Results 71 to 80 of about 4,883,226 (229)

Reconstructing dark energy with model independent methods after DESI DR2

European Physical Journal C: Particles and Fields
In 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

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

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, Dianguang Gai, Xin Zhang, Xuemei Li   +3 more
doaj   +1 more source

Symbolic polynomial interpolation using Mathematica

, 2004
This paper discusses teaching polynomial interpolation with the help of Mathematica. The symbolic power of Mathematica is utilized to prove a theorem for the error term in Lagrange interpolating formula.
Yazıcı, Adnan, Altas, I, Ergenc, T
core  

Interpolation: a Taylor polynomial approach [PDF]

, 2021
Interpolation is a technique that calculates the unknown values from known given values with in the certain range. Whereas the process of calculating unknown values beyond the certain given range is called extrapolation.
Faham, M.A.A.M., Sasni, M.I.S.
core  

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

Spatially-informed interpolation for reconstructing lake area time series using semantic neighborhood correlation

Scientific Reports
Long-term, high-resolution records of lake surface area are essential for characterizing the spatiotemporal dynamics of inland water bodies. Although Synthetic Aperture Radar has substantially improved water extent detection under adverse conditions ...
Chen Liu
doaj   +1 more source

Range Restricted Interpolation Using Cubic Bézier Triangles. [PDF]

, 2004
A range restricted C1 interpolation local scheme to scattered data is derived. Each macro triangle of the triangulated domain is split into three mini triangles and the interpolating surface on each mini triangle is a cubic Bézier triangle.
Ong, S.H., Kong, V.P., Saw, K.H.
core  

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

A Fast Back‐Projection Imaging Method for GEO SAR Geometric Distortion Calibration Based on Dynamic Selection of Local Sub‐Aperture Images Using Coarse DEM

IET Radar, Sonar & Navigation
Geosynchronous synthetic aperture radar (GEO SAR) provides extensive beam coverage and strong continuous observation capabilities, making it a research focus in the remote sensing.
Jingjing Ti, Zhiyong Suo, Bingji Zhao, Jiabao Xi   +3 more
doaj   +1 more source