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Long-term causal inference has drawn increasing attention in many scientific domains. Existing methods mainly focus on estimating average long-term causal effects by combining long-term observational data and short-term experimental data.…

Machine Learning · Computer Science 2025-03-04 Weilin Chen , Ruichu Cai , Junjie Wan , Zeqin Yang , José Miguel Hernández-Lobato

Consider the nonparametric logistic regression problem. In the logistic regression, we usually consider the maximum likelihood estimator, and the excess risk is the expectation of the Kullback-Leibler (KL) divergence between the true and…

Statistics Theory · Mathematics 2025-02-26 Atsutomo Yara , Yoshikazu Terada

A semi-parametric, non-linear regression model in the presence of latent variables is introduced. These latent variables can correspond to unmodeled phenomena or unmeasured agents in a complex networked system. This new formulation allows…

Machine Learning · Statistics 2018-06-29 Jonathan Mei , José M. F. Moura

This paper uses Factored Latent Analysis (FLA) to learn a factorized, segmental representation for observations of tracked objects over time. Factored Latent Analysis is latent class analysis in which the observation space is subdivided and…

Machine Learning · Computer Science 2012-07-19 Chris Stauffer

Multi-head Latent Attention (MLA) is an innovative architecture proposed by DeepSeek, designed to ensure efficient and economical inference by significantly compressing the Key-Value (KV) cache into a latent vector. Compared to MLA,…

Computation and Language · Computer Science 2025-10-06 Tao Ji , Bin Guo , Yuanbin Wu , Qipeng Guo , Lixing Shen , Zhan Chen , Xipeng Qiu , Qi Zhang , Tao Gui

Autonomous control systems face significant challenges in performing complex tasks in the presence of latent risks. To address this, we propose an integrated framework that combines Large Language Models (LLMs), numerical optimization, and…

Systems and Control · Electrical Eng. & Systems 2025-05-08 Xiyu Deng , Quan Khanh Luu , Anh Van Ho , Yorie Nakahira

This article considers the estimation of the number of severely disabled people using data from the Italian survey on Health Conditions and Appeal to Medicare. Disability is indirectly measured using a set of categorical items, which survey…

Applications · Statistics 2015-08-25 Enrico Fabrizi , Giorgio E. Montanari , Maria Giovanna Ranalli

Factor analysis, a classical multivariate statistical technique is popularly used as a fundamental tool for dimensionality reduction in statistics, econometrics and data science. Estimation is often carried out via the Maximum Likelihood…

Optimization and Control · Mathematics 2018-01-19 Koulik Khamaru , Rahul Mazumder

Competing risk data appear widely in modern biomedical research. Cause-specific hazard models are often used to deal with competing risk data in the past two decades. There is no current study on the kernel likelihood method for the…

Methodology · Statistics 2021-09-14 Xiaomeng Qi , Zhangsheng Yu

This paper studies the problem of learning with augmented classes (LAC), where augmented classes unobserved in the training data might emerge in the testing phase. Previous studies generally attempt to discover augmented classes by…

Machine Learning · Computer Science 2020-11-30 Yu-Jie Zhang , Peng Zhao , Zhi-Hua Zhou

Conventional survival analysis approaches estimate risk scores or individualized time-to-event distributions conditioned on covariates. In practice, there is often great population-level phenotypic heterogeneity, resulting from (unknown)…

Machine Learning · Statistics 2020-03-03 Paidamoyo Chapfuwa , Chunyuan Li , Nikhil Mehta , Lawrence Carin , Ricardo Henao

Process data, temporally ordered categorical observations, are of recent interest due to its increasing abundance and the desire to extract useful information. A process is a collection of time-stamped events of different types, recording…

Methodology · Statistics 2025-01-08 Guanhua Fang , Zhiliang Ying

We propose Deep Longitudinal Targeted Minimum Loss-based Estimation (Deep LTMLE), a novel approach to estimate the counterfactual mean of outcome under dynamic treatment policies in longitudinal problem settings. Our approach utilizes a…

Machine Learning · Statistics 2025-06-09 Toru Shirakawa , Yi Li , Yulun Wu , Sky Qiu , Yuxuan Li , Mingduo Zhao , Hiroyasu Iso , Mark van der Laan

The latent class model is a powerful tool for identifying latent classes within populations that share common characteristics for categorical data in social, psychological, and behavioral sciences. In this article, we propose two new…

Machine Learning · Computer Science 2023-10-31 Huan Qing

Latent variable models provide a powerful framework for incorporating and inferring unobserved factors in observational data. In causal inference, they help account for hidden factors influencing treatment or outcome, thereby addressing…

Machine Learning · Computer Science 2025-08-29 Tetsuro Morimura , Tatsushi Oka , Yugo Suzuki , Daisuke Moriwaki

In epidemiological studies of time-to-event data, a quantity of interest to the clinician and the patient is the risk of an event given a covariate profile. However, methods relying on time matching or risk-set sampling (including Cox…

Methodology · Statistics 2020-09-23 Sahir Rai Bhatnagar , Maxime Turgeon , Jesse Islam , James A. Hanley , Olli Saarela

Researchers in the behavioral and social sciences use linear discriminant analysis (LDA) for predictions of group membership (classification) and for identifying the variables most relevant to group separation among a set of continuous…

Methodology · Statistics 2025-05-28 Ricarda Graf , Marina Zeldovich , Sarah Friedrich

Individual events at high-energy colliders like the LHC can be represented by a sequence of measurements, or 'point patterns' in an observable space. Starting from this data representation, we build a simple Bayesian probabilistic model for…

High Energy Physics - Phenomenology · Physics 2020-12-17 Darius A. Faroughy

Joint models are used in ageing studies to investigate the association between longitudinal markers and a time-to-event, and have been extended to multiple markers and/or competing risks. The competing risk of death must be considered in…

The identification of most relevant clinical criteria related to low back pain disorders may aid the evaluation of the nature of pain suffered in a way that usefully informs patient assessment and treatment. Data concerning low back pain…

Methodology · Statistics 2018-02-06 Michael Fop , Keith Smart , Thomas Brendan Murphy