Frédéric Chazal

Computational Theory and Mathematics · 2009–2017

A researcher in the Science corpus: 9 papers; trusts 38 researchers and is trusted by 9 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 49 citations into it; #4,914 of 12,182 by trust here, #1,587 by citations
• Computer Vision and Pattern Recognition — 30 citations into it; #15,048 of 21,575 by trust here, #15,529 by citations
• Mathematical Physics — 26 citations into it; #5,544 of 8,562 by trust here, #1,438 by citations
• Applied Mathematics — 14 citations into it
• Geometry and Topology — 14 citations into it
• Computational Mechanics — 11 citations into it
• Radiology, Nuclear Medicine and Imaging — 10 citations into it
• Artificial Intelligence — 9 citations into it

Whom Frédéric Chazal trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. David Cohen-Steiner
2. Herbert Edelsbrunner
3. Afra Zomorodian
4. Gunnar E. Carlsson
5. Peter Bubenik
6. W. Crawley‐Boevey
7. Antonio Cuevas
8. Zixuan Cang
9. Sayan Mukherjee
10. Omer Bobrowski

Who trusts Frédéric Chazal overall

1. W. Crawley‐Boevey
2. Michael Usher
3. Vin de Silva
4. Christian Bick
5. Ellen Gasparovic
6. Yen-Chi Chen
7. Peter Bubenik
8. Chad Giusti
9. Primoz Skraba
10. Bertrand Michel

Papers from Frédéric Chazal's perspective

Ordered by how strongly the researchers Frédéric Chazal trusts endorse each paper. Same corpus, a different order for every researcher.

1. Stability of Persistence Diagrams (Discrete & Computational Geometry)
2. Computing Persistent Homology (SCG '04)
3. Persistence barcodes for shapes (Eurographics Symposium on Geometry Processing)
4. Topological Persistence and Simplification (Proceedings 41st Annual Symposium on Foundations of Computer Science)
5. Finding the Homology of Submanifolds with High Confidence from Random Samples (Discrete & Computational Geometry)
6. Lipschitz Functions Have Lp-Stable Persistence (Foundations of Computational Mathematics)
7. Topology and data
8. Topics in Optimal Transportation
9. A Probabilistic Theory of Pattern Recognition
10. Vines and vineyards by updating persistence in linear time (SCG '06)

Their papers

• Proximity of persistence modules and their diagrams (2009) — 536 citations
• Persistence stability for geometric complexes (2012) — 346 citations
• The Structure and Stability of Persistence Modules (2012) — 528 citations
• Estimating the reach of a manifold (2017) — 123 citations
• A weighted k-nearest neighbor density estimate for geometric inference (2011) — 79 citations
• Metric graph reconstruction from noisy data (2011) — 659 citations
• An Introduction to Topological Data Analysis: Fundamental and Practical Aspects for Data Scientists (2017) — 820 citations
• The observable structure of persistence modules (2014) — 58 citations
• Map-based exploration of intrinsic shape differences and variability (2013) — 164 citations