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Efficiently Inducing Features of Conditional Random Fields (1212.2504v1)

Published 19 Oct 2012 in cs.LG and stat.ML

Abstract: Conditional Random Fields (CRFs) are undirected graphical models, a special case of which correspond to conditionally-trained finite state machines. A key advantage of these models is their great flexibility to include a wide array of overlapping, multi-granularity, non-independent features of the input. In face of this freedom, an important question that remains is, what features should be used? This paper presents a feature induction method for CRFs. Founded on the principle of constructing only those feature conjunctions that significantly increase log-likelihood, the approach is based on that of Della Pietra et al [1997], but altered to work with conditional rather than joint probabilities, and with additional modifications for providing tractability specifically for a sequence model. In comparison with traditional approaches, automated feature induction offers both improved accuracy and more than an order of magnitude reduction in feature count; it enables the use of richer, higher-order Markov models, and offers more freedom to liberally guess about which atomic features may be relevant to a task. The induction method applies to linear-chain CRFs, as well as to more arbitrary CRF structures, also known as Relational Markov Networks [Taskar & Koller, 2002]. We present experimental results on a named entity extraction task.

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Authors (1)
  1. Andrew McCallum (132 papers)
Citations (479)

Summary

Efficient Feature Induction for Conditional Random Fields

The paper "Efficiently Inducing Features of Conditional Random Fields" by Andrew McCallum explores enhancing the performance and efficiency of Conditional Random Fields (CRFs) through an automated feature induction process. The primary goal is to address the challenge of determining which features should be employed in CRFs, given their flexibility to incorporate a vast array of arbitrary, overlapping, and non-independent features.

CRFs, being undirected graphical models, particularly excel in sequence modeling tasks such as NLP. They offer advantages over generative models by directly modeling the conditional probability of output sequences given input data. The paper highlights experimental success in tasks such as part-of-speech tagging, noun phrase segmentation, and named entity recognition.

Feature Induction Method

The feature induction method proposed in this paper is centered on an iterative approach to construct feature conjunctions that considerably increase conditional log-likelihood if introduced to the model. Unlike traditional methods that rely on predetermined conjunction patterns resulting in extensive feature sets, McCallum's approach is to hone in on only those features that offer significant statistical benefit.

The induction process allows for:

  • Improved Efficiency: By automating feature induction, it is possible to significantly reduce the model's parameter count without sacrificing accuracy. This allows the usage of richer, higher-order Markov models.
  • Greater Flexibility: The method offers more freedom to hypothesize about atomic input variables relevant to the task.
  • Reduced Overfitting: Using feature induction has shown to alleviate overfilling tendencies common with fixed-pattern models.

The paper emphasizes a mean-field approximation to calculate the partition function in conditional models more efficiently, facilitating the exploration of a vast space of possible features while maintaining computational feasibility. The approach evaluates candidate features based on their likelihood gain and employs Newton's method for estimating feature weights iteratively, which is both time-efficient and effective in high-dimensional spaces.

Experimental Outcomes

McCallum presents experimental evidence indicating the efficacy of this feature induction method on NLP tasks like named entity extraction and noun phrase segmentation.

  • Named Entity Recognition: On the CoNLL-2003 shared task, feature induction reduced error by 40% and increased the F1-score from 73% to 89% over models using fixed conjunction patterns. This is attributed to the method's ability to minimize overfitting while leveraging domain-rich features.
  • Noun Phrase Segmentation: Here, the feature induction matched state-of-the-art performance with a considerably reduced number of features (from millions to around 25,000), showing both efficiency and competitiveness.

Implications and Future Directions

The implications of this research range from practical applications in NLP tasks to broader theoretical considerations in statistical modeling. Practically, it enhances the deployability of CRFs by reducing computational resources and the need for manual feature engineering. Theoretically, it serves as a foundation for exploring more refined feature spaces and investigating structure learning within conditional models.

Possible future developments may include:

  • Extending the method to handle more complex CRF structures, such as Relational Markov Networks, which may involve inducing larger or dynamic output cliques.
  • Further exploration into the theoretical relationships between this feature induction method and other approaches such as Boosting.
  • Application to other domains where CRFs could benefit from similar advancements in feature induction, thereby expanding the scope of tasks CRFs could address more efficiently.

In conclusion, the paper lays a robust framework for enhancing CRFs via automated feature induction, providing significant advances in terms of efficiency and performance across challenging NLP tasks.