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A topological multiple testing scheme for one-dimensional domains is proposed where, rather than testing every spatial or temporal location for the presence of a signal, tests are performed only at the local maxima of the smoothed observed…

统计理论 · 数学 2012-03-15 Armin Schwartzman , Yulia Gavrilov , Robert J. Adler

This paper considers the problem of detecting equal-shaped non-overlapping unimodal peaks in the presence of Gaussian ergodic stationary noise, where the number, location and heights of the peaks are unknown. A multiple testing approach is…

统计方法学 · 统计学 2010-08-12 Armin Schwartzman , Yulia Gavrilov , Robert J. Adler

A new approach to detect change points based on differential smoothing and multiple testing is presented for long data sequences modeled as piecewise constant functions plus stationary ergodic Gaussian noise. As an application of the STEM…

统计理论 · 数学 2019-11-20 Dan Cheng , Zhibing He , Armin Schwartzman

A topological multiple testing approach to peak detection is proposed for the problem of detecting transcription factor binding sites in ChIP-Seq data. After kernel smoothing of the tag counts over the genome, the presence of a peak is…

应用统计 · 统计学 2013-05-29 Armin Schwartzman , Andrew Jaffe , Yulia Gavrilov , Clifford A. Meyer

In this paper, we propose a new generic method for detecting the number and locations of structural breaks or change points in piecewise linear models under stationary Gaussian noise. Our method transforms the change point detection problem…

统计方法学 · 统计学 2026-01-14 Zhibing He , Dan Cheng , Yunpeng Zhao

This paper studies the classical problem of estimating the locations of signal occurrences in a noisy measurement. Based on a multiple hypothesis testing scheme, we design a K-sample statistical test to control the false discovery rate…

信号处理 · 电气工程与系统科学 2022-09-26 Uriel Shiterburd , Tamir Bendory , Amichai Painsky

Traditional voxel-level multiple testing procedures in neuroimaging, mostly $p$-value based, often ignore the spatial correlations among neighboring voxels and thus suffer from substantial loss of power. We extend the…

应用统计 · 统计学 2016-07-29 Hai Shu , Bin Nan , Robert Koeppe

We present false discovery rate smoothing, an empirical-Bayes method for exploiting spatial structure in large multiple-testing problems. FDR smoothing automatically finds spatially localized regions of significant test statistics. It then…

统计方法学 · 统计学 2016-11-15 Wesley Tansey , Oluwasanmi Koyejo , Russell A. Poldrack , James G. Scott

Smoothing is widely used approach for measurement noise reduction in spectral analysis. However, it suffers from signal distortion caused by peak suppression. A locally self-adjustive smoothing method is developed that retains sharp peaks…

信号处理 · 电气工程与系统科学 2023-10-30 Keisuke Ozawa , Tomoya Itakura , Taisuke Ono

Let $\{f(t): t\in T\}$ be a smooth Gaussian random field over a parameter space $T$, where $T$ may be a subset of Euclidean space or, more generally, a Riemannian manifold. For any local maximum of $f(t)$ located at $t_0$ in the interior of…

概率论 · 数学 2014-12-24 Dan Cheng , Armin Schwartzman

The matched filter (MF) represents one of the main tools to detect signals from known sources embedded in the noise. In the Gaussian case the noise is assumed to be the realization of a Gaussian random field (GRF). The most important…

天体物理仪器与方法 · 物理学 2019-07-10 R. Vio , P. Andreani , A. Biggs , N. Hayatsu

We consider the problem of estimating a spatially varying density function, motivated by problems that arise in large-scale radiological survey and anomaly detection. In this context, the density functions to be estimated are the background…

统计方法学 · 统计学 2017-11-17 Wesley Tansey , Alex Athey , Alex Reinhart , James G. Scott

MALDI mass spectrometry imaging (MALDI MSI) is a spatially resolved analytical tool for biological tissue analysis by measuring mass-to-charge ratios of ionized molecules. With increasing spatial and mass resolution of MALDI MSI data,…

图像与视频处理 · 电气工程与系统科学 2019-11-04 Florian Lieb , Tobias Boskamp , Hans-Georg Stark

The heuristic identification of peaks from noisy complex spectra often leads to misunderstanding of the physical and chemical properties of matter. In this paper, we propose a framework based on Bayesian inference, which enables us to…

数据分析、统计与概率 · 物理学 2016-12-28 Satoru Tokuda , Kenji Nagata , Masato Okada

Accurate measurement of spatially variant noise in dynamic magnetic resonance (MR) images acquired using parallel imaging methods is problematic. We propose a new method based on the random matrix theory to accurately assess the noise…

数据分析、统计与概率 · 物理学 2009-06-10 Yu Ding , Yiu-Cho Chung , Orlando P. Simonetti

In a multiple testing framework, we propose a method that identifies the interval with the highest estimated false discovery rate of P-values and rejects the corresponding null hypotheses. Unlike the Benjamini-Hochberg method, which does…

统计理论 · 数学 2018-08-03 Shiyun Chen , Andrew Ying , Ery Arias-Castro

We present exact formulas for both the expected number and the height distribution of local maxima (peaks) in two distinct categories of smooth, non-centered Gaussian fields: (i) nonstationary Gaussian processes and (ii) stationary planar…

概率论 · 数学 2024-12-31 Dan Cheng

The problem of identifying regions of spatially interesting, different or adversarial behavior is inherent to many practical applications involving distributed multisensor systems. In this work, we develop a general framework stemming from…

信号处理 · 电气工程与系统科学 2022-06-14 Martin Gölz , Abdelhak M. Zoubir , Visa Koivunen

Based on two independent samples X_1,...,X_m and X_{m+1},...,X_n drawn from multivariate distributions with unknown Lebesgue densities p and q respectively, we propose an exact multiple test in order to identify simultaneously regions of…

统计理论 · 数学 2009-08-12 Angelika Rohde

A multi-imaging strategy is proposed and experimentally tested to improve the accuracy of photon counting with an electron multiplying charge-coupled device (EMCCD), by taking into account the random nature of its on-chip gain and the…

天体物理学 · 物理学 2009-11-13 Eric Lantz , Jean Luc Blanchet , Luca Furfaro , Fabrice Devaux
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