Results 181 to 190 of about 579,929 (244)

Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]

Mach Learn Sci Technol
Papillon M, Sanborn S, Mathe J, Cornelis L, Bertics A, Buracas D, J Lillemark H, Shewmake C, Dinc F, Pennec X, Miolane N.   +10 more
europepmc   +1 more source

Electrified Carbon‐Neutral Methanol Production Pathways: A Multiscale Techno‐Economic‐Environmental Assessment Based on the UK Energy System

Advanced Chemical Engineering, Volume 1, Issue 2, December 2026.
A two‐scale framework bridges process‐level physics and system‐level decision‐making for electrified green methanol production. Replacing computationally demanding reactor simulations with an interpretable symbolic‐regression surrogate enables rapid techno‐economic and life‐cycle assessment. The framework reveals how process performance propagates into
Yuanjing Zhao, Shiyu Wang, Grazia Leonzio, Jin Xuan, Huajie Yin, Lei Xing   +5 more
wiley   +1 more source

The Standard Model Symmetry and Qubit Entanglement. [PDF]

Entropy (Basel)
Szangolies J.
europepmc   +1 more source

Nanofluidic Spiking Logics Solves Linearly Inseparable and Separable Tasks

Advanced Computing, Volume 1, Issue 1, December 2026.
This work reports the biomimetic nanofluidic spiking logics capable of solving both linearly inseparable and separable tasks. By emulating the non‐monotonic and monotonic activation functions of biological ion channels, it can not only perform linearly separable AND and OR operations, but also implement the linearly inseparable XOR task, an ...
Shuang Wu, Cheng Yuan, Jian‐Xiang Pang, Yu‐Ting Huang, Jing‐Juan Xu, Wei‐Wei Zhao   +5 more
wiley   +1 more source

On Hodge polynomials for nonalgebraic complex manifolds. [PDF]

Proc Natl Acad Sci U S A
Katzarkov L, Lee KS, Lupercio E, Meersseman L.   +3 more
europepmc   +1 more source

The Long Shadow of Karl Weierstraß Over the Calculus of Variations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT At first glance, it appears that the contents of Karl Weierstraß's (1815–1897) lecture courses on the calculus of variations were made available to the public only in the seventh volume of his Mathematische Werke, and thus not until 30 years after his death.
Peter Ullrich
wiley   +1 more source

Cohomology Rings of Toric Bundles and the Ring of Conditions. [PDF]

Arnold Math J
Hofscheier J, Khovanskii A, Monin L.
europepmc   +1 more source

Stochastic Galerkin and Monte Carlo Methods for Parabolic Problems: Numerical Performance of Variational Matrix‐Free Approximations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational discretizations of the space and time variables. Due to the high dimensionality, the solution of the arising algebraic systems do not become feasible without ...
Moataz Dawor, Nils Margenberg, Markus Bause   +2 more
wiley   +1 more source

Scattering diagrams, tight gradings, and generalized positivity. [PDF]

Proc Natl Acad Sci U S A
Burcroff A, Lee K, Mou L.
europepmc   +1 more source

Data‐Driven Spectral Prediction for Accelerating Large‐Scale Electronic Structure Calculations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Simulating large molecular systems comprising thousands of atoms requires highly scalable methodologies. While modern Density Functional Theory (DFT) codes exhibit linear scaling, solving the associated large, sparse generalized eigenproblems remains a critical computational bottleneck on exascale architectures.
Abhiram Badrinarayanan, Davor Davidović, Edoardo Di Napoli, Jurica Novak, Luigi Genovese, Gustavo Ramirez‐Hidalgo, Xinzhe Wu   +6 more
wiley   +1 more source