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Christian Bock

4 accepted papers

2020

Uncovering the Topology of Time-Varying fMRI Data using Cubical Persistence

NeurIPS 2020spotlight

Functional magnetic resonance imaging (fMRI) is a crucial technology for gaining insights into cognitive processes in humans. Data amassed from fMRI measurements result in volumetric data sets that vary over time. However, analysing such data presents a challenge due to the large degree of noise and…

2019

A Persistent Weisfeiler-Lehman Procedure for Graph Classification

ICML 2019oral

The Weisfeiler–Lehman graph kernel exhibits competitive performance in many graph classification tasks. However, its subtree features are not able to capture connected components and cycles, topological features known for characterising graphs. To extract such features, we leverage propagated node l…

2019

Neural Persistence: A Complexity Measure for Deep Neural Networks Using Algebraic Topology

ICLR 2019poster

While many approaches to make neural networks more fathomable have been proposed, they are restricted to interrogating the network with input data. Measures for characterizing and monitoring structural properties, however, have not been developed. In this work, we propose neural persistence, a compl…