Results 101 to 110 of about 274,693 (175)
A Language‐Guided Multimodal Foundation Model for Zero‐Shot and Multi‐Task Brain Signal Analysis
METIS aligns brain signals with natural‐language instructions to enable zero‐shot and multi‐task brain signal analysis. Pretrained on over 70 000 h of EEG and iEEG recordings, it generalizes across sleep stage classification, epilepsy detection, and neurological disorder diagnosis, providing a scalable foundation model for clinically meaningful brain ...
Mingzhi Chen +3 more
wiley +1 more source
Robust canonical correlations: a comparative study. [PDF]
Several approaches for robust canonical correlation analysis will be presented and discussed. A first method is based on the definition of canonical correlation analysis as looking for linear combinations of two sets of variables having maximal (robust ...
Croux, Christophe +3 more
core
Lie Classification and Symmetry-Preserving Reduced-Order Modeling of Nonlinear Electrostatic MEMS
High-fidelity continuum models of electrostatically actuated MEMS accurately capture distributed electromechanical interactions but are computationally expensive for repeated simulation, optimization, and real-time applications.
Mario Versaci, Francesco Carlo Morabito
doaj +1 more source
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source
The connection between two recent descriptions of tensor hierarchies — namely, infinity-enhanced Leibniz algebroids, given by Bonezzi & Hohm and Lavau & Palmkvist, and the p-brane QP-manifolds constructed by Arvanitakis — is made precise. This is done by
David Osten
doaj +1 more source
A Randomized Algorithm for Simultaneously Diagonalizing Symmetric Matrices by Congruence
ABSTRACT A family of symmetric matrices A1,…,Ad$$ {A}_1,\dots, {A}_d $$ is simultaneously diagonalizable by congruence (SDC), also called nonorthogonal joint diagonalization, if there is an invertible matrix X$$ X $$ such that every XTAkX$$ {X}^T{A}_kX $$ is diagonal. In this work, a novel randomized SDC (RSDC) algorithm is proposed that reduces SDC to
Haoze He, Daniel Kressner
wiley +1 more source
Collective Subspace and Canonical System with Constraints [PDF]
openaire +2 more sources
Generalized Lotka–Volterra (GLV) systems, with roots in ecology, constitute one of the most studied classes of positive ODEs. Recently, a reaction-network perspective for a generalization useful in mathematical epidemiology, called block GLV systems, was
Florin Avram
doaj +1 more source
Canonical models for invariant subspaces [PDF]
openaire +3 more sources
Foundations of Wilson Lines and Loops From Basic Concepts to Gauge Field Reconstruction
Wilson lines and Wilson loops are reviewed as parallel transport observables in continuum gauge theory. Full holonomy data recover the local connection and curvature through short segment and small loop limits. Traced Wilson loops are gauge invariant but lose matrix information, so reconstruction requires a compatible lift constrained by trace ...
Shokoufe Faraji
wiley +1 more source

