Results 111 to 120 of about 225,797 (277)

Geometry of statistical manifolds

Differential Geometry and its Applications, 1992
A statistical manifold \((M,g,\nabla)\) is a Riemannian manifold \((M,g)\) equipped with torsion-free affine connections \(\nabla,\nabla^*\) which are dual with respect to \(g\). A point \(p\in M\) is said to be \(\nabla\)- isotropic if the sectional curvatures have the same value \(k(p)\), and \((M,g,\nabla)\) is said to be \(\nabla\)-isotropic when \(
openaire   +2 more sources

Unraveling the Molecular Mechanisms of Glioma Recurrence: A Study Integrating Single‐Cell and Spatial Transcriptomics

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Glioma recurrence severely impacts patient prognosis, with current treatments showing limited efficacy. Traditional methods struggle to analyze recurrence mechanisms due to challenges in assessing tumor heterogeneity, spatial dynamics, and gene networks.
Lei Qiu, Yinjiao Fei, Jiaxuan Ding, Kexin Shi, Jinyan Luo, Yuchen Zhu, Xingjian Sun, Gefei Jiang, Yuandong Cao, Weilin Xu, Shu Zhou   +10 more
wiley   +1 more source

A holistic similarity measure for GMMs by embedding it into the manifold of SPD matrices

Applied Mathematics in Science and Engineering
In this paper, a new similarity measure for comparing two Gaussian Mixture Models (GMMs) is obtained. This is based on an embedding of the manifold of K-component GMMs into the manifold of the symmetric positive definite matrices (SPD).
Amit Vishwakarma, K. S. Subrahamanian Moosath   +1 more
doaj   +1 more source

Information Geometry on the \(\kappa\)-Thermostatistics

Entropy, 2015
We explore the information geometric structure of the statistical manifold generated by the \(\kappa\)-deformed exponential family. The dually-flat manifold is obtained as a dualistic Hessian structure by introducing suitable generalization of the Fisher
Tatsuaki Wada, Antonio M. Scarfone
doaj   +1 more source

Impact of Asymptomatic Intracranial Hemorrhage on Outcome After Endovascular Stroke Treatment

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Endovascular treatment (EVT) achieves high rates of recanalization in acute large‐vessel occlusion (LVO) stroke, but functional recovery remains heterogeneous. While symptomatic intracranial hemorrhage (sICH) has been well studied, the prognostic impact of asymptomatic intracranial hemorrhage (aICH) after EVT is less certain ...
Shihai Yang, Chengsong Yue, Zhuang Li, Xiaolei Shi, Haoxuan Zhu, Jie Yang, Linyu Li, Jiaxing Song, Shitao Fan, Gaoming Li, Wenzhe Sun, Zhixian Ye, Jiacheng Huang, Dahong Yang, Jinfu Ma, Xu Xu, Zhixi Wang, Lilan Wang, Guojian Liu, Fengli Li, Changwei Guo, Li Qi, Wenjie Zi   +22 more
wiley   +1 more source

Fluid Biomarkers of Disease Burden and Cognitive Dysfunction in Progressive Supranuclear Palsy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Identifying objective biomarkers for progressive supranuclear palsy (PSP) is crucial to improving diagnosis and establishing clinical trial and treatment endpoints. This study evaluated fluid biomarkers in PSP versus controls and their associations with regional 18F‐PI‐2620 tau‐PET, clinical, and cognitive outcomes.
Roxane Dilcher, Charles B. Malpas, Stuart J. McDonald, William T. O’Brien, Craig Despott, Kelly L. Bertram, Matthew P. Pase, Lukas Frontzkowski, Meng Law, Terence J. O’Brien, Lucy Vivash   +10 more
wiley   +1 more source

A Statistical Cohomogeneity One Metric on the Upper Plane with Constant Negative Curvature

Advances in Mathematical Physics, 2014
we analyze the geometrical structures of statistical manifold S consisting of all the wrapped Cauchy distributions. We prove that S is a simply connected manifold with constant negative curvature K=-2. However, it is not isometric to the hyperbolic space
Limei Cao, Didong Li, Erchuan Zhang, Zhenning Zhang, Huafei Sun   +4 more
doaj   +1 more source

Robust PCA by Manifold Optimization

, 2017
Robust PCA is a widely used statistical procedure to recover a underlying low-rank matrix with grossly corrupted observations. This work considers the problem of robust PCA as a nonconvex optimization problem on the manifold of low-rank matrices, and ...
Yang, Yi, Zhang, Teng
core  

A Prospective Study of Individuals at Risk of Multiple Sclerosis Informs the Design of Primary Prevention Studies

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective In multiple sclerosis, the optimal time for deploying a therapeutic intervention is before the central nervous system is damaged; given the success of trials treating the earliest stage of MS, the radiologically isolated syndrome, developing primary prevention strategies is an important next challenge.
Amy W. Laitinen, Ceren Tozlu, Tina Roostaei, Fatoumata Diallo, Kaho Onomichi, Jiyeon Son, Zongqi Xia, Philip L. De Jager   +7 more
wiley   +1 more source

Ketogenic Diet as an Epigenetic Therapy in SETD1B‐Related Epilepsy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Histone lysine methyltransferases such as SETD1B regulate chromatin structure and gene transcription. Ketone bodies, including butyrate, act as histone deacetylase inhibitors. We report a 4‐year‐old boy with SETD1B‐related absence epilepsy, refractory to conventional medications, who achieved sustained > 90% seizure reduction on the Modified ...
Erica Tsang, Brian S. Gloss, Jessica P. Hayes, Andrew J. A. Holland, Manoj P. Menezes, Joceline A. Branson, Shekeeb S. Mohammad, Jingya J. Yan, Shrujna Patel, Velda X. Han, Russell C. Dale   +10 more
wiley   +1 more source