Research Interests for Jose A. Perea

My research focus lies at the intersection of algebraic topology, data analysis and computational methods. My main interest consists in the application and adaptation of ideas from algebraic and geometric topology to the study of high-dimensional and complex data. Other interests include computer vision and computational biology.

Keywords:

Topology, Applied, Data, Computational, Biology

Current projects:

Periodicity in Gene expression data

Persistent homology of time-delay embeddings

Persistent cohomology and projective coordinates

Obstruction theory for data analysis

Persistence diagrams, densities and machine learning

Topological reconstruction of the otic placode

Time-delay embeddings, chaos and chatter

Areas of Interest:

Computational Topology
Data Analysis
Computer Vision
Computational Biology

Recent Publications

1. Jose A. Perea, Anastasia Deckard, Steve B. Haase and John Harer, SW1PerS: Sliding Windows and 1-Persistence Scoring; Discovering Periodicity in Gene Expression Time Series Data, BMC Bioinformatics (Accepted, July, 2015) (Journal Info: rank 8 of 52 in subject category Mathematical & Computational Biology, 2013 Impact Factor 2.67; Journal Citation Reports, Thomson Reuters.)
2. Jose A. Perea and John Harer, Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis, Foundations of Computational Mathematics (Accepted, May, 2014), ISSN 1615-3375 (Journal Info: rank 7 of 296 in subject category Mathematics, 2012 Impact Factor 1.918; Journal Citation Reports, Thomson Reuters.) [arXiv:1307.6188], [doi]
3. Jose A. Perea and Gunnar Carlsson, A Klein-Bottle-Based Dictionary for Texture Representation, International Journal of Computer Vision, vol. 107 no. 1 (March, 2014), pp. 75-97, ISSN 0920-5691 (Journal Info: rank 9 of 115 in subject category Computer Science/Artificial Intelligence, 2012 Impact factor 3.623; Journal Citation Reports, Thomson Reuters.) [doi]