Results 11 to 20 of about 929 (112)

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]

Adv Intell Discov
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 ...
Ren Y, Wei GW.
europepmc   +2 more sources

Physical Origin of Temperature Induced Activation Energy Switching in Electrically Conductive Cement

Advanced Science, EarlyView.
The temperature‐induced Arrhenius activation energy switching phenomenon of electrical conduction in electrically conductive cement originates from structural degradation within the biphasic ionic‐electronic conduction architecture and shows percolation‐governed characteristics: pore network opening dominates the low‐percolation regime with downward ...
Jiacheng Zhang, Xinyuan Ke, Andrew Heath, Richard J. Ball, Jiawei Xie, Jinchen Fan, Guisheng Li, Kevin Paine   +7 more
wiley   +1 more source

Exact Discrete Stochastic Simulation With Deep‐Learning‐Scale Gradient Optimization

Advanced Science, EarlyView.
A 203,796‐parameter gene regulatory network classifies handwritten digits with 98.4% accuracy using exact stochastic dynamics. The framework decouples forward simulation from backward differentiation, making continuous‐time Markov chain models compatible with deep‐learning optimization.
Jose M. G. Vilar, Leonor Saiz
wiley   +1 more source

Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies

Advanced Science, EarlyView.
A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Jie Yang, Pengyi Feng, Fei Han, Weijin Chen, Zhongwei Jin, Jincheng Ni, Yuanjie Yang, Anxue Zhang, Guy A. E. Vandenbosch, Niels Verellen, Ewald Janssens, Jiafu Wang, Benfeng Bai, Cheng‐Wei Qiu, Xuezhi Zheng   +14 more
wiley   +1 more source

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

Advanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +1 more source

Inverse design of catalytic active sites via interpretable topology-based deep generative models

npj Computational Materials
The rational design of catalyst structures tailored to target performance is an ambitious and profoundly impactful goal. Key challenges include achieving refined representations of the three-dimensional structure of active sites and imbuing models with ...
Bingxu Wang, Shisheng Zheng, Jie Wu, Jingyan Li, Feng Pan   +4 more
doaj   +1 more source

On structural controllability in complex networks with periodic switching topologies

Asian Journal of Control, EarlyView.
Abstract This paper investigates the structural controllability of complex networks with periodic switching topologies. First, several graph transformations that preserve structural controllability are demonstrated. Based on the n‐walk theory, a criterion is derived that determines structural controllability by analyzing only the joint graph within a ...
Jingrui Hou, Zhaohui Liu, Xinghuo Yu, Mahdi Jalili   +3 more
wiley   +1 more source

Spatial Lock‐In and Reclamation Delay in Coal‐Subsidence Landscapes: Land Degradation Under Passive Water‐Retention Strategies

Land Degradation &Development, EarlyView.
ABSTRACT In coal‐grain composite regions, intensive underground coal extraction causes large‐scale surface subsidence; under shallow groundwater conditions, these subsided landscapes rapidly transform former croplands into persistent open water bodies, creating long‐term inundated landscapes. Passive water‐retention strategies in these areas often rely
Ruihao Cui, Lingtong Meng, Xiao Wang, Yan Han, Jiazheng Han, Jennifer Franklin, Zhenqi Hu   +6 more
wiley   +1 more source

Theory of Supercritical Coupling and Generalized Bound States in the Continuum

Laser &Photonics Reviews, EarlyView.
We develop a general theory of supercritical coupling and generalized bound states in the continuum (gBICs), revealing how interference between radiative and absorptive channels enables quality factors beyond conventional material‐loss limits. The framework unifies non‐Hermitian mode coupling, causality‐driven reactive interactions, and interference ...
Sergio Balestrieri, Bruno Miranda, Silvia Romano, Gianluigi Zito   +3 more
wiley   +1 more source

Generating Helical Polymorphic Beams Using Dielectric Metasurfaces

Laser &Photonics Reviews, EarlyView.
Helix‐shaped polymorphic beams are optical fields whose intensity maxima spiral around the propagation axis, enabling particle manipulation through attractive or repulsive forces. Traditionally requiring expensive spatial light modulators, metasurfaces now provide a compact, cost‐effective alternative. This work demonstrates general helical polymorphic
Maryam Setareh, Yang Xu, Jose A. Rodrigo, Kenneth B. Crozier   +3 more
wiley   +1 more source