Paul Bendich

Publication Activity (10 Years)

Years Active: 2007-2023
Publications (10 Years): 23

Top Topics

Spectral Embedding

Delaunay Triangulations

Laplace Beltrami

Persistent Homology

Top Venues

Publications

Abraham D. Smith, Michael J. Catanzaro, Gabrielle Angeloro, Nirav Patel, Paul Bendich
Topological Parallax: A Geometric Specification for Deep Perception Models. CoRR (2023)
Abraham D. Smith, Michael J. Catanzaro, Gabrielle Angeloro, Nirav Patel, Paul Bendich
Topological Parallax: A Geometric Specification for Deep Perception Models. NeurIPS (2023)
Elchanan Solomon, Paul Bendich
A Convolutional Persistence Transform. CoRR (2022)
Gary Koplik, Nathan Borggren, Sam Voisin, Gabrielle Angeloro, Jay Hineman, Tessa Johnson, Paul Bendich
Topological Simplification of Signals for Inference and Approximate Reconstruction. CoRR (2022)
Elchanan Solomon, Alexander Wagner, Paul Bendich
From Geometry to Topology: Inverse Theorems for Distributed Persistence. SoCG (2022)
Elchanan Solomon, Alexander Wagner, Paul Bendich
A Fast and Robust Method for Global Topological Functional Optimization. AISTATS (2021)
Elchanan Solomon, Alexander Wagner, Paul Bendich
From Geometry to Topology: Inverse Theorems for Distributed Persistence. CoRR (2021)
Alexander Wagner, Elchanan Solomon, Paul Bendich
Improving Metric Dimensionality Reduction with Distributed Topology. CoRR (2021)
Paul Bendich, Peter Bubenik, Alexander Wagner
Stabilizing the unstable output of persistent homology computations. J. Appl. Comput. Topol. 4 (2) (2020)
Elchanan Solomon, Paul Bendich
Geometric Fusion via Joint Delay Embeddings. FUSION (2020)
Elchanan Solomon, Paul Bendich
Geometric Fusion via Joint Delay Embeddings. CoRR (2020)
Elchanan Solomon, Alexander Wagner, Paul Bendich
A Fast and Robust Method for Global Topological Functional Optimization. CoRR (2020)
Lihan Yao, Paul Bendich
Graph Spectral Embedding for Parsimonious Transmission of Multivariate Time Series. CoRR (2019)
Christopher J. Tralie, Paul Bendich, John Harer
Multi-scale Geometric Summaries for Similarity-based Sensor Fusion. CoRR (2018)
Abraham Smith, Paul Bendich, John Harer, Jay Hineman
Supervised Learning of Labeled Pointcloud Differences via Cover-Tree Entropy Reduction. CoRR (2017)
Christopher J. Tralie, Abraham Smith, Nathan Borggren, Jay Hineman, Paul Bendich, Peter Zulch, John Harer
Geometric Cross-Modal Comparison of Heterogeneous Sensor Data. CoRR (2017)
Paul Bendich, Sang Peter Chin, Jesse Clarke, Jonathan deSena, John Harer, Elizabeth Munch, Andrew Newman, David Porter, David Rouse, Nate Strawn, Adam Watkins
Topological and statistical behavior classifiers for tracking applications. IEEE Trans. Aerosp. Electron. Syst. 52 (6) (2016)
Paul Bendich, Ellen Gasparovic, John Harer, Christopher J. Tralie
Geometric Models for Musical Audio Data. SoCG (2016)
Paul Bendich, Ellen Gasparovic, Christopher J. Tralie, John Harer
Scaffoldings and Spines: Organizing High-Dimensional Data Using Cover Trees, Local Principal Component Analysis, and Persistent Homology. CoRR (2016)
Paul Bendich, Ellen Gasparovic, John Harer, Rauf Izmailov, Linda Ness
Multi-scale local shape analysis and feature selection in machine learning applications. IJCNN (2015)
Christopher J. Tralie, Paul Bendich
Cover Song Identification with Timbral Shape Sequences. ISMIR (2015)
Paul Bendich, Peter Bubenik
Stabilizing the output of persistent homology computations. CoRR (2015)
Christopher J. Tralie, Paul Bendich
Cover Song Identification with Timbral Shape Sequences. CoRR (2015)
Paul Bendich, Ellen Gasparovic, John Harer, Rauf Izmailov, Linda Ness
Multi-Scale Local Shape Analysis and Feature Selection in Machine Learning Applications. CoRR (2014)
Paul Bendich, Sang Peter Chin, Jesse Clarke, Jonathan deSena, John Harer, Elizabeth Munch, Andrew Newman, David Porter, David Rouse, Nate Strawn, Adam Watkins
Topological and Statistical Behavior Classifiers for Tracking Applications. CoRR (2014)
Elizabeth Munch, Paul Bendich, Katharine Turner, Sayan Mukherjee, Jonathan Mattingly, John Harer
Probabilistic Fréchet Means and Statistics on Vineyards. CoRR (2013)
Paul Bendich, Sergio Cabello, Herbert Edelsbrunner
A point calculus for interlevel set homology. Pattern Recognit. Lett. 33 (11) (2012)
Paul Bendich, Bei Wang, Sayan Mukherjee
Local homology transfer and stratification learning. SODA (2012)
Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, Amit K. Patel
Homology and Robustness of Level and Interlevel Sets CoRR (2011)
Paul Bendich, John Harer
Persistent Intersection Homology. Found. Comput. Math. 11 (3) (2011)
Paul Bendich, Sayan Mukherjee, Bei Wang
Stratification Learning through Homology Inference. AAAI Fall Symposium: Manifold Learning and Its Applications (2010)
Paul Bendich, Herbert Edelsbrunner, Michael Kerber, Amit K. Patel
Persistent Homology under Non-uniform Error. MFCS (2010)
Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, Amit K. Patel
The Robustness of Level Sets. ESA (1) (2010)
Paul Bendich, Herbert Edelsbrunner, Michael Kerber
Computing Robustness and Persistence for Images. IEEE Trans. Vis. Comput. Graph. 16 (6) (2010)
Paul Bendich, David Cohen-Steiner, Herbert Edelsbrunner, John Harer, Dmitriy Morozov
Inferring Local Homology from Sampled Stratified Spaces. FOCS (2007)