Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Toshio Sakata"'
Publikováno v:
Linear and Multilinear Algebra. 63(5):940-955
Let . We study typical ranks of tensors over the real number field. Let be the Hurwitz–Radon function defined as for nonnegative integers such that and . If , then the set of tensors has two typical ranks . In this paper, we show that the converse
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::698fcc285c46f5a145cb72f41e820f7a
http://hdl.handle.net/2324/1526105
http://hdl.handle.net/2324/1526105
Let $m$, $n$ and $p$ be integers with $3\leq m\leq n$ and $(m-1)(n-1)+1\leq p\leq (m-1)m$. We showed in previous papers that if $p\geq (m-1)(n-1)+2$, then typical ranks of $p\times n\times m$-tensors over the real number field are $p$ and $p+1$ if an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::21222d58d956292357666c5f11b7ace2
Autor:
Shinya Uematsu, Satoru Kitazono, Hisashi Tanaka, Ryota Saito, Yosuke Kawashima, Fumiyoshi Ohyanagi, Takehiro Tozuka, Tsugitomi Ryosuke, Toshio Sakatani, Atsushi Horiike, Takahiro Yoshizawa, Masafumi Saiki, Yuichi Tambo, Junji Koyama, Masaki Kanazu, Keita Kudo, Yuko Tsuchiya‐Kawano, Noriko Yanagitani, Makoto Nishio
Publikováno v:
Thoracic Cancer, Vol 14, Iss 2, Pp 168-176 (2023)
Abstract Background The therapeutic efficacy of cytotoxic anticancer drugs has been reported to be enhanced after immune checkpoint inhibitors (ICI) in non–small cell lung cancer; however, it is unclear whether the same is applicable for small cell
Externí odkaz:
https://doaj.org/article/8194827c78724e359bab2959b6fa2bc1
This book provides comprehensive summaries of theoretical (algebraic) and computational aspects of tensor ranks, maximal ranks, and typical ranks, over the real number field. Although tensor ranks have been often argued in the complex number field, i
Autor:
Toshio Sakata
This book provides comprehensive reviews of recent progress in matrix variate and tensor variate data analysis from applied points of view. Matrix and tensor approaches for data analysis are known to be extremely useful for recently emerging complex
Autor:
Taku Nishimura, Toshio Sakatani, Hideyuki Takeshima, Shunichi Matsuda, Toshihiro Yoshizawa, Kazuhiro Usui
Publikováno v:
Case Reports in Oncology, Vol 15, Iss 3, Pp 868-873 (2022)
Neurotoxicity is one of the more serious immune-related adverse events (irAEs) linked to immune checkpoint inhibitors and calls for prompt diagnosis and treatment. We describe a case of posttreatment anti-programmed death-1 immune checkpoint inhibito
Externí odkaz:
https://doaj.org/article/9cf32f181ca842a08afcac66958d82e4
Publikováno v:
Linear Algebra and its Applications. 438:953-958
In various application fields, tensor type data are used recently and then a typical rank is important. There may be more than one typical ranks over the real number field. It is well known that the set of 2 × n × n tensors has two typical ranks n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::473e9a0126c910d1e7fd1ea569a5618f
https://doi.org/10.1016/j.laa.2011.08.009
https://doi.org/10.1016/j.laa.2011.08.009
Publikováno v:
Algebraic and Computational Aspects of Real Tensor Ranks ISBN: 9784431554585
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a3137ff673027a264149a6eccc22d27a
https://doi.org/10.1007/978-4-431-55459-2_5
https://doi.org/10.1007/978-4-431-55459-2_5
Publikováno v:
Algebraic and Computational Aspects of Real Tensor Ranks ISBN: 9784431554585
In statistical data analysis, a tensor is a multi-array datum. Just as the complexity of a matrix datum is described by its matrix rank, the complexity of a tensor datum is described by its tensor rank. In this chapter, we review several concepts of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9fad02c91d211cc663c69e4cd08f8e06
https://doi.org/10.1007/978-4-431-55459-2_1
https://doi.org/10.1007/978-4-431-55459-2_1
Publikováno v:
Algebraic and Computational Aspects of Real Tensor Ranks ISBN: 9784431554585
In this chapter, we illustrate simple evaluations of the rank of 3-mode tensors, which might facilitate readers’ understanding of tensor rank.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f5dbc39bd83ec4d1dea727dcb38067d
https://doi.org/10.1007/978-4-431-55459-2_3
https://doi.org/10.1007/978-4-431-55459-2_3