Mathematical Foundations of Artificial Intelligence and Machine Learning (2023)

Convener(s)


Name:	Prof. Shivaram Kalyanakrishnan
Mailing Address:	Professor IIT Bombay (CSE)
Email:	shivaram at cse.iitb.ac.in

Please Note: NCM Participants are requested to register in NCM website followed by registration in CEP website: http://www.cep.iitb.ac.in (through Google Chrome browser).
Shortlisted NCM participants will have to pay nominal course fee of Rs 1000 + 18% (GST) = Rs 1180
Last Date of receiving online application from participants is 31^st Jan 2023 for both NCM and CEP website

Background and Description
The last decade has witnessed the rise of Artificial Intelligence and Machine Learning (AI/ML), which has not only driven technological progress in a variety of sectors, but has also entered our daily lives. This recent growth spurt of AI/ML owes in large part to the emergence of large data sets, along with cheap sensing and computing hardware. Yet, the remarkable successes of the field must also be attributed to its strong mathematical foundations, which have been developed for over half a century. To obtain a deep understanding of AI/ML technology, it is essential to become familiar with its mathematical underpinnings.

This course will discuss a variety of topics in AI/ML, in each case presenting a mathematical model and accompanying solutions. Tasks considered will include supervised learning with linear and non-linear models, unsupervised learning, on-line learning, search, and knowledge representation. In turn, these tasks will be modeled and solved using building blocks such as vectors, differential calculus, probability, optimisation, algorithms and proofs, and linear algebra.

Dates:

Monday, February 20, 2023 - 19:00 to Friday, February 24, 2023 - 19:00

Venue:

Indian Institute of Technology Bombay

Venue Address:

Indian Institute of Technology Bombay, Powai
Mumbai-400076

Venue State:

Maharashtra

Venue City:

Mumbai

PIN:

400076

Chrono Order:

411

Syllabus:

Eligibility
The course is meant for students, teachers, and professionals who are interested in the conceptual foundations of AI/ML. Applicants must have an undergraduate degree in science, mathematics, or engineering. The laboratory will require programming in Python (a few tens of lines of code per exercise). Registrants must either have experience in programming or be willing to learn it independently (some basic tutorials will be provided).

Day 1

Lecture 1: Linear methods for classification
Lecture 2: Linear methods for regression
Lab: Perceptron
Lecture 3: Overview of AI/ML

Day 2

Lecture 1: Neural Networks: Representation
Lecture 2: Neural Networks: Training
Lab: Backpropagation
Lecture 3: To be decided

Day 3

Lecture 1: Support Vector Machines, Decision Trees, Nearest Neighbour Methods
Lecture 2: Clustering
Lab: K-means clustering
Lecture 3: To be decided

Day 4

Lecture 1: Uninformed search
Lecture 2: Informed search
Lab: Urban Navigation
Lecture 3: Invited talk – Preethi Jyothi

Day 5

Lecture 1: On-line learning
Lecture 2: Knowledge representation and reasoning
Lab: Bandits
Concluding session

Instructor
Shivaram Kalyanakrishnan

Teaching Assistants
    • Shreya Ilindra
    • Palti Ramya
    • Shabnam Sahay

Support
• NCM Office: office.ncm@iitb.ac.in, +91 22 2576 5451.

Note: Participants must bring their own laptops, which can connect to the Internet through WiFi. No special software is required to be installed.

Time Table:

The course will be held February 20–24 (Monday–Friday), with the following daily schedule.

9.30 a.m.–11.00 a.m.	Lecture 1
11.00 a.m.–11.20 a.m.	Break for tea
11.20 a.m.–12.50 p.m.	Lecture 2
12.50 p.m.–1.50 p.m.	Lunch
1.50 p.m.–3.50 p.m.	Lab
3.50 p.m.–4.10 p.m.	Break for tea
4.10 p.m.–5.10 p.m.	Lecture 3

    • Lectures will be held in SIC-201 KReSIT (see cell D3, building 18 in this map).
    • Labs will be held in the adjoining New CSE Building.
    • Tea and lunch will be provided in the third floor lobby, KReSIT.

Selected Applicants:

sr.n	SID	Full Name	Gender	Affiliation	Position in College / University	University/ Institute M.Sc./ M.A.	Ph.D. Degree Date
1	43645	Mr. Mahesh Sudhakar Naik	Male	SVKM's NMIMS Mukesh patel School of Technology Management & Engineering	Assistant professor	Madurai Kamaraj University	07/07/2019
2	43856	Ms Vanitha Archana M	Female	PSG College of Arts and Science	PhD	Dr. N. G. P. Arts and Science College
3	45191	Mr Mohanrasu S S	Male	Bharathiar University	PhD	Bharathiar University, Coimbatore
4	45246	Mr. Sumit Kumar Vishwakarma	Male	IIT Roorkee	PhD	Vinoba Bhave University, Hazaribagh, Jharkhand
5	45320	Ms. Neeshu Rathi	Female	IIT Roorkee	PhD	Kurukshetra University, Kurukshetra
6	45460	Mr. Narendra Kumar	Male	Indian Institute of Technology, Jodhpur	Research Scholar	M.Tech in Mathematics & Computing(IIT Patna)
7	45482	Ms. Aashu Kathairiya	Female	IIT ROORKEE	PhD	Rani Durgawati Vishwavidyalya Jabalpur, M.P.
8	45494	Mr. Deepak Kumar Yadav	Male	Rajiv Gandhi Institute of Petroleum Technology	PhD	Central University of Punjab
9	45524	Mr. Sahil Kalra	Male	IIT Indore	PhD	University of Delhi/ M.Sc.
10	45544	Mr. Haridarshan Kumar	Male	IIT Roorkee	PhD Student	IIT Kanpur
11	45719	Ms. Anjaly Anand	Female	NIT Calicut	PhD	M.Sc Tech in Mathematics and Scientific Computing, NIT Calicut
12	45753	Mr Vijayakumar Muthusamy	Male	Anna University Regional Campus Coimbatore	PhD	Bharathiar University
13	45762	Ms Karuna Panwar	Female	IIT ROORKEE, ROORKEE	PhD	M.Sc.
14	45763	Mr. Yogesh Kumar	Male	Indian Institute of Technology Roorkee	PhD	University of Lucknow, Lucknow
15	45764	Mr. Kanchan Rajwar	Male	Indian Institute of Technology Roorkee	PhD	University of Hyderabad
16	45838	Mr Aditya Sharma	Male	IIT Indore	phD	IIT INDORE
17	45897	Ms. Pooja Yadav	Female	BITS Pilani	PhD	Miranda House, University of Delhi
18	45928	Ms. Himanshi Khungar	Female	Indian Institute of Technology Indore	Research Scholar	Panjab University/M.Sc.
19	45985	Mr. Aby Jose	Male	NIT Calicut	PhD	MG University Kottayam