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Statistical Foundations of AI and ML

Sub No. : AI61004
LTP: 3-1-0
Credits: 4

Prerequisite : Probability and Statistics, Machine Learning

Taught by : Adway Mitra

Teaching Assistents :

Sumanta Chandra Mishra Sharma

Ashraf Haroon Rashid


Probability: definitions, common discrete and continuous distributions, priors and posteriors

Estimation: Maximum Likelihood and Bayesian, Bias of estimation, interval estimation

Law of Large Numbers, Central Limit Theorem

Sampling: rejection, adaptive, importance, Metropolis-Hastings, Markov Chain Monte Carlo

Gaussian Mixture Models, Hidden Markov Models, E-M algorithm

Linear models for regression and classification, generalized linear models, Bayesian extension

Testing of hypothesis, model validation

Non-parametric Inference

Latent Dirichlet Allocation, Dirichlet and Hierarchical Dirichlet Process, Poisson Process