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We derive, using functional methods and the bias expansion, the conditional likelihood for observing a specific tracer field given an underlying matter field. This likelihood is necessary for Bayesian-inference methods. If we neglect all…

宇宙学与河外天体物理 · 物理学 2020-05-06 Giovanni Cabass , Fabian Schmidt

A statistical method for the elicitation of priors in Bayesian generalised linear models (GLMs) and extensions is proposed. Probabilistic predictions are elicited from the expert to parametrise a multivariate t prior distribution for the…

统计方法学 · 统计学 2025-02-21 Geoffrey R. Hosack

In many fields of science, generalized likelihood ratio tests are established tools for statistical inference. At the same time, it has become increasingly common that a simulator (or generative model) is used to describe complex processes…

应用统计 · 统计学 2016-03-21 Kyle Cranmer , Juan Pavez , Gilles Louppe

We use the GALPROP model for cosmic-ray (CR) propagation to obtain our best prediction of the Galactic component of gamma rays, and show that away from the Galactic plane it gives an accurate prediction of the observed EGRET intensities. On…

天体物理学 · 物理学 2007-05-23 A. W. Strong , I. V. Moskalenko , O. Reimer

We study the problem of detecting a change in the mean of one-dimensional Gaussian process data. This problem is investigated in the setting of increasing domain (customarily employed in time series analysis) and in the setting of fixed…

统计理论 · 数学 2017-04-11 Hossein Keshavarz , Clayton Scott , XuanLong Nguyen

Cognitive radios sense the radio spectrum in order to find unused frequency bands and use them in an agile manner. Transmission by the primary user must be detected reliably even in the low signal-to-noise ratio (SNR) regime and in the face…

信息论 · 计算机科学 2007-07-13 Jarmo Lundén , Visa Koivunen , Anu Huttunen , H. Vincent Poor

Off-grid targets whose Doppler (or angle) does not lie on the discrete processing grid can severely degrade classical normalized matched-filter (NMF) detectors: even at high SNR, the detection probability may saturate at operationally…

信号处理 · 电气工程与系统科学 2026-02-17 Yadang Alexis Rouzoumka , Jean Pinsolle , Eugénie Terreaux , Christèle Morisseau , Jean-Philippe Ovarlez , Chengfang Ren

A blind target detector using the time reversal transmission is proposed in the presence of channel correlation. We calculate the exact moments of the test statistics involved. The derived moments are used to construct an accurate…

信息论 · 计算机科学 2015-06-12 Zhong Zheng , Lu Wei , Jyri Hämäläinen , Olav Tirkkonen

We propose a novel kernel-based nonparametric two-sample test, employing the combined use of kernel mean and kernel covariance embedding. Our test builds on recent results showing how such combined embeddings map distinct probability…

机器学习 · 统计学 2025-09-16 Leonardo V. Santoro , Victor M. Panaretos

Generalized Chinese Remainder Theorem (CRT) has been shown to be a powerful approach to solve the ambiguity resolution problem. However, with its close relationship to number theory, study in this area is mainly from a coding theory…

机器学习 · 统计学 2018-11-29 Nan Du , Zhikang Wang , Hanshen Xiao

In this letter we propose the Rao test as a simpler alternative to the generalized likelihood ratio test (GLRT) for multisensor fusion. We consider sensors observing an unknown deterministic parameter with symmetric and unimodal noise. A…

信息论 · 计算机科学 2013-08-15 D. Ciuonzo , G. Papa , G. Romano , P. Salvo Rossi , P. K. Willett

In this paper, we develop a generalization of the Gaussian quasi score test (GQST) for composite binary hypothesis testing. The proposed test, called measure transformed GQST (MT-GQST), is based on the score-function of the measure…

统计方法学 · 统计学 2016-11-15 Koby Todros

In this article, we evaluate the performance of a data-driven background estimate method based on Gaussian Process Regression (GPR). A realistic background spectrum from a search conducted by CMS is considered, where a large sub-region…

高能物理 - 实验 · 物理学 2025-08-20 Jackson Barr , Bingxuan Liu

Transformer channel decoders, such as the Error Correction Code Transformer (ECCT), have shown strong empirical performance in channel decoding, yet their generalization behavior remains theoretically unclear. This paper studies the…

信息论 · 计算机科学 2026-01-13 Qinshan Zhang , Bin Chen , Yong Jiang , Shu-Tao Xia

Although general relativity underlies modern cosmology, its applicability on cosmological length scales has yet to be stringently tested. Such a test has recently been proposed, using a quantity, EG, that combines measures of large-scale…

宇宙学与河外天体物理 · 物理学 2010-03-11 Reinabelle Reyes , Rachel Mandelbaum , Uros Seljak , Tobias Baldauf , James E. Gunn , Lucas Lombriser , Robert E. Smith

This paper investigates improved testing inferences under a general multivariate elliptical regression model. The model is very flexible in terms of the specification of the mean vector and the dispersion matrix, and of the choice of the…

统计理论 · 数学 2016-11-01 T. F. N. Melo , S. L. P. Ferrari , A. G. Patriota

The univariate generalized extreme value (GEV) distribution is the most commonly used tool for analyzing the properties of rare events. The ever greater utilization of Bayesian methods for extreme value analysis warrants detailed…

统计理论 · 数学 2023-07-03 Likun Zhang , Benjamin A. Shaby

We propose the Generalized Probabilistic U-Net, which extends the Probabilistic U-Net by allowing more general forms of the Gaussian distribution as the latent space distribution that can better approximate the uncertainty in the reference…

计算机视觉与模式识别 · 计算机科学 2022-07-27 Ishaan Bhat , Josien P. W. Pluim , Hugo J. Kuijf

We consider the problem of detecting the presence of a spatially correlated multichannel signal corrupted by additive Gaussian noise (i.i.d across sensors). No prior knowledge is assumed about the system parameters such as the noise…

信息论 · 计算机科学 2013-04-19 Vidyadhar Upadhya , Devendra Jalihal

Let $f(y|\theta), \; \theta \in \Omega$ be a parametric family, $\eta(\theta)$ a given function, and $G$ an unknown mixing distribution. It is desired to estimate $E_G (\eta(\theta))\equiv \eta_G$ based on independent observations…

统计理论 · 数学 2022-07-29 Eitan Greenshtein , Ya'acov Ritov