Jose A. Perea | DeepAI

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Featured Co-authors

Elizabeth Munch
24 publications
Firas A. Khasawneh
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Christopher J. Tralie
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Boyan Xu
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Michael Lin
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Luis Scoccola
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∙ 04/28/2023

Topological Data Analysis of Electroencephalogram Signals for Pediatric Obstructive Sleep Apnea

Topological data analysis (TDA) is an emerging technique for biological ...

0 Shashank Manjunath, et al. ∙

∙ 12/16/2022

Learning on Persistence Diagrams as Radon Measures

Persistence diagrams are common descriptors of the topological structure...

0 Alex Elchesen, et al. ∙

∙ 12/14/2022

Toroidal Coordinates: Decorrelating Circular Coordinates With Lattice Reduction

The circular coordinates algorithm of de Silva, Morozov, and Vejdemo-Joh...

0 Luis Scoccola, et al. ∙

∙ 06/13/2022

Fiberwise dimensionality reduction of topologically complex data with vector bundles

Datasets with non-trivial large scale topology can be hard to embed in l...

0 Luis Scoccola, et al. ∙

∙ 04/25/2021

Move Schedules: Fast persistence computations in sparse dynamic settings

The standard procedure for computing the persistent homology of a filter...

0 Matt Piekenbrock, et al. ∙

∙ 04/15/2021

Approximate and discrete Euclidean vector bundles

We introduce ε-approximate versions of the notion of Euclidean vector bu...

0 Luis Scoccola, et al. ∙

∙ 03/08/2021

Sliding Window Persistence of Quasiperiodic Functions

A function is called quasiperiodic if its fundamental frequencies are li...

0 Hitesh Gakhar, et al. ∙

∙ 10/13/2019

Adaptive template systems: Data-driven feature selection for learning with persistence diagrams

Feature extraction from persistence diagrams, as a tool to enrich machin...

0 Luis Polanco, et al. ∙

∙ 10/12/2019

Künneth Formulae in Persistent Homology

The classical Künneth formula in algebraic topology describes the homolo...

0 Hitesh Gakhar, et al. ∙

∙ 05/01/2019

Coordinatizing Data With Lens Spaces and Persistent Cohomology

We introduce here a framework to construct coordinates in finite Lens sp...

0 Luis Polanco, et al. ∙

∙ 02/19/2019

Approximating Continuous Functions on Persistence Diagrams Using Template Functions

The persistence diagram is an increasingly useful tool arising from the ...

0 Jose A. Perea, et al. ∙

∙ 11/28/2018

Topological Time Series Analysis

Time series are ubiquitous in our data rich world. In what follows I wil...

0 Jose A. Perea, et al. ∙

∙ 09/25/2018

Sparse Circular Coordinates via Principal Z-Bundles

We present in this paper an application of the theory of principal bundl...

0 Jose A. Perea, et al. ∙

∙ 09/19/2018

Twisty Takens: A Geometric Characterization of Good Observations on Dense Trajectories

In nonlinear time series analysis and dynamical systems theory, Takens' ...

0 Boyan Xu, et al. ∙

∙ 09/10/2018

A Brief History of Persistence

Persistent homology is currently one of the more widely known tools from...

0 Jose A. Perea, et al. ∙

∙ 03/23/2018

Chatter Classification in Turning Using Machine Learning and Topological Data Analysis

Chatter identification and detection in machining processes has been an ...

0 Firas A. Khasawneh, et al. ∙