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Riemannian Geometric Statistics in Medical Image Analysis (Seminar)

If you are interested, please write a short e-mail to jonathan.schwarz@iwr.uni-heidelberg.de.

Registration

Please write a mail to jonathan.schwarz@iwr.uni-heidelberg.de until October 31st, 2020 if you want to participate.

Modalities

The Proseminar will take place every Friday from 4-6 pm starting in November.

General

If you want to participate in the seminar, you have to:

  • give a talk (using the board or slides …)
  • hand in a written summary latest a week after your talk
  • attend the other talks

If there are questions upcoming during the preparation of the talk, please don't hesitate to ask.

The Talk

You have to give a talk on your topic

  • The talk will be done in presents or via zoom (depending on the Covid situation)
  • You are free to choose any format for your presentation (slides or writing some notes during the presentation)
  • The talk should last between 20 and 30 minutes.
  • There will be a discussion session after your talk of around 5 to 10 minutes

Send the slides as PDF to jonathan.schwarz@iwr.uni-heidelberg.de the latest the day before your talk.

The Summary

You have to hand in a written summary of your topic the latest 7 days after your talk.

  • The summary should be created with LaTeX and should be handed in as a Pdf file.
  • I recommend the LNCS LaTeX Template, but you don't have to use it.
  • The summary should be between 2 and 4 pages long

Send the summary as PDF to jonathan.schwarz@iwr.uni-heidelberg.de.

Schedule

  • Submission slides: at least one day in advance of your presentation
  • Submission summary: one week after of your presentation

Paper

The Seminar will be based on the book *Riemannian Geometric Statistics in Medical Image Analysis*

  • SymNMF: nonnegative low-rank approximation of a similarity matrix for graph clustering by Kuang, Yun and Park, Journal of Global Optimization, 2015, pdf
  • k-MLE: A fast algorithm for learning statistical mixture models by Frank Nielsen, arXiv preprint, 2012, pdf
  • Wasserstein Dictionary Learning: Optimal Transport-Based Unsupervised Nonlinear Dictionary Learning by Schmitz et al., SIAM Journal on Imaging Sciences, 2018, pdf
  • Ising and Potts models on the hypercubic lattice by Duminil-Copin H., arXiv preprint arXiv:1707.00520, 2017 link (only one of the chapters 1, 2, 4, 5.1, 6.1)
  • Information geometry connecting Wasserstein distance and Kullback–Leibler divergence via the entropy-relaxed transportation problem by Shun-ichi Amari et. al., Information Geometry, Springer, 2018, pdf
  • Escort Evolutionary Game Theory by Marc Harper, arXiv, 2012, pdf