Probability

Probability for AI & ML

Playlist Probability for AI & ML | Full Course Videos

This course includes

15 articles

1h 19m reading time

36 videos • 11 hr 55 mins

Introduction to Probability 14 Topics, Read: 5 mins, 4 Videos: 31 mins

Probability

Sample Space

Event

Discrete

Continuous

Mutually Exclusive (Disjoint) Events

Independent Events

Probability for Machine Learning Watch 6 mins

Sample Space | Discrete | Continuous - Explained with Example Watch 9 mins

Mutually Exclusive & Independent Events | Probability for Machine Learning Watch 9 mins

Why Probability = 0 does not mean Impossible ? | Explained with Example Watch 6 mins

Conditional Probability 8 Topics, Read: 3 mins, 2 Videos: 33 mins

Conditional Probability

Chain Rule

Bayes' Theorem

Law of Total Probability

Generalised Bayes' Theorem

Conditional Probability | Explained with example Watch 9 mins

Bayes' theorem for Machine Learning | Law of Total Probability | Explained with Example Watch 24 mins

Independence of Events 7 Topics, Read: 3 mins, 1 Video: 22 mins

Independence of Events

Mutual Independence

Pair-Wise Independence

Conditional Independence

Independence of Events Explained | Mutual, Pairwise & Conditional Independence Made Easy! Watch 22 mins

Cumulative Distribution Function 11 Topics, Read: 5 mins, 1 Video: 31 mins

Random Variable(RV)

Discrete Random Variable

Continuous Random Variable

Cumulative Distribution Function(CDF)

Key properties of CDF

Discrete Case

Continuous Case

Cumulative Distribution Function (CDF) | Intuition + Examples Watch 31 mins

Probability Mass Function 10 Topics, Read: 4 mins, 3 Videos: 37 mins

Probability Mass Function(PMF)

Key properties of PMF

Bernoulli Distribution

Binomial Distribution

Assumptions

Poisson Distribution

PMF of Poisson Distribution

Probability Mass Function (PMF) | Explained with Examples Watch 10 mins

Bernoulli and Binomial Distribution | Explained with Examples Watch 16 mins

Poisson Distribution | Formula | Derivation | Intuition with Examples Watch 10 mins

Probability Density Function 18 Topics, Read: 9 mins, 6 Videos: 1 hr 17 mins

Probability Density Function(PDF)

Key properties of PDF

Uniform Distribution

PDF of Uniform Distribution

CDF of Uniform Distribution

Gaussian(Normal) Distribution

PDF of Gaussian Distribution

CDF of Gaussian Distribution

68-95-99 Rule

Exponential Distribution

PDF of Exponential Distribution

CDF of Exponential Distribution

Memoryless Property of Exponential Distribution

Relation of Exponential Distribution and Poisson Distribution

Probability Density Function (PDF) for Machine Learning | Simplified with Example Watch 16 mins

Uniform Distribution | Explained with Examples Watch 6 mins

Gaussian Distribution Explained | The Bell Curve of Machine Learning Watch 12 mins

Exponential Distribution | Explained with Examples Watch 12 mins

Why Exponential Distribution is Memoryless? | Intuition + Math + Example Watch 16 mins

Exponential and Poisson Distribution are 2 Faces of the Same Coin | Explained with Example Watch 14 mins

Expectation 3 Topics, Read: 5 mins, 1 Video: 37 mins

Expectation

Variance

Co-Variance

Expectation → Variance → Covariance | Step-by-Step Intuitive Guide Watch 37 mins

Moment Generating Function 2 Topics, Read: 3 mins, 2 Videos: 18 mins

Moment

Moment Generating Function

Moment Generating Function (MGF) of a Random Variable | Explained with Example Watch 13 mins

Joint & Marginal 8 Topics, Read: 8 mins, 3 Videos: 1 hr 15 mins

Joint Probability Distribution

Marginal Probability Distribution

Conditional Probability

Application

Conditional Expectation

Conditional Variance

Joint Probability Distribution of Random Variable | Explained with Example Watch 25 mins

Marginal Probability Distribution of Random Variable | Explained with Example Watch 26 mins

Conditional Probability Distribution for Machine Learning | Explained with Example Watch 23 mins

Independent & Identically Distributed 6 Topics, Read: 4 mins, 1 Video: 27 mins

I.I.D

Independence of Random Variables

Identically Distributed

Independent & Identically Distributed(I.I.D)

Independent & Identically Distributed (IID) Random Variables for Machine Learning | Explained Watch 27 mins

Convergence 4 Topics, Read: 3 mins, 1 Video: 42 mins

Convergence in Probability

Almost Sure Convergence

Convergence of Random Variable | Law of Large Numbers | Explained with Example Watch 42 mins

Law of Large Numbers 5 Topics, Read: 2 mins, 1 Video: 42 mins

Weak Law of Large Numbers (WLLN)

Strong Law of Large Numbers (SLLN)

Application

Convergence of Random Variable | Law of Large Numbers | Explained with Example Watch 42 mins

Markov's Inequality 3 Topics, Read: 3 mins, 1 Video: 36 mins

Markov's Inequality

Chebyshev's Inequality

Chernoff Bound

Markov's Inequality | Chebyshev Inequality | Chernoff Bounds | Machine Learning Watch 36 mins

Cross Entropy & KL Divergence 5 Topics, Read: 6 mins, 4 Videos: 59 mins

Surprise Factor

Entropy

Cross Entropy

Kullback Leibler (KL) Divergence

Jensen-Shannon Divergence

Entropy for Machine Learning | Information Gain & Surprise Factor | Explained with Examples Watch 20 mins

Cross Entropy for Machine Learning | Intuitive Math + Real Example Watch 10 mins

Kullback Leibler (KL) Divergence for Machine Learning | Relation to Cross Entropy | Explained Watch 15 mins

Jensen–Shannon (JS) Divergence for Machine Learning | Relation with KL Divergence | Explained Watch 13 mins

Parametric Model Estimation 6 Topics, Read: 16 mins, 5 Videos: 2 hr 24 mins

Parametric Model Estimation

2 Approaches

Maximum Likelihood Estimation

Bayesian Statistics

Maximum A Posteriori (MAP) Estimator

Minimum Mean Square Error (MMSE) Estimation

Parametric Model Estimation for Machine Learning | Explained with Example Watch 11 mins

Maximum Likelihood Estimation (MLE) for Machine Learning | Intuition + Worked Example Watch 21 mins

Bayesian Statistics for Machine Learning | Prior , Likelihood & Posterior | Explained with Example Watch 45 mins

Maximum A- Posteriori (MAP) Estimation for Machine Learning | Explained with Example Watch 46 mins

Minimum Mean Square Error (MMSE) Estimation for Machine Learning | Explained with Example Watch 19 mins

Probability

This course includes

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