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pro vyhledávání: '"Memoli P"'
The Gromov-Wasserstein (GW) distance is a powerful tool for comparing metric measure spaces which has found broad applications in data science and machine learning. Driven by the need to analyze datasets whose objects have increasingly complex struct
Externí odkaz:
http://arxiv.org/abs/2408.08233
Autor:
Mémoli, Facundo, Smith, Zane T.
This writeup describes ongoing work on designing and testing a certain family of correspondences between compact metric spaces that we call \emph{embedding-projection correspondences} (EPCs). Of particular interest are EPCs between spheres of differe
Externí odkaz:
http://arxiv.org/abs/2407.03295
In this paper, we bring a new perspective to persistent homology by incorporating key concepts from metric geometry. For a given compact subset $X$ of a Banach space $Y$, we study the topological features appearing in family $N_\bullet(X\subset Y)$ o
Externí odkaz:
http://arxiv.org/abs/2403.13980
We introduce a notion of distance between supervised learning problems, which we call the Risk distance. This optimal-transport-inspired distance facilitates stability results; one can quantify how seriously issues like sampling bias, noise, limited
Externí odkaz:
http://arxiv.org/abs/2403.01660
We introduce Orthogonal M\"obius Inversion $\mathsf{OI}$, a concept analogous to M\"obius inversion on finite posets, which is applicable to order-preservings functions from a finite poset to the Grassmannian $\mathsf{Gr}(V)$ of an inner product spac
Externí odkaz:
http://arxiv.org/abs/2311.06870
Autor:
Alessandra Romolo, Giulia Costa, Beatrice Sica, Giulia Memoli, Matteo Ardit, Francesco Di Benedetto, Donata Bellis, Silvana Capella, Elena Belluso, Michela Bullone
Publikováno v:
Journal of Veterinary Internal Medicine, Vol 38, Iss 6, Pp 3315-3326 (2024)
Abstract Background Respirable mineral particles can induce lower airway inflammation, but the role they play in asthma of horses is unknown. Objectives Respirable mineral particles, particularly respirable silica, are an overlooked determinant of ch
Externí odkaz:
https://doaj.org/article/7ecdb6c4a5c24993b7123f6b43cf7680
Autor:
V. Andreozzi, S. Cuoco, M. Balestrieri, F. Fierro, N. Ferrara, R. Erro, M. Di Filippo, G. Barbella, M. C. Memoli, A. Silvestri, M. Squillante, S. Guglielmetti, P. Barone, P. Iovino, M. T. Pellecchia
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-12 (2024)
Abstract Gut microbiota changes and brain-gut-axis (BGA) dysregulation are common in people with Parkinson’s Disease (PD). Probiotics and prebiotics are emerging as a potential therapeutic approach for PD patients. The aim of this paper was to asse
Externí odkaz:
https://doaj.org/article/8776248fc6fe419abbbb80ca67dced9b
Computing Persistent Homology for large point clouds remains a bottleneck for the wider adoption of persistent homology by the scientific community. We present an algorithm which can compute the degree-1 Vietoris-Rips Persistent Homology of point clo
Externí odkaz:
http://arxiv.org/abs/2307.16333
In this paper we consider a two-parameter family {dGWp,q}p,q of Gromov- Wasserstein distances between metric measure spaces. By exploiting a suitable interaction between specific values of the parameters p and q and the metric of the underlying space
Externí odkaz:
http://arxiv.org/abs/2306.10586
Autor:
Li, Yan, Yee, Laura, Hunsberger, Sally, Memoli, Matthew J., Sadtler, Kaitlyn, Graubard, Barry I.
Public health policy makers are faced with making crucial decisions rapidly during infectious disease outbreaks such as that caused by SARS-CoV-2. Ideally, rapidly deployed representative health surveys could provide needed data for such decisions. U
Externí odkaz:
http://arxiv.org/abs/2306.08724