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of 1 832
pro vyhledávání: '"non-linear matrix"'
The phenomenon of implicit regularization has attracted interest in recent years as a fundamental aspect of the remarkable generalizing ability of neural networks. In a nutshell, it entails that gradient descent dynamics in many neural nets, even wit
Externí odkaz:
http://arxiv.org/abs/2402.17595
Publikováno v:
In International Journal of Heat and Mass Transfer April 2025 239
Firms earning prediction plays a vital role in investment decisions, dividends expectation, and share price. It often involves multiple tensor-compatible datasets with non-linear multi-way relationships, spatiotemporal structures, and different level
Externí odkaz:
http://arxiv.org/abs/2109.01773
Publikováno v:
IEEE Transactions on Signal Processing 69, 1755-1770 (2021)
Low dimensional nonlinear structure abounds in datasets across computer vision and machine learning. Kernelized matrix factorization techniques have recently been proposed to learn these nonlinear structures for denoising, classification, dictionary
Externí odkaz:
http://arxiv.org/abs/2005.01317
The main goal of this article is to study the existence of a unique positive definite common solution to a pair of matrix equations of the form \begin{eqnarray*} X^r=Q_1 + \displaystyle \sum_{i=1}^{m} {A_i}^*F(X)A_i \mbox{ and } X^s=Q_2 + \displaysty
Externí odkaz:
http://arxiv.org/abs/2006.10863
Autor:
SHIL, SOURAV1 sourav.shil@vit.ac.in, NASHINE, HEMANT KUMAR1,2 hemant.nashine@vit.ac.in
Publikováno v:
Fixed Point Theory. Feb2023, Vol. 24 Issue 1, p367-381. 15p.
Matrix completion aims to predict missing elements in a partially observed data matrix which in typical applications, such as collaborative filtering, is large and extremely sparsely observed. A standard solution is matrix factorization, which predic
Externí odkaz:
http://arxiv.org/abs/1908.01009
Autor:
Garai, Hiranmoy, Dey, Lakshmi Kanta
In this article, we propose an idea to develop some sufficient conditions for the existence and uniqueness of a positive definite common solution to a pair of non-linear matrix equations. To proceed this, we present some interesting common fixed poin
Externí odkaz:
http://arxiv.org/abs/1805.03474
Akademický článek
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Autor:
Sourav Shil, Hemant Kumar Nashine
Publikováno v:
AIMS Mathematics, Vol 7, Iss 4, Pp 6259-6281 (2022)
The goal of this study is to solve a non-linear matrix equation of the form $ \mathcal{X} = \mathcal{Q} + \sum\limits_{i = 1}^{m} \mathcal{B}_{i}^{*}\mathcal{G} (\mathcal{X})\mathcal{B}_{i} $, where $ \mathcal{Q} $ is a Hermitian positive definite ma
Externí odkaz:
https://doaj.org/article/3571129cfd3342c7bafda9e4c2d9ec3c