Zobrazeno 1 - 10
of 288
pro vyhledávání: '"Song, Yisheng"'
Autor:
Li, Min, Song, Yisheng
In this article, we mainly give the strictly copositive conditions of a special class of third order three dimensional symmetric tensors. More specifically, by means of the polynomial decomposition method, the analytic sufficient and necessary condit
Externí odkaz:
http://arxiv.org/abs/2410.08750
Autor:
Song, Yisheng
For a 4th order 3-dimensional cyclic symmetric tensor, a sufficient and necessary condition is bulit for its positive semi-definiteness. A sufficient and necessary condition of positive definiteness is showed for a 4th order $n$-dimensional symmetric
Externí odkaz:
http://arxiv.org/abs/2409.01747
Autor:
Song, Yisheng
For a 4th order 3-dimensional symmetric tensor with its some entries $1$ or $-1$, we show the analytic sufficient and necessary conditions of its positive definiteness. By applying these conclusions, several strict inequalities is bulit for ternary q
Externí odkaz:
http://arxiv.org/abs/2406.04010
Autor:
Song, Yisheng
The purpose of this letter is to point out that some conclusions in the paper (Eur. Phys. J. C {\bf 76}, 324(2016)) are incomplete, and to give complete and improved conclusions. The analytic necessary and sufficient conditions are given for the boun
Externí odkaz:
http://arxiv.org/abs/2401.13863
Autor:
Song, Yisheng, Liu, Jinjie
In this paper, we mainly dicuss the non-negativity conditions for quartic homogeneous polynomials with 3 variables, which is the analytic conditions of copositivity of a class of 4th order 3-dimensional symmetric tensors. For a 4th order 3-dimensiona
Externí odkaz:
http://arxiv.org/abs/2312.01683
Autor:
Song, Yisheng
In this paper, we present the novel analytical expressions for the bounded-from-below or the vacuum stability conditions of scalar potential for a general CP violating two-Higgs-doublet model by using the concepts of co-positivity and the gauge orbit
Externí odkaz:
http://arxiv.org/abs/2301.09256
Few-shot learning (FSL) has emerged as an effective learning method and shows great potential. Despite the recent creative works in tackling FSL tasks, learning valid information rapidly from just a few or even zero samples still remains a serious ch
Externí odkaz:
http://arxiv.org/abs/2205.06743
Autor:
Song, Yisheng
Publikováno v:
International Journal of Modern Physics A 38:31 (2023), 2350164
In this paper, the analytic sufficient and necessary conditions are obtained for the CP conserving two-Higgs-doublet potential to be bounded from below by using the co-positivity of tensors. This is achieved by treating the potential as a quartic hom
Externí odkaz:
http://arxiv.org/abs/2203.11462
Autor:
Song, Yisheng, Li, Xudong
Publikováno v:
Journal of Optimization Theory and Applications, 195(2022), 334-346
The mathematical model of multiple microscopic particles potentials corresponds to a fourth order symmetric tensor with a particular structure in particle physics. In this paper, we mainly dedicate to the study of copositivity for a class of tensors
Externí odkaz:
http://arxiv.org/abs/2105.07124
Autor:
Song, Yisheng, Qi, Liqun
The most general scalar potential of two real scalar fields and a Higgs boson is a quartic homogeneous polynomial about 3 variables, which defines a 4th order 3 dimensional symmetric tensor. Hence, the boundedness from below of such a scalar potentia
Externí odkaz:
http://arxiv.org/abs/2011.11262