Peter Bubenik

Computational Theory and Mathematics · 2006–2012

A researcher in the Science corpus: 3 papers; trusts 19 researchers and is trusted by 26 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 28 citations into it; #1,023 of 12,182 by trust here, #3,033 by citations
• Mathematical Physics — 18 citations into it; #3,219 of 8,562 by trust here, #3,335 by citations
• Computer Vision and Pattern Recognition — 12 citations into it
• Geometry and Topology — 6 citations into it
• Artificial Intelligence — 5 citations into it
• Radiology, Nuclear Medicine and Imaging — 5 citations into it

Whom Peter Bubenik trusts overall

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

1. Herbert Edelsbrunner
2. David Cohen-Steiner
3. Gunnar E. Carlsson
4. Afra Zomorodian
5. Robert J. Adler
6. Persi Diaconis
7. David Letscher
8. Robert Ghrist
9. Jonathan E. Taylor
10. Vin de Silva

Who trusts Peter Bubenik overall

1. Larry A. Wasserman
2. Omer Bobrowski
3. Frédéric Chazal
4. Yen-Chi Chen
5. Nina Otter
6. Jan Reininghaus
7. Sayan Mukherjee
8. Bertrand Michel
9. Robert J. Adler
10. M. A. Porter

Papers from Peter Bubenik's perspective

Ordered by how strongly the researchers Peter Bubenik 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. Topology and data
5. A statistical approach to persistent homology
6. Barcodes: The persistent topology of data
7. Topological Persistence and Simplification (Proceedings 41st Annual Symposium on Foundations of Computer Science)
8. Statistical topology via Morse theory, persistence and nonparametric estimation
9. Lipschitz Functions Have Lp-Stable Persistence (Foundations of Computational Mathematics)
10. Semi-Supervised Learning on Riemannian Manifolds

Their papers

• A statistical approach to persistent homology (2006) — 122 citations
• Statistical topology via Morse theory, persistence and nonparametric estimation (2009) — 56 citations
• Statistical topological data analysis using persistence landscapes (2012) — 1,037 citations