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In this paper we\nconsider possible generalizations of CNNs to signals defined on more general\ndomains without the action of a translation group. In particular, we propose\ntwo constructions, one based upon a hierarchical clustering of the domain, and\nanother based on the spectrum of the graph Laplacian. We show through\nexperiments that for low-dimensional graphs it is possible to learn\nconvolutional layers with a number of parameters independent of the input size,\nresulting in efficient deep architectures.","url_abs":"http://arxiv.org/abs/1312.6203v3","url_pdf":"http://arxiv.org/pdf/1312.6203v3.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"spectral-networks-and-locally-connected","repo_url":"https://github.com/Fuhongshuai/FUHS_GraphCNN","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"tf","reach":null},{"paper_slug":"spectral-networks-and-locally-connected","repo_url":"https://github.com/danielplatt/convolutions","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":{"status":"ok"}},{"paper_slug":"spectral-networks-and-locally-connected","repo_url":"https://github.com/mdeff/cnn_graph","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"tf","reach":null},{"paper_slug":"spectral-networks-and-locally-connected","repo_url":"https://github.com/zdcuob/cnn_graph-","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"tf","reach":{"status":"ok","spdx":"MIT"}}],"tasks":[{"task_slug":"clustering","task_name":"Clustering"},{"task_slug":"translation","task_name":"Translation"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=1312.6203","mcp":{"get_harvested_code_for_paper":{"arxiv_id":"1312.6203"}},"developers":"https://syntology.ai/developers","read_at":"2026-09-24T18:15:14+00:00","read_at_is":"when the build read Syntology's graph, not when any sample ran","claim":"Per-sample execution status on synthesized fixtures; not a correctness claim about the paper. 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