Results 171 to 180 of about 12,450 (263)

The generalized spectral theory and its application to the Kuramoto conjecture (Recent developments in mathematics of integrable systems)

The generalized spectral theory and its application to the Kuramoto conjecture (Recent developments in mathematics of integrable systems)
A spectral theory of linear operators based on a Gelfand triplet (rigged Hilbert space) is developed under the assumptions that a linear operator 𝑇 on a Hilbert space 𝐻 is a perturbation of a self-adjoint operator, and the spectral measure of the self-adjoint operator has an analytic continuation near the real axis.
openaire  

Comparison of DeePMD, MTP, GAP, ACE and MACE Machine‐Learned Potentials for Radiation‐Damage Simulations: A User Perspective

Advanced Intelligent Discovery, EarlyView.
The authors evaluated six machine‐learned interatomic potentials for simulating threshold displacement energies and tritium diffusion in LiAlO2 essential for tritium production. Trained on the same density functional theory data and benchmarked against traditional models for accuracy, stability, displacement energies, and cost, Moment Tensor Potential ...
Ankit Roy, Ram Devanathan, Sarah Allec, Giridhar Nandipati, Andrew M. Casella, David J. Senor, Duane D. Johnson, Ganesh Balasubramanian, Ayoub Soulami   +8 more
wiley   +1 more source

Gauge-covariant stochastic neural fields: stability and finite-width effects. [PDF]

Sci Rep
Terin RC.
europepmc   +1 more source

Cell Segmentation Beyond 2D—A Review of the State‐of‐the‐Art

Advanced Intelligent Discovery, EarlyView.
Cell segmentation underpins many biological image analysis tasks, yet most deep learning methods remain limited to 2D despite the inherently 3D nature of cellular processes. This review surveys segmentation approaches beyond 2D, comparing 2.5D and fully 3D methods, analyzing 31 models and 32 volumetric datasets, and introducing a unified reference ...
Fabian Schmeisser, Haseeb Muhammad, Junaid Younas, Gillian Lovell, Bianca Migliori, Andreas Dengel, Sheraz Ahmed   +6 more
wiley   +1 more source

Bifurcation analysis and phase portraits for chiral solitons with bohm potential in quantum hall effect. [PDF]

MethodsX
Tang L, Yildirim Y, Arnous AH, Mahmood AS, Chaloob IZ, Biswas A.   +5 more
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

Sharp Lyapunov inequalities and the emergence of chaos in discrete fractional systems. [PDF]

Sci Rep
Arab M, Mohammed PO, Baleanu D, Hamasalh FK.   +3 more
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

Spectral Quantum Chemistry and Infrared Resonance Library for Data-Driven Molecular Spectroscopy. [PDF]

Sci Data
Krishnadas A, Kansal J, Charron NE, Ragyanszki A.   +3 more
europepmc   +1 more source

The spectral theory of the Neumann-Poincaré operator on convex domains (Mathematical aspects of quantum fields and related topics)

The spectral theory of the Neumann-Poincaré operator on convex domains (Mathematical aspects of quantum fields and related topics)
The Neumann-Poincaré operator (abbreviated by NP) is a boundary integral operator naturally arising when solving classical boundary value problems using layer potentials. If the boundary of the domain, on which the NP operator is defined, is C[1, α] smooth, then the NP operator is compact.
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