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Next talk in the Stochastics Colloquium:
25.04.2018, 10:15, Dr. Bo Lin (Institut Mittag-Leffler, Schweden)

"The geometry of phylogenetic tree spaces" (Abstract).
Dr. Yoav Zemel, EPF Lausanne, spents SNF Early Postdoc Mobility fellowship at IMS: The IMS welcomes Dr. Yoav Zemel, who is spending with us an 18-months research visit from February 1st, 2018 to July 31st, 2019. Dr. Zemel is funded by a Swiss National Science Foundation Early Postdoc Mobility fellowship for the project Uncertainty Quantification for Optimal Transport mentored by Prof. Axel Munk (more information is available here).
DFG HU 1575/4

DFG HU 1575/4
Statistics of Riemannian metrics and biomedical gait analysis

Description:

This research program is inspired by the "geodesic hypothesis" of Prof. Dr. Le und Prof. Dr. Kume (Univ. Nottingham und Univ. Kent, 2000) stating that "nature tends to move along geodesics". The validity of this hypothesis allows employing novel non-Euclidean statistical methodology developed among others by the Göttingen research group "Statistics in Non-Euclidean Spaces". In collaboration with the School of Rehabilitation Science (McMaster Univ., Canada) this research aims at new motion models for the knee joint that are superior to contemporary models due to increased robustness under marker misplacement. The data encountered are highly non-linear and a suitable Riemannian structure is not obvious. This mathematical part of this research aims at developing a statistical theory for the estimation of Riemannian metrics. The applied part aims to contribute fundamentally to improve diagnostic methods (e.g. early diagnostics of knee osteoarthritis and cruciate ligament insufficiencies as well as classification of early cerebral palsies in children) and facilitate the choice of critical therapeutic interventions.