Document modeling is important for document retrieval and categorization. The probabilistic latent semantic analysis (PLSA) and latent Dirichlet allocation (LDA) are popular paradigms of document models where word/document correlations are inferred by latent topics. In PLSA and LDA, the unseen words and documents are not explicitly represented at the same time. Model generalization is constrain...

Co-clustering has emerged as an important technique for mining contingency data matrices. However, almost all existing coclustering algorithms are hard partitioning, assigning each row and column of the data matrix to one cluster. Recently a Bayesian co-clustering approach has been proposed which allows a probability distribution membership in row and column clusters. The approach uses variatio...

Let Q be a given n× n square symmetric matrix of nonnegative elements between 0 and 1, e.g. similarities. Fuzzy clustering results in fuzzy assignment of individuals to K clusters. In additive fuzzy clustering, the n × K fuzzy memberships matrix P is found by leastsquares approximation of the off-diagonal elements of Q by inner products of rows of P. By contrast, kernelized fuzzy c-means is not...

We DownWrite from digit LCM space by sampling from the Gaus-sian models for each digit class.

Latent class analysis has been used to model measurement error, to identify flawed survey questions and to estimate mode effects. Using data from a survey of University of Maryland alumni together with alumni records, we evaluate this technique to determine its usefulness for detecting bad questions in the survey context. Two sets of latent class analysis models are applied in this evaluation: ...

Article history: Received 29 June 2015 Received in revised form 26 January 2016 Accepted 26 January 2016 Available online 29 January 2016 Research has shown that a positive school climate plays a protective role in the social, emotional, and academic development of adolescent youth. Researchers have utilized variable centeredmeasures to assess school climate, which is limited in capturing heter...

Abstract Spectral embedding of network adjacency matrices often produces node representations living approximately around low-dimensional submanifold structures. In particular, hidden substructure is expected to arise when the graph generated from a latent position model. Furthermore, presence communities within might generate community-specific structures in embedding, but this not explicitly ...

Latent class and the Grade of Membership (GoM) models are two examples of latent structure models. Latent class models are discrete mixture models. The GoM model has been originally developed as an extension of latent class models to a continuous mixture. This note describes a constrained latent class model which is equivalent to the GoM model, and provides a detailed proof of this equivalence....