Title: Spectral Learning Methods for Probabilistic Automata Abstract: The goal of this talk is to present the spectral learning method developed recently for Hidden Markov Models in the setting of Probabilistic Finite Automata. We will begin by motivating the problem from both the Machine Learning and Grammatical Inference perspectives. Then the basic algorithm will be derived in detail and a proof sketch of its sample complexity will be given. Finally, we will present an extension of the basic algorithm capable of learning Probabilistic Transducers.