Results 241 to 250 of about 822,442 (292)

A multimodal adjoint-state formulation of Quantitative Photoacoustic Tomography with external acoustic sources. [PDF]

Photoacoustics
Segerlund M, Löfqvist T.
europepmc   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
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

QKAN: quantum Kolmogorov-Arnold networks with applications in machine learning and multivariate state preparation. [PDF]

npj Quantum Inf
Ivashkov P, Huang PW, Koor K, Pira L, Rebentrost P.   +4 more
europepmc   +1 more source

Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning

Advanced Intelligent Discovery, EarlyView.
This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
wiley   +1 more source

Inf-Sup Stable Space-Time Discretization of the Wave Equation Based on a First-Order-In-Time Variational Formulation. [PDF]

J Sci Comput
Ferrari M, Perugia I, Zampa E.
europepmc   +1 more source

Best polynomial approximation and Bernstein polynomial approximation on a simplex

Indagationes Mathematicae (Proceedings), 1989
openaire   +1 more source

Composition‐Aware Cross‐Sectional Integration for Spatial Transcriptomics

Advanced Intelligent Discovery, EarlyView.
Multi‐section spatial transcriptomics demands coherent cell‐type deconvolution, domain detection, and batch correction, yet existing pipelines treat these tasks separately. FUSION unifies them within a composition‐aware latent framework, modeling reads as cell‐type–specific topics and clustering in embedding space.
Qishi Dong, Zijian Huang, Xuanwu Wang, Zhenghui Feng, Wei Liu, Bingding Huang   +5 more
wiley   +1 more source

Efficient numerical treatment of time fractional advection diffusion equations for modeling heat, pollutant and particle transport using subdivision collocation. [PDF]

Sci Rep
Bibi S, Ejaz ST.
europepmc   +1 more source

Harnessing Machine Learning to Understand and Design Disordered Solids

Advanced Intelligent Discovery, EarlyView.
This review maps the dynamic evolution of machine learning in disordered solids, from structural representations to generative modeling. It explores how deep learning and model explainability transform property prediction into profound physical insight.
Muchen Wang, Yue Fan
wiley   +1 more source

Ray Marching Aspheric Surfaces: Robust Ray Intersection Calculation for Design of Optical Sensors. [PDF]

Sensors (Basel)
Sanzharov V, Ershov S, Frolov V, Galaktionov V, Voloboy A.   +4 more
europepmc   +1 more source