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Michael J. Catanzaro
Michael J. Catanzaro
Senior Scientist, Geometric Data Analytics
Verified email at geomdata.com - Homepage
Title
Cited by
Cited by
Year
Kirchhoff's theorems in higher dimensions and Reidemeister torsion
MJ Catanzaro, VY Chernyak, JR Klein
Homology, Homotopy and Applications 17 (1), 165--189, 2015
322015
Generalized Tonnetze
MJ Catanzaro
Journal of Mathematics and Music 5 (2), 117-139, 2011
322011
Moduli spaces of Morse functions for persistence
MJ Catanzaro, JM Curry, BT Fasy, J Lazovskis, G Malen, H Riess, B Wang, ...
Journal of Applied and Computational Topology 4 (3), 353-385, 2020
262020
A higher Boltzmann distribution
MJ Catanzaro, VY Chernyak, JR Klein
Journal of Applied and Computational Topology 1 (2), 215-240, 2017
202017
From mathematics to medicine: A practical primer on topological data analysis (TDA) and the development of related analytic tools for the functional discovery of latent …
A Salch, A Regalski, H Abdallah, R Suryadevara, MJ Catanzaro, ...
PloS one 16 (8), e0255859, 2021
132021
Characteristic classes
RR Bruner, M Catanzaro, JP May
Unpublished notes,[Online]. Available: http://www. math. uchicago. edu/~ may …, 2012
11*2012
On Kirchhoff's theorems with coefficients in a line bundle
MJ Catanzaro, VY Chernyak, JR Klein
Homology, Homotopy and Applications 15 (2), 267--280, 2014
72014
Excited-state structure modifications due to molecular substituents and exciton scattering in conjugated molecules
H Li, MJ Catanzaro, S Tretiak, VY Chernyak
The journal of physical chemistry letters 5 (4), 641-647, 2014
72014
A Topological Study Of Stochastic Dynamics On CW Complexes
MJ Catanzaro
52016
Counting the number of excited states in organic semiconductor systems using topology
MJ Catanzaro, T Shi, S Tretiak, VY Chernyak
The Journal of chemical physics 142 (8), 2015
42015
Multiparameter persistent homology via generalized Morse theory
P Bubenik, MJ Catanzaro
arXiv preprint arXiv:2107.08856, 2021
32021
Stochastic dynamics of extended objects in driven systems: I. Higher-dimensional currents in the continuous setting
MJ Catanzaro, VY Chernyak, JR Klein
Chemical Physics 481, 5-18, 2016
22016
Fluctuations of cycles in a finite CW complex
MJ Catanzaro, VY Chernyak, JR Klein
Israel Journal of Mathematics 248 (1), 315-354, 2022
12022
Probability measures on graph trajectories
MJ Catanzaro, VY Chernyak, JR Klein
arXiv preprint arXiv:2104.13566, 2021
12021
Hypercurrents
MJ Catanzaro, VY Chernyak, JR Klein
arXiv preprint arXiv:2010.06783, 2020
12020
MVF Designer: Design and Visualization of Morse Vector Fields
Y Zhou, J Lazovskis, MJ Catanzaro, M Zabka, B Wang
arXiv preprint arXiv:1912.09580, 2019
12019
Stochastic dynamics of extended objects in driven systems II: Current quantization in the low-temperature limit
MJ Catanzaro, VY Chernyak, JR Klein
Chemical Physics 481, 19-27, 2016
12016
Finitely Presented Modules over the Steenrod Algebra in Sage
MJ Catanzaro
12011
Topological Parallax: A Geometric Specification for Deep Perception Models
A Smith, M Catanzaro, G Angeloro, N Patel, P Bendich
Advances in Neural Information Processing Systems 36, 2024
2024
Topological Data Analysis Captures Task-Driven fMRI Profiles in Individual Participants: A Classification Pipeline Based on Persistence
MJ Catanzaro, S Rizzo, J Kopchick, A Chowdury, DR Rosenberg, ...
Neuroinformatics, 1-18, 2023
2023
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Articles 1–20