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Probability & Statistics for Machine Learning & Data Science · LearnSpace
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Probability & Statistics for Machine Learning & Data Science

Курс от DeepLearning.AI
Средний≈ 33.5 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

Newly updated for 2024! Mathematics for Machine Learning and Data Science is a foundational online program created by DeepLearning.AI and taught by Luis Serrano. In machine learning, you apply math concepts through programming. And so, in this specialization, you’ll apply the math concepts you learn using Python programming in hands-on lab exercises. As a learner in this program, you'll need basic to intermediate Python programming skills to be successful. After completing this course, you will be able to: • Describe and quantify the uncertainty inherent in predictions made by machine learning models, using the concepts of probability, random variables, and probability distributions. • Visually and intuitively understand the properties of commonly used probability distributions in machine learning and data science like Bernoulli, Binomial, and Gaussian distributions • Apply common statistical methods like maximum likelihood estimation (MLE) and maximum a priori estimation (MAP) to machine learning problems • Assess the performance of machine learning models using interval estimates and margin of errors • Apply concepts of statistical hypothesis testing to commonly used tests in data science like AB testing • Perform Exploratory Data Analysis on a dataset to find, validate, and quantify patterns. Many machine learning engineers and data scientists need help with mathematics, and even experienced practitioners can feel held back by a lack of math skills. This Specialization uses innovative pedagogy in mathematics to help you learn quickly and intuitively, with courses that use easy-to-follow visualizations to help you see how the math behind machine learning actually works.  We recommend you have a high school level of mathematics (functions, basic algebra) and familiarity with programming (data structures, loops, functions, conditional statements, debugging). Assignments and labs are written in Python but the course introduces all the machine learning libraries you’ll use.

Навыки, которые вы освоите

Probability DistributionProbabilityBayesian StatisticsStatistical Hypothesis TestingA/B TestingDescriptive StatisticsCorrelation AnalysisStatisticsStatistical VisualizationStatistical InferenceStatistical AnalysisData ScienceHistogramBox PlotsProbability & StatisticsStatistical Machine LearningExploratory Data AnalysisSampling (Statistics)Statistical Methods

Программа курса

4 модулей · 142 учебных материалов

01Week 1 - Introduction to Probability and Probability Distributions46 материалов

Lesson 1 - Introduction to Probability

Course IntroductionВидеоJoin the DeepLearning.AI Forum to ask questions, get support, or share amazing ideas!ЧтениеCheck your knowledgeЧтениеA note on programming experienceВидео

Учитесь у экспертов

Luis Serrano

Instructor

Probability & Statistics for Machine Learning & Data Science
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Обучение откроется на Coursera
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Обучение на Coursera

≈ 33.5 ч

4 модулей

Язык: Английский

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

Часть программы вашего университета
Learning Python: Recommended ResourcesЧтение
What is Probability?Видео
What is Probability? - Dice ExampleВидео
Interactive Tool: Repeated ExperimentsЧтение
Complement of ProbabilityВидео
Sum of Probabilities (Disjoint Events)Видео
Sum of Probabilities (Joint Events)Видео
IndependenceВидео
Birthday problemВидео
Conditional Probability - Part 1Видео
Conditional Probability - Part 2Видео
Four Birthday ProblemsЛабораторная
Bayes Theorem - IntuitionВидео
Bayes Theorem - Mathematical FormulaВидео
Monty Hall ProblemЛабораторная
Bayes Theorem - Spam exampleВидео
Bayes Theorem - Prior and PosteriorВидео
Bayes Theorem - The Naive Bayes ModelВидео
Probability in Machine LearningВидео
Week 1 - Practice QuizЗадание

Lesson 2 - Probability Distributions

Random VariablesВидеоProbability Distributions (Discrete)ВидеоBinomial DistributionВидео(Optional) Binomial CoefficientВидеоBernoulli DistributionВидеоProbability Distributions (Continuous)ВидеоProbability Density FunctionВидеоCumulative Distribution FunctionВидеоInteractive Tool: Relationship between PMF/PDF and CDF of some distributionsЧтениеUniform DistributionВидеоNormal DistributionВидео(Optional) Chi-Squared DistributionВидеоSampling from a DistributionВидеоExploratory Data Analysis - Intro to PandasЛабораторнаяExploratory Data Analysis - Exploring Your DataЛабораторнаяWeek 1 - Summative quizЗадание

Programming Assignment - Probability Distributions

(Optional) Common Coursera Labs OperationsЧтение(Optional) Assignment Troubleshooting TipsЧтение(Optional) Partial Grading for AssignmentsЧтениеNaive BayesПрограммирование

Week 1 Wrap Up

Week 1 - ConclusionВидеоWeek 1 - SlidesЧтение
02Week 2 - Describing probability distributions and probability distributions with multiple variables35 материалов

Lesson 1 - Describing Distributions

Expected ValueВидеоOther measures of central tendency: median and modeВидеоExpected value of a FunctionВидеоSum of expectationsВидеоVarianceВидеоStandard DeviationВидеоSum of GaussiansВидеоStandardizing a DistributionВидеоInteractive Tool: Mean, median and standard deviationЧтениеSkewness and Kurtosis: Moments of a DistributionВидеоSkewness and Kurtosis - SkewnessВидеоSkewness and Kurtosis - KurtosisВидеоQuantiles and Box-PlotsВидеоVisualizing data: Box-PlotsВидеоVisualizing data: Kernel density estimationВидеоVisualizing data: Violin PlotsВидеоVisualizing data: QQ plotsВидеоWeek 2 - Practice QuizЗадание

Lesson 2 - Probability Distributions with Multiple Variables

Joint Distribution (Discrete) - Part 1ВидеоJoint Distribution (Discrete) - Part 2ВидеоJoint Distribution (Continuous)ВидеоMarginal and Conditional DistributionВидеоConditional DistributionВидеоCovariance of a DatasetВидео

Programming Assignment - Loaded Dice

Simulating Dice Rolls with Numpy (helper for the assignment, not necessary and not graded)ЛабораторнаяLoaded DiceПрограммирование

Week 2 Wrap Up

Week 2 - ConclusionВидеоWeek 2 - SlidesЧтение
03Week 3 - Sampling and Point estimation27 материалов

Lesson 1 - Population and Sample

Population and SampleВидеоSample MeanВидеоSample ProportionВидеоSample VarianceВидеоLaw of Large NumbersВидеоCentral Limit Theorem - Discrete Random VariableВидеоCentral Limit Theorem - Continuous Random VariableВидеоSampling data from different distribution and studying the distribution of sample meanЛабораторнаяWeek 3 - Practice QuizЗадание

Lesson 2 - Point Estimation

Point EstimationВидеоMaximum Likelihood Estimation: Motivation ВидеоMLE: Bernoulli ExampleВидеоMLE: Gaussian ExampleВидеоMLE for Gaussian populationЧтениеInteractive Tool: Likelihood FunctionsЧтение

Week 3 Wrap Up

Week 3 - ConclusionВидеоWeek 3 - SlidesЧтение
04Week 4 - Confidence Intervals and Hypothesis testing34 материалов

Lesson 1 - Confidence Intervals

Confidence Intervals - OverviewВидеоConfidence Intervals - Changing the IntervalВидео Confidence Intervals - Margin of ErrorВидеоInteractive Tool: Confidence IntervalsЧтениеConfidence Intervals - Calculation StepsВидеоConfidence Intervals - ExampleВидеоCalculating Sample SizeВидеоDifference Between Confidence and ProbabilityВидеоUnknown Standard DeviationВидеоConfidence Intervals for ProportionВидеоWeek 4 - Practice QuizЗадание

Lesson 2 - Hypothesis Testing

Defining HypothesesВидеоType I and Type II errorsВидеоRight-Tailed, Left-Tailed, and Two-Tailed TestsВидеоp-ValueВидеоCritical ValuesВидеоPower of a TestВидеоInterpreting Results

End of access to Lab Notebooks

[IMPORTANT] Reminder about end of access to Lab NotebooksЧтение

Programming Assignment - AB Testing

A/B TestingПрограммирование

Week 4 Wrap Up

Week 4 - ConclusionВидеоWeek 4 - SlidesЧтение

Acknowledgments & Course Resources

AcknowledgmentsЧтение(Optional) Opportunity to Mentor Other LearnersЧтениеReferencesЧтение
Covariance of a Probability DistributionВидео
Covariance MatrixВидео
Correlation CoefficientВидео
Summary statistics and visualization of data setsЛабораторная
Multivariate Gaussian DistributionВидео
Exploratory Data Analysis - Data Visualization and Summary StatisticsЛабораторная
Week 2 - Summative QuizЗадание
MLE: Linear RegressionВидео
RegularizationВидео
Back to "Bayesics"Видео
Bayesian Statistics - Frequentist vs. BayesianВидео
Bayesian Statistics - MAPВидео
Bayesian Statistics - Updating PriorsВидео
Bayesian Statistics - Full Worked ExampleВидео
Relationship between MAP, MLE and RegularizationВидео
Exploratory Data Analysis - Linear RegressionЛабораторная
Week 3 - Summative QuizЗадание
Видео
t-DistributionВидео
t-TestsВидео
Test for proportions Чтение
Two Sample t-TestВидео
Two sample test for proportionsЧтение
Paired t-TestВидео
ML Application: A/B TestingВидео
Exploratory Data Analysis - Confidence Intervals and Hypothesis TestingЛабораторная
Week 4 - Summative QuizЗадание