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We propose a new approach to cross-lingual semantic parsing by explicitly minimizing cross-lingual divergence between probabilistic latent variables using Optimal Transport. We demonstrate how this direct guidance improves parsing from natural languages using fewer examples and less training. We evaluate our method on two datasets, MTOP and MultiATIS++SQL, establishing state-of-the-art results under a few-shot cross-lingual regime. Ablation studies further reveal that our method improves performance even without parallel input translations. In addition, we show that our model better captures cross-lingual structure in the latent space to improve semantic representation similarity.1<\/jats:p>","DOI":"10.1162\/tacl_a_00611","type":"journal-article","created":{"date-parts":[[2023,11,27]],"date-time":"2023-11-27T16:48:46Z","timestamp":1701103726000},"page":"1432-1450","update-policy":"https:\/\/doi.org\/10.1162\/mitpressjournals.corrections.policy","source":"Crossref","is-referenced-by-count":3,"title":["Optimal Transport Posterior Alignment for Cross-lingual Semantic Parsing"],"prefix":"10.1162","volume":"11","author":[{"given":"Tom","family":"Sherborne","sequence":"first","affiliation":[{"name":"Institute for Language, Cognition and Computation, School of Informatics, University of Edinburgh, 10 Crichton Street, Edinburgh EH8 9AB, UK. tom.sherborne@ed.ac.uk"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tom","family":"Hosking","sequence":"additional","affiliation":[{"name":"Institute for Language, Cognition and Computation, School of Informatics, University of Edinburgh, 10 Crichton Street, Edinburgh EH8 9AB, UK. tom.hosking@ed.ac.uk"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mirella","family":"Lapata","sequence":"additional","affiliation":[{"name":"Institute for Language, Cognition and Computation, School of Informatics, University of Edinburgh, 10 Crichton Street, Edinburgh EH8 9AB, UK. mlap@inf.ed.ac.uk"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"281","published-online":{"date-parts":[[2023,11,16]]},"reference":[{"key":"2023112716473294500_bib1","doi-asserted-by":"publisher","first-page":"3904","DOI":"10.18653\/v1\/2021.findings-emnlp.329","article-title":"Using optimal transport as alignment objective for fine-tuning multilingual contextualized embeddings","volume-title":"Findings of the Association for Computational Linguistics: EMNLP 2021","author":"Alqahtani","year":"2021"},{"key":"2023112716473294500_bib2","doi-asserted-by":"publisher","first-page":"1881","DOI":"10.18653\/v1\/D18-1214","article-title":"Gromov-Wasserstein alignment of word embedding spaces","volume-title":"Proceedings of the 2018 Conference on Empirical Methods in Natural Language Processing","author":"Alvarez-Melis","year":"2018"},{"key":"2023112716473294500_bib3","first-page":"1533","article-title":"Semantic parsing on freebase from question-answer pairs","volume-title":"Proceedings of the 2013 Conference on Empirical Methods in Natural Language Processing","author":"Berant","year":"2013"},{"key":"2023112716473294500_bib4","doi-asserted-by":"publisher","first-page":"5090","DOI":"10.18653\/v1\/2020.emnlp-main.413","article-title":"Low-resource domain adaptation for compositional task-oriented semantic parsing","volume-title":"Proceedings of the 2020 Conference on Empirical Methods in Natural Language Processing (EMNLP)","author":"Chen","year":"2020"},{"issue":"1","key":"2023112716473294500_bib5","doi-asserted-by":"publisher","first-page":"59","DOI":"10.1162\/coli_a_00342","article-title":"Learning an executable neural semantic parser","volume":"45","author":"Cheng","year":"2019","journal-title":"Computational Linguistics"},{"key":"2023112716473294500_bib6","first-page":"2292","article-title":"Sinkhorn distances: Lightspeed computation of optimal transport","volume-title":"Advances in Neural Information Processing Systems 26: 27th Annual Conference on Neural Information Processing Systems 2013. 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