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Mixture models are flexible tools in density estimation and classification problems. Bayesian estimation of such models typically relies on sampling from the posterior distribution using Markov chain Monte Carlo. Label switching arises…

Applications · Statistics 2014-03-11 Wanchuang Zhu , Yanan Fan

Computational couplings of Markov chains provide a practical route to unbiased Monte Carlo estimation that can utilize parallel computation. However, these approaches depend crucially on chains meeting after a small number of transitions.…

Methodology · Statistics 2021-04-14 Brian L. Trippe , Tin D. Nguyen , Tamara Broderick

In this paper a simple procedure to deal with label switching when exploring complex posterior distributions by MCMC algorithms is proposed. Although it cannot be generalized to any situation, it may be handy in many applications because of…

Computation · Statistics 2016-09-14 Leonardo Egidi , Roberta Pappadà , Francesco Pauli , Nicola Torelli

Label switching is a well-known and fundamental problem in Bayesian estimation of mixture or hidden Markov models. In case that the prior distribution of the model parameters is the same for all states, then both the likelihood and…

Computation · Statistics 2016-03-07 Panagiotis Papastamoulis

The label switching problem arises in the Bayesian analysis of models containing multiple indistinguishable parameters with arbitrary ordering. Any permutation of these parameters is equivalent, therefore models with many such parameters…

Instrumentation and Methods for Astrophysics · Physics 2019-10-30 Riccardo Buscicchio , Elinore Roebber , Janna M. Goldstein , Christopher J. Moore

Mixture models provide a flexible representation of heterogeneity in a finite number of latent classes. From the Bayesian point of view, Markov Chain Monte Carlo methods provide a way to draw inferences from these models. In particular,…

Methodology · Statistics 2020-05-06 Carolina Valani Cavalcante , Kelly Cristina Mota Gonçalves

Label shift refers to the phenomenon where the prior class probability p(y) changes between the training and test distributions, while the conditional probability p(x|y) stays fixed. Label shift arises in settings like medical diagnosis,…

Machine Learning · Computer Science 2020-06-30 Amr Alexandari , Anshul Kundaje , Avanti Shrikumar

We address the problem of predicting the labeling of a graph in an online setting when the labeling is changing over time. We present an algorithm based on a specialist approach; we develop the machinery of cluster specialists which…

Machine Learning · Computer Science 2019-06-18 Mark Herbster , James Robinson

An assumption often made in supervised learning is that the training and testing sets have the same label distribution. However, in real-life scenarios, this assumption rarely holds. For example, medical diagnosis result distributions…

Machine Learning · Computer Science 2026-04-03 Yunrui Zhang , Gustavo Batista , Salil S. Kanhere

The label shift problem refers to the supervised learning setting where the train and test label distributions do not match. Existing work addressing label shift usually assumes access to an \emph{unlabelled} test sample. This sample may be…

Machine Learning · Computer Science 2021-08-18 Jingzhao Zhang , Aditya Menon , Andreas Veit , Srinadh Bhojanapalli , Sanjiv Kumar , Suvrit Sra

We address the problem of unsupervised domain adaptation under the setting of generalized target shift (joint class-conditional and label shifts). For this framework, we theoretically show that, for good generalization, it is necessary to…

Machine Learning · Computer Science 2021-10-20 Alain Rakotomamonjy , Rémi Flamary , Gilles Gasso , Mokhtar Z. Alaya , Maxime Berar , Nicolas Courty

While a broad range of techniques have been proposed to tackle distribution shift, the simple baseline of training on an $\textit{undersampled}$ balanced dataset often achieves close to state-of-the-art-accuracy across several popular…

Machine Learning · Computer Science 2023-06-21 Niladri S. Chatterji , Saminul Haque , Tatsunori Hashimoto

As a prominent challenge in addressing real-world issues within a dynamic environment, label shift, which refers to the learning setting where the source (training) and target (testing) label distributions do not match, has recently…

Machine Learning · Computer Science 2024-11-06 Ruidong Fan , Xiao Ouyang , Hong Tao , Yuhua Qian , Chenping Hou

Deep clustering, which learns representation and semantic clustering without labels information, poses a great challenge for deep learning-based approaches. Despite significant progress in recent years, most existing methods focus on…

Computer Vision and Pattern Recognition · Computer Science 2024-01-18 Chuyu Zhang , Hui Ren , Xuming He

In biomedical and public health association studies, binary outcome variables may be subject to misclassification, resulting in substantial bias in effect estimates. The feasibility of addressing binary outcome misclassification in…

Methodology · Statistics 2024-03-19 Kimberly A. Hochstedler Webb , Martin T. Wells

Recent advances on overfitting Bayesian mixture models provide a solid and straightforward approach for inferring the underlying number of clusters and model parameters in heterogeneous datasets. The applicability of such a framework in…

Methodology · Statistics 2018-03-29 Panagiotis Papastamoulis

In this paper, we investigate the label shift quantification problem. We propose robust estimators of the label distribution which turn out to coincide with the Maximum Likelihood Estimator. We analyze the theoretical aspects and derive…

Statistics Theory · Mathematics 2026-02-12 Alexandre Lecestre

In Bayesian applications, there is a huge interest in rapid and accurate estimation of the posterior distribution, particularly for high dimensional or hierarchical models. In this article, we propose to use optimization to solve for a…

Computation · Statistics 2021-03-12 Leo L. Duan

The assumption that response and predictor belong to the same statistical unit may be violated in practice. Unbiased estimation and recovery of true label ordering based on unlabeled data are challenging tasks and have attracted increasing…

Methodology · Statistics 2022-06-24 Guanhua Fang , Ping Li

Finite mixture models are used in statistics and other disciplines, but inference for mixture models is challenging due, in part, to the multimodality of the likelihood function and the so-called label switching problem. We propose…

Methodology · Statistics 2020-11-03 Umberto Simola , Jessi Cisewski-Kehe , Robert L. Wolpert
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