Tensor Decomposition Methods for
Latent Variable Model Estimation
          
        
        
          Information
          
          Abstract
          This tutorial surveys algorithms for learning latent
            variable models based on the method-of-moments, focusing on
            algorithms based on low-rank decompositions of higher-order
            tensors.  The target audiences of the tutorial include (i) users of
            latent variable models in applications, and (ii) researchers
            developing techniques for learning latent variable models.  The
            only prior knowledge expected of the audience is a familiarity with
            simple latent variable models (e.g., mixtures of Gaussians), and
            rudimentary linear algebra and probability.  The audience will
            learn about new algorithms for learning latent variable models,
            techniques for developing new learning algorithms based on spectral
            decompositions, and analytical techniques for understanding the
            aforementioned models and algorithms. Advanced topics such as
            learning overcomplete represenations may also be
          discussed.
          Materials