{"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/universal-discrete-time-reservoir-computers","title":"Universal discrete-time reservoir computers with stochastic inputs and linear readouts using non-homogeneous state-affine systems","arxiv_id":"1712.00754","date":"2017-12-03","proceeding":null,"authors":["Lyudmila Grigoryeva","Juan-Pablo Ortega"],"abstract":"A new class of non-homogeneous state-affine systems is introduced for use in\nreservoir computing. Sufficient conditions are identified that guarantee first,\nthat the associated reservoir computers with linear readouts are causal,\ntime-invariant, and satisfy the fading memory property and second, that a\nsubset of this class is universal in the category of fading memory filters with\nstochastic almost surely uniformly bounded inputs. This means that any\ndiscrete-time filter that satisfies the fading memory property with random\ninputs of that type can be uniformly approximated by elements in the\nnon-homogeneous state-affine family.","url_abs":"http://arxiv.org/abs/1712.00754v3","url_pdf":"http://arxiv.org/pdf/1712.00754v3.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":"universal-discrete-time-reservoir-computers","repo_url":"https://github.com/lucasburger/pyRC","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":{"status":"unanswered"}}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=1712.00754","mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}