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Typical rank and indscal dimensionality for symmetric three-way arrays of order I×2×2 or I×3×3
A peculiar property of three-way arrays is that the rank they typically have does not necessarily coincide with the maximum possible rank, given their order. Typical tensorial rank has much been… Expand
Handbook of Cluster Analysis
Handbook of Cluster Analysis provides a comprehensive and unified account of the main research developments in cluster analysis. Expand
Constrained monotone EM algorithms for finite mixture of multivariate Gaussians
Theoretical results assure that imposing some constraints on the eigenvalues of the covariance matrices of the multivariate normal components leads to a constrained parameter space with no singularities and at least a smaller number of local maxima of the likelihood function. Expand
A weak degeneracy revealing decomposition for the CANDECOMP/PARAFAC model
The CANDECOMP/PARAFAC (CP) model is a well known and frequently used tool for extracting substantial information from a three‐way data array. It has several useful characteristics and usually gives… Expand
A general maximum likelihood analysis of measurement error in generalized linear models
This paper describes an EM algorithm for maximum likelihood estimation in generalized linear models (GLMs) with continuous measurement error in the explanatory variables. Expand
A mixed non-homogeneous hidden Markov model for categorical data, with application to alcohol consumption.
Hidden Markov models (HMMs) are frequently used to analyse longitudinal data, where the same set of subjects is repeatedly observed over time. In this context, several sources of heterogeneity may… Expand
New methodologies for two-mode (objects and variables) multi-partitioning of two way data are presented. Expand
Three-Mode Component Analysis with Crisp or Fuzzy Partition of Units
A new methodology is proposed for the simultaneous reduction of units, variables, and occasions of a three-mode data set. Units are partitioned into a reduced number of classes, while,… Expand
A mixture of mixture models for a classification problem: The unity measure error
- M. D. Zio, Ugo Guarnera, R. Rocci
- Mathematics, Computer Science
- Comput. Stat. Data Anal.
- 1 February 2007
A mixture of Gaussian mixture models is proposed to deal with the identification of survey respondents providing values in a wrong unity measure. Expand
Uniqueness of three-mode factor models with sparse cores: The 3 × 3 × 3 case
Three-Mode Factor Analysis (3MFA) and PARAFAC are methods to describe three-way data. Both methods employ models with components for the three modes of a three-way array; the 3MFA model also uses a… Expand