Results 91 to 100 of about 281,620 (316)
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
Cutting the traintracks: Cauchy, Schubert and Calabi-Yau
Journal of High Energy Physics, 2023 In this note we revisit the maximal-codimension residues, or leading singularities, of four-dimensional L-loop traintrack integrals with massive legs, both in Feynman parameter space and in momentum (twistor) space.
Qu Cao, Song He, Yichao Tang
doaj +1 more source
The Geometry of Interaction of Differential Interaction Nets
, 2008 The Geometry of Interaction purpose is to give a semantic of proofs or programs accounting for their dynamics. The initial presentation, translated as an algebraic weighting of paths in proofnets, led to a better characterization of the lambda-calculus ...
de Falco, Marc
core +4 more sources
Advanced Intelligent Systems, EarlyView.An online learning control framework with a data cache pool based on a constant‐curvature model inspired neural network (CCMINN) model to obtain the inverse kinematics model of tendon‐actuated continuum manipulators is proposed. Combining the fast‐converging CCMINN with an online learning control framework enables high‐precision and highly robust ...
Jinyu Duan +5 more
wiley +1 more source
Holonomic representation of biadjoint scalar amplitudes
Journal of High Energy Physics, 2023 We study tree-level biadjoint scalar amplitudes in the language of D-modules. We construct left ideals in the Weyl algebra D that allow a holonomic representation of n-point amplitudes in terms of the linear partial differential equations they satisfy ...
Leonardo de la Cruz
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Robotic Needle Steering for Percutaneous Interventions: Sensing, Modeling, and Control
Advanced Intelligent Systems, EarlyView.This review examines recent advances in robotic needle steering for percutaneous interventions, highlighting closed‐loop sensing, physics‐informed tissue‐needle interaction modeling, and real‐time trajectory planning and control. It synthesizes innovations in deep learning, fiber‐optic feedback, and adaptive control strategies, and outlines emerging ...
Fangjiao Zhao +5 more
wiley +1 more source
Doubling, T-Duality and Generalized Geometry: a simple model
Journal of High Energy Physics, 2018 A simple mechanical system, the three-dimensional isotropic rigid rotator, is here investigated as a 0+1 field theory, aiming at further investigating the relation between Generalized/Double Geometry on the one hand and Doubled World-Sheet Formalism ...
Vincenzo E. Marotta +2 more
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Intersection numbers from higher-order partial differential equations
Journal of High Energy Physics, 2023 We propose a new method for the evaluation of intersection numbers for twisted meromorphic n-forms, through Stokes’ theorem in n dimensions. It is based on the solution of an n-th order partial differential equation and on the evaluation of multivariate ...
Vsevolod Chestnov +4 more
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Lectures on Graded Differential Algebras and Noncommutative Geometry [PDF]
, 2001 These notes contain a survey of some aspects of the theory of graded differential algebras and of noncommutative differential calculi as well as of some applications connected with physics. They also give a description of several new developments.
openaire +3 more sources
Review of Memristors for In‐Memory Computing and Spiking Neural Networks
Advanced Intelligent Systems, EarlyView.Memristors uniquely enable energy‐efficient, brain‐inspired computing by acting as both memory and synaptic elements. This review highlights their physical mechanisms, integration in crossbar arrays, and role in spiking neural networks. Key challenges, including variability, relaxation, and stochastic switching, are discussed, alongside emerging ...
Mostafa Shooshtari +2 more
wiley +1 more source