{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T04:23:51Z","timestamp":1648959831815},"reference-count":3,"publisher":"MIT Press - Journals","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neural Computation"],"published-print":{"date-parts":[[2001,4,1]]},"abstract":"<jats:p> We introduce a new supervised learning model that is a nonhomogeneous Markov process and investigate its properties. We are interested in conditions that ensure that the process converges to a \u201ccorrect state,\u201d which means that the system agrees with the teacher on every \u201cquestion.\u201d We prove a sufficient condition for almost sure convergence to a correct state and give several applications to the convergence theorem. In particular, we prove several convergence results for well-known learning rules in neural networks. <\/jats:p>","DOI":"10.1162\/089976601300014411","type":"journal-article","created":{"date-parts":[[2002,7,27]],"date-time":"2002-07-27T11:55:01Z","timestamp":1027770901000},"page":"935-957","source":"Crossref","is-referenced-by-count":0,"title":["A New On-Line Learning Model"],"prefix":"10.1162","volume":"13","author":[{"given":"Shahar","family":"Mendelson","sequence":"first","affiliation":[{"name":"Department of Mathematics, Technion, Haifa 32000, Israel"}]}],"member":"281","reference":[{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.76.3021"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.58.2335"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-6080(05)80131-5"}],"container-title":["Neural Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mitpressjournals.org\/doi\/pdf\/10.1162\/089976601300014411","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,3,12]],"date-time":"2021-03-12T21:48:35Z","timestamp":1615585715000},"score":1,"resource":{"primary":{"URL":"https:\/\/direct.mit.edu\/neco\/article\/13\/4\/935-957\/6505"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,4,1]]},"references-count":3,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2001,4,1]]}},"alternative-id":["10.1162\/089976601300014411"],"URL":"https:\/\/doi.org\/10.1162\/089976601300014411","relation":{},"ISSN":["0899-7667","1530-888X"],"issn-type":[{"value":"0899-7667","type":"print"},{"value":"1530-888X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2001,4,1]]}}}