Results 181 to 190 of about 25,799 (301)

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone   +3 more
wiley   +1 more source

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

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
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

Quantitative Detection of Entotic Cell‐In‐Cell Structures Using Deformable Segmentation and Deep Learning

open access: yesCytometry Part A, EarlyView.
ABSTRACT Cell‐in‐cell (CIC) structures are among the most intriguing cellular phenomena occasionally observed in human cancer specimens. Once regarded as incidental findings, accumulating evidence has linked specific CIC subtypes, particularly entosis, to tumor progression and patient prognosis.
Maria V. Leyba‐Mesa   +4 more
wiley   +1 more source

Species traits mediate the abundant‐center patterns in ground‐dwelling mammal and bird species in China

open access: yesEcography, EarlyView.
The abundance center hypothesis (ACH) posits that species abundance peaks at distribution centers; however, empirical support remains inconsistent. This study tested the generality of the ACH and investigated species traits as mediators of abundance–distance relationships.
Ludan Zhang   +7 more
wiley   +1 more source

Similar locomotor patterns across Quarter Horse disciplines inform lameness assessment

open access: yesEquine Veterinary Journal, EarlyView.
Abstract Background Lineage‐based selection is central to the Quarter Horse industry and is often justified by the assumption that morphology determines locomotor function. However, objective evidence linking static conformation to discipline‐specific locomotor behaviour under standardised conditions remains limited.
Renata Farinelli de Siqueira   +4 more
wiley   +1 more source

HYPERBOLIC MODEL AGGREGATION FOR FEDERATED LEARNING IN FMRI. [PDF]

open access: yesProc IEEE Int Symp Biomed Imaging
Wang J   +5 more
europepmc   +1 more source

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