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Within the educational context, a key goal is to assess students acquired skills and to cluster students according to their ability level. In this regard, a relevant element to be accounted for is the possible effect of the school students…

应用统计 · 统计学 2014-08-12 Michela Gnaldi , Silvia Bacci , Francesco Bartolucci

This paper formalizes a latent variable inference problem we call {\em supervised pattern discovery}, the goal of which is to find sets of observations that belong to a single ``pattern.'' We discuss two versions of the problem and prove…

机器学习 · 统计学 2014-02-10 Jonathan H. Huggins , Cynthia Rudin

Handling outliers is a fundamental challenge in multivariate data analysis because outliers may distort the structures of correlation or conditional independence. Although robust Bayesian inference has been extensively studied in univariate…

统计方法学 · 统计学 2025-10-27 Yasuyuki Hamura , Kaoru Irie , Shonosuke Sugasawa

Personality traits are latent variables, and as such, are impossible to measure without the use of an assessment. Responses on the assessments can be influenced by both transient (state-related) error and measurement error, obscuring the…

应用统计 · 统计学 2017-06-02 Amy E. Nussbaum , Cornelis J. Potgieter , Michael Chmielewski

We propose a physics-informed anomaly detection framework for collider data based on a Bayesian latent diffusion model. Our method combines a probabilistic encoder with diffusion dynamics in the latent space, allowing for stable and…

数据分析、统计与概率 · 物理学 2026-03-27 Jigar Patel , Tommaso Dorigo

Classic item response models assume that all items with the same difficulty have the same response probability among all respondents with the same ability. These assumptions, however, may very well be violated in practice, and it is not…

统计方法学 · 统计学 2021-08-23 Minjeong Jeon , Ick Hoon Jin , Michael Schweinberger , Samuel Baugh

We revisit the outlier hypothesis testing framework of Li \emph{et al.} (TIT 2014) and derive fundamental limits for the optimal test under the generalized Neyman-Pearson criterion. In outlier hypothesis testing, one is given multiple…

信息论 · 计算机科学 2022-02-15 Lin Zhou , Yun Wei , Alfred Hero

We propose an inlier-based outlier detection method capable of both identifying the outliers and explaining why they are outliers, by identifying the outlier-specific features. Specifically, we employ an inlier-based outlier detection…

机器学习 · 统计学 2017-02-22 Makoto Yamada , Song Liu , Samuel Kaski

Computerized adaptive tests (CATs) play a crucial role in educational assessment and diagnostic screening in behavioral health. Unlike traditional linear tests that administer a fixed set of pre-assembled items, CATs adaptively tailor the…

统计方法学 · 统计学 2026-05-11 Jiguang Li , Robert Gibbons , Veronika Rockova

In this paper, we address the problem of detecting anomalies among a given set of binary processes via learning-based controlled sensing. Each process is parameterized by a binary random variable indicating whether the process is anomalous.…

机器学习 · 计算机科学 2023-12-04 Geethu Joseph , Chen Zhong , M. Cenk Gursoy , Senem Velipasalar , Pramod K. Varshney

We introduce an online outlier detection algorithm to detect outliers in a sequentially observed data stream. For this purpose, we use a two-stage filtering and hedging approach. In the first stage, we construct a multi-modal probability…

机器学习 · 计算机科学 2018-03-13 Mohammadreza Mohaghegh Neyshabouri , Suleyman Serdar Kozat

Outlier detection and cleaning are essential steps in data preprocessing to ensure the integrity and validity of data analyses. This paper focuses on outlier points within individual trajectories, i.e., points that deviate significantly…

数据库 · 计算机科学 2025-11-26 Mariana M Garcez Duarte , Mahmoud Sakr

Outliers are the points which are different from or inconsistent with the rest of the data. They can be novel, new, abnormal, unusual or noisy information. Outliers are sometimes more interesting than the majority of the data. The main…

计算机视觉与模式识别 · 计算机科学 2014-06-20 Singh Vijendra , Pathak Shivani

This paper introduces the generalized Hausman test as a novel method for detecting non-normality of the latent variable distribution of unidimensional Item Response Theory (IRT) models for binary data. The test utilizes the pairwise maximum…

统计方法学 · 统计学 2024-02-14 Lucia Guastadisegni , Silvia Cagnone , Irini Moustaki , Vassilis Vasdekis

Outlying curves often occur in functional or longitudinal datasets, and can be very influential on parameter estimators and very hard to detect visually. In this article we introduce estimators of the mean and the principal components that…

应用统计 · 统计学 2010-11-03 Daniel Gervini

This paper proposes and studies a detection technique for adversarial scenarios (dubbed deterministic detection). This technique provides an alternative detection methodology in case the usual stochastic methods are not applicable: this can…

机器学习 · 计算机科学 2017-11-08 Kristiaan Pelckmans

Few models have been more ubiquitous in their respective fields than Bayesian knowledge tracing and item response theory. Both of these models were developed to analyze data on learners. However, the study designs that these models are…

统计方法学 · 统计学 2018-10-15 Benjamin Deonovic , Michael Yudelson , Maria Bolsinova , Meirav Attali , Gunter Maris

An outlier is an observation or a data point that is far from rest of the data points in a given dataset or we can be said that an outlier is away from the center of mass of observations. Presence of outliers can skew statistical measures…

机器学习 · 计算机科学 2021-06-17 Amulya Agarwal , Nitin Gupta

Typical Bayesian approaches to OOD detection use epistemic uncertainty. Surprisingly from the Bayesian perspective, there are a number of methods that successfully use aleatoric uncertainty to detect OOD points (e.g. Hendryks et al. 2018).…

机器学习 · 统计学 2021-10-29 Xi Wang , Laurence Aitchison

Detecting latent structure within a dataset is a crucial step in performing analysis of a dataset. However, existing state-of-the-art techniques for subclass discovery are limited: either they are limited to detecting very small numbers of…

机器学习 · 计算机科学 2021-11-09 Patrick Kage , Pavlos Andreadis