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        <title>Tensors over Semirings for Latent-Variable Weighted Logic Programs</title>
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    <abstract>Semiring parsing is an elegant framework for describing parsers by using semiring weighted logic programs. In this paper we present a generalization of this concept: latent-variable semiring parsing. With our framework, any semiring weighted logic program can be latentified by transforming weights from scalar values of a semiring to rank-n arrays, or tensors, of semiring values, allowing the modelling of latent-variable models within the semiring parsing framework. Semiring is too strong a notion when dealing with tensors, and we have to resort to a weaker structure: a partial semiring. We prove that this generalization preserves all the desired properties of the original semiring framework while strictly increasing its expressiveness.</abstract>
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%0 Conference Proceedings
%T Tensors over Semirings for Latent-Variable Weighted Logic Programs
%A Balkir, Esma
%A Gildea, Daniel
%A Cohen, Shay B.
%S Proceedings of the 16th International Conference on Parsing Technologies and the IWPT 2020 Shared Task on Parsing into Enhanced Universal Dependencies
%D 2020
%8 jul
%I Association for Computational Linguistics
%C Online
%F balkir-etal-2020-tensors
%X Semiring parsing is an elegant framework for describing parsers by using semiring weighted logic programs. In this paper we present a generalization of this concept: latent-variable semiring parsing. With our framework, any semiring weighted logic program can be latentified by transforming weights from scalar values of a semiring to rank-n arrays, or tensors, of semiring values, allowing the modelling of latent-variable models within the semiring parsing framework. Semiring is too strong a notion when dealing with tensors, and we have to resort to a weaker structure: a partial semiring. We prove that this generalization preserves all the desired properties of the original semiring framework while strictly increasing its expressiveness.
%R 10.18653/v1/2020.iwpt-1.8
%U https://aclanthology.org/2020.iwpt-1.8
%U https://doi.org/10.18653/v1/2020.iwpt-1.8
%P 73-90

Markdown (Informal)

[Tensors over Semirings for Latent-Variable Weighted Logic Programs](https://aclanthology.org/2020.iwpt-1.8) (Balkir et al., IWPT 2020)

• Tensors over Semirings for Latent-Variable Weighted Logic Programs (Balkir et al., IWPT 2020)

ACL

• Esma Balkir, Daniel Gildea, and Shay B. Cohen. 2020. Tensors over Semirings for Latent-Variable Weighted Logic Programs. In Proceedings of the 16th International Conference on Parsing Technologies and the IWPT 2020 Shared Task on Parsing into Enhanced Universal Dependencies, pages 73–90, Online. Association for Computational Linguistics.