Results 21 to 30 of about 66,143 (43)

Efficient Inverse-Free Algorithms for Extreme Learning Machine Based on the Recursive Matrix Inverse and the Inverse LDL' Factorization [PDF]

arXiv, 2019
The inverse-free extreme learning machine (ELM) algorithm proposed in [4] was based on an inverse-free algorithm to compute the regularized pseudo-inverse, which was deduced from an inverse-free recursive algorithm to update the inverse of a Hermitian matrix.
arxiv  

Arithmetical meadows [PDF]

arXiv, 2009
An inversive meadow is a commutative ring with identity equipped with a multiplicative inverse operation made total by choosing 0 as its value at 0. Previously, inversive meadows were shortly called meadows. A divisive meadow is an inversive meadows with the multiplicative inverse operation replaced by a division operation.
arxiv  

Natural generalized inverse and core of an element in semigroups, rings and Banach and Operator Algebras [PDF]

arXiv, 2012
Using the recent notion of inverse along an element in a semigroup, and the natural partial order on idempotents, we study bicommuting generalized inverses and define a new inverse called natural inverse, that generalizes the Drazin inverse in a semigroup, but also the Koliha-Drazin inverse in a ring. In this setting we get a core decomposition similar
arxiv  

On inverse and right inverse ordered semigroups [PDF]

arXiv, 2017
A regular ordered semigroup $S$ is called right inverse if every principal left ideal of $S$ is generated by an $\mathcal{R}$-unique ordered idempotent. Here we explore the theory of right inverse ordered semigroups. We show that a regular ordered semigroup is right inverse if and only if any two right inverses of an element $a\in S$ are $\mathcal{R ...
arxiv  

Generalized Inverse Preservers of Hadamard Circulant Majorization [PDF]

arXiv
Let $T\colon M_n\rightarrow M_n$ preserve Hadamard circulant majorization. In this note, we show that this property is inherited by the three most popular generalized inverses, viz. the Moore-Penrose inverse, the group inverse and the Drazin inverse.
arxiv  

Deep learning in nano-photonics: inverse design and beyond

Photonics Research, 2021
Peter R Wiecha, Arnaud Arbouet, Otto L Muskens   +2 more
exaly  

Benchmarking deep learning-based models on nanophotonic inverse design problems

Opto-Electronic Science, 2022
Haozhu Wang, L Jay Guo
exaly  

Generative Deep Neural Networks for Inverse Materials Design Using Backpropagation and Active Learning

Advanced Science, 2020
Chun-teh Chen, Grace X Gu
exaly  

Ultrafast all-optical terahertz modulation based on an inverse-designed metasurface

Photonics Research, 2021
Tian Jiang
exaly  

Online inverse reinforcement learning for nonlinear systems with adversarial attacks

International Journal of Robust and Nonlinear Control, 2021
Bosen Lian, Federico Carbone, Jr Ingram
exaly