Paul Bendich

According to our database, Paul Bendich authored at least 29 papers between 2007 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2024

Convolutional persistence transforms.

Yitzchak Elchanan Solomon, Paul Bendich

J. Appl. Comput. Topol., November, 2024

2023

Topological Parallax: A Geometric Specification for Deep Perception Models.

Abraham D. Smith, Michael J. Catanzaro, Gabrielle Angeloro, Nirav Patel, Paul Bendich

Proceedings of the Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, 2023

2022

From geometry to topology: Inverse theorems for distributed persistence.

Elchanan Solomon, Alexander Wagner, Paul Bendich

J. Comput. Geom., 2022

A Convolutional Persistence Transform.

Elchanan Solomon, Paul Bendich

CoRR, 2022

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

2021

Improving Metric Dimensionality Reduction with Distributed Topology.

Alexander Wagner, Elchanan Solomon, Paul Bendich

CoRR, 2021

A Fast and Robust Method for Global Topological Functional Optimization.

Elchanan Solomon, Alexander Wagner, Paul Bendich

Proceedings of the 24th International Conference on Artificial Intelligence and Statistics, 2021

2020

Stabilizing the unstable output of persistent homology computations.

Paul Bendich, Peter Bubenik, Alexander Wagner

J. Appl. Comput. Topol., 2020

Geometric Fusion via Joint Delay Embeddings.

Elchanan Solomon, Paul Bendich

Proceedings of the IEEE 23rd International Conference on Information Fusion, 2020

2019

Graph Spectral Embedding for Parsimonious Transmission of Multivariate Time Series.

Lihan Yao, Paul Bendich

CoRR, 2019

2018

Multi-scale Geometric Summaries for Similarity-based Sensor Fusion.

Christopher J. Tralie, Paul Bendich, John Harer

CoRR, 2018

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

Supervised Learning of Labeled Pointcloud Differences via Cover-Tree Entropy Reduction.

Abraham D. Smith, Paul Bendich, John Harer, Jay Hineman

CoRR, 2017

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

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

Geometric Models for Musical Audio Data.

Paul Bendich, Ellen Gasparovic, John Harer, Christopher J. Tralie

Proceedings of the 32nd International Symposium on Computational Geometry, 2016

2015

Stabilizing the output of persistent homology computations.

Paul Bendich, Peter Bubenik

CoRR, 2015

Cover Song Identification with Timbral Shape Sequences.

Christopher J. Tralie, Paul Bendich

Proceedings of the 16th International Society for Music Information Retrieval Conference, 2015

Multi-scale local shape analysis and feature selection in machine learning applications.

Paul Bendich, Ellen Gasparovic, John Harer, Rauf Izmailov, Linda Ness

Proceedings of the 2015 International Joint Conference on Neural Networks, 2015

2013

Probabilistic Fréchet Means and Statistics on Vineyards.

Elizabeth Munch, Paul Bendich, Katharine Turner, Sayan Mukherjee, Jonathan Mattingly, John Harer

CoRR, 2013

2012

A point calculus for interlevel set homology.

Paul Bendich, Sergio Cabello, Herbert Edelsbrunner

Pattern Recognit. Lett., 2012

Local homology transfer and stratification learning.

Paul Bendich, Bei Wang, Sayan Mukherjee

Proceedings of the Twenty-Third Annual ACM-SIAM Symposium on Discrete Algorithms, 2012

2011

Persistent Intersection Homology.

Paul Bendich, John Harer

Found. Comput. Math., 2011

Homology and Robustness of Level and Interlevel Sets

Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, Amit K. Patel

CoRR, 2011

2010

Computing Robustness and Persistence for Images.

Paul Bendich, Herbert Edelsbrunner, Michael Kerber

IEEE Trans. Vis. Comput. Graph., 2010

Persistent Homology under Non-uniform Error.

Paul Bendich, Herbert Edelsbrunner, Michael Kerber, Amit K. Patel

Proceedings of the Mathematical Foundations of Computer Science 2010, 2010

The Robustness of Level Sets.

Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, Amit K. Patel

Proceedings of the Algorithms, 2010

Stratification Learning through Homology Inference.

Paul Bendich, Sayan Mukherjee, Bei Wang

Proceedings of the Manifold Learning and Its Applications, 2010

2007

Inferring Local Homology from Sampled Stratified Spaces.

Paul Bendich, David Cohen-Steiner, Herbert Edelsbrunner, John Harer, Dmitriy Morozov

Proceedings of the 48th Annual IEEE Symposium on Foundations of Computer Science (FOCS 2007), 2007