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Handbook of Mixed Membership Models and Their Applications

Edited by: Edoardo M. Airoldi , David M. Blei , Elena A. Erosheva , Stephen E. Fienberg

Print publication date:  November  2014
Online publication date:  November  2014

Print ISBN: 9781466504080
eBook ISBN: 9781466504097
Adobe ISBN:

10.1201/b17520
 Cite  Marc Record

Book description

In response to scientific needs for more diverse and structured explanations of statistical data, researchers have discovered how to model individual data points as belonging to multiple groups. Handbook of Mixed Membership Models and Their Applications shows you how to use these flexible modeling tools to uncover hidden patterns in modern high-dimensional multivariate data. It explores the use of the models in various application settings, including survey data, population genetics, text analysis, image processing and annotation, and molecular biology.

Through examples using real data sets, you?ll discover how to characterize complex multivariate data in:

  • Studies involving genetic databases
  • Patterns in the progression of diseases and disabilities
  • Combinations of topics covered by text documents
  • Political ideology or electorate voting patterns
  • Heterogeneous relationships in networks, and much more

The handbook spans more than 20 years of the editors? and contributors? statistical work in the field. Top researchers compare partial and mixed membership models, explain how to interpret mixed membership, delve into factor analysis, and describe nonparametric mixed membership models. They also present extensions of the mixed membership model for text analysis, sequence and rank data, and network data as well as semi-supervised mixed membership models.

Table of contents

Chapter  1:  Introduction to Mixed Membership Models and Methods Download PDF
Chapter  2:  A Tale of Two (Types of) Memberships: Comparing Mixed and Partial Membership with a Continuous Data Example Download PDF
Chapter  3:  Interpreting Mixed Membership Models: Implications of Erosheva’s Representation Theorem Download PDF
Chapter  4:  A Simple and General Exponential Family Framework for Partial Membership and Factor Analysis Download PDF
Chapter  5:  Nonparametric Mixed Membership Models Download PDF
Chapter  6:  A Mixed Membership Approach to the Assessment of Political Ideology from Survey Responses Download PDF
Chapter  7:  Estimating Diagnostic Error without a Gold Standard: A Mixed Membership Approach Download PDF
Chapter  8:  Interpretability Constraints and Trade-offs in Using Mixed Membership Models Download PDF
Chapter  9:  Mixed Membership Trajectory Models Download PDF
Chapter  10:  An Analysis of Development of Dementia through the Extended Trajectory Grade of Membership Model Download PDF
Chapter  11:  Bayesian Nonnegative Matrix Factorization with Stochastic Variational Inference Download PDF
Chapter  12:  Care and Feeding of Topic Models: Problems, Diagnostics, and Improvements Download PDF
Chapter  13:  Block-LDA: Jointly Modeling Entity-Annotated Text and Entity-Entity Links Download PDF
Chapter  14:  Robust Estimation of Topic Summaries Leveraging Word Frequency and Exclusivity Download PDF
Chapter  15:  Mixed Membership Classification for Documents with Hierarchically Structured Labels Download PDF
Chapter  16:  Discriminative Mixed Membership Models Download PDF
Chapter  17:  Mixed Membership Matrix Factorization Download PDF
Chapter  18:  Discriminative Training of Mixed Membership Models Download PDF
Chapter  19:  Population Stratification with Mixed Membership Models Download PDF
Chapter  20:  Mixed Membership Models for Time Series Download PDF
Chapter  21:  Mixed Membership Models for Rank Data: Investigating Structure in Irish Voting Data Download PDF
Chapter  22:  Hierarchical Mixed Membership Stochastic Blockmodels for Multiple Networks and Experimental Interventions Download PDF
Chapter  23:  Analyzing Time-Evolving Networks using an Evolving Cluster Mixed Membership Blockmodel Download PDF
Chapter  24:  Mixed Membership Blockmodels for Dynamic Networks with Feedback Download PDF
Chapter  25:  Overlapping Clustering Methods for Networks Download PDF
Author_Index Download PDF
prelims Download PDF
Subject_Index Download PDF
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