Academic Courses
A collection of lecture notes I have compiled while studying at ISI Chennai and IISc Bangalore, together with several self-initiated reading courses designed to deepen my understanding of topics central to my research. Each course links to a folder of handwritten notes — I hope they are useful to others working through the same material.
📚 12 courses 📝 298 lectures 🔬 3 self-initiated
Machine Learning Theory
Conformal Prediction and Learning
IISc 2024 26 lectures Self-initiated In progress
Confidence and conformal predictors, conformalized ridge and nearest-neighbour regression, efficiency criteria, and conformal test martingales.
Differentially Private Learning
IISc 2023 24 lectures Self-initiated In progress
Laplace, exponential and Gaussian mechanisms, composition theorems, PAC learning and VC dimension, DP-ERM, DP-SGD, and reconstruction attacks.
Online Prediction and Learning
IISc 2022 28 lectures
Prediction with experts, halving and weighted majority, FTL and FTRL, online mirror descent, Fenchel duality, and stochastic bandits.
Statistics & Information Theory
Information Theoretic Learning
IISc 2024 46 lectures Self-initiated In progress
Entropy and conditional entropy, Han's inequality and Shearer's lemma, divergence and Fisher information, and variational characterizations.
Concentration Inequalities
IISc 2024 24 lectures
Cramer-Chernoff method, Hoeffding-Bennett-Bernstein bounds, Efron-Stein and the entropy method, log-Sobolev inequalities, and isoperimetry.
Detection and Estimation Theory
IISc 2022 35 lectures
Binary and Bayesian hypothesis testing, Neyman-Pearson and minimax tests, GLRT, sequential testing, and MAP/MMSE/LLSE estimation.
Mathematical Foundations
Measure Theory
IISc 2023 37 lectures
Outer and Lebesgue measure, measurable functions, integration, monotone and dominated convergence, and product measures.
Algebra
ISI & IISc 2022 6 lectures
Groups, subgroups and cosets, properties of cosets, and morphisms.
Topology
ISI & IISc 2022 13 lectures
Topological and metric spaces, bases, subspace and order topology, continuity, homeomorphisms, and connectedness.
Multivariable Calculus
ISI & IISc 2022 23 lectures
Derivatives and differentiability, inverse and implicit function theorems, Taylor's theorem, extrema, manifolds, and integration.
Linear Algebra and Matrix Analysis
ISI & IISc 2022 8 lectures
Fields and vector spaces, linear systems and RREF, span and bases, and linear transformations.
Real Analysis
ISI & IISc 2022 28 lectures
Construction of the reals, cardinality, metric topology, compactness and connectedness, sequences and series, limits and continuity.