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The Stochastic Approximation EM (SAEM) algorithm, a variant stochastic approximation of EM, is a versatile tool for inference in incomplete data models. In this paper, we review the fundamental EM algorithm and then focus especially on the…

Methodology · Statistics 2018-11-30 Vahid Tadayon

Large language models (LLMs) have demonstrated remarkable reasoning capability in solving mathematical problems. However, existing approaches primarily focus on improving the quality of correct training data, e.g., distilling high-quality…

Machine Learning · Computer Science 2025-06-02 Zhuoshi Pan , Yu Li , Honglin Lin , Qizhi Pei , Zinan Tang , Wei Wu , Chenlin Ming , H. Vicky Zhao , Conghui He , Lijun Wu

Recent advancements in large language models (LLMs) have shown promise in feature engineering for tabular data, but concerns about their reliability persist, especially due to variability in generated outputs. We introduce a multi-level…

Machine Learning · Computer Science 2025-10-01 Yebin Lim , Susik Yoon

Design Structure Matrix (DSM) modularization, the task of partitioning system elements into cohesive modules, is a fundamental combinatorial challenge in engineering design. Traditional methods treat modularization as a pure graph…

Computational Engineering, Finance, and Science · Computer Science 2026-05-01 Shuo Jiang , Jianxi Luo

Handling latent variables in Structural Equation Models (SEMs) in a case where both the latent variables and their corresponding indicators in the measurement error part of the model are random curves presents significant challenges,…

Methodology · Statistics 2024-12-30 Fatemeh Asgari , Valeria Vitelli , Uta Sailer

The dependency structure of multivariate data can be analyzed using the covariance matrix $\Sigma$. In many fields the precision matrix $\Sigma^{-1}$ is even more informative. As the sample covariance estimator is singular in…

Methodology · Statistics 2015-06-04 Viktoria Öllerer , Christophe Croux

Imbalanced domain learning aims to produce accurate models in predicting instances that, though underrepresented, are of utmost importance for the domain. Research in this field has been mainly focused on classification tasks.…

Machine Learning · Computer Science 2022-08-17 Aníbal Silva , Rita P. Ribeiro , Nuno Moniz

The complexity of software in embedded systems has increased significantly over the last years so that software verification now plays an important role in ensuring the overall product quality. In this context, SAT-based bounded model…

Software Engineering · Computer Science 2009-11-20 Lucas Cordeiro , Bernd Fischer , Joao Marques-Silva

It is of special importance in the clinical trial to compare survival times between the treatment group and the control group. Propensity score methods with a logistic regression model are often used to reduce the effects of confounders.…

Statistics Theory · Mathematics 2024-12-03 Tomoya Baba , Nakahiro Yoshida

Imbalanced classification and spurious correlation are common challenges in data science and machine learning. Both issues are linked to data imbalance, with certain groups of data samples significantly underrepresented, which in turn would…

Machine Learning · Statistics 2026-02-10 Ryumei Nakada , Yichen Xu , Lexin Li , Linjun Zhang

While large language models (LLMs) have rapidly improved their performance on a broad number of tasks, they still often fall short on reasoning tasks. As LLMs become more integrated in diverse real-world tasks, advancing their reasoning…

Computation and Language · Computer Science 2025-01-29 Tim Knappe , Ryan Li , Ayush Chauhan , Kaylee Chhua , Kevin Zhu , Sean O'Brien

The rapid adoption of synthetic data for training Large Language Models (LLMs) has introduced the technical challenge of "model collapse"-a degenerative process where recursive training on model-generated content leads to a contraction of…

Machine Learning · Computer Science 2026-03-24 Yi Gu , Lingyou Pang , Xiangkun Ye , Tianyu Wang , Jianyu Lin , Carey E. Priebe , Alexander Aue

Medical question-answering (QA) is a critical task for evaluating how effectively large language models (LLMs) encode clinical knowledge and assessing their potential applications in medicine. Despite showing promise on multiple-choice…

Computation and Language · Computer Science 2025-03-06 Guangfu Guo , Kai Zhang , Bryan Hoo , Yujun Cai , Xiaoqian Lu , Nanyun Peng , Yiwei Wang

In applied research, it is often sensible to account for one or several covariates when testing for differences between multivariate means of several groups. However, the "classical" parametric multivariate analysis of covariance (MANCOVA)…

Methodology · Statistics 2020-04-28 Georg Zimmermann , Markus Pauly , Arne C. Bathke

Model misspecification in multivariate econometric models can strongly influence estimates of quantities of interest such as structural parameters, forecast distributions or responses to structural shocks, even more so if higher-order…

Econometrics · Economics 2025-09-09 Florian Huber , Massimiliano Marcellino , Tobias Scheckel

Medical imaging has witnessed remarkable progress but usually requires a large amount of high-quality annotated data which is time-consuming and costly to obtain. To alleviate this burden, semi-supervised learning has garnered attention as…

Computer Vision and Pattern Recognition · Computer Science 2023-07-24 Qingyue Wei , Lequan Yu , Xianhang Li , Wei Shao , Cihang Xie , Lei Xing , Yuyin Zhou

Sparse additive models have attracted much attention in high-dimensional data analysis due to their flexible representation and strong interpretability. However, most existing models are limited to single-level learning under the…

Machine Learning · Computer Science 2026-04-23 Xuelin Zhang , Xinyue Liu , Lingjuan Wu , Hong Chen

In this paper we consider a Lagrange Multiplier-type test (LM) to detect change in the mean of time series with heteroskedasticity of unknown form. We derive the limiting distribution under the null, and prove the consistency of the test…

Methodology · Statistics 2011-03-02 Mohamed Boutahar

Applications of structural equation models (SEMs) are often restricted to linear associations between variables. Maximum likelihood (ML) estimation in non-linear models may be complex and require numerical integration. Furthermore, ML…

Methodology · Statistics 2019-03-15 Klaus Kähler Holst , Esben Budtz-Jørgensen

One of the possible objectives when designing experiments is to build or formulate a model for predicting future observations. When the primary objective is prediction, some typical approaches in the planning phase are to use…

Methodology · Statistics 2021-10-04 Trent Lemkus , Philip Ramsey , Christopher Gotwalt , Maria Weese