Give an example of a function that is
1. Lipschitz but not smooth
2. Smooth but not Lipschitz
3. Convex but neither smooth nor Lipschitz
From Understanding Machine Learning: From Theory to Algorithms,
1. 3.5: 2, 3
2. 4.5: 2
3. 12.6: 2, 3
From Convex Optimization
1. 2.1
2. 3.1

DS603: Robust Machine Learning

Elective, IIT Bombay, C-MInDS, 2025

Course Title: Robust Machine Learning
Instructor: Arjun Bhagoji
TA: Mohamad Hassan N C (mohamad.hassan@iitb.ac.in)
Time: Wednesday, Friday 9.30-11.00am
Room: LT103
Office Hours: 4.30-5.30pm on Wednesdays, CC120

Practice Problems for DS603

Elective, IIT Bombay, C-MInDS, 2025

Samples

Give an example of a function that is
1. Lipschitz but not smooth
2. Smooth but not Lipschitz
3. Convex but neither smooth nor Lipschitz
From Understanding Machine Learning: From Theory to Algorithms,
1. 3.5: 2, 3
2. 4.5: 2
3. 12.6: 2, 3
From Convex Optimization
1. 2.1
2. 3.1

DS606: Advances in Safety-Critical Machine Learning

Elective, IIT Bombay, C-MInDS, 2026

Course Title: Advances in Safety-Critical Machine Learning
Instructor: Arjun Bhagoji
TA: Anurag Deshpande, Prarabdh Shukla
Time: Wednesday, Friday 11.00-12.30am
Room: LT102
Office Hours: Wednesday 2-2.30pm

DS703: Introduction to Statistical Inference and Machine Learning

Core, IIT Bombay, C-MInDS, 2026

Course Title: Introduction to Statistical Inference and Machine Learning
Instructors: Parthe Pandit, Arjun Bhagoji
TA: Sreeranjini T M, Yash Sharma
Time: Monday, Tuesday, Thursday (11.35-12.30am)
Room: LT206
Office Hours: Arjun (2.30-3.30pm on Mondays in CC120/online), Parthe (4-5pm on Mondays in KR-320)