Results 81 to 90 of about 66,461 (287)

On the Billingsley dimension of Birkhoff average in the countable symbolic space

open access: yesComptes Rendus. Mathématique, 2020
We compute a lower bound of Billingsley–Hausdorff dimension, defined by Gibbs measure, of the level set related to Birkhoff average in the countable symbolic space $\mathbb{N}^{\mathbb{N}}$.
Attia, Najmeddine, Selmi, Bilel
doaj   +1 more source

Fractal properties of particle paths due to generalised uncertainty relations

open access: yesEuropean Physical Journal C: Particles and Fields, 2022
We determine the Hausdorff dimension of a particle path, $$D_\textrm{H}$$ D H , in the recently proposed ‘smeared space’ model of quantum geometry. The model introduces additional degrees of freedom to describe the quantum state of the background and ...
Matthew J. Lake
doaj   +1 more source

Deep learning assisted high‐resolution microscopy image processing for phase segmentation in functional composite materials

open access: yesJournal of Microscopy, EarlyView.
Abstract In the domain of battery research, the processing of high‐resolution microscopy images is a challenging task, as it involves dealing with complex images and requires a prior understanding of the components involved. The utilisation of deep learning methodologies for image analysis has attracted considerable interest in recent years, with ...
Ganesh Raghavendran   +7 more
wiley   +1 more source

Computational aspects of the Hausdorff distance in unbounded dimension

open access: yesJournal of Computational Geometry, 2014
We study the computational complexity of determining the Hausdorff distance oftwo polytopes given in halfspace- or vertex-presentation in arbitrary dimension.
Stefan König
doaj   +1 more source

The Hausdorff dimension of the visible sets of planar continua [PDF]

open access: yes, 2007
For a compact set $\Gamma\subset\Bbb{R}^2$ and a point $x$, we define the visible part of $\Gamma$ from $x$ to be the set $\Gamma_x = \{u \in\Gamma : [x, u] \cap\Gamma = \{u\}\}.$ (Here $[x, u]$ denotes the closed line segment joining $x$ to $u$.)
O'Neil, Toby
core  

Numerical estimates of Hausdorff dimension [PDF]

open access: yesJournal of Computational Physics, 1982
Numerical methods for estimating Hausdorff dimension, useful in the analysis of turbulence, are explained and applied to a specific example. In particular, methods involving rescaling and approximation by Cantor sets are discussed.
openaire   +3 more sources

A Systematic Review on Applications of Artificial Intelligence for Obesity Prevention

open access: yesObesity Reviews, EarlyView.
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   +4 more
wiley   +1 more source

Hausdorff Dimension of Centered Sets

open access: yesReal Analysis Exchange, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Adaptive blind image deblurring and denoising

open access: yesScandinavian Journal of Statistics, EarlyView.
Abstract Blind image deblurring aims to reconstruct the original image from its blurred version without knowing the blurring mechanism. This is a challenging ill‐posed problem because there are infinitely many possible solutions. The ill‐posedness is further exacerbated if the blurring mechanism depends on the pixel location.
Yicheng Kang   +2 more
wiley   +1 more source

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