Results 121 to 130 of about 2,851,799 (287)
Bott–Chern cohomology and q-complete domains [PDF]
In studying the Bott–Chern and Aeppli cohomologies for q-complete manifolds, we introduce the class of cohomologically Bott–Chern q-complete ...
Daniele Angella +3 more
core +1 more source
Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms. [PDF]
Chen BY, Decu S, Vîlcu GE.
europepmc +1 more source
MONOTONE INVARIANTS AND EMBEDDINGS OF STATISTICAL MANIFOLDS [PDF]
In this note we prove certain necessary and sufficient conditions for the existence of an embedding of statistical manifolds. In particular, we prove that any compact smooth ($C^1$ resp.) statistical manifold can be embedded into the space of probability measures on a finite set.
openaire +3 more sources
ABSTRACT Objective To identify inflammatory analytes in cerebrospinal fluid (CSF) and plasma associated with cognitive decline in cognitively normal (CN) older adults at risk for Alzheimer's disease (AD). Methods In a longitudinal study of 118 CN older adults (65–80 years, 54% APOE ε4, 26% preclinical AD), 1331 CSF and 1501 plasma analytes were ...
Jagan A. Pillai +13 more
wiley +1 more source
Investigation of Complement Activation and Cytokine Signatures in AQP4+ NMOSD, MOGAD, and MS
ABSTRACT Objective Aquaporin‐4‐IgG seropositive neuromyelitis optica spectrum disorder (AQP4+ NMOSD), myelin oligodendrocyte glycoprotein antibody‐associated disease (MOGAD), and multiple sclerosis (MS) are pathophysiologically distinct neuroinflammatory disorders. Complement activation is a major mechanism of injury in AQP4+ NMOSD, whereas its role in
Angeliki G. Filippatou +23 more
wiley +1 more source
Para-Holomorphic Statistical Structure with Cheeger Gromoll Metric
We consider the family of λ connections ∇(λ) on a statistical manifold M equipped with a pair of conjugate connections ∇=∇(1) and ∇*=∇(−1), where the λ connection is defined as ∇(λ)=1+λ2∇+1−λ2∇*.
Esmaeil Peyghan +2 more
doaj +1 more source
α-Connections and a Symmetric Cubic Form on a Riemannian Manifold
In this paper, we study the construction of α -conformally equivalent statistical manifolds for a given symmetric cubic form on a Riemannian manifold.
Keiko Uohashi
doaj +1 more source
dynoGP: Deep Gaussian Processes for Dynamic System Identification
This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli +3 more
wiley +1 more source
Geometry of tangent and cotangent bundles on statistical manifolds
This note surveys some results on the geometric structure on the tangent bundle and cotangent bundle of statistical manifolds. We also study the completeness of the tangent bundle with respect to the Sasaki metrics induced from the statistical ...
Puechmorel, Stéphane, Tô, Tat Dat
core +3 more sources
A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
wiley +1 more source

