English
Related papers

Related papers: Identifiability of multivariate logistic mixture m…

200 papers

The parameters of a linear compartment model are usually estimated from experimental input-output data. A problem arises when infinitely many parameter values can yield the same result; such a model is called unidentifiable. In this case,…

Combinatorics · Mathematics 2016-03-08 Jasmijn A. Baaijens , Jan Draisma

In this paper, paired comparison models with stochastic background are investigated. We focus on the models that allow three options for choice. We estimate all parameters, the strength of the objects and the boundaries of equal decision,…

Optimization and Control · Mathematics 2025-02-20 László Gyarmati , Csaba Mihálykó , Eva Orbán-Mihálykó , András Mihálykó

A mixture of experts models the conditional density of a response variable using a mixture of regression models with covariate-dependent mixture weights. We extend the finite mixture of experts model by allowing the parameters in both the…

Computation · Statistics 2022-10-14 Parfait Munezero , Mattias Villani , Robert Kohn

Linear mixed effects models (LMMs) are a popular and powerful tool for analyzing clustered or repeated observations for numeric outcomes. LMMs consist of a fixed and a random component, specified in the model through their respective design…

Statistics Theory · Mathematics 2019-12-10 Rok Blagus , Jakob Peterlin , Nataša Kejžar

Variational inference is a popular method for estimating model parameters and conditional distributions in hierarchical and mixed models, which arise frequently in many settings in the health, social, and biological sciences. Variational…

Methodology · Statistics 2019-01-10 Ted Westling , Tyler H. McCormick

Model merging combines knowledge from separately fine-tuned models, yet the factors driving its success remain poorly understood. While recent work treats mergeability as an intrinsic property of the models, we show with an…

Machine Learning · Computer Science 2026-05-27 Luca Zhou , Bo Zhao , Rose Yu , Emanuele Rodolà

The finite Gamma mixture model is often used to describe randomness in income data, insurance data, and data from other applications. The popular likelihood approach, however, does not work for this model because the likelihood function is…

Statistics Theory · Mathematics 2020-11-10 Mingxing He , Jiahua Chen

This paper presents a method for investigating, through an automatic procedure, the (lack of) identifiability of parametrized dynamical models. This method takes into account constraints on parameters and returns parameters whose…

Dynamical Systems · Mathematics 2016-10-11 Nathalie Verdière , Sébastien Orange

Identifiability concerns finding which unknown parameters of a model can be quantified from given input-output data. Many linear ODE models, used in systems biology and pharmacokinetics, are unidentifiable, which means that parameters can…

Algebraic Geometry · Mathematics 2013-12-12 Nicolette Meshkat , Seth Sullivant

State-space models are dynamical systems defined by a latent and an observed process. In ecology, stochastic state-space models in discrete time are most often used to describe the imperfectly observed dynamics of population sizes or animal…

Methodology · Statistics 2025-08-13 Frederic Barraquand , Julien Gibaud

In cluster analysis, it can be useful to interpret the partition built from the data in the light of external categorical variables which were not directly involved to cluster the data. An approach is proposed in the model-based clustering…

Finite mixture models have been a very important tool for exploring complex data structures in many scientific areas, for example, economics, epidemiology, finance. In the past decade, semiparametric techniques have been popularly…

Methodology · Statistics 2018-11-15 Sijia Xiang , Weixin Yao , Guangren Yang

Data science projects often involve various machine learning (ML) methods that depend on data, code, and models. One of the key activities in these projects is the selection of a model or algorithm that is appropriate for the data analysis…

Machine Learning · Computer Science 2023-11-27 Cristina Tavares , Nathalia Nascimento , Paulo Alencar , Donald Cowan

Analysis of three-way data is becoming ever more prevalent in the literature, especially in the area of clustering and classification. Real data, including real three-way data, are often contaminated by potential outlying observations.…

Finite mixtures of matrix normal distributions are a powerful tool for classifying three-way data in unsupervised problems. The distribution of each component is assumed to be a matrix variate normal density. The mixture model can be…

Methodology · Statistics 2013-03-07 Cinzia Viroli

In computational materials science, mechanical properties are typically extracted from simulations by means of analysis routines that seek to mimic their experimental counterparts. However, simulated data often exhibit uncertainties that…

Data Analysis, Statistics and Probability · Physics 2017-12-07 Paul N. Patrone , Anthony J. Kearsley , Andrew M. Dienstfrey

Data taken from observations of the natural world or laboratory measurements often depend on parameters which can vary in unexpected ways. In this paper we demonstrate how machine learning can be leveraged to detect changes in global…

Fluid Dynamics · Physics 2021-11-25 Logan M. Kageorge , Roman O. Grigoriev , Michael F. Schatz

Continual learning in environments with shifting data distributions is a challenging problem with several real-world applications. In this paper we consider settings in which the data distribution(task) shifts abruptly and the timing of…

Machine Learning · Computer Science 2022-01-07 Mengda Xu , Sumitra Ganesh , Pranay Pasula

Actively monitoring machine learning models during production operations helps ensure prediction quality and detection and remediation of unexpected or undesired conditions. Monitoring models already deployed in big data environments brings…

Machine Learning · Computer Science 2022-11-14 Bradley Eck , Duygu Kabakci-Zorlu , Yan Chen , France Savard , Xiaowei Bao

Datasets containing both categorical and continuous variables are frequently encountered in many areas, and with the rapid development of modern measurement technologies, the dimensions of these variables can be very high. Despite the…

Methodology · Statistics 2024-01-03 Binyan Jiang , Chenlei Leng , Cheng Wang , Zhongqing Yang , Xinyang Yu