Zobrazeno 1 - 10
of 13 167
pro vyhledávání: '"A, Lemay"'
Autor:
Meng, Fanyu, Larke, Jules, Liu, Xin, Kong, Zhaodan, Chen, Xin, Lemay, Danielle, Tagkopoulos, Ilias
Machine learning is revolutionizing nutrition science by enabling systems to learn from data and make intelligent decisions. However, the complexity of these models often leads to challenges in understanding their decision-making processes, necessita
Externí odkaz:
http://arxiv.org/abs/2410.14082
Interactions between derivatives and fixpoints have many important applications in both computer science and mathematics. In this paper, we provide a categorical framework to combine fixpoints with derivatives by studying Cartesian differential categ
Externí odkaz:
http://arxiv.org/abs/2407.12691
There is an abstract notion of connection in any tangent category. In this paper, we show that when applied to the tangent category of affine schemes, this recreates the classical notion of a connection on a module (and similarly, in the tangent cate
Externí odkaz:
http://arxiv.org/abs/2406.15137
Autor:
Lemay, Jean-Simon Pacaud
Cartesian differential categories provide a categorical framework for multivariable differential calculus and also the categorical semantics of the differential $\lambda$-calculus. Taylor series expansion is an important concept for both differential
Externí odkaz:
http://arxiv.org/abs/2405.19474
Drazin inverses are a fundamental algebraic structure which have been extensively deployed in semigroup theory and ring theory. Drazin inverses can also be defined for endomorphisms in any category. However, beyond a paper by Puystjens and Robinson f
Externí odkaz:
http://arxiv.org/abs/2402.18226
Publikováno v:
EPTCS 384, 2023, pp. 171-186
The notion of a Moore-Penrose inverse (M-P inverse) was introduced by Moore in 1920 and rediscovered by Penrose in 1955. The M-P inverse of a complex matrix is a special type of inverse which is unique, always exists, and can be computed using singul
Externí odkaz:
http://arxiv.org/abs/2308.16497
Autor:
Gray, Richard O., Corbally, Christopher J., Briley, Michael M., McKay, Adam, Sims, Forrest, Boyd, David, Boussin, Christophe, McGahee, Courtney E., Buchheim, Robert, Walker, Gary, Iadevaia, David, Fernandez, David Cejudo, Lemay, Damien, Martin, Jack, Grubb, Jim, Stiewing, Albert, Daglen, Joseph, Shank, Keith, Andrews, Sydney, Barnhardt, Nick, Clark, Rebekah, Corman, Hunter, Gomes, Sabina, Jonnalagadda, Agastya, McDaries, Theo, Mills, Ava, Newsom, Will, Slate, Andrew, Watts, Michael
Publikováno v:
Astronomical Journal 166, 161-170 (2023)
TU Tau (= HD 38218 = HIP 27135) is a binary system consisting of a C-N carbon star primary and an A-type secondary. We report on new photometry and spectroscopy which tracked the recent disappearance of the A-star secondary. The dimming of the A-star
Externí odkaz:
http://arxiv.org/abs/2308.10972
Autor:
Lemay, Jean-Simon Pacaud
Publikováno v:
Electronic Notes in Theoretical Informatics and Computer Science, Volume 3 - Proceedings of MFPS XXXIX (November 23, 2023) entics:12278
Cartesian differential categories come equipped with a differential combinator which axiomatizes the fundamental properties of the total derivative from differential calculus. The objective of this paper is to understand when the Kleisli category of
Externí odkaz:
http://arxiv.org/abs/2308.06859
Previous work has shown that reverse differential categories give an abstract setting for gradient-based learning of functions between Euclidean spaces. However, reverse differential categories are not suited to handle gradient-based learning for fun
Externí odkaz:
http://arxiv.org/abs/2308.01131
Autor:
Hoebel, Katharina V., Lemay, Andreanne, Campbell, John Peter, Ostmo, Susan, Chiang, Michael F., Bridge, Christopher P., Li, Matthew D., Singh, Praveer, Coyner, Aaron S., Kalpathy-Cramer, Jayashree
Many variables of interest in clinical medicine, like disease severity, are recorded using discrete ordinal categories such as normal/mild/moderate/severe. These labels are used to train and evaluate disease severity prediction models. However, ordin
Externí odkaz:
http://arxiv.org/abs/2305.19097