Constraining Linear-chain CRFs to Regular Languages
This addresses the problem of handling nonlocal constraints in structured prediction for tasks like semantic role labeling, but it is incremental as it builds upon existing CRF frameworks.
The authors tackled the limitation of linear-chain CRFs in representing nonlocal dependencies by introducing a generalization called regular-constrained CRF (RegCCRF) that enforces constraints via regular languages, and they demonstrated improved performance by incorporating it into a neural model for semantic role labeling, achieving state-of-the-art results on a standard dataset.
A major challenge in structured prediction is to represent the interdependencies within output structures. When outputs are structured as sequences, linear-chain conditional random fields (CRFs) are a widely used model class which can learn \textit{local} dependencies in the output. However, the CRF's Markov assumption makes it impossible for CRFs to represent distributions with \textit{nonlocal} dependencies, and standard CRFs are unable to respect nonlocal constraints of the data (such as global arity constraints on output labels). We present a generalization of CRFs that can enforce a broad class of constraints, including nonlocal ones, by specifying the space of possible output structures as a regular language $\mathcal{L}$. The resulting regular-constrained CRF (RegCCRF) has the same formal properties as a standard CRF, but assigns zero probability to all label sequences not in $\mathcal{L}$. Notably, RegCCRFs can incorporate their constraints during training, while related models only enforce constraints during decoding. We prove that constrained training is never worse than constrained decoding, and show empirically that it can be substantially better in practice. Additionally, we demonstrate a practical benefit on downstream tasks by incorporating a RegCCRF into a deep neural model for semantic role labeling, exceeding state-of-the-art results on a standard dataset.