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Probability Foundations for Data Science and AI · LearnSpace
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Probability Foundations for Data Science and AI

Курс от University of Colorado Boulder
Средний≈ 42.8 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

Understand the foundations of probability and its relationship to statistics and data science.  We’ll learn what it means to calculate a probability, independent and dependent outcomes, and conditional events.  We’ll study discrete and continuous random variables and see how this fits with data collection.  We’ll end the course with Gaussian (normal) random variables and the Central Limit Theorem and understand its fundamental importance for all of statistics and data science. This course can be taken for academic credit as part of CU Boulder’s Master of Science in Data Science (MS-DS) and the Master of Science in Artificial Intelligence (MS-AI) degrees offered on the Coursera platform. These interdisciplinary degrees bring together faculty from CU Boulder’s departments of Applied Mathematics, Computer Science, Information Science, and others. With performance-based admissions and no application process, the CU degrees on Coursera are ideal for individuals with a broad range of undergraduate education and/or professional experience in computer science, information science, mathematics, and statistics. Learn more about the MS-DS program at https://www.coursera.org/degrees/master-of-science-data-science-boulder. Learn more about the MS-AI program at https://www.coursera.org/degrees/ms-artificial-intelligence-boulder Logo adapted from photo by Christopher Burns on Unsplash.

Навыки, которые вы освоите

ProbabilityProbability DistributionProbability & StatisticsCorrelation AnalysisStatistical AnalysisSampling (Statistics)Data AnalysisBayesian StatisticsData CollectionApplied Mathematics

Программа курса

6 модулей · 52 учебных материалов

01Descriptive Statistics and the Axioms of Probability17 материалов

Welcome to the Course and Introduction to R

Course Updates and Accessibility SupportЧтениеEarn Academic Credit for your Work!ЧтениеCourse SupportЧтениеCourse Resources and ReadingЧтение

Учитесь у экспертов

Anne Dougherty

Senior Instructor and Teaching Professor

Jem Corcoran

Associate Professor

Probability Foundations for Data Science and AI
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Обучение на Coursera

≈ 42.8 ч

6 модулей

Язык: Английский

Субтитры: Арабский, Французский, Бенгальский, Узбекский, Украинский, Китайский (Китай), Греческий, Итальянский, Бразильский португальский, Нидерландский, Корейский, Немецкий, Пушту, Урду, Русский, Тайский, Индонезийский, Шведский, Турецкий, Азербайджанский, Испанский, Дари, Хинди, Японский, Казахский, Венгерский, Польский

Часть программы вашего университета
Introduction to Jupyter Notebooks and RЛабораторная

Introduction to Probability

Intro to ProbabilityЧтениеIntro to ProbabilityВидео

Remaining Lectures

Axioms of ProbabilityВидеоCounting: Permutations and CombinationsВидео

Worked Examples

License Plate Counting ProblemВидеоEstimating ProbabilityВидеоProbability of Answering a Question CorrectlyВидео

Assessments

Introducing the formula sheet for this courseЧтениеGuided Exploratory Ungraded LabЛабораторнаяAI Policy QuizЗаданиеHomework: Axioms of ProbabilityПрограммированиеHomework: Descriptive Statistics and the Axioms of ProbabilityЗадание
02Conditional Probability6 материалов

Conditional Probability and Bayes Theorem

Conditional Probability and Bayes TheoremЧтениеConditional Probability and Bayes TheoremВидео

Independent Events

Independent EventsВидео

Assessments

Guided Exploratory Ungraded LabЛабораторнаяHomework: Conditional ProbabilityЗаданиеHomework: Bayes Theorem Программирование
03Discrete Random Variables8 материалов

Introduction to Discrete Random Variables

Discrete Random VariablesЧтениеDiscrete Random VariablesВидео

Examples of Discrete Random Variables

Bernoulli and Geometric Random VariablesВидеоExpectation and VarianceВидеоBinomial and Negative Binomial Random VariablesВидео

Assessments

Guided Exploratory Ungraded LabЛабораторнаяHomework: Discrete Random VariablesЗаданиеHomework:  Calculations with Discrete Random VariablesПрограммирование
04Continuous Random Variables9 материалов

Introduction to Continuous Random Variables

Continuous random variablesЧтениеContinuous Random VariablesВидео

Normal (Gaussian) Random Variable

Normal Random VariableЧтениеThe Gaussian (normal) Random Variable Part 1ВидеоThe Normal Random Variable Part 2Видео

Additional Continuous Random Variables

The Poisson and Exponential Random VariablesВидео

Assessments

Guided Exploratory Ungraded LabЛабораторнаяHomework: Continuous Random VariablesЗаданиеHomework: Continuous Random Variables and Normal Random VariablesПрограммирование
05Joint Distributions and Covariance6 материалов

Introduction to Covariance and Correlation

Covariance and CorrelationЧтениеCovariance and CorrelationВидео

Additional topics in Expectation and Variance

More on Expectation and VarianceВидеоJointly Distributed Random VariablesВидео

Assessments

Homework: Joint Distributions and CovarianceЗаданиеHomework: Calculations of Covariance and Correlation in Various ExamplesПрограммирование
06The Central Limit Theorem6 материалов

The Central Limit Theorem

Central Limit TheoremЧтениеIntroduction to the Central Limit TheoremВидеоCentral Limit Theorem ExamplesВидео

Assessments

Guided Exploratory Ungraded LabЛабораторнаяHomework: Central Limit TheoremЗаданиеHomework: Working with Normal Random Variables and the CLTПрограммирование