Results 61 to 70 of about 9,371 (281)

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

Comptes 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

Synchrotron‐Based Deep Learning Network of the Inner Ear: Development and Expert Validation

The Laryngoscope, EarlyView.
A deep learning network to automatically segment the inner ear from preoperative clinical scans was developed using synchrotron‐radiation phase contrast imaging (SR‐PCI). On an unseen test set, the network significantly outperformed seven expert otologists/radiologists, the mean expert segmentation, and a simultaneous truth and performance level ...
Ashley Micuda, Kyle Rioux, Luke Helpard, Munir Demir Bajin, Zahra Kassam, Sachin Pandey, Jaehyun Hwang, Griselda T. Romero‐Sanchez, Manas Sharma, Lorne S. Parnes, Hanif M. Ladak, Sumit K. Agrawal   +11 more
wiley   +1 more source

Estimating the Hausdorff measure by recurrence [PDF]

, 2023
We show a new method of estimating the Hausdorff measure (of the proper dimension) of a fractal set from below.
Pawelec, Ł.
core   +1 more source

Estimating Hausdorff measure for Denjoy maps [PDF]

, 2023
Article describes how the authors plant to deal with orientation preserving homeomorphisms and, more specifically, diffeomorphisms of the unit circle S1.
Łukasz Pawelec, Urbański, Mariusz, Pawelec, Łukasz, Mariusz Urbański   +3 more
core   +1 more source

Hausdorff measures and KMS states [PDF]

Indiana University Mathematics Journal, 2013
18 pages, 1 ...
Ionescu, Marius, Kumjian, Alex
openaire   +2 more sources

Bayesian Optimization of Grayscale Patterns for Layer‐Height Accuracy in Projection Multi‐Photon 3D Printing

Laser &Photonics Reviews, EarlyView.
Bayesian optimization combined with in situ quantitative phase imaging enables autonomous correction of layer‐height deviations in projection multi‐photon lithography. By jointly tuning model parameters and grayscale exposure settings, the method achieves more uniform and accurate layers within 300 prints, offering a fast, data‐efficient route to ...
Jason E. Johnson, Xianfan Xu
wiley   +1 more source

Visibility and Intersection Density for Boolean Models in Hyperbolic Space

Mathematische Nachrichten, EarlyView.
ABSTRACT For Poisson particle processes in hyperbolic space we introduce and study concepts analogous to the intersection density and the mean visible volume, which were originally considered in the analysis of Boolean models in Euclidean space. In particular, we determine a necessary and sufficient condition for the finiteness of the mean visible ...
Tillmann Bühler, Daniel Hug, Christoph Thäle   +2 more
wiley   +1 more source

On the Existential Theory of the Completions of a Global Field

Mathematische Nachrichten, EarlyView.
ABSTRACT We discuss the common existential theory of all or almost all completions of a global function field.
Philip Dittmann, Arno Fehm
wiley   +1 more source

Compactness via Hausdorff measure of non-compactness and some properties on Tetranacci sequence spaces

Dera Natung Government College Research Journal
The characterization of compact operators on BK-spaces, which is the basis of this research, makes use of the Hausdorff measure of non-compactness. In this study, the compactness criteria of matrix operators defined on BK-spaces $\ell_p(\mathcal{T})$ and
Sezer Erdem, Serkan Demiriz
doaj   +1 more source

On the Hausdorff measure of noncompactness for the parameterized Prokhorov metric

Journal of Inequalities and Applications, 2016
We quantify the Prokhorov theorem by establishing an explicit formula for the Hausdorff measure of noncompactness (HMNC) for the parameterized Prokhorov metric on the set of Borel probability measures on a Polish space.
Ben Berckmoes
doaj   +1 more source