Posterior Regularization for Learning with Side Information and Weak Supervision

Supervised machine learning techniques have been very successful for a variety of tasks and domains including natural language processing, computer vision, and computational biology. Unfortunately, their use often requires creation of large problem-specific training corpora that can make these methods prohibitively expensive. At the same time, we often have access to external problem-specific information that we cannot alway easily incorporate. We might know how to solve the problem in another domain (e.g. for a different language); we might have access to cheap but noisy training data; or a domain expert might be available who would be able to guide a human learner much more efficiently than by simply creating an IID training corpus. A key challenge for weakly supervised learning is then how to incorporate such kinds of auxiliary information arising from indirect supervision. In this thesis, we present Posterior Regularization, a probabilistic framework for structured, weakly supervised learning. Posterior Regularization is applicable to probabilistic models with latent variables and exports a language for specifying constraints or preferences about posterior distributions of latent variables. We show that this language is powerful enough to specify realistic prior knowledge for a variety applications in natural language processing. Additionally, because Posterior Regularization separates model complexity from the complexity of structural constraints, it can be used for structured problems with relatively little computational overhead. We apply Posterior Regularization to several problems in natural language processing including word alignment for machine translation, transfer of linguistic resources across languages and grammar induction. Additionally, we find that we can apply Posterior Regularization to the problem of multi-view learning, achieving particularly good results for transfer learning. We also explore the theoretical relationship between Posterior Regularization and other proposed frameworks for encoding this kind of prior knowledge, and show a close relationship to Constraint Driven Learning as well as to Generalized Expectation Constraints

State-of-the-art Chinese Word Segmentation with Bi-LSTMs

A wide variety of neural-network architectures have been proposed for the task of Chinese word segmentation. Surprisingly, we find that a bidirectional LSTM model, when combined with standard deep learning techniques and best practices, can achieve better accuracy on many of the popular datasets as compared to models based on more complex neural-network architectures. Furthermore, our error analysis shows that out-of-vocabulary words remain challenging for neural-network models, and many of the remaining errors are unlikely to be fixed through architecture changes. Instead, more effort should be made on exploring resources for further improvement

Expectation Maximization and Posterior Constraints

The expectation maximization (EM) algorithm is a widely used maximum likelihood estimation procedure for statistical models when the values of some of the variables in the model are not observed. Very often, however, our aim is primarily to find a model that assigns values to the latent variables that have intended meaning for our data and maximizing expected likelihood only sometimes accomplishes this. Unfortunately, it is typically difficult to add even simple a-priori information about latent variables in graphical models without making the models overly complex or intractable. In this paper, we present an efficient, principled way to inject rich constraints on the posteriors of latent variables into the EM algorithm. Our method can be used to learn tractable graphical models that satisfy additional, otherwise intractable constraints. Focusing on clustering and the alignment problem for statistical machine translation, we show that simple, intuitive posterior constraints can greatly improve the performance over standard baselines and be competitive with more complex, intractable models

Learning Tractable Word Alignment Models with Complex Constraints

Word-level alignment of bilingual text is a critical resource for a growing variety of tasks. Probabilistic models for word alignment present a fundamental trade-off between richness of captured constraints and correlations versus efficiency and tractability of inference. In this article, we use the Posterior Regularization framework (Graça, Ganchev, and Taskar 2007) to incorporate complex constraints into probabilistic models during learning without changing the efficiency of the underlying model. We focus on the simple and tractable hidden Markov model, and present an efficient learning algorithm for incorporating approximate bijectivity and symmetry constraints. Models estimated with these constraints produce a significant boost in performance as measured by both precision and recall of manually annotated alignments for six language pairs. We also report experiments on two different tasks where word alignments are required: phrase-based machine translation and syntax transfer, and show promising improvements over standard methods

Posterior Regularization for Structured Latent Varaible Models

We present posterior regularization, a probabilistic framework for structured, weakly supervised learning. Our framework efficiently incorporates indirect supervision via constraints on posterior distributions of probabilistic models with latent variables. Posterior regularization separates model complexity from the complexity of structural constraints it is desired to satisfy. By directly imposing decomposable regularization on the posterior moments of latent variables during learning, we retain the computational efficiency of the unconstrained model while ensuring desired constraints hold in expectation. We present an efficient algorithm for learning with posterior regularization and illustrate its versatility on a diverse set of structural constraints such as bijectivity, symmetry and group sparsity in several large scale experiments, including multi-view learning, cross-lingual dependency grammar induction, unsupervised part-of-speech induction, and bitext word alignment

Semantic Frame Identification with Distributed Word Representations

Abstract We present a novel technique for semantic frame identification using distributed representations of predicates and their syntactic context; this technique leverages automatic syntactic parses and a generic set of word embeddings. Given labeled data annotated with frame-semantic parses, we learn a model that projects the set of word representations for the syntactic context around a predicate to a low dimensional representation. The latter is used for semantic frame identification; with a standard argument identification method inspired by prior work, we achieve state-ofthe-art results on FrameNet-style framesemantic analysis. Additionally, we report strong results on PropBank-style semantic role labeling in comparison to prior work