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Structural equation modeling (SEM) and path analysis have long been central tools for studying complex causal relationships in the social and behavioral sciences, yet their reliance on parametric assumptions can lead to biased inference…

Other Statistics · Statistics 2026-03-10 Junjie Ma , Xiaoya Zhang , Guangye He , Yuting Han , Ting Ge , Feng Ji

Detection limit (DL) has become an increasingly ubiquitous issue in statistical analyses of biomedical studies, such as cytokine, metabolite and protein analysis. In regression analysis, if an explanatory variable is left-censored due to…

Deep learning demands a huge amount of well-labeled data to train the network parameters. How to use the least amount of labeled data to obtain the desired classification accuracy is of great practical significance, because for many…

Machine Learning · Computer Science 2019-12-20 Xiao Han , Zihao Wang , Enmei Tu , Gunnam Suryanarayana , Jie Yang

We propose a two-step pseudo-maximum likelihood procedure for semiparametric single-index regression models where the conditional variance is a known function of the regression and an additional parameter. The Poisson single-index…

Statistics Theory · Mathematics 2017-04-27 Marian Hristache , Weiyu Li , Valentin Patilea

Misclassification of binary responses, if ignored, may severely bias the maximum likelihood estimators (MLE) of regression parameters. For such data, a binary regression model incorporating misclassification probabilities is extensively…

Statistics Theory · Mathematics 2020-09-28 Arindam Chatterjee , Tathagata Bandyopadhyay , Sumanta Adhya

One paradigm for learning from few labeled examples while making best use of a large amount of unlabeled data is unsupervised pretraining followed by supervised fine-tuning. Although this paradigm uses unlabeled data in a task-agnostic way,…

Machine Learning · Computer Science 2020-10-27 Ting Chen , Simon Kornblith , Kevin Swersky , Mohammad Norouzi , Geoffrey Hinton

We propose an iterative estimating equations procedure for analysis of longitudinal data. We show that, under very mild conditions, the probability that the procedure converges at an exponential rate tends to one as the sample size…

Statistics Theory · Mathematics 2007-12-18 Jiming Jiang , Yihui Luan , You-Gan Wang

Supervised learning needs a huge amount of labeled data, which can be a big bottleneck under the situation where there is a privacy concern or labeling cost is high. To overcome this problem, we propose a new weakly-supervised learning…

Machine Learning · Computer Science 2018-08-16 Han Bao , Gang Niu , Masashi Sugiyama

In this paper we analyze the graph-based approach to semi-supervised learning under a manifold assumption. We adopt a Bayesian perspective and demonstrate that, for a suitable choice of prior constructed with sufficiently many unlabeled…

Statistics Theory · Mathematics 2021-06-15 Daniel Sanz-Alonso , Ruiyi Yang

Given a supervised machine learning problem where the training set has been subject to a known sampling bias, how can a model be trained to fit the original dataset? We achieve this through the Bayesian inference framework by altering the…

Machine Learning · Statistics 2022-03-16 Max Sklar

A central goal of unsupervised learning is to acquire representations from unlabeled data or experience that can be used for more effective learning of downstream tasks from modest amounts of labeled data. Many prior unsupervised learning…

Machine Learning · Computer Science 2019-03-25 Kyle Hsu , Sergey Levine , Chelsea Finn

This article considers a semi-supervised classification setting on a Gaussian mixture model, where the data is not labeled strictly as usual, but instead with uncertain labels. Our main aim is to compute the Bayes risk for this model. We…

Machine Learning · Statistics 2024-03-28 Victor Leger , Romain Couillet

Existing semi-supervised learning (SSL) algorithms use a single weight to balance the loss of labeled and unlabeled examples, i.e., all unlabeled examples are equally weighted. But not all unlabeled data are equal. In this paper we study…

Machine Learning · Computer Science 2020-10-30 Zhongzheng Ren , Raymond A. Yeh , Alexander G. Schwing

The density ratio model (DRM) provides a flexible and useful platform for combining information from multiple sources. In this paper, we consider statistical inference under two-sample DRMs with additional parameters defined through and/or…

Statistics Theory · Mathematics 2021-03-01 Meng Yuan , Pengfei Li , Changbao Wu

Recent empirical works have successfully used unlabeled data to learn feature representations that are broadly useful in downstream classification tasks. Several of these methods are reminiscent of the well-known word2vec embedding…

Machine Learning · Computer Science 2019-02-26 Sanjeev Arora , Hrishikesh Khandeparkar , Mikhail Khodak , Orestis Plevrakis , Nikunj Saunshi

Reinforcement learning (RL) methods have been shown to be capable of learning intelligent behavior in rich domains. However, this has largely been done in simulated domains without adequate focus on the process of building the simulator. In…

Machine Learning · Computer Science 2019-10-24 Aditya Modi , Nan Jiang , Ambuj Tewari , Satinder Singh

Multi-view learning is widely applied to real-life datasets, such as multiple omics biological data, but it often suffers from both missing views and missing labels. Prior probabilistic approaches addressed the missing view problem by using…

Machine Learning · Computer Science 2025-08-18 Yiyang Shen , Weiran Wang

Likelihood-free methods perform parameter inference in stochastic simulator models where evaluating the likelihood is intractable but sampling synthetic data is possible. One class of methods for this likelihood-free problem uses a…

Machine Learning · Statistics 2020-12-21 Conor Durkan , Iain Murray , George Papamakarios

We consider the problem of estimating parameters of stochastic differential equations (SDEs) with discrete-time observations that are either completely or partially observed. The transition density between two observations is generally…

Methodology · Statistics 2015-09-09 Libo Sun , Chihoon Lee , Jennifer A. Hoeting

Self-training is a classical approach in semi-supervised learning which is successfully applied to a variety of machine learning problems. Self-training algorithm generates pseudo-labels for the unlabeled examples and progressively refines…

Machine Learning · Computer Science 2020-06-22 Samet Oymak , Talha Cihad Gulcu
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