Results 41 to 50 of about 6,368,085 (214)
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
Advanced Intelligent Systems, EarlyView.A scalable distributed observer framework for LiDAR sensor networks is presented for robust tracking and pose estimation of mobile robots. By combining adaptable 3D detection, clustering‐based communication reduction, and intermittent inertial fusion, accurate and efficient estimation is achieved under occlusions and sensing constraints, with formally ...
Isabella Luppi, Ehsan Hashemi
wiley +1 more source
有关矩阵广义逆的惯性指数及其应用(Inertia formulae related to the generalized inverse with applications)
Zhejiang Daxue xuebao. Lixue ban, 2019 In this paper, firstly, we establish the inertia formulae for some matrix expressions related to the generalized inverse . Then, as applications, based on the derived inertia formulae, we study the definiteness of some matrices.
WUZhongcheng(吴中成) +1 more
doaj +1 more source
The Unintended Consequences of Sugar‐Sweetened Beverage Taxes on Sales and Prices of Beer Beverages
Health Economics, EarlyView.ABSTRACT This paper estimates the causal effect of Berkeley's sugar‐sweetened beverage (SSB) tax on beer purchases and prices using retail scanner data from 2014 to 2015. Applying both synthetic control and difference‐in‐differences (DID) approaches, we find that the tax reduced beer purchases within Berkeley by 8.9%, while having a negligible effect ...
Lei Pan, Xiaoyong Zheng
wiley +1 more source
Purifications of multipartite states: limitations and constructive methods
New Journal of Physics, 2013 We analyze the description of quantum many-body mixed states using matrix product states and operators. We consider two such descriptions: (i) as a matrix product density operator of bond dimension D ; and (ii) as a purification that is written as a ...
Gemma De las Cuevas +3 more
doaj +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 +3 more
wiley +1 more source
On the range of a Hadamard power of a positive semidefinite matrix
Linear Algebra and its Applications, 2006 For a polynomial mapping \(F:\mathbb{C}^n\to\mathbb{C}^n\) the Jacobian conjecture asserts that \(F\) is invertible if \(JF\in\mathbb{C}^*\), where \(JF\) denotes the Jacobian matrix of \(F\). \textit{L. M. Druzkowski} [Math. Ann. 264, 303--313 (1983; Zbl 0504.13006)] showed that it suffices to prove the Jacobian conjecture for all cubic-linear ...
Sun, Xiaosong, Du, Xiankun, Liu, Dayan
openaire +1 more source
Laser &Photonics Reviews, EarlyView.Coherence variation is ubiquitous in nature, yet determining how it constrains physical observables remains challenging for multimode waves. To address this challenge, this work establishes a majorization‐based theory that identifies the supremum and infimum in the set of input coherence spectra, which provide optimal universal bounds for any linear ...
Shiyu Li, Cheng Guo
wiley +1 more source
Optimal Experimental Design for Fast and Accurate Relaxation Time Measurements in Magnetic Resonance
Magnetic Resonance in Chemistry, EarlyView.We apply D‐optimal experimental design to relaxation constant estimation in NMR relaxometry. The resulting sampling schedules concentrate measurements where the signal is most sensitive to the relaxation constant. Compared with conventional linear or logarithmic spacing, D‐optimal designs achieve better estimation accuracy and precision with fewer ...
Natalie E. Klein +4 more
wiley +1 more source
Fall Detection of Elderly People Using the Manifold of Positive Semidefinite Matrices
Journal of Imaging, 2021 Falls are one of the most critical health care risks for elderly people, being, in some adverse circumstances, an indirect cause of death. Furthermore, demographic forecasts for the future show a growing elderly population worldwide.
Abdessamad Youssfi Alaoui +5 more
doaj +1 more source