Taming numerical imprecision by adapting the KL divergence to negative probabilities

Simon Pfahler1, Peter Georg1, Rudolf Schill2, Maren Klever3, Lars Grasedyck3, Rainer Spang4, Tilo Wettig1

1 Department of Physics, University of Regensburg
2 Department of Biosystems Science and Engineering, ETH Zürich
3 Institute for Geometry and Applied Mathematics, RWTH Aachen University
4 Department of Informatics and Data Science, University of Regensburg

Correspondence: simon.pfahler@ur.de

Slides

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Paper

A paper explaining the method as well as the application in more detail is available here:
https://link.springer.com/article/10.1007/s11222-024-10480-y
https://arxiv.org/abs/2312.13021

Code availability

pRC: C++ library for efficient calculations in the Tensor Train format, open source

cMHN: C++ library to work with Mutual Hazard Networks in the Tensor Train format, soon to be open source

Funding

This work is supported by the German Research Foundation (DFG) through the projects "Tensorapproximationsmethoden zur Modellierung von Tumorprogression", "PUNCH4NFDI - Teilchen, Universum, Kerne und Hadronen für die NFDI", and "Striking a moving target: From mechanisms of metastatic organ colonization to novel systemic therapies".