Results 11 to 20 of about 69,690 (223)

On the vectorial multifractal analysis in a metric space

open access: yesAIMS Mathematics, 2023
Multifractal analysis is typically used to describe objects possessing some type of scale invariance. During the last few decades, multifractal analysis has shown results of outstanding significance in theory and applications. In particular, it is widely
Najmeddine Attia, Amal Mahjoub
doaj   +1 more source

GAN‐LSTM‐3D: An efficient method for lung tumour 3D reconstruction enhanced by attention‐based LSTM

open access: yesCAAI Transactions on Intelligence Technology, EarlyView., 2023
Abstract Three‐dimensional (3D) image reconstruction of tumours can visualise their structures with precision and high resolution. In this article, GAN‐LSTM‐3D method is proposed for 3D reconstruction of lung cancer tumours from 2D CT images. Our method consists of three phases: lung segmentation, tumour segmentation, and tumour 3D reconstruction. Lung
Lu Hong   +12 more
wiley   +1 more source

Vector lattices with a Hausdorff uo-Lebesgue topology

open access: yes, 2021
We investigate the construction of a Hausdorff uo-Lebesgue topology on a vector lattice from a Hausdorff (o)-Lebesgue topology on an order dense ideal, and what the properties of the topologies thus obtained are.
de Jeu, Marcel, Deng, Yang
core   +1 more source

A note on Gromov-Hausdorff-Prokhorov distance between (locally) compact measure spaces [PDF]

open access: yes, 2012
We present an extension of the Gromov-Hausdorff metric on the set of compact metric spaces: the Gromov-Hausdorff-Prokhorov metric on the set of compact metric spaces endowed with a finite measure. We then extend it to the non-compact case by describing a
Abraham, Romain   +2 more
core   +5 more sources

Hausdorff and packing dimension of fibers and graphs of prevalent continuous maps [PDF]

open access: yes, 2015
The notions of shyness and prevalence generalize the property of being zero and full Haar measure to arbitrary (not necessarily locally compact) Polish groups.
Balka, Richárd   +2 more
core   +2 more sources

The Wire Is Not the Territory: Understanding Representational Drift in Olfaction With Dynamical Systems Theory

open access: yesTopics in Cognitive Science, EarlyView., 2023
Abstract Representational drift is a phenomenon of increasing interest in the cognitive and neural sciences. While investigations are ongoing for other sensory cortices, recent research has demonstrated the pervasiveness in which it occurs in the piriform cortex for olfaction.
Ann‐Sophie Barwich   +1 more
wiley   +1 more source

Abduction and Deduction in Dynamical Cognitive Science

open access: yesTopics in Cognitive Science, EarlyView., 2023
Abstract This paper reviews the recent history of a subset of research in dynamical cognitive science, in particular that subset that allies itself with the sciences of complexity and casts cognitive systems as interaction dominant, noncomputational, and nonmodular. I look at this history in the light of C.S.
Anthony Chemero
wiley   +1 more source

Something About h - Measures of Sets in Plane

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
In this article we estimate the Hausdorff h-measures of the graphs of some functions, for different measure functions.
Bărbulescu Alina
doaj   +1 more source

Exceptional families of measures on Carnot groups

open access: yesAnalysis and Geometry in Metric Spaces, 2023
We study the families of measures on Carnot groups that have vanishing pp-module, which we call Mp{M}_{p}-exceptional families. We found necessary and sufficient Conditions for the family of intrinsic Lipschitz surfaces passing through a common point to ...
Franchi Bruno, Markina Irina
doaj   +1 more source

Intersections of Projections and Slicing Theorems for the Isotropic Grassmannian and the Heisenberg group

open access: yesAnalysis and Geometry in Metric Spaces, 2020
This paper studies the Hausdorff dimension of the intersection of isotropic projections of subsets of ℝ2n, as well as dimension of intersections of sets with isotropic planes. It is shown that if A and B are Borel subsets of ℝ2n of dimension greater than
Román-García Fernando
doaj   +1 more source

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