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This paper considers extensions of minimum-disparity estimators to the problem of estimating parameters in a regression model that is conditionally specified; that is where a parametric model describes the distribution of a response $y$…

Statistics Theory · Mathematics 2016-02-10 Giles Hooker

Modern industrial machines can generate gigabytes of data in seconds, frequently pushing the boundaries of available computing power. Together with the time criticality of industrial processing this presents a challenging problem for any…

Methodology · Statistics 2021-01-13 Bart De Ketelaere , Mia Hubert , Jakob Raymaekers , Peter J. Rousseeuw , Iwein Vranckx

We present a procedure to diagnose model misspecification in situations where inference is performed using approximate Bayesian computation. We demonstrate theoretically, and empirically that this procedure can consistently detect the…

Methodology · Statistics 2022-10-25 Andrés Ramírez-Hassan , David T. Frazier

This article inspects whether a multivariate distribution is different from a specified distribution or not, and it also tests the equality of two multivariate distributions. In the course of this study, a graphical tool-kit using…

Methodology · Statistics 2024-08-19 Pratim Guha Niyogi , Subhra Sankar Dhar

We introduce an information-theoretic quantity with similar properties to mutual information that can be estimated from data without making explicit assumptions on the underlying distribution. This quantity is based on a recently proposed…

Machine Learning · Computer Science 2023-07-31 Oscar Skean , Jhoan Keider Hoyos Osorio , Austin J. Brockmeier , Luis Gonzalo Sanchez Giraldo

Though remarkable progress has been achieved in various vision tasks, deep neural networks still suffer obvious performance degradation when tested in out-of-distribution scenarios. We argue that the feature statistics (mean and standard…

Computer Vision and Pattern Recognition · Computer Science 2022-04-25 Xiaotong Li , Yongxing Dai , Yixiao Ge , Jun Liu , Ying Shan , Ling-Yu Duan

The problem of identifying change points in high-dimensional Gaussian graphical models (GGMs) in an online fashion is of interest, due to new applications in biology, economics and social sciences. The offline version of the problem, where…

Statistics Theory · Mathematics 2020-03-18 Hossein Keshavarz , George Michailidis

In this paper, we propose a general framework for testing the conditional distribution equality in a two-sample problem, which is most relevant to covariate shift and causal discovery. Our framework is built on neural network-based…

Machine Learning · Computer Science 2025-11-27 Siming Zheng , Tong Wang , Meifang Lan , Yuanyuan Lin

In statistical inference, it is rarely realistic that the hypothesized statistical model is well-specified, and consequently it is important to understand the effects of misspecification on inferential procedures. When the hypothesized…

Methodology · Statistics 2025-09-01 Beomjo Park , Sivaraman Balakrishnan , Larry Wasserman

We study a linear statistical model where outcomes depend on regressors with fixed population coefficients and observation-specific latent coefficients, along with measurement errors. A decision-maker estimates population coefficients and…

Theoretical Economics · Economics 2026-04-15 Junnan He , Lin Hu , Matthew Kovach , Anqi Li

We analyze the behavior of approximate Bayesian computation (ABC) when the model generating the simulated data differs from the actual data generating process; i.e., when the data simulator in ABC is misspecified. We demonstrate both…

Statistics Theory · Mathematics 2020-12-17 David T. Frazier , Christian P. Robert , Judith Rousseau

State estimators often provide self-assessed uncertainty metrics, such as covariance matrices, whose credibility is critical for downstream tasks. However, these self-assessments can be misleading due to underlying modeling violations like…

Signal Processing · Electrical Eng. & Systems 2026-04-02 Penggao Yan , Xingqun Zhan , Rui Sun , Li-Ta Hsu

Semi-supervised learning plays an important role in large-scale machine learning. Properly using additional unlabeled data (largely available nowadays) often can improve the machine learning accuracy. However, if the machine learning model…

Machine Learning · Computer Science 2017-05-02 Zhaocai Sun , William K. Cheung , Xiaofeng Zhang , Jun Yang

Let $\theta_0,\theta_1 \in \mathbb{R}^d$ be the population risk minimizers associated to some loss $\ell:\mathbb{R}^d\times \mathcal{Z}\to\mathbb{R}$ and two distributions $\mathbb{P}_0,\mathbb{P}_1$ on $\mathcal{Z}$. The models…

Statistics Theory · Mathematics 2021-07-13 Dmitrii M. Ostrovskii , Mohamed Ndaoud , Adel Javanmard , Meisam Razaviyayn

Early detection of dementia is crucial to devise effective interventions. Comprehensive cognitive tests, while being the most accurate means of diagnosis, are long and tedious, thus limiting their applicability to a large population,…

Computer Vision and Pattern Recognition · Computer Science 2025-05-30 Anusha A. S. , Uma Ranjan , Medha Sharma , Siddharth Dutt

Reliable uncertainty quantification is a central challenge in the analysis of modern biomedical data, where complex sources of variability often violate standard modeling assumptions. In generalized linear models (GLMs), confidence…

Methodology · Statistics 2026-05-06 Andrea Panarotto , Riccardo De Santis , Livio Finos

Mathematical models are routinely applied to interpret biological data, with common goals that include both prediction and parameter estimation. A challenge in mathematical biology, in particular, is that models are often complex and…

Methodology · Statistics 2025-11-18 Alexander P Browning , Jennifer A Flegg , Ryan J Murphy

Whole genome prediction of complex phenotypic traits using high-density genotyping arrays has attracted a great deal of attention, as it is relevant to the fields of plant and animal breeding and genetic epidemiology. As the number of…

Machine Learning · Computer Science 2013-10-08 Dan He , Irina Rish , David Haws , Simon Teyssedre , Zivan Karaman , Laxmi Parida

Dataset distillation reduces the network training cost by synthesizing small and informative datasets from large-scale ones. Despite the success of the recent dataset distillation algorithms, three drawbacks still limit their wider…

Computer Vision and Pattern Recognition · Computer Science 2023-10-12 Kai Wang , Jianyang Gu , Daquan Zhou , Zheng Zhu , Wei Jiang , Yang You

Selecting radiology examination protocol is a repetitive, and time-consuming process. In this paper, we present a deep learning approach to automatically assign protocols to computer tomography examinations, by pre-training a…

Computation and Language · Computer Science 2021-07-08 Wilson Lau , Laura Aaltonen , Martin Gunn , Meliha Yetisgen