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Large language models (LLMs) often exhibit systematic preferences for certain answer choices when responding to multiple-choice questions-a behavior known as selection bias. This bias reduces the accuracy and reliability of LLM outputs,…

Artificial Intelligence · Computer Science 2025-05-20 Hyeong Kyu Choi , Weijie Xu , Chi Xue , Stephanie Eckman , Chandan K. Reddy

Record linkage involves merging records in large, noisy databases to remove duplicate entities. It has become an important area because of its widespread occurrence in bibliometrics, public health, official statistics production, political…

Statistics Theory · Mathematics 2017-03-09 Rebecca C. Steorts , Matt Barnes , Willie Neiswanger

In real-world applications, anomaly detection (AD) often operates without access to anomalous data, necessitating semi-supervised methods that rely solely on normal data. Among these methods, deep k-nearest neighbor (deep kNN) AD stands out…

In this paper, we delve deeper into the Kullback-Leibler (KL) Divergence loss and mathematically prove that it is equivalent to the Decoupled Kullback-Leibler (DKL) Divergence loss that consists of 1) a weighted Mean Square Error (wMSE)…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Jiequan Cui , Zhuotao Tian , Zhisheng Zhong , Xiaojuan Qi , Bei Yu , Hanwang Zhang

A new anomaly detection method called kernel outlier detection (KOD) is proposed. It is designed to address challenges of outlier detection in high-dimensional settings. The aim is to overcome limitations of existing methods, such as…

Machine Learning · Computer Science 2025-07-01 Can Hakan Dağıdır , Mia Hubert , Peter J. Rousseeuw

Deep Nonnegative Matrix Factorization (deep NMF) has recently emerged as a valuable technique for extracting multiple layers of features across different scales. However, all existing deep NMF models and algorithms have primarily centered…

Machine Learning · Computer Science 2025-01-10 Valentin Leplat , Le Thi Khanh Hien , Akwum Onwunta , Nicolas Gillis

We examine the estimation of the Kullback-Leibler (KL) divergence and the use of the goodness-of-fit test for multivariate continuous distributions. Our starting point is the maximum entropy principle for Shannon entropy: among all…

Statistics Theory · Mathematics 2026-03-10 Mehmet Siddik Cadirci , Martin Singull

We study the problem of distributed Kalman filtering for sensor networks in the presence of model uncertainty. More precisely, we assume that the actual state-space model belongs to a ball, in the Kullback-Leibler topology, about the…

Optimization and Control · Mathematics 2020-04-20 Mattia Zorzi

The concept of Label Distribution Learning (LDL) is a technique to stabilize classification and regression problems with ambiguous and/or imbalanced labels. A prototypical use-case of LDL is human age estimation based on profile images.…

Machine Learning · Computer Science 2022-09-07 Maurice Günder , Nico Piatkowski , Christian Bauckhage

Anomaly detection (AD) plays a pivotal role in multimedia applications for detecting defective products and automating quality inspection. Deep learning (DL) models typically require large-scale annotated data, which are often highly…

Computer Vision and Pattern Recognition · Computer Science 2024-10-22 Eirini Cholopoulou , Dimitris K. Iakovidis

We study the problem of characterizing the stability of Kullback-Leibler (KL) divergence under Gaussian perturbations beyond Gaussian families. Existing relaxed triangle inequalities for KL divergence critically rely on the assumption that…

Machine Learning · Computer Science 2026-04-17 Jialu Pan , Yufeng Zhang , Nan Hu , Zhenbang Chen , Ji Wang , Keqin Li

In this paper, we delve deeper into the Kullback-Leibler (KL) Divergence loss and mathematically prove that it is equivalent to the Decoupled Kullback-Leibler (DKL) Divergence loss that consists of (1) a weighted Mean Square Error (wMSE)…

Machine Learning · Computer Science 2025-03-12 Jiequan Cui , Beier Zhu , Qingshan Xu , Zhuotao Tian , Xiaojuan Qi , Bei Yu , Hanwang Zhang , Richang Hong

Anomaly detection for time-series data becomes an essential task for many data-driven applications fueled with an abundance of data and out-of-the-box machine-learning algorithms. In many real-world settings, developing a reliable anomaly…

Performing anomaly detection in hybrid systems is a challenging task since it requires analysis of timing behavior and mutual dependencies of both discrete and continuous signals. Typically, it requires modeling system behavior, which is…

Machine Learning · Computer Science 2020-10-30 Nemanja Hranisavljevic , Oliver Niggemann , Alexander Maier

Bayesian nonparametric statistics is an area of considerable research interest. While recently there has been an extensive concentration in developing Bayesian nonparametric procedures for model checking, the use of the Dirichlet process,…

Statistics Theory · Mathematics 2019-03-15 Luai Al-Labadi , Viskakh Patel , Kasra Vakiloroayaei , Clement Wan

We propose a new unsupervised anomaly detection method based on the sliced-Wasserstein distance for training data selection in machine learning approaches. Our filtering technique is interesting for decision-making pipelines deploying…

Machine Learning · Computer Science 2025-04-18 Julien Pallage , Antoine Lesage-Landry

We develop a fully non-parametric, easy-to-use, and powerful test for the missing completely at random (MCAR) assumption on the missingness mechanism of a dataset. The test compares distributions of different missing patterns on random…

Methodology · Statistics 2022-12-01 Meta-Lina Spohn , Jeffrey Näf , Loris Michel , Nicolai Meinshausen

In this correspondence, we present an algorithm for distributed sensor localization with noisy distance measurements (DILAND) that extends and makes the DLRE more robust. DLRE is a distributed sensor localization algorithm in $\mathbb{R}^m$…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-28 Usman A. Khan , Soummya Kar , Jose M. F. Moura

Universal hypothesis testing refers to the problem of deciding whether samples come from a nominal distribution or an unknown distribution that is different from the nominal distribution. Hoeffding's test, whose test statistic is equivalent…

Information Theory · Computer Science 2017-11-15 Pengfei Yang , Biao Chen

Anomaly detection is the task of identifying rarely occurring (i.e. anormal or anomalous) samples that differ from almost all other samples in a dataset. As the patterns of anormal samples are usually not known a priori, this task is highly…

Applications · Statistics 2025-06-30 Nicolas Thewes , Philipp Steinhauer , Patrick Trampert , Markus Pauly , Georg Schneider