{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/an-equivalence-of-fully-connected-layer-and","title":"An Equivalence of Fully Connected Layer and Convolutional Layer","arxiv_id":"1712.01252","date":"2017-12-04","proceeding":null,"authors":["Wei Ma","Jun Lu"],"abstract":"This article demonstrates that convolutional operation can be converted to\nmatrix multiplication, which has the same calculation way with fully connected\nlayer. The article is helpful for the beginners of the neural network to\nunderstand how fully connected layer and the convolutional layer work in the\nbackend. To be concise and to make the article more readable, we only consider\nthe linear case. It can be extended to the non-linear case easily through\nplugging in a non-linear encapsulation to the values like this $\\sigma(x)$\ndenoted as $x^{\\prime}$.","url_abs":"http://arxiv.org/abs/1712.01252v1","url_pdf":"http://arxiv.org/pdf/1712.01252v1.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":"an-equivalence-of-fully-connected-layer-and","repo_url":"https://github.com/statsml/Equiv-FCL-CONVL","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"tf","reach":{"status":"unanswered"}}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":"https://syntology.ai/paper/1712.01252","atlas_url":"https://app.syntology.ai/?focus=1712.01252","mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}