4 citations · 5 across the 4 of their papers we have counts for
7 papers
Operational Abstractions of Neural Network Concepts via Topological Representations
Mathieu Pont, Christoph Garth
Concept-based methods provide a semantic level for interpreting and manipulating learned representations, but existing editing approaches are typically specialized to particular in…
Region-Aware Wasserstein Distances of Persistence Diagrams and Merge Trees
Mathieu Pont, Christoph Garth
This paper presents a generalization of the Wasserstein distance for both 0th persistence diagrams and merge trees [21], [68] that takes advantage of the regions of their topologic…
A Practical Solver for Scalar Data Topological Simplification
Mohamed Kissi, Mathieu Pont, Joshua A. Levine +1
This paper presents a practical approach for the optimization of topological simplification, a central pre-processing step for the analysis and visualization of scalar data. Given…
Merge Tree Geodesics and Barycenters with Path Mappings
Florian Wetzels, Mathieu Pont, Julien Tierny +1
Comparative visualization of scalar fields is often facilitated using similarity measures such as edit distances. In this paper, we describe a novel approach for similarity analysi…
Wasserstein Auto-Encoders of Merge Trees (and Persistence Diagrams)
Mahieu Pont, Julien Tierny
This paper presents a computational framework for the Wasserstein auto-encoding of merge trees (MT-WAE), a novel extension of the classical auto-encoder neural network architecture…
Principal Geodesic Analysis of Merge Trees (and Persistence Diagrams)
Mathieu Pont, Jules Vidal, Julien Tierny
This paper presents a computational framework for the Principal Geodesic Analysis of merge trees (MT-PGA), a novel adaptation of the celebrated Principal Component Analysis (PCA) f…
Wasserstein Distances, Geodesics and Barycenters of Merge Trees
Mathieu Pont, Jules Vidal, Julie Delon +1
This paper presents a unified computational framework for the estimation of distances, geodesics and barycenters of merge trees. We extend recent work on the edit distance [106] an…