Tensor Decomposition Algorithms 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
part1 |
part2 |
part3