (Change of Variables)ЗаданиеMultivariate Gaussian - Part 3ВидеоGaussian PDF in the EigenspaceЗаданиеMultivariate Gaussian - Part 4ВидеоFinding the Maximum Entropy DistributionЗаданиеGaussian Distribution as Max Entropy DistributionВидео
08Course Wrap-Up2 материалов
Course ReflectionЗаданиеCourse Wrap-UpЧтение