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Bayesian Inference Fundamentals · LearnSpace
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Bayesian Inference Fundamentals

Курс от University of Pittsburgh
Средний≈ 20.2 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

Master Bayesian inference and unlock powerful probabilistic reasoning for data-driven decision-making. This course builds your foundation in Bayesian analysis, from viewing probability as degrees of belief to implementing advanced MCMC methods. Learn to apply Bayes’ theorem to real-world problems, use conjugate priors for efficient computation, and derive credible intervals that fully capture parameter uncertainty. Through hands-on practice, you’ll move from analytical solutions to computational techniques like Metropolis-Hastings, Gibbs sampling and Variational Inference, essential for modern Bayesian workflows. You’ll gain skill in interpreting posterior distributions, contrasting Bayesian and frequentist perspectives, and applying convergence diagnostics for reliable results. Whether in finance, healthcare, or business, you’ll acquire the statistical framework and computational tools to make principled inferences under uncertainty and effectively communicate probabilistic insights.

Навыки, которые вы освоите

Bayesian StatisticsProbability DistributionStatistical InferenceProbability & StatisticsMarkov ModelStatistical MethodsStatistical ProgrammingStatistical ModelingAlgorithmsStatisticsStatistical Analysis

Программа курса

4 модулей · 72 учебных материалов

01Introduction to Bayesian Inference Fundamentals19 материалов

Lesson 1: The Bayes' Rule

Introduction to Bayesian ThinkingВидеоCourse OverviewЧтениеTechnical and Accessibility SupportЧтениеProbabilistic ThinkingВидео

Учитесь у экспертов

Konstantinos Pelechrinis

Преподаватель курса

Bayesian Inference Fundamentals
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Обучение на Coursera

≈ 20.2 ч

4 модулей

Язык: Английский

Субтитры: Дари, Пушту

Часть программы вашего университета
Conditional Probability and Bayes' RuleВидео
The PriorВидео
The McGurk EffectЧтение
Guided Lab: Bayesian Inference in College FootballЛабораторная
Lab Check-in: Bayesian Inference in College FootballЗадание
Probabilities and BeliefsЗадание

Lesson 2: Uncertain Quantities & Bayesian Refinement

Random VariablesВидеоBayesian AverageЧтениеDisease Testing and Bayes' RuleЧтениеBayesian Reasoning & UncertaintyЗадание

Lesson 3: Assignments

Prior Beliefs to PosteriorsDIALOGUELet's Practice: Introduction to Applied Bayesian Data AnalysisЗаданиеTest Yourself: Introduction to Applied Bayesian Data AnalysisЗадание

Lesson 4: Module Wrap-Up

Module Wrap-UpЧтениеRecommended Learning ResourcesЧтение
02Bayes' Theorem and Conjugate Priors17 материалов

Lesson 1: Bayes' Rule for Distributions

Foundations of Bayesian InferenceВидеоBayes’ Rule Beyond Point EstimatesВидеоNormal, Binomial, and, Poisson distributionsЧтениеBayes' Rule for DistributionsЗадание

Lesson 2: Conjugate Priors

Bayesian NFL player evaluationВидеоA deeper look at the Bayesian NFL player evaluationЗаданиеConjugate PriorsВидеоPoisson LikelihoodЧтениеConjugate priorsЗадание

Lesson 3: Practical Matters

Sequential updates in PythonВидеоLaplacian smoothingВидеоBayesian Box Office RevenueЛабораторнаяLab Check-in: Bayesian Box Office RevenueЗаданиеLaplacian SmoothingЗадание

Lesson 4: Assignments

Let's Practice: Bayes' Theorem and Conjugate PriorsЗаданиеTest Yourself: Bayes' Theorem and Conjugate PriorsЗадание

Lesson 5: Module Wrap-Up

Module Wrap-Up Чтение
03Bayesian Estimation and Credible Intervals19 материалов

Lesson 1: Credible Intervals vs Confidence Intervals

Credible intervalsВидеоCredible vs confidence intervalsВидеоEmpirical Credible IntervalsЧтениеHighest Density Intervals (HDIs) DemonstrationЛабораторнаяIs it credible or is it confident?Задание

Lesson 2: Sampling

Posterior samplingВидеоInverse Transform SamplingЧтениеSamplingЗадание

Lesson 3: Simulation-based Methods

Approximate Bayesian Computation (ABC)ВидеоABC Example: The importance of function S()ЧтениеSimulation-based MethodsЗадание

Lesson 4: Swipe Left on That Sample: A Guide to Rejection Sampling

Rejection SamplingВидеоAn example of how to sample like a snob: reject themЧтениеRejection Sampling ParticleЛабораторнаяRoll the dice and test your sampling knowledgeЗадание

Lesson 5: Assignments

Confidence vs. CredibilityDIALOGUELet's Practice: Bayesian Estimation and Credible IntervalsЗаданиеTest Yourself: Bayesian Estimation and Credible IntervalsЗадание

Lesson 6: Module Wrap-Up

Module Wrap-Up Чтение
04Markov Chain Monte Carlo (MCMC) Methods17 материалов

Lesson 1: Markov Chain Monte Carlo (MCMC)

Why do we need MCMC?ЧтениеMarkov Chain Monte Carlo (MCMC)ВидеоMCMC MethodЗадание

Lesson 2: MCMC Algorithms

Gibbs SamplingВидеоGibbs sampling in PythonЛабораторнаяLab Check-in: Gibbs sampling in PythonЗаданиеMetropolis-Hastings SamplingВидеоBayesian inference with Metropolis-Hastings samplingЧтениеMetropolis Hastings Bayesian inferenceЛабораторнаяOther Sampling AlgorithmsЧтениеMCMC ConvergenceВидеоMCMC AlgorithmsЗадание

Lesson 3: Assignments

MCMC TroubleshootingDIALOGUELet's Practice: Markov Chain Monte Carlo (MCMC) MethodsЗаданиеTest Yourself: Markov Chain Monte Carlo (MCMC) MethodsЗадание

Lesson 4: Module Wrap-Up

Module Wrap-Up Чтение

Course Wrap-Up

Course SummaryЧтение