Coordinate distribution of Gaussian primes
We study the problem of writing Gaussian primes as the sum of two squares, both of which are interesting arithmetically, in particular, when one is the square of a prime and the other the square of an almost-prime.
Friedlander, John, Iwaniec, Henryk
openaire +3 more sources
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 +7 more
wiley +1 more source
Distributed Estimation of Gaussian Correlations [PDF]
We study a distributed estimation problem in which two remotely located parties, Alice and Bob, observe an unlimited number of i.i.d. samples corresponding to two different parts of a random vector. Alice can send $k$ bits on average to Bob, who in turn wants to estimate the cross-correlation matrix between the two parts of the vector.
Uri Hadar, Ofer Shayevitz
openaire +3 more sources
Hierarchical Gaussian process mixtures for regression [PDF]
As a result of their good performance in practice and their desirable analytical properties, Gaussian process regression models are becoming increasingly of interest in statistics, engineering and other fields.
Titterington, D.M. +2 more
core +1 more source
Natural Frequencies of Levodopa‐Induced Dyskinesia in Parkinson's Disease
ABSTRACT Objectives Abnormal involuntary movements, known as dyskinesias, are common complications of levodopa treatment in patients with Parkinson's disease and can significantly impair quality of life. The underlying pathophysiology remains unclear, and current therapeutic options are limited.
Ioannis U. Isaias +3 more
wiley +1 more source
Tractable nonparametric Bayesian inference in Poisson processes with Gaussian process intensities [PDF]
The inhomogeneous Poisson process is a point process that has varying intensity across its domain (usually time or space). For nonparametric Bayesian modeling, the Gaussian process is a useful way to place a prior distribution on this intensity.
Murray, Iain +6 more
core +1 more source
Stage‐Dependent β‐Synuclein Links MRI and Cognitive Decline in Alzheimer's Disease
ABSTRACT Objective Synaptic degeneration drives cognitive decline in Alzheimer's disease (AD), but synaptic biomarkers are scarce. Brain‐enriched β‐synuclein emerged as a synaptic damage marker. We investigated its diagnostic, prognostic, and structural correlates across the AD continuum.
Ulaş Ay +15 more
wiley +1 more source
Flexible time series models for subjective distribution estimation with monetary policy in view [PDF]
In this paper, we introduce a new approach to estimate the subjective distribution of the future short rate from the historical dynamics of futures, based on a model generated by a Normal Inverse Gaussian distribution, with dynamical parameters.
Dominique Guegan, Florian Ielpo
core +2 more sources
White Matter and Perivascular Imaging Changes in Alzheimer's Disease and Cerebral Amyloid Angiopathy
ABSTRACT Objective Peak‐width of skeletonized mean diffusivity (PSMD) and diffusion tensor imaging–analysis along the perivascular space (DTI‐ALPS), reflecting white matter integrity and glymphatic function, are altered in Alzheimer's disease (AD).
Debina Laishram +3 more
wiley +1 more source
A COMPARATIVE ANALYSIS OF RADIATION FROM CIRCULAR AND RECTANGULAR APERTURES: LIMITATIONS ON THEIR USE FOR BESSEL BEAM FORMATION [PDF]
Subject and Purpose. Essentials of the processes for millimeter-wavelength radiation from circular apertures are analyzed, with emphasis on the formation of the field’s radiation pattern (RP) and modal structure in the aperture.
I. K. Kuzmychov +5 more
doaj +1 more source

