{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,27]],"date-time":"2025-10-27T15:55:44Z","timestamp":1761580544478},"publisher-location":"Berlin, Heidelberg","reference-count":13,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540440741"},{"type":"electronic","value":"9783540460848"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2002]]},"DOI":"10.1007\/3-540-46084-5_46","type":"book-chapter","created":{"date-parts":[[2007,10,19]],"date-time":"2007-10-19T08:20:51Z","timestamp":1192782051000},"page":"277-283","source":"Crossref","is-referenced-by-count":5,"title":["Associative Arithmetic with Boltzmann Machines: The Role of Number Representations"],"prefix":"10.1007","author":[{"given":"Ivilin","family":"Stoianov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marco","family":"Zorzi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Suzanna","family":"Becker","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Carlo","family":"Umilta","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2002,8,21]]},"reference":[{"key":"46_CR1","first-page":"355","volume":"21","author":"S. Dehaene","year":"1998","unstructured":"Dehaene, S., L. Dehaene-Lambertz, & L. Cohen (1998). Abstract representations of numbers in the animal and human brain. TINS, 21, 355\u2013361.","journal-title":"TINS"},{"key":"46_CR2","first-page":"83","volume":"1","author":"S. Dehaene","year":"1995","unstructured":"Dehaene, S., & L. Cohen (1995). Toward an Anatomical and Functional Model of Number Processing. Mathematical Cognition, 1, 83\u2013120.","journal-title":"Mathematical Cognition"},{"key":"46_CR3","doi-asserted-by":"publisher","first-page":"329","DOI":"10.1037\/h0032950","volume":"79","author":"G. J. Groen","year":"1972","unstructured":"Groen, G. J., & J.M. Parkman (1972). A chronometric analysis of simple addition. Psychological Review, 79, 329\u2013343.","journal-title":"Psychological Review"},{"key":"46_CR4","doi-asserted-by":"publisher","first-page":"1005","DOI":"10.1080\/02724980143000064","volume":"54A","author":"B. Butterworth","year":"2001","unstructured":"Butterworth, B., M. Zorzi, L. Girelli, & A.R. Jonckheere (2001). Storage and retrieval of addition facts: The role of number comparison. Quart.J.Exp.Psych., 54A, 1005\u20131029.","journal-title":"Quart.J.Exp.Psych."},{"key":"46_CR5","unstructured":"Viscuso, S., J. Anderson & K. Spoehr (1989). Representing simple arithmetic in neural networks. In (G. Tiberghien, ed.), Adv. in Cog.Sci. Vol.2: Theory and Applications, 144\u2013164"},{"key":"46_CR6","unstructured":"McCloskey & Lindemann (1992). MATHNET: preliminary results from a distributed model of arithmetic fact retrieval. In (Cambpell, ed.) The Nature and Origin of Math.Skills, 365\u2013409"},{"key":"46_CR7","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1016\/S0364-0213(85)80012-4","volume":"9","author":"D. Ackley","year":"1985","unstructured":"D. Ackley, G. Hinton & T. Sejnowski (1985). A Learning Algorithm for Boltzmann Machines. Cog. Sci., 9, 147\u2013169","journal-title":"Cog. Sci."},{"key":"46_CR8","unstructured":"Welling, M. & G. Hinton (2001). A New Learning Algorithm for Mean Field Boltzmann Machines. GCNUTR2001-002"},{"key":"46_CR9","first-page":"995","volume":"1","author":"C. Peterson","year":"1987","unstructured":"Peterson, C. & Anderson, J. (1987). A mean field theory learning algorithm for Neural Networks. Comp. Syst., 1, 995\u20131019","journal-title":"Comp. Syst."},{"key":"46_CR10","unstructured":"Hinton, G. (2000). Training Products of Experts by Minimizing Contrastive Divergence. GCNU TR 2000-004."},{"key":"46_CR11","unstructured":"Zorzi, M. & B. Butterworth (1999). A computational model of number comparison. In (Hahn & Stoness, eds.), Proc. 21\n                           st Ann. Meeting of the Cog. Sc. Soc., 778\u2013783."},{"key":"46_CR12","first-page":"59","volume":"4","author":"Gallistel","year":"2000","unstructured":"Gallistel & Gelman (2000). Non-verbal numerical cognition:from reals to int. TICS, 4, 59\u201365","journal-title":"TICS"},{"key":"46_CR13","doi-asserted-by":"publisher","first-page":"75","DOI":"10.1016\/0010-0277(92)90051-I","volume":"44","author":"M. Ashcraft","year":"1992","unstructured":"Ashcraft, M. (1992). Cognitive arithmetic: a review of data and theory. Cognition, 44, 75\u2013106.","journal-title":"Cognition"}],"container-title":["Lecture Notes in Computer Science","Artificial Neural Networks \u2014 ICANN 2002"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-46084-5_46","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,2,24]],"date-time":"2019-02-24T04:27:32Z","timestamp":1550982452000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-46084-5_46"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002]]},"ISBN":["9783540440741","9783540460848"],"references-count":13,"URL":"https:\/\/doi.org\/10.1007\/3-540-46084-5_46","relation":{},"ISSN":["0302-9743"],"issn-type":[{"type":"print","value":"0302-9743"}],"subject":[],"published":{"date-parts":[[2002]]}}}