Zobrazeno 1 - 10
of 8 400
pro vyhledávání: '"Tensor decompositions"'
Autor:
Aksenov, Vitalii, Eigel, Martin
The possibility of using the Eulerian discretization for the problem of modelling high-dimensional distributions and sampling, is studied. The problem is posed as a minimization problem over the space of probability measures with respect to the Wasse
Externí odkaz:
http://arxiv.org/abs/2411.12430
Large neural networks achieve remarkable performance, but their size hinders deployment on resource-constrained devices. While various compression techniques exist, parameter sharing remains relatively unexplored. This paper introduces Fine-grained P
Externí odkaz:
http://arxiv.org/abs/2411.09816
Autor:
Schynol, Lukas, Pesavento, Marius
Anomaly detection (AD) is increasingly recognized as a key component for ensuring the resilience of future communication systems. While deep learning has shown state-of-the-art AD performance, its application in critical systems is hindered by concer
Externí odkaz:
http://arxiv.org/abs/2409.11529
Physics-Informed Neural Networks (PINNs) have shown continuous and increasing promise in approximating partial differential equations (PDEs), although they remain constrained by the curse of dimensionality. In this paper, we propose a generalized PIN
Externí odkaz:
http://arxiv.org/abs/2408.13101
Autor:
Uotila, Valter
Quantum computing and modern tensor-based computing have a strong connection, which is especially demonstrated by simulating quantum computations with tensor networks. The other direction is less studied: quantum computing is not often applied to ten
Externí odkaz:
http://arxiv.org/abs/2406.13412
Autor:
Dong, Anqi, Chen, Can
Complex ecological networks are often characterized by intricate interactions that extend beyond pairwise relationships. Understanding the stability of higher-order ecological networks is salient for species coexistence, biodiversity, and community p
Externí odkaz:
http://arxiv.org/abs/2401.02023
Autor:
Oeding, Luke, Tan, Ian
We introduce a broad lemma, one consequence of which is the higher order singular value decomposition (HOSVD) of tensors defined by DeLathauwer, DeMoor and Vandewalle (2000). By an analogous application of the lemma, we find a complex orthogonal vers
Externí odkaz:
http://arxiv.org/abs/2402.12542
Autor:
Yang, Jason
We analyze rank decompositions of the $3\times 3$ matrix multiplication tensor over $\mathbb{Z}/2\mathbb{Z}$. We restrict our attention to decompositions of rank $\le 21$, as only those decompositions will yield an asymptotically faster algorithm for
Externí odkaz:
http://arxiv.org/abs/2402.01011
This paper studies how to recover parameters in diagonal Gaussian mixture models using tensors. High-order moments of the Gaussian mixture model are estimated from samples. They form incomplete symmetric tensors generated by hidden parameters in the
Externí odkaz:
http://arxiv.org/abs/2401.01337