Results 121 to 130 of about 685,164 (300)
Free Probability Theory Over the Scaled Hyperbolic Numbers
In this paper, we introduce a notion of free probability over the scaled hyperbolic numbers. Scaled hypercomplex numbers {Dt} t∈R are constructed as sub-structures of scaled hypercomplex numbers {Ht} t∈R under the scales (or, the moments) of the set R of
Alpay, Daniel, Choo, Ilwoo
core +1 more source
Channel Capacity Estimation Using Free-Probability Theory
, 2007 International audienceIn many channel measurement applications, one needs to estimate some characteristics of the channels based on a limited set of measurements. This is mainly due to the highly time varying characteristics of the channel. In this paper,
O. Ryan +4 more
core +2 more sources
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Facioscapulohumeral muscular dystrophy (FSHD) is one of the most debilitating and common muscular dystrophies. Despite its severity, no approved therapy exists for FSHD patients. However, several therapeutic candidates are currently under development, and some have recently entered clinical trials, marking the need for reliable ...
Mustafa Bilal Bayazit +11 more
wiley +1 more source
An Overview of Operator-Valued Bi-Free Independence and Bi-Matrix Models
, 2017 In this talk, we will provide an overview of the structures and constructions developed to study bi-free independence. In particular, we will focus on several results pertaining to operator-valued bi-free probability.
Skoufranis, Paul
core
SIGNAL PROCESSING APPLICATIONS OF FREE PROBABILITY THEORY
, 2007 International audienceSituations in many fields of research, such as digital communications, nuclear physics and mathematical finance, can be modelled with random matrices.
Debbah, Merouane, Ryan, Øyvind
core +1 more source
Uncovering G Protein‐Coupled Receptors: Novel Targets and Biomarkers for Predicting Glioma Prognosis
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Low‐grade gliomas (LGG) exhibit significant heterogeneity and recurrence risk. G protein‐coupled receptors (GPCR) contribute to glioma malignant progression, but their prognostic value remains unclear. This work attempts to formulate a GPCR‐based outcome‐predicting model for LGG. Methods Based on TCGA LGG data, the enrichment scores
Jun Yang +4 more
wiley +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objectives We aimed to determine the frequency of subclinical optic nerve (ON) lesions using MRI, optical coherence tomography (OCT), and visual evoked potentials (VEP) in radiologically isolated syndrome (RIS), and to assess their diagnostic and prognostic significance.
Christine Lebrun‐Frenay +13 more
wiley +1 more source
Multinomial identities arising from free probability theory
, 2003 We prove a family of new identities fulfilled by multinomial coefficients, which were conjectured by Dykema and Haagerup. Our method bases on a study of the so-called triangular operator T by the means of the free probability ...
Śniady, Piotr
core +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objectives Focal cortical dysplasia (FCD) is the most common etiology of drug‐resistant epilepsy in children. Focal to bilateral tonic–clonic seizures (FBTCS) mark a high risk of drug‐resistant epilepsy and involve thalamocortical circuitry in their generation and propagation.
Hua Xie +8 more
wiley +1 more source
Basic concepts of free probability theory
, 2016 Free probability theory was created by Dan Voiculescu, motivated by his efforts to understand special classes of von Neumann algebras. In the following we will give, mostly from the probability point of view, a survey on some of the basic ideas and ...
Ejsmont, Wiktor
core