{"url":"/method/poincare-embeddings","slug":"poincare-embeddings","name":"Poincaré Embeddings","full_name":"Poincaré Embeddings","full_name_withheld":false,"description_markdown":"**Poincaré Embeddings** learn hierarchical representations of symbolic data by embedding them into hyperbolic space -- or more precisely into an $n$-dimensional Poincaré ball. Due to the underlying hyperbolic geometry, this allows for learning of parsimonious representations of symbolic data by simultaneously capturing hierarchy and similarity. Embeddings are learnt based on\r\nRiemannian optimization.","description_state":"present","introduced_year":null,"introduced_by":{"title":"Poincaré Embeddings for Learning Hierarchical Representations","paper":"/paper/poincare-embeddings-for-learning-hierarchical","first_author":"Maximilian Nickel","n_authors":2,"url_abs":null,"archive_paper_url":"https://paperswithcode.com/paper/poincare-embeddings-for-learning-hierarchical"},"source":{"url":"http://arxiv.org/abs/1705.08039v2","title":"Poincaré Embeddings for Learning Hierarchical Representations","url_on_a_paper_host":true},"code_snippet_url":null,"code_snippet_url_on_a_code_host":false,"categories":[{"area":"Natural Language Processing","area_id":"natural-language-processing","collection":"Static Word Embeddings","url":"/methods/category/static-word-embeddings","pwc_aliases":[]},{"area":"Natural Language Processing","area_id":"natural-language-processing","collection":"Word Embeddings","url":"/methods/category/word-embeddings","pwc_aliases":[]}],"n_papers_tagged":1,"archive_num_papers":1,"papers_newest_first":[{"paper":"/paper/poincare-embeddings-for-learning-hierarchical","title":"Poincaré Embeddings for Learning Hierarchical Representations","date":"2017-05-22","arxiv_id":"1705.08039","n_code_links":9,"syntology":{"ran":6,"of":14,"unverified":8,"pointer_only":6}}],"papers_shown":1,"tasks":[{"task":"/task/graph-embedding","name":"Graph Embedding","papers":1},{"task":"/task/representation-learning","name":"Representation Learning","papers":1},{"task":"/task/riemannian-optimization","name":"Riemannian optimization","papers":1}],"tasks_shown":3,"n_tasks":3,"usage_by_year":[{"year":"2017","papers":1}],"row_source":"methods_table","archive":{"source":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","archive_url":"https://paperswithcode.com/method/poincare-embeddings"},"syntology_read_at":"2026-09-24T18:15:14+00:00"}