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pro vyhledávání: '"Motta, Francis C."'
Synchronized behavior among individuals is a ubiquitous feature of populations. Understanding mechanisms of (de)synchronization demands meaningful, interpretable, computable quantifications of synchrony, relevant to measurements that can be made of d
Externí odkaz:
http://arxiv.org/abs/2406.15987
Topological Data Analysis (TDA) offers a suite of computational tools that provide quantified shape features in high dimensional data that can be used by modern statistical and predictive machine learning (ML) models. In particular, persistent homolo
Externí odkaz:
http://arxiv.org/abs/2307.01923
Autor:
Mishra, Amish, Motta, Francis C.
In this paper we define, implement, and investigate a simplicial complex construction for computing persistent homology of Euclidean point cloud data, which we call the Delaunay-Rips complex (DR). Assigning the Vietoris-Rips weights to simplices, DR
Externí odkaz:
http://arxiv.org/abs/2303.01501
Akademický článek
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Akademický článek
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Autor:
Motta, Francis C., Shipman, Patrick D.
The defect of a complex Hadamard matrix $H$ is an upper bound for the dimension of a continuous Hadamard orbit stemming from $H$. We provide a new interpretation of the defect as the dimension of the center subspace of a gradient flow and apply the C
Externí odkaz:
http://arxiv.org/abs/1609.02829
For positive integers $k,n$, a de Bruijn sequence $B(k,n)$ is a finite sequence of elements drawn from $k$ characters whose subwords of length $n$ are exactly the $k^n$ words of length $n$ on $k$ characters. This paper introduces the unoriented de Br
Externí odkaz:
http://arxiv.org/abs/1608.08480
When the surface of a nominally flat binary material is bombarded with a broad, normally-incident ion beam, disordered hexagonal arrays of nanodots can form. Shipman and Bradley have derived equations of motion that govern the coupled dynamics of the
Externí odkaz:
http://arxiv.org/abs/1511.01547
Autor:
Cummins, Breschine1 (AUTHOR) breschine.cummins@montana.edu, Motta, Francis C.2 (AUTHOR), Moseley, Robert C.3 (AUTHOR), Deckard, Anastasia4 (AUTHOR), Campione, Sophia3 (AUTHOR), Gameiro, Marcio5,6 (AUTHOR), Gedeon, Tomáš1 (AUTHOR), Mischaikow, Konstantin5 (AUTHOR), Haase, Steven B.3 (AUTHOR)
Publikováno v:
PLoS Computational Biology. 10/10/2022, Vol. 18 Issue 10, p1-31. 31p. 2 Diagrams, 7 Charts, 6 Graphs.
Autor:
Motta, Francis C.1 (AUTHOR) fmotta@fau.edu, Moseley, Robert C.2 (AUTHOR), Cummins, Bree3 (AUTHOR), Deckard, Anastasia4 (AUTHOR), Haase, Steven B.2 (AUTHOR)
Publikováno v:
BMC Bioinformatics. 3/17/2022, Vol. 23 Issue 1, p1-20. 20p.