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Surv."],"published-print":{"date-parts":[[2024,1,31]]},"abstract":"<jats:p>Hypergraphs have attracted increasing attention in recent years thanks to their flexibility in naturally modeling a broad range of systems where high-order relationships exist among their interacting parts. This survey reviews the newly born hypergraph representation learning problem, whose goal is to learn a function to project objects\u2014most commonly nodes\u2014of an input hyper-network into a latent space such that both the structural and relational properties of the network can be encoded and preserved. We provide a thorough overview of existing literature and offer a new taxonomy of hypergraph embedding methods by identifying three main families of techniques, i.e., spectral, proximity-preserving, and (deep) neural networks. For each family, we describe its characteristics and our insights in a single yet flexible framework and then discuss the peculiarities of individual methods, as well as their pros and cons. We then review the main tasks, datasets, and settings in which hypergraph embeddings are typically used. We finally identify and discuss open challenges that would inspire further research in this field.<\/jats:p>","DOI":"10.1145\/3605776","type":"journal-article","created":{"date-parts":[[2023,6,22]],"date-time":"2023-06-22T18:47:17Z","timestamp":1687459637000},"page":"1-38","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":204,"title":["A Survey on Hypergraph Representation Learning"],"prefix":"10.1145","volume":"56","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6366-0546","authenticated-orcid":false,"given":"Alessia","family":"Antelmi","sequence":"first","affiliation":[{"name":"Universit\u00e0 degli Studi di Torino, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9148-9769","authenticated-orcid":false,"given":"Gennaro","family":"Cordasco","sequence":"additional","affiliation":[{"name":"Universit\u00e0 della Campania \u201cLuigi Vanvitelli\u201d, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4890-5020","authenticated-orcid":false,"given":"Mirko","family":"Polato","sequence":"additional","affiliation":[{"name":"Universit\u00e0 degli Studi di Torino, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8437-5253","authenticated-orcid":false,"given":"Vittorio","family":"Scarano","sequence":"additional","affiliation":[{"name":"Universit\u00e0 degli Studi di Salerno, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8267-9808","authenticated-orcid":false,"given":"Carmine","family":"Spagnuolo","sequence":"additional","affiliation":[{"name":"Universit\u00e0 degli Studi di Salerno, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6831-0422","authenticated-orcid":false,"given":"Dingqi","family":"Yang","sequence":"additional","affiliation":[{"name":"University of Macau, Macau SAR, China, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"320","published-online":{"date-parts":[[2023,8,26]]},"reference":[{"key":"e_1_3_3_2_2","first-page":"17","volume-title":"Proc. of the 23rd Int. 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