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By representing the range of fair betting odds according to a pair of confidence set estimators, dual probability measures on parameter space called frequentist posteriors secure the coherence of subjective inference without any prior…

统计理论 · 数学 2012-05-02 David R. Bickel

Many physical phenomena are modeled as stochastic searchers looking for targets. In these models, the probability that a searcher finds a particular target, its so-called hitting probability, is often of considerable interest. In this work…

统计力学 · 物理学 2024-07-18 Samantha Linn , Sean D. Lawley

The monitoring of event frequencies can be used to recognize behavioral anomalies, to identify trends, and to deduce or discard hypotheses about the underlying system. For example, the performance of a web server may be monitored based on…

计算机科学中的逻辑 · 计算机科学 2020-01-13 Thomas Ferrère , Thomas A. Henzinger , Bernhard Kragl

In the next decade, high energy physicists will use very sophisticated equipment to record unprecedented amounts of data in the hope of making major advances in our understanding of particle phenomena. Some of the signals of new physics…

高能物理 - 实验 · 物理学 2009-11-07 Pushpalatha C. Bhat

We demonstrate the usefulness of submodularity in statistics as a characterization of the difficulty of the \emph{search} problem of feature selection. The search problem is the ability of a procedure to identify an informative set of…

统计理论 · 数学 2016-05-16 Kory D. Johnson , Robert A. Stine , Dean P. Foster

This chapter considers the computational and statistical aspects of learning linear thresholds in presence of noise. When there is no noise, several algorithms exist that efficiently learn near-optimal linear thresholds using a small amount…

机器学习 · 计算机科学 2020-11-16 Maria-Florina Balcan , Nika Haghtalab

We present a new, analytic, Poisson likelihood derived, technique to account for the statistical uncertainties inherent in simulation samples of limited size. This method has better coverage properties than other techniques, is valid for…

数据分析、统计与概率 · 物理学 2019-07-26 Carlos A. Argüelles , Austin Schneider , Tianlu Yuan

Sparsity-based models and techniques have been exploited in many signal processing and imaging applications. Data-driven methods based on dictionary and sparsifying transform learning enable learning rich image features from data, and can…

机器学习 · 计算机科学 2019-09-25 Saiprasad Ravishankar , Anna Ma , Deanna Needell

Compressive Sensing, as an emerging technique in signal processing is reviewed in this paper together with its common applications. As an alternative to the traditional signal sampling, Compressive Sensing allows a new acquisition strategy…

信息论 · 计算机科学 2017-05-16 Andjela Draganic , Irena Orovic , Srdjan Stankovic

Deciding what to sense is a crucial task, made harder by dependencies and by a nonadditive utility function. We develop approximation algorithms for selecting an optimal set of measurements, under a dependency structure modeled by a…

人工智能 · 计算机科学 2012-06-18 Yan Radovilsky , Solomon Eyal Shimony

In this paper, we propose a new algorithm for exploratory projection pursuit. The basis of the algorithm is the insight that previous approaches used fairly narrow definitions of interestingness / non interestingness. We argue that allowing…

统计方法学 · 统计学 2011-12-20 Mohit Dayal

After some general remarks about the interrelation between philosophical and statistical thinking, the discussion centres largely on significance tests. These are defined as the calculation of $p$-values rather than as formal procedures for…

统计理论 · 数学 2007-06-13 Deborah G. Mayo , D. R. Cox

Unmeasured confounding may undermine the validity of causal inference with observational studies. Sensitivity analysis provides an attractive way to partially circumvent this issue by assessing the potential influence of unmeasured…

统计理论 · 数学 2015-07-15 Peng Ding , Tyler VanderWeele

We consider a statistical problem of detection of a signal with unknown energy in a multi-channel system, observed in a Gaussian noise. We assume that the signal can appear in the $k$-th channel with a known small prior probability…

统计理论 · 数学 2017-12-19 Evgeny Burnaev , Georgy Golubev

We formulate an optimization problem to estimate probability densities in the context of multidimensional problems that are sampled with uneven probability. It considers detector sensitivity as an heterogeneous density and takes advantage…

机器学习 · 计算机科学 2025-06-04 Aleix Boquet-Pujadas , Pol del Aguila Pla , Michael Unser

We discuss recent work for causal inference and predictive robustness in a unifying way. The key idea relies on a notion of probabilistic invariance or stability: it opens up new insights for formulating causality as a certain risk…

统计方法学 · 统计学 2018-12-21 Peter Bühlmann

A single target is hidden at a location chosen from a predetermined probability distribution. Then, a searcher must find a second probability distribution from which random search points are sampled such that the target is found in the…

数据分析、统计与概率 · 物理学 2013-05-29 Joseph Snider

The negative binomial distribution has been widely used as a more flexible model than the Poisson distribution for count data. However, when the true data-generating process is Poisson, it is often challenging to distinguish it from a…

统计理论 · 数学 2026-04-07 Yingying Yang , Niloufar Dousti Mousavi , Zhou Yu , Jie Yang

The paper addresses general aspects of experimental data analysis, dealing with the separation of ``signal vs. background''. It consists of two parts. Part I is a tutorial on statistical event classification, Bayesian inference, and test…

数据分析、统计与概率 · 物理学 2023-06-30 Rudolf Frühwirth , Winfried Mitaroff

A results of numerical procedure for construction of confidence intervals for parameter of Poisson distribution for signal in the presence of background which has Poisson distribution with known value of parameter are presented. It is shown…

数据分析、统计与概率 · 物理学 2007-05-23 S. I. Bityukov , N. V. Krasnikov