{"url":"/method/cayleynet","slug":"cayleynet","name":"CayleyNet","full_name":"CayleyNet","full_name_withheld":false,"description_markdown":"The core ingredient of **CayleyNet** is a new class of parametric rational complex functions (Cayley polynomials) allowing to efficiently compute spectral filters on graphs that specialize on frequency bands of interest. The model generates rich spectral filters that are localized in space, scales linearly with the size of the input data for sparsely-connected graphs, and can handle different constructions of Laplacian operators.\r\n\r\nDescription adapted from: [CayleyNets: Graph Convolutional Neural Networks with Complex Rational Spectral Filters](https://arxiv.org/pdf/1705.07664.pdf)","description_state":"present","introduced_year":null,"introduced_by":{"title":"CayleyNets: Graph Convolutional Neural Networks with Complex Rational Spectral Filters","paper":"/paper/cayleynets-graph-convolutional-neural","first_author":"Ron Levie","n_authors":4,"url_abs":null,"archive_paper_url":"https://paperswithcode.com/paper/cayleynets-graph-convolutional-neural"},"source":{"url":"http://arxiv.org/abs/1705.07664v2","title":"CayleyNets: Graph Convolutional Neural Networks with Complex Rational Spectral Filters","url_on_a_paper_host":true},"code_snippet_url":null,"code_snippet_url_on_a_code_host":false,"categories":[{"area":"Graphs","area_id":"graphs","collection":"Graph Models","url":"/methods/category/graph-models","pwc_aliases":[]}],"n_papers_tagged":1,"archive_num_papers":1,"papers_newest_first":[{"paper":"/paper/cayleynets-graph-convolutional-neural","title":"CayleyNets: Graph Convolutional Neural Networks with Complex Rational Spectral Filters","date":"2017-05-22","arxiv_id":"1705.07664","n_code_links":2,"syntology":{"ran":3,"of":3,"unverified":0,"pointer_only":3}}],"papers_shown":1,"tasks":[{"task":"/task/community-detection","name":"Community Detection","papers":1},{"task":"/task/deep-learning","name":"Deep Learning","papers":1},{"task":"/task/classification","name":"General Classification","papers":1},{"task":"/task/image-classification","name":"Image Classification","papers":1},{"task":"/task/matrix-completion","name":"Matrix Completion","papers":1},{"task":"/task/node-classification","name":"Node Classification","papers":1},{"task":"/task/image-classification","name":"image-classification","papers":1}],"tasks_shown":7,"n_tasks":7,"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/cayleynet"},"syntology_read_at":"2026-09-24T18:15:14+00:00"}