Zobrazeno 1 - 10
of 172
pro vyhledávání: '"Thomas, Andrew M"'
Autor:
Crozier, Peter A., Leibovich, Matan, Haluai, Piyush, Tan, Mai, Thomas, Andrew M., Vincent, Joshua, Mohan, Sreyas, Morales, Adria Marcos, Kulkarni, Shreyas A., Matteson, David S., Wang, Yifan, Fernandez-Granda, Carlos
Nanoparticle surface structural dynamics is believed to play a significant role in regulating functionalities such as diffusion, reactivity, and catalysis but the atomic-level processes are not well understood. Atomic resolution characterization of n
Externí odkaz:
http://arxiv.org/abs/2407.17669
Autor:
Thomas, Andrew M.
In this article we establish two fundamental results for the sublevel set persistent homology for stationary processes indexed by the positive integers. The first is a strong law of large numbers for the persistence diagram (treated as a measure "abo
Externí odkaz:
http://arxiv.org/abs/2407.07326
We present a Bayesian method for multivariate changepoint detection that allows for simultaneous inference on the location of a changepoint and the coefficients of a logistic regression model for distinguishing pre-changepoint data from post-changepo
Externí odkaz:
http://arxiv.org/abs/2401.02917
Ridge detection is a classical tool to extract curvilinear features in image processing. As such, it has great promise in applications to material science problems; specifically, for trend filtering relatively stable atom-shaped objects in image sequ
Externí odkaz:
http://arxiv.org/abs/2302.00816
We propose a flexible algorithm for feature detection and hypothesis testing in images with ultra low signal-to-noise ratio using cubical persistent homology. Our main application is in the identification of atomic columns and other features in trans
Externí odkaz:
http://arxiv.org/abs/2209.13584
Autor:
Thomas, Andrew M.
We discuss the VC-dimension of a class of multiples of integers and primes (equivalently indicator functions) and demonstrate connections to prime counting functions. Additionally, we prove limit theorems for the behavior of an empirical risk minimiz
Externí odkaz:
http://arxiv.org/abs/2208.06442
Autor:
Thomas, Andrew M.
We consider the stochastic behavior of a class of local $U$-statistics of Poisson processes$-$which include subgraph and simplex counts as special cases, and amounts to quantifying clustering behavior$-$for point clouds lying in diverging halfspaces.
Externí odkaz:
http://arxiv.org/abs/2207.11142
Autor:
Duque-Daza, Carlos A., Murillo-Rincón, Jairo, Espinosa-Moreno, Andrés S., Alberini, Federico, Alexiadis, Alessio, Garzón-Alvarado, Diego A., Thomas, Andrew M., Simmons, Mark J.H.
Publikováno v:
In Building and Environment 15 May 2024 256
Autor:
Thomas, Andrew M., Owada, Takashi
To recover the topology of a manifold in the presence of heavy tailed or exponentially decaying noise, one must understand the behavior of geometric complexes whose points lie in the tail of these noise distributions. This study advances this line of
Externí odkaz:
http://arxiv.org/abs/2010.09110
Autor:
Thomas, Andrew M., Kurzeja, Robert J.
Publikováno v:
In Atmospheric Environment 1 November 2023 312