Unsupervised spectral learning of FSTs
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Finite-State Transducers (FST) are a standard tool for modeling paired input output sequences and are used in numerous applications, ranging from computational biology to natural language processing. Recently Balle et al.  presented a spectral algorithm for learning FST from samples of aligned input-output sequences. In this paper we address the more realistic, yet challenging setting where the alignments are unknown to the learning algorithm. We frame FST learning as finding a low rank Hankel matrix satisfying constraints derived from observable statistics. Under this formulation, we provide identifiability results for FST distributions. Then, following previous work on rank minimization, we propose a regularized convex relaxation of this objective which is based on minimizing a nuclear norm penalty subject to linear constraints and can be solved efficiently.
CitacióBailly, R.; Carreras, X.; Quattoni, A.J. Unsupervised spectral learning of FSTs. A: Neural Information Processing Systems Conference. "Advances in Neural Information Processing Systems 26 (NIPS 2013)". Lake Tahoe, Nevada: 2013, p. 1-13.