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Cotterell, Ryan (2)
The Joint Conference of the 59th Annual Meeting of the Association for Computational Linguistics and the 11th International Joint Conference on Natural Language Processing 2021 (2)
Vieira, Tim (2)
Zmigrod, Ran (2)
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Hits 1 – 2 of 2
1
Higher-order Derivatives of Weighted Finite-state Machines ...
The Joint Conference of the 59th Annual Meeting of the Association for Computational Linguistics and the 11th International Joint Conference on Natural Language Processing 2021
;
Cotterell, Ryan
;
Vieira, Tim
;
Zmigrod, Ran
. - : Underline Science Inc., 2021
Abstract:
Read paper: https://www.aclanthology.org/2021.acl-short.32 Abstract: Weighted finite-state machines are a fundamental building block of NLP systems. They have withstood the test of time---from their early use in noisy channel models in the 1990s up to modern-day neurally parameterized conditional random fields. This work examines the computation of higher-order derivatives with respect to the normalization constant for weighted finite-state machines. We provide a general algorithm for evaluating derivatives of all orders, which has not been previously described in the literature. In the case of second-order derivatives, our scheme runs in the optimal O(A^2 N^4) time where A is the alphabet size and N is the number of states. Our algorithm is significantly faster than prior algorithms. Additionally, our approach leads to a significantly faster algorithm for computing second-order expectations, such as covariance matrices and gradients of first-order expectations. ...
URL:
https://dx.doi.org/10.48448/b0dp-6v40
https://underline.io/lecture/25998-higher-order-derivatives-of-weighted-finite-state-machines
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2
On Finding the K-best Non-projective Dependency Trees ...
The Joint Conference of the 59th Annual Meeting of the Association for Computational Linguistics and the 11th International Joint Conference on Natural Language Processing 2021
;
Cotterell, Ryan
;
Vieira, Tim
. - : Underline Science Inc., 2021
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