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Buddhananda Banerjee
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Buddhananda Banerjee
  • Home
  • Work & Education
  • Publication
  • Research Group
  • Teaching
  • Conference & Seminar
  • Collaboration
  • Academic Services
  • More
    • Home
    • Work & Education
    • Publication
    • Research Group
    • Teaching
    • Conference & Seminar
    • Collaboration
    • Academic Services

Video lectures on Basics  of Probability & Statistics [Watch in Youtube videos]  


Books: 

  • Black, K.:  Business statistics: for contemporary decision making. 

  • Miller, M. &  Miller, I. :  John E. Freund's Mathematical Statistics: With Applications. 

  • Rice, John A. :  Mathematical statistics and data analysis. 

  • Lay, D. C.:  Linear algebra and its applications.

        Useful Links 

  • R Software      

  • R-Studio IDE      

  • Introduction to R (Manual)


  • Probability 

  • Random variable and vector 

  • Moments  

  • Transformation of random variables 

  • Sampling distributions

  • Law of large  numbers (LLN)

  • Inference 


MA60215/MA30235+MA39211 : Advanced Machine Learning + Lab (Autumn,2026)  Class Notes

MON(08:00-08:55) , MON(09:00-09:55) , TUE(12:00-12:55) @ NR323  + THURS(02:00-04:55) @ CIC-LAB:III 

Focus areas: Deep learning architectures (ANN, RNN, CNN, GNN), Training methodologies and optimization, Applications across vision, sequential data, and graphs Decision-making frameworks through reinforcement, defussion and transformer. 

Prerequisites:  Fundamentals of AI & ML, Design & Analysis of Algorithms

Books:

  1. Bishop, C. M., & Bishop, H. (2023). Deep learning: Foundations and concepts. Springer Nature.

  2. Murphy, K. P. (2023). Probabilistic machine learning: Advanced topics. MIT press.

  3. Pedrycz, W., & Chen, S. M. (2020). Deep learning: Concepts and architectures. Cham: Springer.

  4. Islam, T. (2026). Hands-on Deep Learning: Building Models from Scratch. Springer Nature.

  5. Zhang, A., Lipton, Z. C., Li, M., & Smola, A. J. (2023). Dive into deep learning. Cambridge Univ.  Press.


MA60274 : AI & ML (Spring ,2026)  [Get Lecture references]

 [ I  will cover the ML part only ] 

Focus Areas: 

AI: Graph structures and search strategies, including uninformed and heuristic-based algorithms such as BFS, DFS, A*, and game-theoretic decision-making using minimax and Monte Carlo tree search. Logical reasoning through propositional logic complements algorithmic problem-solving. 

ML:  Supervised and unsupervised learning with emphasis on clustering methods, regression models, gradient-based optimization, and neural networks, backpropagation. Evolutionary algorithms, genetic algorithms, 

Prerequisites: Probability & Statistics ,  Linear Algebra 

Books:

  1. Artificial Intelligence: A Modern Approach. Stuart J. Russell and Peter Norvig.

  2. Artificial Intelligence: Structures and Strategies for Complex Problem Solving : G. F Lunger 

  3. Pattern recognition and machine learning. :  C. M. Bishop, 

  4. An introduction to statistical learning with applications in R :G James, D Witten, T Hastie, and R  Tibshirani

  5. Handbook Statistical foundations of machine learning:  Gianluca Bontempi

MA60263 : Multivariate Statistical Methods (Autumn,2025) Download Lecture note

Focus Areas : Linear Algebra (Revision) , Joint & Marginal Probability distributions (Revision)  , Multivariate Normal & sampling distributions ,  Multiple linear regression 

Principal Component analysis , Factor Analysis , Discriminant Analysis , Classification, Clustering , High dimensional data analysis 


Prerequisites:  Probability & Statistics , Linear Algebra 

Books:

  1. Johnson, R. A., & Wichern, D. W. (2002). Applied multivariate statistical analysis (Vol. 5, No. 8).

  2. Zelterman, D. (2015). Applied multivariate statistics with R 

  3. Boyd, S., & Vandenberghe, L. (2018). Introduction to applied linear algebra: vectors, matrices, and least squares. 

  4. Strang, G. (2020). Introduction to Applied Linear Algebra: Vectors, Matrices, and Least Squares [Bookshelf].

MA60056/MA60280 : Regression and Time series Models (Spring,2026)  Download Lecture Notes

Regression: Linear Algebra (Revision) , Testing of Hypothesis (Revision) , Linear models, Miticollinearity, Regularization, Generalized Linear models. Model acccuracy checking

Time-Series: Linear processes, Stationarity, Autocovariance, ACF, PACF,  Estimation, ARIMA, SARIMA

Prerequisites: Probability & Statistics 

Books:

  1. Introduction to Linear Regression Analysis, 5th Edition: Douglas C. Montgomery, Elizabeth A. Peck, G. Geoffrey Vining

  2. Regression Analysis by Example, 5th Edition Samprit Chatterjee, Ali S. Hadi

  3. Time Series Analysis and Its Applications: With R Examples : Robert H. Shumway , David S. Stoffer

  4. Introduction to Time Series and Forecasting : Brockwell, Peter J., Davis, Richard A.

MA20205 : Probability and  Statistics (Autumn,2025) Download Class Notes

Focus Areas : Probability : Definition & laws,  Random variable,  Modeling with Random Variables, Examples of discrete random variables, Examples of continuous random variables:,  Joint and conditional distributions, Laws of expectation ,  Law of Large Numbers , Estimation , Testing of Hypothesis . 

Prerequisites: 1st year mathematics courses

Books:

  1. Mathematical Statistics and Data Analysis by John A. Rice 

  2. Introduction to Probability and Statistics for Engineers and Scientists by S.M. Ross

  3. Probability and Statistical Inference by R.V. Hogg, E.A. Tanis, & D. L. Zimmerman

  4. Introduction to Probability Theory by Paul G. Hoel, Sidney C. Port and Charles J. Stone    

Teaching over the years 2014-present

IIT Kharagpur: (Spring, 2017-till date)

  1. MA60215/MA30235+MA39211 : Advanced Machine Learning + Lab

Autumn 2026

  1. MA60056 /MA31020: Regression & Time series Model

 Spring   2026, 2025, 2024, 2023, 2022, 2021, 2020, 2018

 Autumn 2021, 2020, 2019, 2018, 2017

  1. MA20205/MA20104 : Probability and  Statistics

Autumn  2025, 2024, 2023, 2022, 2021, 2020

Spring    2019, 2018, 2017

  1. MA60263: Multivariate Statistical Methods 

Autumn  2025, 2024

  1. MA60274:  AI &ML

Spring    2026, 2025, 2023

  1. MA60049: Computational Statistics 

Autumn  2020

  1. AI61004: Stat foundation for AI &ML

Spring    2022

  1. MA41108: Statistical Inference 

Spring    2019

  1. MA60017: Statistical methods 

Autumn  2022

  1. MA60061: Statistical Technique and computer programming 

Autumn  2019

  1. MA49210:  Statistical Lab

Spring    2024


IISER Kolkata (Autumn,2014-Autumn,2016)

  1.  2016 Autumn:  ID 4105 : Mathematical Statistics 

  2.  2016 Spring:    ID 4208 : Statistics Lab &  MA5211 : Regression & Cla

  3.  2016 Autumn:  ID 4104 : Numerical Analysis Lab &  MA5017 : Markov chain & Stochastic Process

  4.  2015 Spring:    MA2201 : Probability and Statistics & MA5210 : Statistical inference 

  5. 2014 Autumn:   ID 4104:  Numerical Analysis Lab 

ISI Kolkata (Spring, 2014)

 1.  Survival Analysis (M.Stat., 2nd Year)

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