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Indian Institute of Technology Kanpur

Probability for Computer Science

Indian Institute of Technology Kanpur and NPTEL via Swayam

Overview

Probability is one of the most important ideas in human knowledge. This is a crash course to introduce the concept of probability formally; and exhibit its applications in computer science, combinatorics, and algorithms. The course will be different from a typical mathematics course in the coverage and focus of examples. After finishing this course a student will have a good understanding of both theory and practice of probability in diverse areas.INTENDED AUDIENCE : Computer Science & Engineering, Mathematics, Electronics, Physics, Statistics, & similar disciplines.PREREQUISITES : NilINDUSTRY SUPPORT : Machine Learning, Data Streaming, Discrete Optimization, Cryptography, Coding theory, Computer Algebra, Cyber

Syllabus

Week 1: Introductory examples. Probability for finite space. Week 2: Sigma algebra. Conditional probability Week 3: Expectation. Famous random variables. Week 4: Concentration inequalities. Boosting by Chernoff. Week 5: Stochastic process. Week 6: Stationary distribution examples. Week 7: Probabilistic method examples. Week 8: Streaming algorithms.

Taught by

Prof. Nitin Saxena

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