Results 111 to 120 of about 9,965 (268)

Optimal Portfolio Choice With Cross‐Impact Propagators

open access: yesMathematical Finance, EarlyView.
ABSTRACT We consider a class of optimal portfolio choice problems in continuous time where the agent's transactions create both transient cross‐impact driven by a matrix‐valued Volterra propagator, as well as temporary price impact. We formulate this problem as the maximization of a revenue‐risk functional, where the agent also exploits available ...
Eduardo Abi Jaber   +2 more
wiley   +1 more source

A Simulation Study on Spatial Exponential Decay of Perturbations in a Two‐Dimensional Wave Equation With Optimal Boundary/Line Control

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Recent results have shown that domain‐uniform stabilizability and detectability imply spatial exponential decay of perturbations in optimally controlled hyperbolic PDEs on one‐dimensional domains. This domain‐uniform stabilizability and detectability can be achieved only if the control domain is distributed over the whole spatial domain such ...
Benedikt Oppeneiger
wiley   +1 more source

On the additive image of zeroth persistent homology

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer   +3 more
wiley   +1 more source

Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
wiley   +1 more source

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

Multiecho Fat‐Water Spiral MR Elastography With Distributed Encoding for Simultaneously Imaging Brain and Skull Displacement

open access: yesMagnetic Resonance in Medicine, Volume 96, Issue 4, Page 1617-1628, October 2026.
ABSTRACT Purpose To introduce a novel multiecho, multishot spiral MR elastography (MRE) sequence to image brain and skull displacement simultaneously using a joint fat‐water image reconstruction and distributed motion encoding. Methods Multiple echo times were implemented into a high‐resolution multishot spiral MRE sequence to capture water‐based brain
Alexa M. Diano   +8 more
wiley   +1 more source

BART Streams: Real‐Time Reconstruction Using a Modular Framework for Pipeline Processing

open access: yesMagnetic Resonance in Medicine, Volume 96, Issue 4, Page 1534-1544, October 2026.
ABSTRACT Purpose To create modular solutions for interactive real‐time MRI using reconstruction algorithms implemented in BART. Methods A new protocol for streaming of multidimensional arrays is presented and integrated into BART. The new functionality is demonstrated using examples for cardiac interactive real‐time MRI based on radial FLASH, where ...
Philip Schaten   +4 more
wiley   +1 more source

Model Predictive Control of Gas Networks Based on Port‐Hamiltonian Formulations

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 3, September 2026.
ABSTRACT To efficiently compute optimal compressor actions in gas networks, we investigate port‐Hamiltonian models consisting of linear and a nonlinear model assumptions. The control actions are derived via adjoint‐based gradients that incorporate the constraints of the underlying optimization problem. We then present results from the implementation of
Andres Ortegón‐Villacorte   +1 more
wiley   +1 more source

Time‐Reversal Full Wavefield Inversion: From Waveform Misfit to Wavefield Focus

open access: yesGeophysical Prospecting, Volume 74, Issue 7, September 2026.
ABSTRACT We introduce time‐reversal full wavefield inversion (TRFWI), a velocity‐model‐building method that replaces waveform‐misfit minimization with a physically motivated wavefield‐focusing criterion. The recorded data are reversed in time and backpropagated through a trial velocity model; the inversion objective is the degree to which the wavefield
Evgeny Landa, Sergey Fomel
wiley   +1 more source

New Acoustic Pure P‐ and S‐Wave Equations for Modelling and Reverse Time Migration in Tilted Transversely Isotropic Media

open access: yesGeophysical Prospecting, Volume 74, Issue 7, September 2026.
ABSTRACT To reduce information loss in seismic imaging of complex geological media, it is essential to account for anisotropy, particularly in tilted transversely isotropic (TTI) formations–the most common anisotropy in exploration geophysics. However, the elastic wave equations governing such media inherently couple P$P$‐ and S$S$‐waves, whereas ...
Lucas S. Bitencourt, Reynam C. Pestana
wiley   +1 more source

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