Zobrazeno 1 - 10
of 24
pro vyhledávání: '"AKIYOSHI SANNAI"'
Publikováno v:
Machine Learning: Science and Technology, Vol 5, Iss 2, p 025079 (2024)
Understanding the inner workings of neural networks, including transformers, remains one of the most challenging puzzles in machine learning. This study introduces a novel approach by applying the principles of gauge symmetries, a key concept in phys
Externí odkaz:
https://doaj.org/article/0475689d81f44b75906861fb76df299a
Publikováno v:
Journal of Experimental & Theoretical Artificial Intelligence. :1-12
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78da48169b682d2780e3173cad0324da
https://doi.org/10.1080/0952813x.2022.2123563
https://doi.org/10.1080/0952813x.2022.2123563
Publikováno v:
AAAI
The B'ezier simplex fitting is a novel data modeling technique which utilizes geometric structures of data to approximate the Pareto set of multi-objective optimization problems. There are two fitting methods based on different sampling strategies. T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5686d7a11adbc00d51f59399d3da56a0
https://doi.org/10.1609/aaai.v34i03.5622
https://doi.org/10.1609/aaai.v34i03.5622
Autor:
Akiyoshi Sannai, Sho Ejiri
Publikováno v:
International Mathematics Research Notices. 2019:5975-5988
In this paper, we prove that a smooth projective variety $X$ of characteristic $p>0$ is an ordinary abelian variety if and only if $K_X$ is pseudo-effective and $F^e_*\mathcal O_X$ splits into a direct sum of line bundles for an integer $e$ with $p^e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34301fae88d0428b28f9154e4d7fa91d
https://doi.org/10.1093/imrn/rnx288
https://doi.org/10.1093/imrn/rnx288
Autor:
Kenichi Bannai, Akinori Tanaka, Naoki Hamada, Ken Kobayashi, Masashi Sugiyama, Akiyoshi Sannai
Publikováno v:
AAAI
Multi-objective optimization problems require simultaneously optimizing two or more objective functions. Many studies have reported that the solution set of an M-objective optimization problem often forms an (M-1)-dimensional topological simplex (a c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d887497ffc4b7e1060208c83a8d619a7
http://arxiv.org/abs/1812.05222
http://arxiv.org/abs/1812.05222
Autor:
Akiyoshi Sannai, Hiromu Tanaka
Publikováno v:
Algebra Number Theory 13, no. 8 (2019), 1879-1891
For the polynomial ring over an arbitrary field with twelve variables, there exists a prime ideal whose symbolic Rees algebra is not finitely generated.
16 pages, v2: minor revisions, v3: minor revisions
16 pages, v2: minor revisions, v3: minor revisions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cbe6c5dfdcd87fc2476d4472b935ba49
http://arxiv.org/abs/1703.09121
http://arxiv.org/abs/1703.09121
Publikováno v:
Journal of Algebraic Geometry. 24:159-182
We show that every Mori dream space of globally $F$-regular type is of Fano type. As an application, we give a characterization of varieties of Fano type in terms of the singularities of their Cox rings.
22 pages
22 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3159c73981aeff665e612a6d1904bedd
https://doi.org/10.1090/s1056-3911-2014-00641-x
https://doi.org/10.1090/s1056-3911-2014-00641-x
Autor:
Akiyoshi Sannai
Publikováno v:
International Mathematics Research Notices. 2015:197-211
We define the dual F-signature of modules, which is equivalent to the F-signature if the module is the base ring. By us- ing this invariant, we give characterizations of regular, F-regular, F-rational, and Gorenstein singularities.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bf26dafab273ef90c3a295277e05f545
https://doi.org/10.1093/imrn/rnt162
https://doi.org/10.1093/imrn/rnt162
Autor:
Anurag K. Singh, Akiyoshi Sannai
Publikováno v:
Advances in Mathematics. 229(3):1847-1861
Given a local domain ( R , m ) of prime characteristic that is a homomorphic image of a Gorenstein ring, Huneke and Lyubeznik proved that there exists a module-finite extension domain S such that the induced map on local cohomology modules H m i ( R
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac3917e126e0163fd9cdea17f20224fc