Zobrazeno 1 - 10
of 3 914
pro vyhledávání: '"Liu, Zhuo"'
Publikováno v:
Comptes Rendus. Mathématique, Vol 360, Iss G11, Pp 1205-1212 (2022)
In this note, we establish the strong openness and stability property of multiplier submodule sheaves associated to singular Nakano semi-positive metrics on holomorphic vector bundles, which generalizes the same properties for multiplier ideal sheave
Externí odkaz:
https://doaj.org/article/171c93acaf354bcabf336b7ed9bb33c2
Adversarial examples, crafted by adding perturbations imperceptible to humans, can deceive neural networks. Recent studies identify the adversarial transferability across various models, \textit{i.e.}, the cross-model attack ability of adversarial sa
Externí odkaz:
http://arxiv.org/abs/2405.14077
In this paper, we obtain a Le Potier-type isomorphism theorem twisted with multiplier submodule sheaves, which relates a holomorphic vector bundle endowed with a strongly Nakano semipositive singular Hermitian metric to the tautological line bundle w
Externí odkaz:
http://arxiv.org/abs/2405.07261
Efficient and biologically plausible alternatives to backpropagation in neural network training remain a challenge due to issues such as high computational complexity and additional assumptions about neural networks, which limit scalability to deeper
Externí odkaz:
http://arxiv.org/abs/2403.12320
We propose an RNN-based efficient Ising model solver, the Criticality-ordered Recurrent Mean Field (CoRMF), for forward Ising problems. In its core, a criticality-ordered spin sequence of an $N$-spin Ising model is introduced by sorting mission-criti
Externí odkaz:
http://arxiv.org/abs/2403.03391
Autor:
Liu, Zhuo, Zhang, Xujun
In this paper, we show that the $L^2$-optimal condition implies the $L^2$-divisibility of $L^2$-integrable holomorphic functions. As an application, we offer a new characterization of bounded $L^2$-domains of holomorphy with null thin complements usi
Externí odkaz:
http://arxiv.org/abs/2401.05082
Autor:
Zhang, Zeliang, Liu, Zhuo, Liang, Susan, Wang, Zhiyuan, Zhu, Yifan, Ding, Chen, Xu, Chenliang
CP decomposition is a powerful tool for data science, especially gene analysis, deep learning, and quantum computation. However, the application of tensor decomposition is largely hindered by the exponential increment of the computational complexity
Externí odkaz:
http://arxiv.org/abs/2311.13693
We investigate the linear and nonlinear evolution of the ion-acoustic instability in a collisionless plasma via two-dimensional (2D2V) Vlasov-Poisson numerical simulations. We initialize the system in a stable state and gradually drive it towards ins
Externí odkaz:
http://arxiv.org/abs/2309.05563
Deng-Ning-Wang-Zhou showed that a Hermitian holomorphic vector bundle is Griffiths semi-positive if it satisfies the optimal $L^2$-extension condition. As a generalization, we present a quantitative characterization of Griffiths positivity in terms o
Externí odkaz:
http://arxiv.org/abs/2210.17361
We report analytical and numerical investigations of sub-ion-scale turbulence in low-beta plasmas, focusing on the spectral properties of the fluctuations and electron heating. In the isothermal limit, the numerical results strongly support a descrip
Externí odkaz:
http://arxiv.org/abs/2208.02441