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We investigate the parameter estimation of regression models with fixed group effects, when the group variable is missing while group related variables are available. This problem involves clustering to infer the missing group variable…

统计方法学 · 统计学 2020-12-29 Matthieu Marbac , Mohammed Sedki , Christophe Biernacki , Vincent Vandewalle

Learning a parametric model from a given dataset indeed enables to capture intrinsic dependencies between random variables via a parametric conditional probability distribution and in turn predict the value of a label variable given…

机器学习 · 统计学 2024-06-14 Elouan Argouarc'h , François Desbouvries , Eric Barat , Eiji Kawasaki

To make sense of massive data, we often fit simplified models and then interpret the parameters; for example, we cluster the text embeddings and then interpret the mean parameters of each cluster. However, these parameters are often…

人工智能 · 计算机科学 2025-01-14 Ruiqi Zhong , Heng Wang , Dan Klein , Jacob Steinhardt

We study the problem of multivariate regression where the data are naturally grouped, and a regression matrix is to be estimated for each group. We propose an approach in which a dictionary of low rank parameter matrices is estimated across…

机器学习 · 计算机科学 2012-07-03 Min Xu , John Lafferty

We propose a multi-threshold change plane regression model which naturally partitions the observed subjects into subgroups with different covariate effects. The underlying grouping variable is a linear function of covariates and thus…

统计方法学 · 统计学 2018-08-03 Jialiang Li , Yaguang Li , Baisuo Jin

A recent literature in econometrics models unobserved cross-sectional heterogeneity in panel data by assigning each cross-sectional unit a one-dimensional, discrete latent type. Such models have been shown to allow estimation and inference…

计量经济学 · 经济学 2020-01-31 Max Cytrynbaum

Mixture models are often used to identify meaningful subpopulations (i.e., clusters) in observed data such that the subpopulations have a real-world interpretation (e.g., as cell types). However, when used for subpopulation discovery,…

统计方法学 · 统计学 2024-03-04 Jiawei Li , Jonathan H. Huggins

This paper investigates a general framework to discover categories of unlabeled scene images according to their appearances (i.e., textures and structures). We jointly solve the two coupled tasks in an unsupervised manner: (i) classifying…

计算机视觉与模式识别 · 计算机科学 2015-02-03 Liang Lin , Ruimao Zhang , Xiaohua Duan

A general framework for dealing with both linear regression and clustering problems is described. It includes Gaussian clusterwise linear regression analysis with random covariates and cluster analysis via Gaussian mixture models with…

统计方法学 · 统计学 2015-10-13 Giuliano Galimberti , Annamaria Manisi , Gabriele Soffritti

Generalized linear and additive models are very efficient regression tools but the selection of relevant terms becomes difficult if higher order interactions are needed. In contrast, tree-based methods also known as recursive partitioning…

统计方法学 · 统计学 2015-04-21 Gerhard Tutz , Moritz Berger

A canonical desideratum for prediction problems is that performance guarantees should hold not just on average over the population, but also for meaningful subpopulations within the overall population. But what constitutes a meaningful…

机器学习 · 计算机科学 2024-12-10 Jessica Dai , Nika Haghtalab , Eric Zhao

In the literature, two series of models have been proposed to address prediction problems including classification and regression. Simple models, such as generalized linear models, have ordinary performance but strong interpretability on a…

机器学习 · 计算机科学 2016-11-01 Jingbo Shang , Meng Jiang , Wenzhu Tong , Jinfeng Xiao , Jian Peng , Jiawei Han

Learning the distribution of a continuous or categorical response variable $\boldsymbol y$ given its covariates $\boldsymbol x$ is a fundamental problem in statistics and machine learning. Deep neural network-based supervised learning…

机器学习 · 统计学 2022-12-07 Xizewen Han , Huangjie Zheng , Mingyuan Zhou

Ensuring that predicted probabilities align with observed frequencies is critical in high-stakes domains such as clinical decision support, autonomous driving and financial risk assessment. Existing calibration methods typically apply a…

机器学习 · 计算机科学 2026-05-26 Tomer Lavi , Bracha Shapira , Nadav Rappoport

Estimating heterogeneous treatment effects is critical in domains such as personalized medicine, resource allocation, and policy evaluation. A central challenge lies in identifying subpopulations that respond differently to interventions,…

机器学习 · 统计学 2025-09-18 Zilong Wang , Turgay Ayer , Shihao Yang

Recent advances in deep forecasting models have achieved remarkable performance, yet most approaches still struggle to provide both accurate predictions and interpretable insights into temporal dynamics. This paper proposes CaReTS, a novel…

机器学习 · 计算机科学 2025-11-14 Fulong Yao , Wanqing Zhao , Chao Zheng , Xiaofei Han

With the recent growth in data availability and complexity, and the associated outburst of elaborate modelling approaches, model selection tools have become a lifeline, providing objective criteria to deal with this increasingly challenging…

统计方法学 · 统计学 2020-10-08 Alessandro Casa , Luca Scrucca , Giovanna Menardi

Conformal prediction is widely used to equip black-box machine learning models with uncertainty quantification, offering formal coverage guarantees under exchangeable data. However, these guarantees fail when faced with subpopulation…

机器学习 · 计算机科学 2025-11-10 Nien-Shao Wang , Duygu Nur Yaldiz , Yavuz Faruk Bakman , Sai Praneeth Karimireddy

Algorithms deployed in education can shape the learning experience and success of a student. It is therefore important to understand whether and how such algorithms might create inequalities or amplify existing biases. In this paper, we…

计算机与社会 · 计算机科学 2022-12-21 Jade Maï Cock , Muhammad Bilal , Richard Davis , Mirko Marras , Tanja Käser

Regression models for supervised learning problems with a continuous target are commonly understood as models for the conditional mean of the target given predictors. This notion is simple and therefore appealing for interpretation and…

统计方法学 · 统计学 2018-01-09 Torsten Hothorn , Achim Zeileis
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