Mathematics of Information

Prof. Dr. Helmut Bölcskei

Offered in:

Basic information:

Lecture:Thursday, 9:15-12:00, live broadcast on the ETH video portal. The first lecture takes place on Thursday 25 Feb 2021, 9:15-12:00.
Discussion session:   Monday, 14:15-16:00, live broadcast on the ETH video portal. The first discussion session takes place on Monday 1 Mar 2021, 14:15-16:00.
Instructor: Prof. Dr. Helmut Bölcskei
Teaching assistants: Thomas Allard, Recep Gül
Office hours: Monday, 16:15-17:15, via Zoom. Please contact the TAs for their Zoom IDs.
Lecture notes:Detailed lecture and exercise notes and problem sets with documented solutions will be made available as we go along.
Credits: 8 ECTS credits

Lecture Recordings:

The recordings of the lecture will be available the next day in the morning on the ETH video portal.

Course structure


We will post important announcements, links, and other information here in the course of the semester, so please check back often!

Course Info

The class focuses on mathematical aspects of information science and learning theory.

We encourage students who are interested in mathematical data science to take both this course and "401-4944-20L Mathematics of Data Science" by Prof. A. Bandeira. The two courses are designed to be complementary.

H. Bölcskei and A. Bandeira


This course is aimed at students with a background in linear algebra, probability, and basic functional analysis. In particular, familiarity with Hilbert spaces is expected on the level of the "Hilbert spaces" chapter posted below (excluding the appendices).

Lecture and exercise notes

Lecture and exercise handwritten notes

Homework Assignments

There will be 5 homework assignments. You can hand in your solutions and get feedback from us, but it is not mandatory to turn in solutions. Complete solutions to the homework assignments will be posted on the course web page.

Homework Problem Sets

Problems Solutions
Homework 1 Solutions to Homework 1
Homework 2 Solutions to Homework 2
Homework 3 Solutions to Homework 3
Homework 4 Solutions to Homework 4
Homework 5 Solutions to Homework 5


Previous years' exams and solutions

Material for the exam

Here is the material that you have to prepare for the exam:

Recommended reading

If you want to go into more depth or if you need additional background material, please check out these books: