Applications of Linear Algebra in Machine Learning and Data Science (2026)

Convener(s)
Name: Neeldhara Misra M. Rajesh Kannan  R. Ratha Jeyalakshmi  R.Gurusamy
Mailing Address: Smt. Amba and Sri. V S Sastry Chair Associate Professor,
Computer Science and Engineering, Indian Institute of Technology, Gandhinagar.		 Associate professor,
Department of Mathematics,
Indian Institute of Technology Hyderabad.		 Professor and Head,
Mepco Schlenk Engineering College, Sivakasi		 Associate Professor, Mepco Schlenk Engineering College, Sivakasi
Email: neeldhara.m at iitgn.ac.in rajeshkannan at math.iith.ac.in rratha at mepcoeng.ac.in rgurusamy at mepcoeng.ac.in

Linear algebra is a fundamental mathematical tool with vast applications in various fields, including machine learning and data science. This Instructional School for Teachers (IST) aims to provide col- lege and university mathematics teachers with a comprehensive understanding of these applications. The program will cover both theoretical underpinnings and practical implementations, equipping teachers to effectively incorporate these topics into their curricula and research.
Objectives:

  • To enhance the participants’ understanding of the core concepts of linear algebra in the context of how they are applied in machine learning and data science.

  • To expose participants to the applications of linear algebra in machine learning and data science.

  • To provide hands-on experience with relevant software and tools (e.g., Python libraries: NumPy, SciPy, Scikit-learn, TensorFlow/PyTorch).

  • To equip participants with the ability to teach these applications to undergraduate and post- graduate students.

Dates: 

Monday, May 18, 2026 - 19:00 to Saturday, May 30, 2026 - 19:00

Venue: 

Venue Address: 

 

Department of Mathematics, Mepco Schlenk Engineering College, Sivakasi 626005, Tamil Nadu

 

Venue State: 

Venue City: 

PIN: 

626005

Syllabus: 

 

Name of the Speaker with affiliation

No. of Lectures

Detailed Syllabus

Prof. K. N. Raghavan
Professor, Krea University

6

1.Foundations of Linear Algebra for Data Science (Linear Algebra Recap)
This section covers the essential concepts of linear algebra, emphasizing those most relevant to data science. It will serve as a refresher and delve deeper into topics crucial for advanced applications.

        ◦ Vector spaces, subspaces, and linear transformations.
        ◦ Matrices, determinants, and eigenvalues/eigenvectors.
        ◦ Matrix decompositions (SVD, QR, etc.) and their applications.
        ◦ Norms, inner products, and orthogonality.
        ◦ Applications to systems of linear equations and least squares problems.
Prof. Neeldhara Misra
Associate Professor, IIT Gandhinagar		 12

2.Dimensionality Reduction and Linear Models 
This section combines techniques for reducing the dimensionality of high-dimensional data with the study of fundamental linear models in machine learning.

Dimensionality Reduction & Feature Extraction:

  • Principal Component Analysis (PCA).
  • Linear Discriminant Analysis (LDA).
  • Non-negative Matrix Factorization (NMF) and Independent Component Analysis (ICA).
  • Applications in image processing, signal processing, and data visualization.

 

Linear Models for Machine Learning:

  • Linear regression (ordinary least squares, ridge regression, lasso).
  • Logistic regression and support vector machines (SVMs).
  • Regularization techniques and optimization algorithms (e.g., gradient descent).

 

 
Prof. Palash Dey
Assistant Professor at IIT Kharagpur		 9

3.Advanced Topics and Emerging Applications
This section covers more advanced topics that build upon the foundational sections, including the role of linear algebra in modern deep learning and large-scale data analysis.

  • Tensor decompositions and their applications.
  •  Randomized linear algebra for large-scale data.
  •  Applications in recommender systems and natural language processing.
Prof. M. Rajesh Kannan
Associate Professor, IIT Hyderabad		 9

4.Spectral Methods in ML
This section introduces the application of spectral graph theory to clustering and data analysis, a powerful set of techniques in unsupervised learning.

         ◦Graphs, Adjacency matrices, and the Graph Laplacian (standard and normalized).
        ◦ Eigenvalues/eigenvectors of the Laplacian and their connection to graph properties.
        ◦ Graph partitioning problem.
        ◦ Spectral Clustering algorithms and their analysis.
        ◦ Laplacian Eigenmaps and dimensionality reduction.

 

 Course Associates:

  • Pragya Arora (IIT Gandhinagar)
  • Paras Arya (IIT Gandhinagar)
  • Saraswati Nanoti (IIT Gandhinagar)
  • Abhay Jayarajan (IIT Hyderabad)
  • Rahul Roy (IIT Hyderabad).
  • Mr. Mohana Rahul, IIT Hyderabad

Course Associates will assist with tutorial sessions and hands-on labs.

References
    1. Gilbert Strang: Linear Algebra and Learning from Data, Wellesley-Cambridge Press, 2019.
    2. Gene H. Golub and Charles F. Van Loan: Matrix Computations, 4th Edition, Johns Hopkins University Press.
    3. Marc Peter Deisenroth, A. Aldo Faisal, and Cheng Soon Ong: Mathematics for Machine Learning, Cambridge University Press, 2020.
    4. Trevor Hastie, Robert Tibshirani, and Jerome Friedman: The Elements of Statistical Learning: Data Mining, Inference, and Prediction, 2nd Edition, Springer.
    5. Ian Goodfellow, Yoshua Bengio, and Aaron Courville: Deep Learning, MIT Press.
    6. Ulrike von Luxburg: A Tutorial on Spectral Clustering, Statistics and Computing, Vol. 17, No. 4, 2007.
    7. Dan Spielman, Lecture notes on ”Spectral and Algebraic Graph Theory” (2025).
    8. Bojan Mohar, Some applications of Laplace eigenvalues of graphs, Graph symmetry (Montreal, PQ, 1996), NATO Adv. Sci. Inst. Ser. C: Math. Phys. Sci.,497, 225–275, Kluwer Acad. Publ., Dordrecht, 1997.

Time Table: 

 

Week -One

 

Date

9.30-11.00

11.00-11.30

11.30-1.00

1.00-2.30

2.30-3.30

3.30-4.00

4.00-5.00

18/05(Mon)

KNR

T

NM

L

KNR,PRA,PA

T

NM,SN,AJ

19/05(Tue)

KNR

T

NM

L

KNR,PRA,PA

T

NM,SN,AJ

20/05(Wed)

KNR

T

NM

L

KNR,PRA,PA

T

NM,SN,AJ

21/05(Thu)

KNR

T

NM

L

KNR,PRA,PA

T

NM,SN,AJ

22/05(Fri)

NM

T

NM

L

NM,PRA,PA

T

NM,SN,AJ

23/05(Sat)

NM

T

NM

L

NM,PRA,PA

T

NM,SN,AJ

 

 

Week-Two

Date

9.30-11.00

11.00-11.30

11.30-1.00

1.00-2.30

2.30-3.30

3.30-4.00

4.00-5.00

25/05(Mon)

PD

T

RK

L

PD,PRA,PA

T

RK,RR,MR

26/05(Tue)

PD

T

RK

L

PD,PRA,PA

T

RK,RR,MR

27/05(Wed)

PD

T

RK

L

PD,PRA,PA

T

RK,RR,MR

28/05(Thu)

PD

T

RK

L

PD,PRA,PA

T

RK,RR,MR

29/05(Fri)

PD

T

RK

L

PD,PRA,PA

T

RK,RR,MR

30/05(Sat)

PD

T

RK

L

PD,PRA,PA

T

RK,RR,MR

 

  • S1 : Section 1 (Foundations of Linear Algebra : Prof. K. N. Raghavan)
  • S2 : Section 2 (Dimensionality Reduction and Linear Models : Prof. Neeldhara Misra)
  • S3 : Section 3 (Advanced Topics : Prof. Palash Dey)
  • S4 : Section 4 (Spectral and Clustering Methods : Prof. M. Rajesh Kannan )
  • Lec : Lecture Session (1.5 hours)
  • Tut: Tutorial/Lab Session (1 hour)
  •  T : Tea
  •  L : Lunch
  •  KNR : Prof. K. N. Raghavan
  •  NM : Prof. Neeldhara Misra
  •  PD : Prof. Palash Dey
  •  RK : Prof. M. Rajesh Kannan
  •  PRA: Pragya Arora
  •  PA : Paras Arya
  •  SN : Saraswati Nanoti
  •  AJ : Abhay Jayarajan
  •  RR : Rahul Roy
  •  MR : Mohanarahul

 

 

 

 

Selected Applicants: 

  

Serial SID Full Name Gender Affiliation Position in College/University Year of Passing M.Sc./M.A Ph.D. Degree Date
1 67524 Mr. Muniyasamy M Male National Institute of Technology Karnataka PhD Research Scholar 2019  
2 67527 Dr. Jai Prakash Jaiswal Male Guru Ghasidas Vishwavidyalaya Professor 2007 26/06/2010
3 67532 Mr. Pal Bharatbhai Patel Male B. K. M. Science College, Valsad ADHOC Lecturer 2023  
4 67574 Mr. Susobhan Mazumdar Male St Joseph's University, Bengaluru Assistant Professor 2010  
5 67700 Dr Vanitha Archana M Female Yadava College Assistant Professor 2020 13/12/2025
6 67736 Dr. Santanu Bag Male Vivekananda College for Women Assistant Professor 2009 09/06/2015
7 67862 Dr. Muhammad Roshan Male SRM Institute of Science and Technology Assistant Professor 2019 08/07/2025
8 67865 Mr. Kaushik Marathe Male Government College Of Arts Science And Commerce Asst. Prof 2020  
9 67903 Dr. Askar Hussain Male Aligarh Muslim University, Aligarh-202002 Assistant Professor 2017 22/07/2023
10 67938 Dr Bhasker Reddy Kethireddy Male KLH University Assist prof 2006  
11 67951 Mr. Chetan Sanjay Patil Male SCHOOL OF TECHNOLOGY MANAGEMENT AND ENGINEERING, SVKM NMIMS GLOBAL UNIVERSITY DHULE Assistant Professor 2018  
12 67954 Dr Lalrinpuia Tlau Male National Institute of Technology Puducherry Assistant Professor 2014 21/05/2021
13 68030 Mr. Rahul Dattatraya Jejurkar Male School of Technology Management and Engineering, SVKM NMIMS Global University, Dhule Assistant Professor 2018  
14 68040 Ms Lakshmi Priya R Female Sri Sathya Sai Institute of Higher Learning Assistant Professor 2013  
15 68068 Dr. Bidwan Chakraborty Male NIT Puducherry Assistant Professor 2016 13/07/2022
16 68112 Mr. Bharani Dharan K Male Vellore Institute of Technology Assistant Professor Junior Grade 2 2020  
17 68145 Dr Yogalakshmi Thangaraj Female Vellore Institute of Technology Assistant Professor 2008 16/09/2014
18 68212 Mr Ullas R S Male Government College Kariavattom Assistant Professor 2018  
19 68246 Mr. Liju Alex Male Rajiv Gandhi Institute of Technology, Pampady, Kottayam Assistant Professor 2012 30/05/2024
20 68257 Dr Deepa Mathew Female St Josephs University Bengaluru Asst. Professor 2017 08/10/2021
21 68285 Dr. Anil Singh Male Maulana Azad Memorial College Assistant Professor 2012 30/03/2022
22 68346 Mrs Sinda Joy Female St. Joseph's College (Autonomous) Assistant Professor 2012  
23 68431 Ms. Amrutha Soman Female Government College Kariavattom Assistant Professor 2020  
24 68444 Dr Lian Mathew Female St. George's College, Aruvithura Assistant Professor 2017 03/04/2024
25 68501 Dr. Nisha Gupta Female Lakshmibai College, University of Delhi, Delhi. Associate Professor 2003 20/03/2010
26 68540 Dr Vishwanatha U B Male PROUDHADEVARAY INSTITUTE OF TECHNOLOGY Assistant Professor 2014 05/10/2019
27 68589 Ms. Anita Rani Devgan Female Chandigarh college of Technology Asst. Professor 2008  
28 68667 Dr. Pabitra Debnath Male St. Xavier's College, Kolkata Assistant Professor 2004 25/08/2020
29 68680 Dr. Banarsi Lal Male Cluster University of Jammu Assistant Professor 2009 11/10/2017
30 68693 Dr Deepanshi  Female St Joseph's University Assistant professor 2017 20/01/2024
  Waiting  List  
1 67540 Dr. Varshini Sandrasekaran Female Sri Eshwar College of Engineering Assistant Professor 2018  20/10/2023
2 67559 Ms. Aanchal . Female Banasthali Vidyapith PhD 2023  
3 67624 Dr. Keerthana Shri K S Female KPR Institute of Engineering and Technology Assistant Professor 2018 09/10/2024
4 67927 Mr. Gurukumaresan D Male Kongu Engineering College Assistant Professor 2004  
5 68172 Mr. Ramesh Babu M Male Indian Institute of Technology Madras PhD 2022  
6 68271 Mrs. Karpagavidya K Female National Institute of Technology Karnataka phD 2022  
7 68279 Mr. Murari Ray Male National Institute of Technology, Andhra Pradesh. PhD 2021  
8 68415 Ms Manali Krishnakant Kadam Female MES's The D. G. Ruparel College of Arts, Science and Commerce Asst Prof 2018  
9 68620 Ms Aparnaa M Female PSG College of Technology MSC Student    
10 68621 Dr. Mershia Rabuni J J Female SRM INSTITUTE OF SCIENCE AND TECHNOLOGY RAMAPURAM CHENNAI Assistant Professor 2019 03/01/2025
  Local  Participants
1 67818 Dr. Vinoth P Male Mepco Schlenk Engineering College Assistant Professor (Sl. Grade) 2009 09/12/2024
2 67861 Dr Geno Kadwin J Male Arul Anandar College Assistant professor 2008 05/01/2018
3 67874 Mrs. Santhiya K Female Sri Kaliswari College Asst.Professor 2021  
4 67930 Mrs Akila Saravanakumar Female The Standard Fireworks Rajaratnam college for women, Assistant Professor 2007  
5 68300 Dr. Vimalajenifer S Female Ayya Nadar Janaki Ammal College Assistant Professor 2015 27/01/2022
6 68452 Dr. Saranya N Female National Engineering College Assistant Professor 2013 09/12/2021
7 68491 Dr. Rajesh Kannan Alagarsamy Male Mepco Schlenk Engineering College Associate Professor 2001 03/10/2020
8 68628 Dr Manivannan P Male Mepco Schlenk Engineering College, Sivakasi Asso. Prof 2007 01/01/2026
9 68696 Mrs R. Muthulakshmi Female A.K.D.Dharmaraja women's College Assistant Professor 2020  
10 68707 Dr A Aruldoss Male Mepco Schlenk Engineering College Assistant Professor 2015 21/08/2023

 

 

How to Reach: 

TBA

School Short Name: 

alamlds

Last Date Application: 

Sunday, May 28, 2023

School Type: 

IST

Separate faculty form: 

0