This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
A Modulated Wideband Converter Model Based on Linear Algebra and Its Application to Fast Calibration. [PDF]
Burel G, Fiche A, Gautier R.
europepmc +1 more source
This Saylor course is an extension of abstract algebra I and revisits structures like groups, rings and fields as well as mappings like homomorphisms and isomorphisms.
algebra, The Saylor Foundation
core
07071 Abstracts Collection – Web Information Retrieval and Linear Algebra Algorithms [PDF]
From 12th to 16th February 2007, the Dagstuhl Seminar 07071 ``Web Information Retrieval and Linear Algebra Algorithms'' was held in the International Conference and Research Center (IBFI), Schloss Dagstuhl.
Mahoney, Michael W. +2 more
core +1 more source
Overcoming the Nyquist Limit in Molecular Hyperspectral Imaging by Reinforcement Learning
Explorative spectral acquisition guide automatically selects informative spectral bands to optimize downstream tasks, outperforming full‐spectrum acquisition. The selected hyperspectral data are used for tasks such as unmixing and segmentation. BandOptiNet encodes selection states and outputs optimal bands to guide spectral acquisition. Recent advances
Xiaobin Tang +4 more
wiley +1 more source
Linear algebra learning focused on plausible reasoning in engineering programs
A methodological strategy is proposed for the teaching of Linear Algebra in engineering programs focused on plausible reasoning. These concepts were developed by [1] and [2], through the formulation and adaptation of interesting problems, whose design ...
Orlando García-Hurtado +2 more
doaj +1 more source
Accelerated linear algebra compiler for computationally efficient numerical models: Success and potential area of improvement. [PDF]
He X.
europepmc +1 more source
Artificial Intelligence for Advanced Functional Materials: Progress and Emerging Frontiers
Artificial intelligence is transforming the discovery of functional materials by linking synthesis, characterization, simulation, and design in unified workflows. Advances in machine learning, autonomous experimentation, and foundation models are accelerating innovation across energy, electronics, and biomedicine, while revealing new frontiers for ...
Cristiano Malica +38 more
wiley +1 more source
On the associative algebra structures and left-symmetric algebra structures
Using the symmetric linear mappings, the sufficient and necessary conditions on Lie-admissible structures of a Lie algebra to be associative algebra structures and left-symmetric algebra structures are given in this paper, respectively.Some descriptions ...
MAO Zhao-Wei, TAN You-Jun
doaj
Inexact iterative numerical linear algebra for neural network-based spectral estimation and rare-event prediction. [PDF]
Strahan J +4 more
europepmc +1 more source

