The Image Group – University of Copenhagen

The Image Group
Information Geometry PhD Course

PhD Course

Information Geometry in Learning and Optimization

Basic informationLecturesPractical sessionsBackground


September 22-26 2014


Københavns Universitet, Njalsgade 128, Bygning (building) 27, Lokal (room): 27.0.17

The lectures are at the south campus of the University of Copenhagen, very close to the Metro station Islands Brygge. Room 27.0.17 in building 27 is on the ground floor. Click here for a map. See also Google maps.

Preliminary program

Click here for the preliminary program in pdf format, and here for details about the lectures.

Social activities

  • Monday: Pizza 17:15. Leaving for Vor Fbyrue Plads metro at 18:20. Guided tour of the old university including dungeons at 19:00.
  • Wednesday: Bus to Nyhavn at 15:20, boat tour 16:00-17:00, bus to Nørrebro bryghus (NB) 17:20. Guided tour of NB at 18:00, dinner at NB 19:00.

Confirmed speakers

Suggested reading

  • Amari, Shun-Ichi. Natural gradient works efficiently in learning. Neural Computation 10, 2 (1998): 251-276.
  • Amari, Shun-Ichi. Information geometry on hierarchy of probability distributions IEEE Transactions on Information Theory 47, 5 (2001):1701-1711
  • Amari, Shun-ichi, and Hiroshi Nagaoka. Methods of information geometry. Vol. 191. American Mathematical Soc., 2007
  • Hansen, Nikolaus. The CMA Evolution Strategy: A Tutorial, 2011
  • Ollivier, Yann, Ludovic Arnold, Anne Auger, and Nikolaus Hansen. Information-Geometric Optimization Algorithms: A Unifying Picture via Invariance Principles. arXiv:1106.3708
  • Peters, Jan, and Stefan Schaal. Natural actor critic. Neurocomputing 71, 7-9 (2008):1180-1190
  • Sueli I. R. Costa, Sandra A. Santos, and Joao E. Strapasson. Fisher information distance: a geometrical reading. arXiv:1210.2354


You can earn 2.5 ECTS if you hand in a short written report on information geometry and its (potential) use in your own (filed of) research. Please mail the report to Christian and Aasa after the summer school.


Copenhagen has many hotel opportunities; the following are affordable and close to the Department of Computer Science: Affordable downtown options:


The registration deadline has passed. For questions regarding your registration, please contact the organizers and/or Susan Nasirumbi Ipsen at