Results 231 to 240 of about 421,634 (286)

An accelerated Levin-Clenshaw-Curtis method for the evaluation of highly oscillatory integrals. [PDF]

BIT Numer Math
Iserles A, Maierhofer G.
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

A complexity transition in displaced Gaussian Boson sampling. [PDF]

npj Quantum Inf
Li Z, Solomons NR, Bulmer JFF, Patel RB, Walmsley IA.   +4 more
europepmc   +1 more source

RAMS: Residual‐Based Adversarial‐Gradient Moving Sample Method for Scientific Machine Learning in Solving Partial Differential Equations

Advanced Intelligent Discovery, EarlyView.
We propose a residual‐based adversarial‐gradient moving sample (RAMS) method for scientific machine learning that treats samples as trainable variables and updates them to maximize the physics residual, thereby effectively concentrating samples in inadequately learned regions.
Weihang Ouyang, Min Zhu, Wei Xiong, Si‐Wei Liu, Lu Lu   +4 more
wiley   +1 more source

Three-torsion subgroups and wild conductor exponents of plane quartics. [PDF]

Res Number Theory
Lupoian E, Rawson J.
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

A shape-controlled non-symmetric quaternary refinement scheme. [PDF]

Sci Rep
Ashraf P, Younus S, Kalsoom A, Younas J.
europepmc   +1 more source

Unified Discontinuous Galerkin Analysis of a Thermo/Poro-viscoelasticity Model. [PDF]

J Sci Comput
Bonetti S, Corti M.
europepmc   +1 more source

An Optimized Pedestrian Inertial Navigation Method Based on the Birkhoff Pseudospectral Method. [PDF]

Sensors (Basel)
Zhang Z, Zhao D, Tian D.
europepmc   +1 more source

Some of the next articles are maybe not open access.

Related searches:

Monotone Approximation by Polynomials

SIAM Journal on Mathematical Analysis, 1977
We prove Jackson type estimates for the approximation of monotone functions by monotone polynomials. The results are given in terms of the modulus of continuity of $f^{(k)} $ , for any $k \geqq 0$. The estimates are of the same order as for the unconstrained approximation by polynomials.
openaire   +1 more source