Results 41 to 50 of about 4,991,356 (250)

Sparse Coding on Symmetric Positive Definite Manifolds Using Bregman Divergences

, 2016
This paper introduces sparse coding and dictionary learning for symmetric positive definite (SPD) matrices, which are often used in machine learning, computer vision, and related areas. Unlike traditional sparse coding schemes that work in vector spaces,
Lovell, Brian, Sanderson, Conrad, Hartley, Richard, Harandi, Mehrtash T   +3 more
core   +1 more source

Sex‐Stratified Association of Regional Dopamine Transporter Binding With Disease Progression in Amyotrophic Lateral Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To clarify the clinical relevance of dopamine transporter single‐photon emission computed tomography (DAT‐SPECT) abnormalities in amyotrophic lateral sclerosis (ALS), with a prespecified focus on sex‐stratified associations with disease progression and short‐term prognosis.
Tomoya Kawazoe, Keizo Sugaya, Kentaro Hayashi, Keiko Hino, Yasuhiro Nakata, Kota Bokuda, Toshio Shimizu, Kazushi Takahashi   +7 more
wiley   +1 more source

Measuring Sphericity in Positive Semi-Definite Matrices

Axioms
The measure of sphericity for positive semi-definite matrices plays a crucial role in understanding their geometric properties, especially in high-dimensional settings.
Dário Ferreira, Sandra S. Ferreira
doaj   +1 more source

“Low‐Positive” MOG‐IgG Cases Among Adults With a First Event Suggestive of Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To determine the prevalence and clinical characteristics of patients with “low‐positive” (LP) MOG‐IgG (titres 1:160–1:320) among adults with a first demyelinating event (FDE) suggestive of multiple sclerosis (MS). Methods From the Barcelona CIS inception cohort, we included adult patients with serum collected ≤ 6 months from the FDE.
Javier Villacieros‐Álvarez, Carmen Espejo, Georgina Arrambide, Mireia Castillo, Marta Rodriguez, Helena Ariño, Iker Elosua, Carmen Tur, Angela Vidal‐Jordana, Andreu Vilaseca, Joaquín Castilló, Ingrid Galán, Luciana Midaglia, Carlos Nos, Breogan Rodríguez‐Acevedo, Ana Zabalza, Luca Bollo, Agustín Pappolla, René Carvajal, Neus Mongay‐Ochoa, Jordi Rio, Jaume Sastre‐Garriga, Manuel Comabella, Gesualdina Busiello, Sofia Sceppacuercia, Àlex Rovira, Xavier Montalban, Mar Tintoré, Cristina Auger, Álvaro Cobo‐Calvo   +29 more
wiley   +1 more source

The Classification of Lattices of Determinant 4 and Rank 5

Axioms
In this paper, we give the classification of the positive definite lattices with determinant 4 and rank 5.
Libo Zhao, Yangming Li, Lü Gong, Lili Li   +3 more
doaj   +1 more source

The positive-definite completion problem

Transactions of the American Mathematical Society
We study the positive-definite completion problem for kernels on a variety of domains and prove results concerning the existence, uniqueness, and characterization of solutions. In particular, we study a special solution called the canonical completion which is the reproducing kernel analogue of the determinant-maximizing completion known to exist for ...
Waghmare, Kartik G., Panaretos, Victor M.   +1 more
openaire   +3 more sources

Troponin T and Neurofilament Light Chain Levels as Complementary Biomarkers of Disease Accumulation and Aggressiveness in Amyotrophic Lateral Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Amyotrophic lateral sclerosis (ALS) is a clinically heterogeneous neurodegenerative disease requiring reliable biomarkers to improve patient stratification and trial design. While serum neurofilament light chain (sNfL) reflects neuroaxonal stress and disease aggressiveness, troponin T (TnT) may capture complementary aspects of ...
Julia Sellin, Sofia Waldorf, Janina von der Gablentz, Torsten Grehl, Huelya Nazlican, Thomas Meyer, Julian Grosskreutz, Patrick Weydt, Sarah Bernsen   +8 more
wiley   +1 more source

On the Positive Definite Lattice with Determinant 5

Axioms
This paper is devoted to providing a classification of positive definite lattices with determinant 5 and a rank less than or equal to 6.
Libo Zhao, Yangming Li, Lü Gong, Huilong Gu   +3 more
doaj   +1 more source

POSITIVE DEFINITE FUNCTIONS AND SHARP INEQUALITIES FOR PERIODIC FUNCTIONS

Ural Mathematical Journal, 2017
Let \(\varphi\) be a positive definite and continuous function on \(\mathbb{R}\), and let \(\mu\) be the corresponding Bochner measure. For fixed \(\varepsilon,\tau\in\mathbb{R}\), \(\varepsilon\ne 0\), we consider a linear operator \(A_{\varepsilon,\tau}
Viktor P. Zastavnyi
doaj   +1 more source

Impact of Age on the Diagnostic Yield of Routine EEG in People With Childhood or Juvenile Absence Epilepsy: A Cross‐Sectional Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background We aimed to identify the proportion of individuals with a confirmed diagnosis of childhood absence epilepsy (CAE) or juvenile absence epilepsy (JAE) who show a negative routine EEG (rEEG), and to determine the main factors associated with this finding.
Francesco Fortunato, Alessia Giugno, Miriam Sturniolo, Enrico Fratto, Pio Zoleo, Francesca Felicia Operto, Ilaria Sammarra, Antonio Gambardella   +7 more
wiley   +1 more source