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The EM algorithm is a generic tool that offers maximum likelihood solutions when datasets are incomplete with data values missing at random or completely at random. At least for its simplest form, the algorithm can be rewritten in terms of…

Methodology · Statistics 2025-09-25 Daniel A. Griffith

Recent state-of-the-art methods in semi-supervised learning (SSL) combine consistency regularization with confidence-based pseudo-labeling. To obtain high-quality pseudo-labels, a high confidence threshold is typically adopted. However, it…

Computer Vision and Pattern Recognition · Computer Science 2022-06-14 Zhuoran Yu , Yin Li , Yong Jae Lee

Transductive graph-based semi-supervised learning methods usually build an undirected graph utilizing both labeled and unlabeled samples as vertices. Those methods propagate label information of labeled samples to neighbors through their…

Machine Learning · Computer Science 2013-12-25 Fengqi Li , Chuang Yu , Nanhai Yang , Feng Xia , Guangming Li , Fatemeh Kaveh-Yazdy

While mixture of linear regressions (MLR) is a well-studied topic, prior works usually do not analyze such models for prediction error. In fact, {\em prediction} and {\em loss} are not well-defined in the context of mixtures. In this paper,…

Machine Learning · Statistics 2022-05-27 Avishek Ghosh , Arya Mazumdar , Soumyabrata Pal , Rajat Sen

Semisupervised methods inevitably invoke some assumption that links the marginal distribution of the features to the regression function of the label. Most commonly, the cluster or manifold assumptions are used which imply that the…

Statistics Theory · Mathematics 2011-12-02 Martin Azizyan , Aarti Singh , Larry Wasserman

In this work we study the semi-supervised framework of confidence set classification with controlled expected size in minimax settings. We obtain semi-supervised minimax rates of convergence under the margin assumption and a H{\"o}lder…

Statistics Theory · Mathematics 2019-04-30 Evgenii Chzhen , Christophe Denis , Mohamed Hebiri

Semi-supervised learning is being extensively applied to estimate classifiers from training data in which not all the labels of the feature vectors are available. We present gmmsslm, an R package for estimating the Bayes' classifier from…

Computation · Statistics 2024-04-18 Ziyang Lyu , Daniel Ahfock , Ryan Thompson , Geoffrey J. McLachlan

Supervised fine-tuning (SFT) is crucial in adapting large language model (LLMs) to a specific domain or task. However, only a limited amount of labeled data is available in practical applications, which poses a severe challenge for SFT in…

Computation and Language · Computer Science 2025-02-20 Junyu Luo , Xiao Luo , Xiusi Chen , Zhiping Xiao , Wei Ju , Ming Zhang

We study the sample complexity of semi-supervised learning (SSL) and introduce new assumptions based on the mismatch between a mixture model learned from unlabeled data and the true mixture model induced by the (unknown) class conditional…

Machine Learning · Computer Science 2018-09-11 Chen Dan , Liu Leqi , Bryon Aragam , Pradeep Ravikumar , Eric P. Xing

In semi-supervised learning for classification, it is assumed that every ground truth class of data is present in the small labelled dataset. Many real-world sparsely-labelled datasets are plausibly not of this type. It could easily be the…

Machine Learning · Statistics 2021-01-11 Matthew Willetts , Stephen J Roberts , Christopher C Holmes

Constrained clustering allows the training of classification models using pairwise constraints only, which are weak and relatively easy to mine, while still yielding full-supervision-level model performance. While they perform well even in…

Machine Learning · Computer Science 2023-11-28 Jann Goschenhofer , Bernd Bischl , Zsolt Kira

There has been an increasing interest in semi-supervised learning in the recent years because of the great number of datasets with a large number of unlabeled data but only a few labeled samples. Semi-supervised learning algorithms can work…

Machine Learning · Computer Science 2020-03-26 Pedro H. M. Braga , Hansenclever F. Bassani

Due to the limited and even imbalanced data, semi-supervised semantic segmentation tends to have poor performance on some certain categories, e.g., tailed categories in Cityscapes dataset which exhibits a long-tailed label distribution.…

Computer Vision and Pattern Recognition · Computer Science 2021-10-12 Hanzhe Hu , Fangyun Wei , Han Hu , Qiwei Ye , Jinshi Cui , Liwei Wang

In this paper, we consider nonparametric multidimensional finite mixture models and we are interested in the semiparametric estimation of the population weights. Here, the i.i.d. observations are assumed to have at least three components…

Statistics Theory · Mathematics 2017-12-14 Elisabeth Gassiat , Judith Rousseau , Elodie Vernet

Reward models (RM) capture the values and preferences of humans and play a central role in Reinforcement Learning with Human Feedback (RLHF) to align pretrained large language models (LLMs). Traditionally, training these models relies on…

Machine Learning · Computer Science 2024-09-12 Yifei He , Haoxiang Wang , Ziyan Jiang , Alexandros Papangelis , Han Zhao

In this paper, we propose improved estimation method for logistic regression based on subsamples taken according the optimal subsampling probabilities developed in Wang et al. 2018 Both asymptotic results and numerical results show that the…

Methodology · Statistics 2021-06-24 HaiYing Wang

In structured output learning, obtaining labelled data for real-world applications is usually costly, while unlabelled examples are available in abundance. Semi-supervised structured classification has been developed to handle large amounts…

Machine Learning · Computer Science 2013-11-12 P. Balamurugan , Shirish Shevade , Sundararajan Sellamanickam

Semi-supervised learning (SSL) constructs classifiers from datasets in which only a subset of observations is labelled, a situation that naturally arises because obtaining labels often requires expert judgement or costly manual effort. This…

Computation · Statistics 2025-12-09 Geoffrey J. McLachlan , Jinran Wu

Ensemble learning, the machine learning paradigm where multiple algorithms are combined, has exhibited promising perfomance in a variety of tasks. The present work focuses on unsupervised ensemble classification. The term unsupervised…

Machine Learning · Computer Science 2020-12-22 Panagiotis A. Traganitis , Georgios B. Giannakis

Most of the semi-supervised classification methods developed so far use unlabeled data for regularization purposes under particular distributional assumptions such as the cluster assumption. In contrast, recently developed methods of…

Machine Learning · Computer Science 2017-06-19 Tomoya Sakai , Marthinus Christoffel du Plessis , Gang Niu , Masashi Sugiyama