F
Francis C. Motta
Researcher at Florida Atlantic University
Publications - 40
Citations - 696
Francis C. Motta is an academic researcher from Florida Atlantic University. The author has contributed to research in topics: Topological data analysis & Computer science. The author has an hindex of 9, co-authored 32 publications receiving 463 citations. Previous affiliations of Francis C. Motta include Duke University & Colorado State University.
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Journal Article
Persistence images: a stable vector representation of persistent homology
Henry Adams,Tegan Emerson,Michael Kirby,Rachel Neville,Chris Peterson,Patrick D. Shipman,Sofya Chepushtanova,Eric Hanson,Francis C. Motta,Lori Ziegelmeier +9 more
TL;DR: In this article, a persistence diagram (PD) is converted to a finite-dimensional vector representation which is called a persistence image (PI) and proved the stability of this transformation with respect to small perturbations in the inputs.
Posted Content
Persistence Images: A Stable Vector Representation of Persistent Homology
Henry Adams,Sofya Chepushtanova,Tegan Emerson,Eric M. Hanson,Michael Kirby,Francis C. Motta,Rachel Neville,Chris Peterson,Patrick D. Shipman,Lori Ziegelmeier +9 more
TL;DR: This work converts a PD to a finite-dimensional vector representation which it is called a persistence image, and proves the stability of this transformation with respect to small perturbations in the inputs.
Journal ArticleDOI
An intrinsic oscillator drives the blood stage cycle of the malaria parasite Plasmodium falciparum.
Lauren M. Smith,Francis C. Motta,Garima Chopra,J. Kathleen Moch,Robert R. Nerem,Bree Cummins,Kimberly Roche,Christina M. Kelliher,Adam R. Leman,John Harer,Tomáš Gedeon,Norman C. Waters,Steven B. Haase +12 more
TL;DR: It is demonstrated that parasites have low cell-to-cell variance in cycle period, on par with a circadian oscillator, and concluded that an intrinsic oscillator maintains Plasmodium’s rhythmic life cycle.
Journal ArticleDOI
Highly ordered nanoscale surface ripples produced by ion bombardment of binary compounds
TL;DR: In this paper, the authors proposed a theory that remarkably defect-free ripples can be produced by ion bombardment of a binary material if the ion species, energy and angle of incidence are appropriately chosen.
Posted Content
Persistence Images: An Alternative Persistent Homology Representation.
Sofya Chepushtanova,Tegan Emerson,Eric M. Hanson,Michael Kirby,Francis C. Motta,Rachel Neville,Chris Peterson,Patrick D. Shipman,Lori Ziegelmeier +8 more
TL;DR: It is shown that several machine learning techniques, applied to persistence images for classification tasks, yield high accuracy rates on multiple data sets and these sameMachine learning techniques fare better when applied to persistency images than when applied when it comes to persistence diagrams.