Results 201 to 210 of about 271 (247)

An Innovative Approach to Multi‐Valued Logic

IEEJ Transactions on Electrical and Electronic Engineering, EarlyView.
The current generation of computer systems operates on the principles of binary logic, which encompasses both logical and arithmetic operations. However, silicon technology has reached its peak performance, prompting researchers to explore alternative methods for enhancing computational efficiency. One such method is the adoption of Multi‐Valued Logic (
Ali Mokhtari, Peyman Kabiri
wiley   +1 more source

A Detailed and Comprehensive Account of Fractional Physics‐Informed Neural Networks: From Implementation to Efficiency

Artificial Intelligence for Engineering, EarlyView.
Caputo‐based fPINNs accurately solve fractional ODEs and PDEs while exposing an accuracy–cost trade‐off driven by the history‐dependent fractional derivative. Temporal collocation and shorter time windows are the most effective strategies for improving early‐time accuracy without unnecessary spatial refinement.
Donya Dabiri, Joshua DaRosa, Milad Saadat, Deepak Mangal, Safa Jamali   +4 more
wiley   +1 more source

Enhancing generalized spectral clustering with embedding Laplacian graph regularization

CAAI Transactions on Intelligence Technology, EarlyView.
Abstract An enhanced generalised spectral clustering framework that addresses the limitations of existing methods by incorporating the Laplacian graph and group effect into a regularisation term is presented. By doing so, the framework significantly enhances discrimination power and proves highly effective in handling noisy data.
Hengmin Zhang, Jian Yang, Bob Zhang, Yang Tang, Wenli Du, Bihan Wen   +5 more
wiley   +1 more source

H2CD: Semantic‐Enhanced Heterogeneous Hypergraph Network With Large Language Model for Cognitive Diagnosis

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT Cognitive diagnosis aims to infer learners' knowledge states from their exercise responses, enabling personalised education at scale. Existing methods represent exercises solely by coarse‐grained knowledge component annotations, overlooking semantic content and step‐level cognitive processes.
Youheng Bai, Zitao Liu, Mingliang Hou, Teng Guo, Weiqi Luo   +4 more
wiley   +1 more source

Sets of lengths in maximal orders in central simple algebras.

J Algebra, 2013
Smertnig D.
europepmc   +1 more source

Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]

Mach Learn Sci Technol
Papillon M, Sanborn S, Mathe J, Cornelis L, Bertics A, Buracas D, J Lillemark H, Shewmake C, Dinc F, Pennec X, Miolane N.   +10 more
europepmc   +1 more source

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On the quaternionic Weyl algebra

Advances in Applied Clifford Algebras, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
SABADINI, IRENE MARIA, D. Struppa
openaire   +4 more sources

Quaternion Algebras

1999
No abstract.
Ivanyos, G., Rónyai, L.
openaire   +2 more sources

Quaternion Algebras I

2003
One of the main aims of this chapter is to complete the classification theorem for quaternion algebras over a number field by establishing the existence part of that theorem. This theorem, together with other results in this chapter, make use of the rings of adeles and groups of ideles associated to number fields and quaternion algebras.
Colin Maclachlan, Alan W. Reid
openaire   +1 more source

On quaternion algebras

Journal of Mathematical Sciences, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources