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