Results 91 to 100 of about 52,688 (215)

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

Bayesian Updating for Stochastic Processes in Infinite-Dimensional Normed Vector Spaces

Axioms
In this paper, we introduce a generalized framework for conditional probability in stochastic processes taking values in infinite-dimensional normed spaces.
Serena Doria
doaj   +1 more source

Comparing Two Novel LiDAR‐Based Indices for Quantifying Forest Structural Complexity

Ecology and Evolution, Volume 16, Issue 5, May 2026.
This study compares two LiDAR‐derived forest structural complexity indices: the fractal‐based box dimension (Db$$ {D}_b $$) and the entropy‐based canopy entropy (CE$$ CE $$). Analysis of 170 plots revealed a strong linear correlation (r = 0.823) between Db$$ {D}_b $$ and CE$$ CE $$, but computation was much slower.
Tillman Reuter, Sebastian Seidel, Dominik Seidel   +2 more
wiley   +1 more source

Bregman–Hausdorff Divergence: Strengthening the Connections Between Computational Geometry and Machine Learning

Machine Learning and Knowledge Extraction
The purpose of this paper is twofold. On a technical side, we propose an extension of the Hausdorff distance from metric spaces to spaces equipped with asymmetric distance measures.
Tuyen Pham, Hana Dal Poz Kouřimská, Hubert Wagner   +2 more
doaj   +1 more source

From Low Field to High Value: Robust Cortical Mapping From Low‐Field MRI

Human Brain Mapping, Volume 47, Issue 7, May 2026.
Recon‐any processes a brain MRI acquired with arbitrary contrast, resolution, and field strength to generate morphometric measurements comparable to FreeSurfer's recon‐all, including cortical (parcellation, thickness, etc.) and volumetric (segmentation, regional volumes) outputs.
Karthik Gopinath, Annabel Sorby‐Adams, Jonathan Williams‐Ramirez, Dina Zemlyanker, Jennifer Guo, David Hunt, Christine L. Mac Donald, C. Dirk Keene, Timothy Coalson, Matthew F. Glasser, David Van Essen, Matthew S. Rosen, Oula Puonti, W. Taylor Kimberly, Juan Eugenio Iglesias, Alzheimer's Disease Neuroimaging Initiative   +15 more
wiley   +1 more source

Several Similarity Measures of Neutrosophic Sets [PDF]

Neutrosophic Sets and Systems, 2013
Smarandache (1995) defined the notion of neutrosophic sets, which is a generalization of Zadeh's fuzzy set and Atanassov's intuitionistic fuzzy set. In this paper, we first develop some similarity measures of neutrosophic sets.
Said Broumi, Florentin Smarandache
doaj  

Local Hausdorff Measure

, 2016
A local Hausdorff dimension is defined on a metric space. We study its properties and use it to define a local Hausdorff measure. We show that in the case that in the local Hausdorff measure is finite we can recover the global Hausdorff dimension from the local one. Lastly, for a variable Ahlfors Q-regular measure on a compact metric space, we show the
openaire   +2 more sources

A Systematic Review on Applications of Artificial Intelligence for Obesity Prevention

Obesity Reviews, Volume 27, Issue 5, May 2026.
ABSTRACT This systematic review examines the applications of artificial intelligence (AI) in preventing obesity, addressing a critical public health issue that affects a substantial portion of the population. With obesity rates rising alarmingly, particularly in the United States, this review synthesizes findings from 46 studies published between 2008 ...
Atefehsadat Haghighathoseini, Shuo‐yu Lin, Ge Song, Ruopeng An, Hong Xue   +4 more
wiley   +1 more source

Boundary unique continuation in planar domains by conformal mapping

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract Let Ω⊂R2$\Omega \subset \mathbb {R}^2$ be a chord arc domain. We give a simple proof of the the following fact, which is commonly known to be true: a nontrivial harmonic function which vanishes continuously on a relatively open set of the boundary cannot have the norm of the gradient which vanishes on a subset of positive surface measure (arc ...
Stefano Vita
wiley   +1 more source

On the exceptional set in Littlewood's discrete conjecture

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We consider a discrete analogue of the well‐known Littlewood conjecture on Diophantine approximations and obtain a strong upper bound for the number of exceptional vectors in this conjecture.
I. D. Shkredov
wiley   +1 more source