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pro vyhledávání: '"Actor, Jonas A."'
A machine-learnable variational scheme using Gaussian radial basis functions (GRBFs) is presented and used to approximate linear problems on bounded and unbounded domains. In contrast to standard mesh-free methods, which use GRBFs to discretize stron
Externí odkaz:
http://arxiv.org/abs/2410.06219
We present a domain decomposition strategy for developing structure-preserving finite element discretizations from data when exact governing equations are unknown. On subdomains, trainable Whitney form elements are used to identify structure-preservi
Externí odkaz:
http://arxiv.org/abs/2406.05571
Causal representation learning algorithms discover lower-dimensional representations of data that admit a decipherable interpretation of cause and effect; as achieving such interpretable representations is challenging, many causal learning algorithms
Externí odkaz:
http://arxiv.org/abs/2310.18471
Using neural networks to solve variational problems, and other scientific machine learning tasks, has been limited by a lack of consistency and an inability to exactly integrate expressions involving neural network architectures. We address these lim
Externí odkaz:
http://arxiv.org/abs/2110.14055
Autor:
Celaya, Adrian, Actor, Jonas A., Muthusivarajan, Rajarajeswari, Gates, Evan, Chung, Caroline, Schellingerhout, Dawid, Riviere, Beatrice, Fuentes, David
Medical imaging deep learning models are often large and complex, requiring specialized hardware to train and evaluate these models. To address such issues, we propose the PocketNet paradigm to reduce the size of deep learning models by throttling th
Externí odkaz:
http://arxiv.org/abs/2104.10745
Publikováno v:
In Journal of Computational Physics 1 January 2024 496
Autor:
Actor, Jonas, Knepley, Matthew G.
Kolmogorov famously proved that multivariate continuous functions can be represented as a superposition of a small number of univariate continuous functions, $$ f(x_1,\dots,x_n) = \sum_{q=0}^{2n+1} \chi^q \left( \sum_{p=1}^n \psi^{pq}(x_p) \right).$$
Externí odkaz:
http://arxiv.org/abs/1712.08286
Publikováno v:
In International Journal of Heat and Mass Transfer January 2018 116:104-114
Akademický článek
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Autor:
Actor JA; Rice University, Houston, TX USA., Fuentes DT; University of Texas MD Anderson Cancer Center, Houston, TX USA., Rivière B; Rice University, Houston, TX USA.
Publikováno v:
Proceedings of SPIE--the International Society for Optical Engineering [Proc SPIE Int Soc Opt Eng] 2020 Feb; Vol. 11313. Date of Electronic Publication: 2020 Mar 10.