Results 131 to 140 of about 4,731 (254)
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
Communications 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
Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley +1 more source
Spatiotemporal Mapping of Biomechanical Stress Predicts Region-Specific Retinal Injury in a Murine Model of Blunt Ocular Trauma. [PDF]
Bioengineering (Basel)Wang J +6 more
europepmc +1 more source
The synkinesis between antero-posterior eye position and lid fissure width
, 1992 only\ud \ud We have investigates the antero-posterios position of the eye during normal blinking, gentle and hard eye lid closing and voluntary lid widening with 12 young subjects.
Kelly, Stephen +3 more
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ChemPhysChem, Volume 26, Issue 6, March 15, 2025.The correlation of a spectroscopic (EPRI) and microscopic (AFM) technique is demonstrated for a sample of Li deposited on Cu. Areas of different morphology were analysed. The techniques complement each other's length scales as well as the information obtained from the sample.
Beatrice Wolff +5 more
wiley +1 more source
Acoustic‐driven surface cleaning with millimeter‐sized bubbles at translational resonance
Droplet, EarlyView.Time‐lapse visualization comparing bubble trajectories. The top panel (0 Hz) shows a bubble's linear path under no acoustic forcing, while the bottom panel (50 Hz) demonstrates the oscillatory motion induced by acoustic waves at a resonance mode. This mechanism holds promising potential for applications such as surface cleaning.
Yan Jun Lin +2 more
wiley +1 more source
Changes in proptosis and eyelid position following orbital fat decompression for thyroid eye disease. [PDF]
BMC OphthalmolFujita Y, Sato Y, Aikawa M, Kashima T.
europepmc +1 more source
Droplet, EarlyView.Instead of suppressing the ubiquitous “coffee‐ring” effect, we harness it by integrating stretching, inclination, and rotation of soft substrates. This sequential control allows manipulation of global pattern symmetry and local morphology. By incorporating substrate inclination and rotation of stretched soft substrates, we create diverse patterns that ...
Wandong Bai +10 more
wiley +1 more source
Subciliary Closure in Orbital Fractures: A Comparison Between Cutaneous and Cutaneo-periosteal Sutures. [PDF]
Plast Reconstr Surg Glob OpenCastillo-Cardiel MG +14 more
europepmc +1 more source