Results 101 to 110 of about 854,343 (249)
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 +7 more
wiley +1 more source
A Generalization of Kannan's Fixed Point Theorem
Fixed Point Theory and Applications, 2009 In order to observe the condition of Kannan mappings, we prove a generalization of Kannan's fixed point theorem. Our theorem involves constants and we obtain the best constants to ensure a fixed point.
Enjouji Yusuke +2 more
doaj
Holographic Mapping of Orbital Angular Momentum using a Terahertz Diffractive Optical Neural Network
Advanced Intelligent Discovery, EarlyView.A compact six‐layer diffractive optical neural network enables direct recognition and spatial mapping of terahertz (THz) orbital angular momentum (OAM) beams. Fabricated by 3D printing, the system distinguishes nine OAM modes and their superpositions with high fidelity, good efficiency, and low crosstalk, offering a scalable solution for THz ...
Wei Jia +3 more
wiley +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
Advanced Intelligent Discovery, EarlyView.The authors develop a deep learning model for real‐time tracking of wound progression. The deep learning framework maps the nonlinear evolution of a time series of images to a latent space, where they learn a linear representation of the dynamics. The linear model is interpretable and suitable for applications in feedback control.
Fan Lu +11 more
wiley +1 more source
FIXED POINT THEOREM FOR MULTIFUNCTIONS
Demonstratio Mathematica, 1984 This paper proves a fixed point theorem for multifunctions by the Ekeland variational principle. As an application a theorem of Lusternik is reobtained, but the argument seems not entirely correct. Using the author's notation, the following counterexample may be considered: \(X=Y\), \(H(x)=x\), \(u=x\), \(T=I\), \(x_ 0=0\). Then p is arbitrary positive,
openaire +2 more sources
Overcoming the Nyquist Limit in Molecular Hyperspectral Imaging by Reinforcement Learning
Advanced Intelligent Discovery, EarlyView.Explorative spectral acquisition guide automatically selects informative spectral bands to optimize downstream tasks, outperforming full‐spectrum acquisition. The selected hyperspectral data are used for tasks such as unmixing and segmentation. BandOptiNet encodes selection states and outputs optimal bands to guide spectral acquisition. Recent advances
Xiaobin Tang +4 more
wiley +1 more source
Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.This review aims to provide a broad understanding for interdisciplinary researchers in engineering and clinical applications. It addresses the development and control of magnetic actuation systems (MASs) in clinical surgeries and their revolutionary effects in multiple clinical applications.
Yingxin Huo +3 more
wiley +1 more source
Krasnosel'skii fixed point theorem for dissipative operators
Electronic Journal of Differential Equations, 2011 In this note, a sufficient condition guaranteing the existence of fixed points in a nonempty, closed convex K for T+S is given, where $T:Ksubset Eo E$ is dissipative and $S:Ko E$ is condensing.
Tian Xiang
doaj
A hybrid common fixed point theorem under certain recent properties. [PDF]
ScientificWorldJournal, 2014 Kadelburg Z, Chauhan S, Imdad M.
europepmc +1 more source