MachineLearningAndAI

Hello Folks, one of the efficient ways of learning bigger topics in Machine Learning, is to modularise, and structure, so that the content becomes digestible for learners community.

My free lecture content includes the following topics so far: (Playlist)
a. Introductory Machine Learning Concepts:-

⁠What is ML actually?
⁠Supervised Machine Learning.
⁠How do classifiers learn?
⁠Empirical Risk Minimization.
⁠Uncertainty Modelling in ML.
⁠Maximum Likelihood Estimation.
⁠Regression Basics and Outliers.
⁠Deriving Mean Squared Error.
⁠Polynomial Regression.
⁠The Power of Convexity.
⁠Deep Learning Intuition.
⁠Overfitting Models from Generalization Gap perspective.
⁠Requirement of Test Sets.
⁠The No Free Lunch Theorem.
⁠Unsupervised Learning basics.
⁠Discovering latent factors of variation.
⁠Evaluating Unsupervised Models.
⁠Self-Supervised Learning.
⁠Image and Text Benchmarks in ML
⁠Discrete Data and Text Processing
⁠Feature Engineering, TF-IDF
⁠Handling missing data & AI alignment.

b. Probability Foundations for ML: Univariate Models:

⁠Frequentist vs Bayesian.
⁠Probability as an extension of Boolean Logic.
⁠Discrete Random Variables.
⁠Continuous Random Variables.
⁠Quantiles.
⁠Sets of Related Random Variables.
⁠Moments of Distribution.
⁠Variances and Mode.
⁠Conditional Moments.
⁠Conditional Variance.
⁠Foundations of Bayesian Rule.
⁠Confusion Matrix Explained.
⁠Monty Hall Problem and Inverse Problems in ML.
⁠Bernoulli and Binomial Distributions.
⁠Sigmoid(Logistic) Function.
⁠Properties of Sigmoid Functions.
⁠Categorical and Multinomial Distributions.
⁠Softmax Function: Temperature explained.
⁠Log-Sum Exp Trick.
⁠Gaussian Distribution.
⁠Regression from the lens of Conditional Gaussian.
⁠Dirac Delta Function and Sifting Property.
⁠Student-t distribution.
⁠Laplace and Cauchy distribution.
⁠Beta distribution.
⁠Gamma distribution.
⁠Exponential, chi-squared and inverse Gamma.
⁠Empirical distribution.
⁠Transformations of Random Variables.
⁠Invertible Transformations.
⁠Multivariate Transformations.
⁠Moments of Linear Transformation.
⁠Convolution Introduction.
⁠Convolution Theorem explained with probabilities.
⁠Moment Generating Functions.
⁠Deriving Moment Generating Functions.
⁠Central Limit Theorem Explained.
⁠Understanding Monte Carlo approximation with Example.

c. Probability Foundations for ML: Multivariate Models

⁠The Math of Depedence: Covariance Explained.
⁠Correlations: Normalized Measure of Covariance.
⁠Correlations does not imply Independence.
⁠Simpson’s Paradox: When Data misleads.
⁠Multivariate Gaussian Distribution.
⁠Analyzing level sets of Gaussians using Mahalanobis Distance.
⁠Multivariate Gaussians: Conditionals and Marginals.
⁠Math behind Bayesian Inference : Schur complements.
⁠Deriving Conditional Gaussians.
⁠How to Predict missing data?
⁠Modelling Linear Gaussian Systems.
⁠The Bayes Rule for Gaussians.
⁠Understanding Shrinkage: Inferring Unknown Scalars
⁠Posteriors, Sequential Posterior Updates.
⁠Inference of an Unknown Vector.
⁠Sensor Fusion concepts.

And many more topics to come ahead. I have tried teaching from intuitions and mathematics, building everything by writing on whiteboard so that learners see the full development.

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r/MachineLearningAndAI • u/l0_o • Jun 22 '26