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This paper introduces a novel mixture model-based approach for simultaneous clustering and optimal segmentation of functional data which are curves presenting regime changes. The proposed model consists in a finite mixture of piecewise…

Methodology · Statistics 2014-05-02 Faicel Chamroukhi

This article describes blavaan, an R package for estimating Bayesian structural equation models (SEMs) via JAGS and for summarizing the results. It also describes a novel parameter expansion approach for estimating specific types of models…

Computation · Statistics 2018-06-19 Edgar C. Merkle , Yves Rosseel

Structural equation models comprise a large class of popular statistical models, including factor analysis models, certain mixed models, and extensions thereof. Model estimation is complicated by the fact that we typically have multiple…

Computation · Statistics 2022-03-18 Edgar C. Merkle , Ellen Fitzsimmons , James Uanhoro , Ben Goodrich

The identification of latent mediator variables is typically conducted using standard structural equation models (SEMs). When SEM is applied to mediation analysis with a causal interpretation, valid inference relies on the strong assumption…

Methodology · Statistics 2025-10-02 Sofia Morelli , Roberto Faleh , Holger Brandt

This chapter explores dynamical structural equation models (DSEMs) and their nonlinear generalizations into sheaves of dynamical systems. It demonstrates these two disciplines on part of the food web in the Bering Sea. The translation from…

Algebraic Topology · Mathematics 2025-11-07 Michael Robinson , Michael L. Szulczewski , James T. Thorson

Software is increasingly produced in the form of ecosystems, collections of interdependent components maintained by a distributed community. These ecosystems act as network organizations, not markets, and thus often lack actionable…

Software Engineering · Computer Science 2020-12-14 Christopher Bogart , James Howison , James Herbsleb

Structural equation models (SEMs) are widely used in sciences, ranging from economics to psychology, to uncover causal relationships underlying a complex system under consideration and estimate structural parameters of interest. We study…

Machine Learning · Statistics 2020-10-21 Luofeng Liao , You-Lin Chen , Zhuoran Yang , Bo Dai , Zhaoran Wang , Mladen Kolar

Structural Equation Modeling (SEM) is a flexible statistical technique with multiple applications, including behavioral genetics and social sciences. Building on the original design of the umx package, which improved accessibility to OpenMx…

Applications · Statistics 2026-02-10 Luis FS Castro-de-Araujo , Nathan Gillespie , Michael C Neale , Timothy Bates

While it is well known that high levels of prenatal alcohol exposure (PAE) result in significant cognitive deficits in children, the exact nature of the dose response is less well understood. In particular, there is a pressing need to…

Structural equation models (SEMs) have been widely adopted for inference of causal interactions in complex networks. Recent examples include unveiling topologies of hidden causal networks over which processes such as spreading diseases, or…

Machine Learning · Statistics 2017-04-05 Yanning Shen , Brian Baingana , Georgios B. Giannakis

Structural equation models (SEMs) are fundamental to causal mediation pathway discovery. However, traditional SEM approaches often rely on \emph{ad hoc} model specifications when handling complex data structures such as mixed data types or…

Methodology · Statistics 2025-10-22 Canyi Chen , Ritoban Kundu , Wei Hao , Peter X. -K. Song

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 identification of different homogeneous groups of observations and their appropriate analysis in PLS-SEM has become a critical issue in many appli- cation fields. Usually, both SEM and PLS-SEM assume the homogeneity of all units on…

Methodology · Statistics 2018-10-18 Mario Fordellone , Maurizio Vichi

Path analysis is a model class of structural equation modeling (SEM), which it describes causal relations among measured variables in the form of a multiple linear regression. This paper presents two estimation formulations, one each for…

Optimization and Control · Mathematics 2019-05-03 Anupon Pruttiakaravanich , Jitkomut Songsiri

The problem of subgroups is ubiquitous in scientific research (ex. disease heterogeneity, spatial distributions in ecology...), and piecewise regression is one way to deal with this phenomenon. Morse-Smale regression offers a way to…

Machine Learning · Statistics 2017-08-22 Colleen M. Farrelly

We propose a versatile framework for survival analysis that combines advanced concepts from statistics with deep learning. The presented framework is based on piecewise exponential models and thereby supports various survival tasks, such as…

Machine Learning · Computer Science 2021-03-02 Philipp Kopper , Sebastian Pölsterl , Christian Wachinger , Bernd Bischl , Andreas Bender , David Rügamer

The study of animal diets and the proportional contribution that different foods make to their diets is an important task in ecology. Stable Isotope Mixing Models (SIMMs) are an important tool for studying an animal's diet and understanding…

Generalized additive models (GAMs) connecting a set of scalar covariates that map 1-1 to a response are commonly employed in ecology and beyond. However, covariates are often inherently non-scalar, taking multiple values for each…

Methodology · Statistics 2025-09-11 David L Miller , Ken Newman , Thomas Cornulier

This paper provides a tutorial discussion on path analysis structure with concept of structural equation modelling (SEM). The paper delivers an introduction to path analysis technique and explain to how to deal with analyzing the data with…

Methodology · Statistics 2015-04-15 Hashem Salarzadeh Jenatabadi

The EM algorithm is a method for finding the maximum likelihood estimate of a model in the presence of missing data. Unfortunately, EM does not produce a parameter covariance matrix for standard errors. Supplemented EM (SEM; Meng & Rubin,…

Computation · Statistics 2016-05-04 Joshua N. Pritikin