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Finite Mixture of Regressions (FMR) models are among the most widely used approaches in dealing with the heterogeneity among the observations in regression problems. One of the limitations of current approaches is their inability to…

Applications · Statistics 2018-06-25 Haidar Almohri , Arash Ali Amini , Ratna Babu Chinnam

Mixtures of Linear Regressions (MLR) is an important mixture model with many applications. In this model, each observation is generated from one of the several unknown linear regression components, where the identity of the generated…

Machine Learning · Computer Science 2020-03-31 Yuanzhi Li , Yingyu Liang

We present neural mixture distributional regression (NMDR), a holistic framework to estimate complex finite mixtures of distributional regressions defined by flexible additive predictors. Our framework is able to handle a large number of…

Computation · Statistics 2020-10-15 David Rügamer , Florian Pfisterer , Bernd Bischl

Finite mixtures of regression models offer a flexible framework for investigating heterogeneity in data with functional dependencies. These models can be conveniently used for unsupervised learning on data with clear regression…

Methodology · Statistics 2013-12-03 Utkarsh J. Dang , Paul D. McNicholas

We consider a finite mixture of regressions (FMR) model for high-dimensional inhomogeneous data where the number of covariates may be much larger than sample size. We propose an l1-penalized maximum likelihood estimator in an appropriate…

Methodology · Statistics 2012-02-28 Nicolas Städler , Peter Bühlmann , Sara van de Geer

Model merging constructs versatile models by integrating task-specific models without requiring labeled data or expensive joint retraining. Although recent methods improve adaptability to heterogeneous tasks by generating customized merged…

Machine Learning · Computer Science 2026-02-09 Haiyun Qiu , Xingyu Wu , Liang Feng , Kay Chen Tan

Federated learning (FL) enables distributed model training, yet in heterogeneous deployments, Bandwidth-Constrained Clients (BCCs) often contribute inefficiently due to limited uplink bandwidth. In model-heterogeneous FL with fixed small…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-12 Chengjie Ma , Seungeun Oh , Jihong Park , Seong-Lyun Kim

In this article, we introduce finite mixture models (FMMs) renowned for capturing population heterogeneity. Our focus lies in establishing stochastic comparisons between two arithmetic (finite) mixture models, employing the vector…

Statistics Theory · Mathematics 2024-12-16 Raju Bhakta , Nuria Torrado , Sangita Das , Suchandan Kayal

Multi-species distribution modeling, which relates the occurrence of multiple species to environmental variables, is an important tool used by ecologists for both predicting the distribution of species in a community and identifying the…

Applications · Statistics 2015-09-17 Francis K. C. Hui , David I. Warton , Scott D. Foster

Finite mixture models are useful in applied econometrics. They can be used to model unobserved heterogeneity, which plays major roles in labor economics, industrial organization and other fields. Mixtures are also convenient in dealing with…

Econometrics · Economics 2018-11-08 Yuichi Kitamura , Louise Laage

In this article, we introduce a new variable selection technique through trimming for finite mixture of regression models. Compared to the traditional variable selection techniques, the new method is robust and not sensitive to outliers.…

Methodology · Statistics 2019-05-06 Sijia Xiang , Weixin Yao

Finite mixture distributions arise in sampling a heterogeneous population. Data drawn from such a population will exhibit extra variability relative to any single subpopulation. Statistical models based on finite mixtures can assist in the…

Methodology · Statistics 2024-01-19 Andrew M. Raim , Nagaraj K. Neerchal , Jorge G. Morel

In finite mixture models, apart from underlying mixing measure, true kernel density function of each subpopulation in the data is, in many scenarios, unknown. Perhaps the most popular approach is to choose some kernel functions that we…

Statistics Theory · Mathematics 2017-09-26 Nhat Ho , XuanLong Nguyen , Ya'acov Ritov

Regularized regression models are well studied and, under appropriate conditions, offer fast and statistically interpretable results. However, large data in many applications are heterogeneous in the sense of harboring distributional…

Methodology · Statistics 2022-10-25 Konstantinos Perrakis , Thomas Lartigue , Frank Dondelinger , Sach Mukherjee

Graphical models are powerful tools for capturing conditional dependence structures in complex systems but remain underexplored in analyzing ordinal data, especially in sports analytics. Ordinal variables, such as team rankings, player…

Methodology · Statistics 2025-12-05 Wang Wen , Ziqi Chen , Guanyu Hu

We observe a $n$-sample, the distribution of which is assumed to belong, or at least to be close enough, to a given mixture model. We propose an estimator of this distribution that belongs to our model and possesses some robustness…

Statistics Theory · Mathematics 2025-02-06 Alexandre Lecestre

Feature noise and label noise are ubiquitous in practical scenarios, which pose great challenges for training a robust machine learning model. Most previous approaches usually deal with only a single problem of either feature noise or label…

Machine Learning · Computer Science 2024-07-08 Yang Wei , Shuo Chen , Shanshan Ye , Bo Han , Chen Gong

Finite mixture modelling is a popular method in the field of clustering and is beneficial largely due to its soft cluster membership probabilities. A common method for fitting finite mixture models is to employ spectral clustering, which…

Machine Learning · Statistics 2024-03-22 Liam Welsh , Phillip Shreeves

The rebmix package provides R functions for random univariate and multivariate finite mixture model generation, estimation, clustering and classification. The paper is focused on multivariate normal mixture models with unrestricted…

Machine Learning · Statistics 2018-01-29 Marko Nagode

We consider a finite mixture of Gaussian regression model for high- dimensional data, where the number of covariates may be much larger than the sample size. We propose to estimate the unknown conditional mixture density by a maximum…

Statistics Theory · Mathematics 2014-09-05 Emilie Devijver
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