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Peter G. Bubenik
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Associate Professor, Mathematics
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Associate Professor, Mathematics,
Cleveland State University
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Articles
Articles
(7)
Article
Statistical Topology via Morse Theory, Persistence and Nonparametric Estimation
Contemporary Mathematics (2010)
Peter Bubenik, Gunnar Carlsson, Peter T. Kim and Zhiming Luo
In this paper we examine the use of topological methods for multivariate statistics. Using persistent homology from computational algebraic topology, ...
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Article
Context for Models of Concurrency
Electronic Notes in Theoretical Computer Science (2009)
Peter Bubenik
Many categories have been used to model concurrency. Using any of these, the challenge is to reduce a given model ...
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Article
Separated Lie Models and the Homotopy Lie Algebra
Journal of Pure and Applied Algebra (2008)
Peter Bubenik
A simply connected topological space Formula Not Shown has homotopy Lie algebra Formula Not Shown . Following Quillen, there is ...
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Article
Densities for Random Balanced Sampling
Journal of Multivariate Analysis (2007)
Peter Bubenik and John Holbrook
A random balanced sample (RBS) is a multivariate distribution with n components Formula Not Shown , each uniformly distributed on ...
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Article
A Statistical Approach to Persistent Homology
Homology, Homotopy and Applications (2007)
Peter Bubenik and Peter T. Kim
Assume that a finite set of points is randomly sampled from a subspace of a metric space. Recent advances in ...
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Article
A Model Category for Local Po-spaces
Homology, Homotopy and Applications (2006)
Peter Bubenik and Krzysztof Worytkiewicz
Locally partial-ordered spaces (local po-spaces) have been used to model concurrent systems. We provide equivalences for these spaces by constructing ...
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Article
Free and Semi-inert Cell Attachments
Transactions of the American Mathematical Society (2005)
Peter Bubenik
Let Y be the space obtained by attaching a finite-type wedge of cells to a simply-connected, finite-type CW-complex. We introduce ...
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