Results 191 to 200 of about 1,538 (222)

Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 10, Page 2291-2369, October 2026.
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

Surrogate‐Based Time‐Continuous Seismic Fragility Assessment of Corrosion‐Deteriorated Reinforced Concrete Bridges Under Climate Change

open access: yesEarthquake Engineering &Structural Dynamics, Volume 55, Issue 13, Page 3338-3362, 25 October 2026.
ABSTRACT Seismic fragility assessment of reinforced concrete (RC) bridges exposed to corrosive environments must reliably capture time‐dependent deterioration impacts. Climate change compounds this challenge through nonstationary temperature and humidity variations that accelerate bridge corrosion.
Yexiang Yan, Yazhou Xie
wiley   +1 more source

Non-commutative L p spaces and Grassmann stochastic analysis. [PDF]

open access: yesProbab Theory Relat Fields
De Vecchi F   +3 more
europepmc   +1 more source

Subspace Acceleration for Efficient Nonlinear Water Wave Simulation

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 98, Issue 10, Page 1165-1180, October 2026.
We introduce an exponentially weighted subspace acceleration technique to reduce GMRES iterations for solving the Poisson equation with time‐dependent coefficients in nonlinear, dispersive free‐surface flows governed by the incompressible Navier‐Stokes equations. The method significantly reduces memory requirements and computational complexity compared
Rasmus Kleist Hørlyck Sørensen   +3 more
wiley   +1 more source

Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal. [PDF]

open access: yesRes Math Sci
Fink A   +3 more
europepmc   +1 more source

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