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In statistical survey analysis, (partial) non-responders are integral elements during data acquisition. Treating missing values during data preparation and data analysis is therefore a non-trivial underpinning. Focusing on different data…

应用统计 · 统计学 2021-01-20 Maria Thurow , Florian Dumpert , Burim Ramosaj , Markus Pauly

Pearson's chi-squared test is widely used to assess the uniformity of discrete histograms, typically relying on a continuous chi-squared distribution to approximate the test statistic, since computing the exact distribution is…

统计方法学 · 统计学 2025-07-01 Nikola Banić , Neven Elezović

While it's always possible to compute a variational approximation to a posterior distribution, it can be difficult to discover problems with this approximation. We propose two diagnostic algorithms to alleviate this problem. The…

机器学习 · 统计学 2018-10-15 Yuling Yao , Aki Vehtari , Daniel Simpson , Andrew Gelman

We propose and analyze a generalized splitting method to sample approximately from a distribution conditional on the occurrence of a rare event. This has important applications in a variety of contexts in operations research, engineering,…

统计方法学 · 统计学 2019-09-10 Zdravko I. Botev , Pierre L'Ecuyer

We present an approach to deep estimation of discrete conditional probability distributions. Such models have several applications, including generative modeling of audio, image, and video data. Our approach combines two main techniques:…

机器学习 · 统计学 2017-03-01 Wesley Tansey , Karl Pichotta , James G. Scott

Learning precise distributions of traffic features (e.g., burst sizes, packet inter-arrival time) is still a largely unsolved problem despite being critical for management tasks such as capacity planning or anomaly detection. A key…

网络与互联网体系结构 · 计算机科学 2024-05-27 Alexander Dietmüller , Albert Gran Alcoz , Laurent Vanbever

A probability distribution function is presented which provides a realistic description of the detection of scattered photons. The resulting probabilities can be described analytically by means of a superposition of several special…

天体物理学 · 物理学 2009-06-23 N. van Eijndhoven , O. Fadiran , G. Japaridze

The problem of quickest detection of a change in distribution is considered under the assumption that the pre-change distribution is known, and the post-change distribution is only known to belong to a family of distributions…

应用统计 · 统计学 2019-01-30 Tze Siong Lau , Wee Peng Tay , Venugopal V. Veeravalli

Kernel smoothing is a widely used nonparametric method in modern statistical analysis. The problem of efficiently conducting kernel smoothing for a massive dataset on a distributed system is a problem of great importance. In this work, we…

统计计算 · 统计学 2024-10-08 Yuan Gao , Rui Pan , Feng Li , Riquan Zhang , Hansheng Wang

This note considers the problem of approximating the locations of dominant spikes for a probability measure from noisy spectrum measurements under the condition of residue signal, significant noise level, and no minimum spectrum separation.…

数值分析 · 数学 2023-03-15 Haoya Li , Hongkang Ni , Lexing Ying

We consider the problem of learning a discrete distribution in the presence of an $\epsilon$ fraction of malicious data sources. Specifically, we consider the setting where there is some underlying distribution, $p$, and each data source…

机器学习 · 计算机科学 2017-11-23 Mingda Qiao , Gregory Valiant

We present the first method for assessing the relevance of a model-based clustering result in a general framework. Standard validation criteria, like the adjusted Rand index, rely on external labels to assess partition accuracy;…

统计理论 · 数学 2026-03-30 Salima El Kolei , Matthieu Marbac

We consider the problem of allocating samples to a finite set of discrete distributions in order to learn them uniformly well in terms of four common distance measures: $\ell_2^2$, $\ell_1$, $f$-divergence, and separation distance. To…

机器学习 · 统计学 2019-12-10 Shubhanshu Shekhar , Tara Javidi , Mohammad Ghavamzadeh

Deep learning has recently achieved initial success in program analysis tasks such as bug detection. Lacking real bugs, most existing works construct training and test data by injecting synthetic bugs into correct programs. Despite…

机器学习 · 计算机科学 2022-06-22 Jingxuan He , Luca Beurer-Kellner , Martin Vechev

In this paper we derive an exact full expression for the 2D probability distribution of the ellipticity of an object measured from data, only assuming Gaussian noise in pixel values. This is a generalisation of the probability distribution…

宇宙学与河外天体物理 · 物理学 2015-06-17 Massimo Viola , Thomas Kitching , Benjamin Joachimi

Conformal prediction provides distribution-free prediction sets with guaranteed marginal coverage. However, in split conformal prediction this guarantee is training-conditional only in expectation: across many calibration draws, the average…

机器学习 · 计算机科学 2025-09-22 Petrus H. Zwart

The classical paradigm of scoring rules is to discriminate between two different forecasts by comparing them with observations. The probability distribution of the observed record is assumed to be perfect as a verification benchmark. In…

统计方法学 · 统计学 2021-08-06 Julie Bessac , Philippe Naveau

In the real world, experimental data are rarely, if ever, distributed as a normal (Gaussian) distribution. As an example, a large set of data--such as the cross sections for particle scattering as a function of energy contained in the…

数据分析、统计与概率 · 物理学 2009-11-11 Martin M. Block

A key goal in the design of probabilistic inference algorithms is identifying and exploiting properties of the distribution that make inference tractable. Lifted inference algorithms identify symmetry as a property that enables efficient…

人工智能 · 计算机科学 2019-07-02 Steven Holtzen , Todd Millstein , Guy Van den Broeck

This paper adopts a Bayesian nonparametric mixture model where the mixing distribution belongs to the wide class of normalized homogeneous completely random measures. We propose a truncation method for the mixing distribution by discarding…

统计理论 · 数学 2015-07-17 Raffaele Argiento , Ilaria Bianchini , Alessandra Guglielmi