Direkt zum Inhalt springen
Computer Vision Group
TUM Department of Informatics
Technical University of Munich

Technical University of Munich



Convex Optimization for Machine Learning and Computer Vision (IN2330) (2h + 2h, 6 ECTS)

- The post-exam review (Klausureinsicht) for the repeat exam will take place on Thursday, November 2nd from 11:00 - 12:00 in the room 02.07.011B.
- The post-exam review (Klausureinsicht) will take place on Wednesday, August 23th from 16:00 - 18:00 in the room 02.09.023.

Many important machine learning, computer vision and image processing problems can be cast as convex energy minimization problems, e.g. training of SVMs, logistic regression, low-rank and sparse matrix decomposition, denoising, segmentation, or multiframe blind deconvolution. In this lecture we will discuss first order convex optimization methods to implement and solve the aforementioned problems efficiently. Particular attention will be paid to problems including constraints and non-differentiable terms, giving rise to methods that exploit the concept of duality such as the primal-dual hybrid gradient method or the alternating directions methods of multipliers. This lecture will cover the mathematical background needed to understand why the investigated methods converge as well as the efficient practical implementation.

We will cover the following topics:

Elements in convex analysis

  • Convex set and convex function
  • Existence and uniqueness of minimizers
  • Subdifferential
  • Convex conjugate
  • Duality

Numerical methods

  • Gradient-based methods, Majorization-minimization algorithm, line search method
  • Proximal algorithms, primal-dual hybrid gradient method, alternating direction method of multipliers
  • Convergence analysis
  • Acceleration techniques

Bilevel optimization

  • Generalized implicit function theorem
  • Adjoint approach for numerical solution

Example applications in machine learning and computer vision include

  • Low-rank and sparse matrix decomposition
  • Training of SVMs, Logistic regression
  • Total-variation image restoration
  • Image segmentation
  • Parameter learning
  • Implementation in MATLAB and Python


Location: 02.09.023
Time and Date: Wednesday 16:15 - 18:00
Lecturer: Dr. Tao Wu
Start: April 26th, 2017
The lecture is held in English.


Location: 02.09.023
Time and Date: Monday 12:15 - 14:00
Organization: Thomas Möllenhoff, Emanuel Laude
Start: May 8th, 2017
The exercise sheets consist of two parts, theoretical and programming exercises. The upcoming exercise sheets will be made available before the lecture each Wednesday, and you have one week to solve it. Please hand in your solution to the theory exercises after the lecture on Wednesday. The solutions will be discussed in the Monday exercise class the week after. Please submit the programming solutions as a zip file with filename "matriculationnumber_firstname_lastname.zip" ONLY(!) containing your .m-files (no material files) via email to cvx4cv-ss17@vision.in.tum.de until Wednesday 23:59. Please remember to write CLEAN(!), COMMENTED(!) code! You are allowed to work on the exercise sheets in groups of two students.

The exercise sheets can be accessed here.


By achieving at least 60% of all possible points on the exercise sheets you can obtain a bonus of 0.3 in the final exam. Note that you can neither improve a 1.0 nor a 5.0.


Location: Room 5620.01.101 (101, Interims Hörsaal 1)
Time and Date: Wednesday, 9th of August, 2017, 13.30h-15.30h.

You may only use standard writing materials and one handwritten double-sided A4 sheet of notes. You are not allowed to use any electronic devices.

Lecture Material

Course material (slides and exercise sheets) can be accessed here.

Send us an email if you need the password.

Rechte Seite

Informatik IX
Chair of Computer Vision & Artificial Intelligence

Boltzmannstrasse 3
85748 Garching info@vision.in.tum.de

Follow us on:
CVG Group DVL Group



Bernt Schiele (Max Planck Institute for Informatics) will give a talk in the TUM AI lecture series on June 10th, 3pm! Livestream

French-German Machine Learning Symposium

French-German Machine Learning Symposium

The French-German Machine Learning Symposium aims to strengthen interactions and inspire collaborations between both countries. We invited some of the leading ML researchers from France and Germany to this two-day symposium to give a glimpse into their research, and engage in discussions on the future of machine learning and how to strengthen research collaborations in ML between France and Germany.

The list of speakers includes Yann LeCun, Cordelia Schmid, Jean-Bernard Lasserre, Bernhard Schölkopf, and many more! For the full program please visit the webpage.


Ron Kimmel (Technion - Israel Institute of Technology) will give a talk in the TUM AI lecture series on May 6th, 3pm! Livestream


4Seasons Dataset: We have released a novel dataset for benchmarking multi-weather SLAM in autonomous driving.


Hao Li (Pinscreen) will give a talk in the TUM AI lecture series on April 22nd, 8pm! Livestream