Results 1 to 10 of about 1,287 (66)

Forecasting Multilinear Data via Transform-Based Tensor Autoregression [PDF]

arXiv.org, 2022
In the era of big data, there is an increasing demand for new methods for analyzing and forecasting 2-dimensional data. The current research aims to accomplish these goals through the combination of time-series modeling and multilinear algebraic systems.
Jackson Cates, R. Hoover, Kyle A. Caudle, Cagri Ozdemir, Karen S. Braman, David Machette   +5 more
semanticscholar   +1 more source

Tensor-Based Approaches for Nonlinear and Multilinear Systems Modeling and Identification

Algorithms, 2023
Nonlinear (NL) and multilinear (ML) systems play a fundamental role in engineering and science. Over the last two decades, active research has been carried out on exploiting the intrinsically multilinear structure of input–output signals and/or models in
Gérard Favier, Alain Y. Kibangou
semanticscholar   +1 more source

A Mathematical Proof to the HKLam Theory by Linear/Tensor Algebra and Analysis

International journal of mathematics and statistics studies, 2022
In the previous papers, I have mentioned several times of HKLam Theory and their everyday usage but without the abstract mathematical proof. In order to remediate the flaws, I am now trying to proof the theory through both Tensor Algebra and Analysis as ...
Carson Lam Kai Shun
semanticscholar   +1 more source

Derivation of the Symmetric Stress-Energy-Momentum Tensor in Exterior Algebra

Journal of Physics: Conference Series, 2021
We present a derivation of a manifestly symmetric form of the stress-energy-momentum using the mathematical tools of exterior algebra and exterior calculus, bypassing the standard symmetrizations of the canonical tensor.
I. Colombaro, Josep Font-Segura, Alfonso Martinez   +2 more
semanticscholar   +1 more source

Multilinear Algebra

Differential Geometry of Manifolds, 2019
This project consists of a rambling introduction to some basic notions in multilinear algebra. The central purpose will be to show that the div, grad, and curl operators from vector calculus can all be thought of as special cases of a single operator on ...
Stephen Lovett
semanticscholar   +1 more source

Optimizing Urban Traffic Flow through Advanced Tensor Analysis and Multilinear Algebra: A Computational Approach to Enhancing Smart City Dynamics

Engineering World
Growing traffic congestion is a worldwide problem that collides against the aims of environmental sustainability, economic productivity, and the quality of life in cities.
Md. Afroz, Birendra Goswami, Emmanuel Nyakwende   +2 more
semanticscholar   +1 more source

Pytearcat: PYthon TEnsor AlgebRa calCulATor A python package for general relativity and tensor calculus [PDF]

Astronomy and Computing, 2021
Marco San Mart'in, Joaquín Sureda
semanticscholar   +1 more source

Near Lossless Compression for 3D Radiological Images Using Optimal Multilinear Singular Value Decomposition (3D-VOI-OMLSVD). [PDF]

J Digit Imaging, 2023
Boopathiraja S, Kalavathi P, Deoghare S, Prasath VBS.   +3 more
europepmc   +1 more source

Domain-specific tensor languages

Journal of functional programming
The tensor notation used in several areas of mathematics is a useful one, but it is not widely available to the functional programming community. In a practical sense, the (embedded) domain-specific languages (dsls) that are currently in use for tensor
Jean-Philippe Bernardy, Patrik Jansson
semanticscholar   +1 more source

Adapting Logic to Physics: The Quantum-Like Eigenlogic Program. [PDF]

Entropy (Basel), 2020
Toffano Z, Dubois F.
europepmc   +1 more source