A machine learning method, opt‐GPRNN, is presented that combines the advantages of neural networks and kernel regressions. It is based on additive GPR in optimized redundant coordinates and allows building a representation of the target with a small number of terms while avoiding overfitting when the number of terms is larger than optimal.
Sergei Manzhos, Manabu Ihara
wiley +1 more source
The wavefront set: bounds for the Langlands parameter. [PDF]
Ciubotaru D, Kim JL.
europepmc +1 more source
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
Critical points and syzygies for Feynman integrals. [PDF]
Page B, Song Q.
europepmc +1 more source
Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning
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
ChebIoD: a Chebyshev polynomial-based lightweight authentication scheme for internet of drones environments. [PDF]
Al-Mekhlafi ZG +9 more
europepmc +1 more source
Composition‐Aware Cross‐Sectional Integration for Spatial Transcriptomics
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 +5 more
wiley +1 more source
Evaluation Method for Resin Mold Using Reflective Wavefront Sensor. [PDF]
Tatsumi K +6 more
europepmc +1 more source
Reference ranges for peak systolic velocity ratio of ophthalmic artery Doppler from first to third trimester based on serial Doppler measurements. [PDF]
Kusuma RA +5 more
europepmc +1 more source
The population ecology and habitat relationships of Grant's gazelle (Nanger granti Brooke, 1872) in the Lamo Forest and the adjacent fragmented forests in South Central Ethiopia. [PDF]
Dobamo T, Achiso Z.
europepmc +1 more source

