Results 51 to 60 of about 1,306 (85)

Multilinear Dynamical Systems (MLDS): Applications to Tensor Kalman Filter and Tensor LQG

2024 IEEE International Workshop on Technologies for Defense and Security (TechDefense)
A novel mathematical development based on tensor algebra has been applied to the Kalman Filter and to Linear Quadratic Gaussian control. This approach has been tested numerically on a swarm of satellites.
Alfonso Farina, S. Carletta, G. Palmerini, Francesco De Angelis   +3 more
semanticscholar   +1 more source

Demystifying Tubal Tensor Algebra

arXiv.org
Developed in a series of seminal papers in the early 2010s, the tubal tensor framework provides a clean and effective algebraic setting for tensor computations, supporting matrix-mimetic features such as a tensor Singular Value Decomposition and Eckart ...
H. Avron, Uria Mor
semanticscholar   +1 more source

Intersection numbers from companion tensor algebra

Journal of High Energy Physics
Twisted period integrals are ubiquitous in theoretical physics and mathematics, where they inhabit a finite-dimensional vector space governed by an inner product known as the intersection number.
Giacomo Brunello, V. Chestnov, P. Mastrolia   +2 more
semanticscholar   +1 more source

A Tensor-Based Formalization of the Event Calculus

International Joint Conference on Artificial Intelligence
We present a formalization of the Event Calculus (EC) in tensor spaces. The motivation for a tensor-based predicate calculus comes from the area of composite event recognition (CER). As a CER engine, we adopt a logic programming implementation of EC with
Efthimis Tsilionis, A. Artikis, G. Paliouras   +2 more
semanticscholar   +1 more source

Array Algebra Expansion of Matrix and Tensor Calculus: Part 1

SIAM Journal on Matrix Analysis and Applications, 2002
U. Rauhala
semanticscholar   +1 more source

Array Algebra Expansion of Matrix and Tensor Calculus: Part 2

SIAM Journal on Matrix Analysis and Applications, 2002
U. Rauhala
semanticscholar   +1 more source

Matrix Calculus and Kronecker Product: A Practical Approach to Linear and Multilinear Algebra

, 2011
W. Steeb, Y. Hardy
semanticscholar   +1 more source

Graded tensor calculus

, 1983
M. Scheunert
semanticscholar   +1 more source

Parallel convolutional processing using an integrated photonic tensor core

Nature, 2021
Johannes Feldmann, Nathan Youngblood
exaly  

An Introduction to Semi-Tensor Product of Matrices and Its Applications

, 2012
D. Cheng, Hongsheng Qi, Yin Zhao
semanticscholar   +1 more source