Math 0-1: Probability for Data Science & Machine Learning

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 Math 0-1: Probability for Data Science & Machine Learning

mayoufi

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Published 9/2024
Created by Lazy Programmer Team,Lazy Programmer Inc.
MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz, 2 Ch
Genre: eLearning | Language: English | Duration: 94 Lectures ( 17h 30m ) | Size: 7.62 GB


A Casual Guide for Artificial Intelligence, Deep Learning, and Python Programmers

What you'll learn:
Conditional probability, Independence, and Bayes' Rule
Use of Venn diagrams and probability trees to visualize probability problems
Discrete random variables and distributions: Bernoulli, categorical, binomial, geometric, Poisson
Continuous random variables and distributions: uniform, exponential, normal (Gaussian), Laplace, Gamma, Beta
Cumulative distribution functions (CDFs), probability mass functions (PMFs), probability density functions (PDFs)
Joint, marginal, and conditional distributions
Multivariate distributions, random vectors
Functions of random variables, sums of random variables, convolution
Expected values, expectation, mean, and variance
Skewness, kurtosis, and moments
Covariance and correlation, covariance matrix, correlation matrix
Moment generating functions (MGF) and characteristic functions
Key inequalities like Markov, Chebyshev, Cauchy-Schwartz, Jensen
Convergence in probability, convergence in distribution, almost sure convergence
Law of large numbers and the Central Limit Theorem (CLT)
Applications of probability in machine learning, data science, and reinforcement learning

Requirements:
College / University-level Calculus (for most parts of the course)
College / University-level Linear Algebra (for some parts of the course)

 

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