Results 101 to 110 of about 225,797 (277)

Bayesian Nonlinear Filtering via Information Geometric Optimization

Entropy, 2017
In this paper, Bayesian nonlinear filtering is considered from the viewpoint of information geometry and a novel filtering method is proposed based on information geometric optimization.
Yubo Li, Yongqiang Cheng, Xiang Li, Hongqiang Wang, Xiaoqiang Hua, Yuliang Qin   +5 more
doaj   +1 more source

Hypersurfaces in statistical manifolds

Differential Geometry and its Applications, 2009
A statistical structure on a manifold \(M\) consists of a Riemannian metric \(g\) and a torsion-free affine connection \(\nabla\) that satisfies \( (\nabla_Xg)(Y,Z) = (\nabla_Yg)(X,Z)\) for all vector fields \(X\), \(Y\), and \(Z\) on \(M\). The statistical manifold \((M, \nabla, g)\) has constant curvature \(k\) if \[ R^\nabla(X,Y)Z = k(g(Y,Z)X-g(X,Z ...
openaire   +3 more sources

Discovery and Targeted Proteomic Studies Reveal Striatal Markers Validated for Huntington's Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Clinical trials for Huntington's disease (HD) enrolling persons before clinical motor diagnosis (CMD) lack validated biomarkers. This study aimed to conduct an unbiased discovery analysis and a targeted examination of proteomic biomarkers scrutinized by clinical validation. Methods Cerebrospinal fluid was obtained from PREDICT‐HD and
Daniel Chelsky, Cara Joyce, H. Jeremy Bockholt, Paul A. Rudnick, William H. Adams, Fiona McAllister, Justin W. Smock, Michael A. Newton, Jane S. Paulsen   +8 more
wiley   +1 more source

Developmental, Neuroanatomical and Cellular Expression of Genes Causing Dystonia

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Dystonia is one of the most common movement disorders, with variants in multiple genes identified as causative. However, an understanding of which developmental stages, brain regions, and cell types are most relevant is crucial for developing relevant disease models and therapeutics.
Darren Cameron, Nicholas E. Clifton, Daniel Cabezas de la Fuente, Peter Holmans, Nicholas J. Bray, Kathryn J. Peall   +5 more
wiley   +1 more source

Quasi-Statistical Manifolds with Almost Hermitian and Almost Anti-Hermitian Structures

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let (M, g, ∇) be a 2n-dimensional quasi-statistical manifold that admits a pseudo-Riemannian metric g (or h) and a linear connection ∇ with torsion. This paper aims to study an almost Hermitian structure (g, J ) and an almost anti-Hermitian structure (h,
Aktaş Buşra, Gezer Aydin, Durmaz Olgun
doaj   +1 more source

Curvature Invariants of Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature

Entropy, 2018
In this article, we consider statistical submanifolds of Kenmotsu statistical manifolds of constant ϕ-sectional curvature. For such submanifold, we investigate curvature properties. We establish some inequalities involving the normalized δ-Casorati
Simona Decu, Stefan Haesen, Leopold Verstraelen, Gabriel-Eduard Vîlcu   +3 more
doaj   +1 more source

Characterization of Clinical Phenotype to Glial Fibrillary Acidic Protein Concentrations in Alexander Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To determine the concentration of glial fibrillary acidic protein (GFAP) in cerebrospinal fluid (CSF) and plasma in Alexander disease (AxD) and whether GFAP levels are predictive of disease phenotypes. Methods CSF and plasma were collected (longitudinally when available) from AxD participants and non‐AxD controls.
Amy T. Waldman, Asako Takanohashi, Joshua Y. Joung, Geraldine W. Liu, Kaley Arnold, Amy Pizzino, Walter Faig, Sarah Woidill, Sona Narula, Adeline L. Vanderver   +9 more
wiley   +1 more source

Application of dynamic multi-manifold projections algorithmin statistical process monitoring

Journal of Hebei University of Science and Technology, 2022
To solve the problem of serial correlation of industrial data and the changes of global and local structure of data in some abnormal states,the [BF]"[BFQ]time lag migration" method was used to incorporate dynamic behavior into the multi-manifold ...
Jinyu GUO, Xia WANG
doaj  

Quantum complexity and the virial theorem

Journal of High Energy Physics, 2018
It is conjectured that in the geometric formulation of quantum computing, one can study quantum complexity through classical entropy of statistical ensembles established non-relativistically in the group manifold of unitary operators.
Ning Bao, Junyu Liu
doaj   +1 more source

Discussions on "Riemann manifold Langevin and Hamiltonian Monte Carlo methods"

, 2010
This is a collection of discussions of `Riemann manifold Langevin and Hamiltonian Monte Carlo methods" by Girolami and Calderhead, to appear in the Journal of the Royal Statistical Society, Series B.Comment: 6 pages, one ...
Barthelme, Simon, Beffy, Magali, Chopin, Nicolas, Doucet, Arnaud, Jacob, Pierre, Johansen, Adam M., Marin, Jean-Michel, Robert, Christian P.   +7 more
core   +1 more source