Results 101 to 110 of about 89,813 (307)
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
Image enlargement based on the hyperbolic Coons interpolation [PDF]
, 2014 A method for image enlargement, making use of the hyperbolic Coons interpolation surface with shape parameters, is investigated in this paper. As a non-polynomial model, the hyperbolic Coons interpolation surface can represent the image better than the ...
Juncheng Li, Li Juncheng
core
Reconstructing dark energy with model independent methods after DESI DR2
European Physical Journal C: Particles and FieldsIn this paper, we employ two model-independent approaches, including redshift binning method and polynomial interpolation method, to reconstruct dark energy (DE) equation of state (EoS) w(z) and DE density function f(z).
Jun-Xian Li, Shuang Wang
doaj +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
Electrostatics and ghost poles in near best fixed pole rational interpolation [PDF]
, 2007 : We consider points that are near best for rational interpolation with prescribed poles in the same sense that Chebyshev points are near best for polynomial interpolation.
Van Deun, Joris
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Conditions for interpolation of stable polynomials [PDF]
, 2020 -This contribution addresses the problem of the interpolation of a set of positive numbers by stable real polynomials. It is shown that the interpolant preserves local positivity, monotonicity, and convexity in order to satisfy stability requirement of ...
Christophe Fonte, Cédric Delattre
core
CT with dual optimal reading: Compatibility of the two data sets and interpolation issues. [PDF]
, 2009 The geometry of CT d’Or (Dual Optimal Reading), presented in another abstract for this conference, acquires data for two independent but complementary reconstructions using a special mask to collimate the fan beam.
de las Heras, H. +11 more
core +1 more source
Multi-example feature-constrained back-projection method for image super-resolution
Computational Visual Media, 2017 Example-based super-resolution algorithms, which predict unknown high-resolution image information using a relationship model learnt from known high- and low-resolution image pairs, have attracted considerable interest in the field of image processing ...
Junlei Zhang +3 more
doaj +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
POLYNOMIAL INTERPOLATION ON THE UNIT SPHERE II [PDF]
, 2008 . The problem of interpolation at (n+1) 2 points on the unit sphere S 2 by spherical polynomials of degree at most n is proved to have a unique solution for several sets of points.
Wolfgang Zu Castell +3 more
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