Results 51 to 60 of about 5,271,349 (211)

Trace-Inequalities and Matrix-Convex Functions

open access: yesFixed Point Theory and Applications, 2010
A real-valued continuous function f(t) on an interval (α,β) gives rise to a map X↦f(X) via functional calculus from the convex set of n×n Hermitian matrices all of whose eigenvalues belong to the interval. Since the subpace of
Tsuyoshi Ando
doaj   +2 more sources

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

open access: yesAdvanced 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

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

open access: yesAdvanced 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

Binary Positive Semidefinite Matrices and Associated Integer Polytopes [PDF]

open access: yesMathematical Programming, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adam N. Letchford   +1 more
openaire   +4 more sources

Functions that preserve families of positive semidefinite matrices [PDF]

open access: yes, 1995
We study various notions of multivariate functions which map families of positive semidefinite matrices or of conditionally positive semidefinite matrices into matrices of the same ...
Pinkus, Allan   +2 more
core   +1 more source

Overcoming the Phase Discontinuity Problem in RIS Optimization: A Robust and Scalable Phase‐Aware Deep Regression Framework via Hybrid CNN–LSTM Architecture

open access: yesAdvanced Intelligent Systems, EarlyView.
The phase discontinuity problem—where the cyclic nature of phase angles causes catastrophic errors near the ±π boundary—is a fundamental obstacle in learning‐based reconfigurable intelligent surface (RIS) optimization. A phase‐aware hybrid CNN–LSTM framework resolves this by decomposing phase predictions into sine–cosine components, mapping circular ...
Seda Savaşçı Şen   +3 more
wiley   +1 more source

Distributed State Estimation for Mobile Robots in LiDAR Sensor Networks With Intermittent Inertial Measurements

open access: yesAdvanced 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

The Unintended Consequences of Sugar‐Sweetened Beverage Taxes on Sales and Prices of Beer Beverages

open access: yesHealth 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

Low-Rank Optimization on the Cone of Positive Semidefinite Matrices [PDF]

open access: yesSIAM Journal on Optimization, 2010
We propose an algorithm for solving optimization problems defined on a subset of the cone of symmetric positive semidefinite matrices. This algorithm relies on the factorization $X=YY^T$, where the number of columns of $Y$ fixes an upper bound on the rank of the positive semidefinite matrix $X$.
Journee, Michel   +3 more
openaire   +2 more sources

Theory of Supercritical Coupling and Generalized Bound States in the Continuum

open access: yesLaser &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

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