IST - Mathematical Foundation for Data Science and Machine Learning using MATLAB (2025)
Speakers and Syllabus
| Name of the Speaker with affiliation | No. of Lectures | Detailed Syllabus |
| Dr. Mithilesh Kumar Chaube , IIIT Naya Raipur |
6 | Linear Algebra: Vectors and Matrices, Vector Spaces, Linear Transformations, Matrix Operations, Eigenvalues and Eigenvectors, Iterative methods for computing eigenvalues, Gram-Schmidt Process, Singular Value Decomposition (SVD), LU decomposition, QR Decomposition and the Moore Penrose inverse. |
| Prof. Sk. Safique Ahmad, IIT Indore |
6 | Numerical Linear Algebra: Matrix Norms and Condition Numbers: Definition and properties of matrix norms. Condition number and its significance. Ill-conditioning and numerical stability. Matrix Factorizations: Least squares approximation, Solving overdetermined and underdetermined systems. |
| Dr. Chandra Shekhar Nishad, IIIT Naya Raipur |
6 | Optimization Methods in ML: Introduction to Optimization Problems, Classification of Optimization Problem, Definition of Global and Local optima, Optimality conditions; Convex Programming Problems; Analytical Optimization Techniques: Lagrange’s Multipliers Methods, Karaush-Kuhn-Tucker (KKT) Method; Numerical Optimization Techniques: Steepest Descent Method, Conjugate Gradient Method, Newton’s Method, Quasi-Newton Methods; Penalty Function Methods. |
| Dr. Raghav Prasad Parouha, Indira Gandhi National Tribal University (IGNTU), Amarkantak | 6 | Advanced Optimization Methods in ML: Genetic Algorithms, Simulated Annealing, Particle Swarm Optimization, Cuckoo Search, Grey wolf optimizer, Whale optimization algorithm, Mayfly algorithm, Ant colony optimization, Case studies in different domains (healthcare, image processing, etc.) |
| Dr. Ramakrishna Bandi, IIIT Naya Raipur |
6 | Probability Theory: Introduction to Probability, Conditional Probability, Random Variables, Expectation and Variance, Common Probability Distributions, Joint Distributions, Law of Large Numbers, Central Limit Theorem, Markov Chains, Entropy. |
| Dr. Nabakumar Jana, IIT (ISM) Dhanbad |
6 | Statistical Methods for Data Science: Data Visualization, Descriptive Statistics, Sampling & Monte Carlo Methods, Statistical Inference (Both Likelihood based and Bayesian), Linear and Logistic Regression, Dimension Reduction Techniques, Support Vector Machines, Linear Discriminant Analysis, Unsupervised learning. Case studies in different domains (healthcare, finance, etc.) |
References:
- Gilbert Strang, Linear Algebra and its Applications, Cengage India Private Limited, 4th Edn., 2005.
- H. Anton and C. Rorres, Elementary Linear Algebra, John Wiley and Sons Inc., 11th Edn., 2013.
- L. N. Trefethen and David Bau, Numerical Linear Algebra, SIAM, 1997.
- B. N. Datta, Numerical Linear Algebra and Applications, 2nd Edn., SIAM, 2010.
- S. M. Ross, A First Course in Probability, Pearson Education, 9th Edn., 2019.
- Introduction to Probability and Statistics for Engineers and Scientists, Academic PressInc, 5th Edn., 2014
- R.E. Walpole, R.H. Myers, S.L. Myers, K.E. Ye., Probability and Statistics for Engineers and Scientists, Pearson Education India, 9th Edn., 2013.
- Singiresu S Rao, Engineering Optimization Theory and Practice, New Age, 4th Edn., 2023.
- Kalyanmoy Deb, Optimization for Engineering Design, PHI, 2nd Edn., 2021.
- S. Sra, S. Nowozin and S.J. Wright, Optimization for Machine Learning, MIT Press, 2011.
Name of the tutors:
| S. No. | Name | Affiliation |
| 1. | Dr. Krishnanand Vishwakarma | International Institute of Information Technology, Naya Raipur (IIIT-NR), Chhattisgarh, India |
| 2. | Dr. Sachchida Nand Mishra | International Institute of Information Technology, Naya Raipur (IIIT-NR), Chhattisgarh, India |
| 3. | Dr. Punit Jain | Pandit Deendayal Energy University (PDEU) Gandhinagar, India |
| 4. | Mr. Sanjeev Dwivedi | International Institute of Information Technology, Naya Raipur (IIIT-NR), Chhattisgarh, India |
| 5. | Mr. Md. Mentu | International Institute of Information Technology, Naya Raipur (IIIT-NR), Chhattisgarh, India |
Time Table
| Date, Days | Lecture 1 9:00- 10:00 |
10:00 to 10:30 |
Lecture 2 10:30- 11:30 |
11:30-12:00 | Lecture 3 12:00- 1:00 |
1:00 - 2:30 | Lab- 1 2:30- 3:30 |
3:30- 4:00 | Lab- 2 4:00- 5:00 |
5:00- 5:30 |
| (Speaker’ s name) | Tea | (Speaker’s name) | Tea | (Speaker’s name) | Lunch | (Tutor’s name ) | Tea | (Tutor’s name) | Snacks | |
| 02-06- 2025 Monday |
MKC | SSA | MKC | MKC, PJ | SSA , SD | |||||
| 03-06- 2025 Tuesday |
SSA | MKC | SSA | MKC, PJ | SSA , SD | |||||
| 04-06- 2025 Wednesday | MKC | SSA | MKC | MKC, PJ | SSA , SD | |||||
| 05-06- 2025 Thursday |
SSA | MKC | SSA | MKC, PJ | SSA , SD | |||||
| 06-06- 2025 Friday |
CSN | RPP | RPP | CSN,SD | RPP, PJ | |||||
| 07-06- 2025 Saturday |
CSN | RPP | RPP | CSN,SN M | RPP, SNM | |||||
| Sunday Off | ||||||||||
| 09-06- 2025 Monday |
CSN | RPP | RPP | CSN,SN M | RPP, SNM | |||||
| 10-06- 2025 Tuesday |
CSN | RKB | CSN | CSN,M S M | RKB, KV | |||||
| 11-06- 2025 Wednesday | CSN | RKB | RKB | CSN,M S M | RKB, KV | |||||
| 12-06- 2025 Thursday |
NKJ | RKB | NKJ | NKJ,MSM | RKB, KV | |||||
| 13-06- 2025 Friday |
NKJ | RKB | NKJ | NKJ,MSM | RKB, KV | |||||
| 14-06- 2025 Saturday |
NKJ | RKB | NKJ | NKJ,MSM | RKB, KV | Valedict or y Session | ||||
Full forms for the abbreviations of speakers and tutors:
Speakers:
- Dr. Mithilesh Kumar Chaube (MKC) https://www.iiitnr.ac.in/content/mithilesh-kumar-chaube
- Dr. Ramakrishna Bandi (RKB) https://scholar.google.co.in/citations?user=Mb8ComgAAAAJ&hl=en
- Dr. Chandra Shekhar Nishad (CSN) https://sites.google.com/site/csnishadiit/home?authuser=0
- Prof. Sk. Safique Ahmad (SSA) https://www.iiti.ac.in/people/~safique/
- Dr. Nabakumar Jana (NKJ) https://scholar.google.co.in/citations?user=8FJMsEwAAAAJ&hl=en
- Dr. Raghav Prasad Parouha (RPP) https://scholar.google.co.in/citations?user=talhHfQAAAAJ&hl=en
Tutors:
- Dr. Sachchida Nand Mishra (SNM) https://www.iiitnr.ac.in/node/3507
- Dr. Krishnanand Vishwakarma (KV) https://www.iiitnr.ac.in/node/3357
- Dr. Punit Jain (PJ) https://scholar.google.co.in/citations?user=5OIuHIQAAAAJ&hl=en
- Mr. Sanjeev Dwivedi (SD): Research Scholar, IIIT Naya Raipur
- Mr. Md. Sk Mentu (MSM): Research Scholar, IIIT Naya Raipur