Inferring Local Homology from Sampled Stratified Spaces. - Paul Bendich; David Cohen-Steiner; Herbert Edelsbrunner; John Harer; Dmitriy Morozov (FOCS, 2007)

Stratification Learning through Homology Inference. - Paul Bendich; Sayan Mukherjee 001; Bei Wang 001 (AAAI Fall Symposium: Manifold Learning and Its Applications, 2010)

The Robustness of Level Sets. - Paul Bendich; Herbert Edelsbrunner; Dmitriy Morozov; Amit K. Patel (ESA (1), 2010)

Persistent Homology under Non-uniform Error. - Paul Bendich; Herbert Edelsbrunner; Michael Kerber; Amit K. Patel (MFCS, 2010)

Computing Robustness and Persistence for Images. - Paul Bendich; Herbert Edelsbrunner; Michael Kerber (IEEE Trans. Vis. Comput. Graph., 2010)

Homology and Robustness of Level and Interlevel Sets - Paul Bendich; Herbert Edelsbrunner; Dmitriy Morozov; Amit K. Patel (CoRR, 2011)

Persistent Intersection Homology. - Paul Bendich; John Harer (Found. Comput. Math., 2011)

Local homology transfer and stratification learning. - Paul Bendich; Bei Wang 001; Sayan Mukherjee 001 (SODA, 2012)

A point calculus for interlevel set homology. - Paul Bendich; Sergio Cabello; Herbert Edelsbrunner (Pattern Recognit. Lett., 2012)

Probabilistic Fréchet Means and Statistics on Vineyards. - Elizabeth Munch; Paul Bendich; Katharine Turner; Sayan Mukherjee 001; Jonathan Mattingly; John Harer (CoRR, 2013)

Multi-scale local shape analysis and feature selection in machine learning applications. - Paul Bendich; Ellen Gasparovic; John Harer; Rauf Izmailov; Linda Ness (IJCNN, 2015)

Cover Song Identification with Timbral Shape Sequences. - Christopher J. Tralie; Paul Bendich (ISMIR, 2015)

Stabilizing the output of persistent homology computations. - Paul Bendich; Peter Bubenik (CoRR, 2015)

Geometric Models for Musical Audio Data. - Paul Bendich; Ellen Gasparovic; John Harer; Christopher J. Tralie (SoCG, 2016)

Scaffoldings and Spines: Organizing High-Dimensional Data Using Cover Trees, Local Principal Component Analysis, and Persistent Homology. - Paul Bendich; Ellen Gasparovic; Christopher J. Tralie; John Harer (CoRR, 2016)

Topological and statistical behavior classifiers for tracking applications. - Paul Bendich; Sang Peter Chin; Jesse Clarke; Jonathan deSena; John Harer; Elizabeth Munch; Andrew Newman; David Porter; David Rouse; Nate Strawn; Adam Watkins (IEEE Trans. Aerosp. Electron. Syst., 2016)

Supervised Learning of Labeled Pointcloud Differences via Cover-Tree Entropy Reduction. - Abraham D. Smith; Paul Bendich; John Harer; Jay Hineman (CoRR, 2017)

Geometric Cross-Modal Comparison of Heterogeneous Sensor Data. - Christopher J. Tralie; Abraham D. Smith; Nathan Borggren; Jay Hineman; Paul Bendich; Peter Zulch; John Harer (CoRR, 2017)

Multi-scale Geometric Summaries for Similarity-based Sensor Fusion. - Christopher J. Tralie; Paul Bendich; John Harer (CoRR, 2018)

Graph Spectral Embedding for Parsimonious Transmission of Multivariate Time Series. - Lihan Yao; Paul Bendich (CoRR, 2019)

Geometric Fusion via Joint Delay Embeddings. - Elchanan Solomon; Paul Bendich (FUSION, 2020)

Stabilizing the unstable output of persistent homology computations. - Paul Bendich; Peter Bubenik; Alexander Wagner (J. Appl. Comput. Topol., 2020)

A Fast and Robust Method for Global Topological Functional Optimization. - Elchanan Solomon; Alexander Wagner; Paul Bendich (AISTATS, 2021)

Improving Metric Dimensionality Reduction with Distributed Topology. - Alexander Wagner; Elchanan Solomon; Paul Bendich (CoRR, 2021)

Topological Simplification of Signals for Inference and Approximate Reconstruction. - Gary Koplik; Nathan Borggren; Sam Voisin; Gabrielle Angeloro; Jay Hineman; Tessa Johnson; Paul Bendich (CoRR, 2022)

A Convolutional Persistence Transform. - Elchanan Solomon; Paul Bendich (CoRR, 2022)

From geometry to topology: Inverse theorems for distributed persistence. - Elchanan Solomon; Alexander Wagner; Paul Bendich (J. Comput. Geom., 2022)

Topological Parallax: A Geometric Specification for Deep Perception Models. - Abraham D. Smith; Michael J. Catanzaro; Gabrielle Angeloro; Nirav Patel; Paul Bendich (NeurIPS, 2023)

Implications of data topology for deep generative models. - Yinzhu Jin; Rory McDaniel; N. Joseph Tatro; Michael J. Catanzaro; Abraham D. Smith; Paul Bendich; Matthew B. Dwyer; P. Thomas Fletcher (Frontiers Comput. Sci., 2024)

Convolutional persistence transforms. - Yitzchak Elchanan Solomon; Paul Bendich (J. Appl. Comput. Topol., 2024)