{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T12:02:21Z","timestamp":1774872141281,"version":"3.50.1"},"publisher-location":"Cham","reference-count":15,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783030202569","type":"print"},{"value":"9783030202576","type":"electronic"}],"license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019]]},"DOI":"10.1007\/978-3-030-20257-6_33","type":"book-chapter","created":{"date-parts":[[2019,5,14]],"date-time":"2019-05-14T02:39:49Z","timestamp":1557801589000},"page":"391-398","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Global Minimum Depth in Edwards-Anderson Model"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8483-072X","authenticated-orcid":false,"given":"Iakov","family":"Karandashev","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0901-6370","authenticated-orcid":false,"given":"Boris","family":"Kryzhanovsky","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,5,15]]},"reference":[{"key":"33_CR1","doi-asserted-by":"publisher","first-page":"5135","DOI":"10.1103\/PhysRevE.60.5135","volume":"60","author":"A Hartmann","year":"1999","unstructured":"Hartmann, A.: Calculation of ground states of four-dimensional \u00b1J Ising spin glasses. Phys. Rev. B 60, 5135\u20135138 (1999)","journal-title":"Phys. Rev. B"},{"key":"33_CR2","series-title":"Lecture Notes in Computer Science (Lecture Notes in Artificial Intelligence)","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1007\/978-3-540-69731-2_10","volume-title":"Artificial Intelligence and Soft Computing \u2013 ICAISC 2008","author":"B Kryzhanovsky","year":"2008","unstructured":"Kryzhanovsky, B., Kryzhanovsky, V.: Binary optimization: on the probability of a local minimum detection in random search. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2008. LNCS (LNAI), vol. 5097, pp. 89\u2013100. Springer, Heidelberg (2008). \n                    https:\/\/doi.org\/10.1007\/978-3-540-69731-2_10"},{"key":"33_CR3","doi-asserted-by":"publisher","first-page":"056704","DOI":"10.1103\/PhysRevE.64.056704","volume":"64","author":"J Houdayer","year":"2001","unstructured":"Houdayer, J., Martin, O.C.: Hierarchical approach for computing spin glass ground states. Phys. Rev. E 64, 056704 (2001)","journal-title":"Phys. Rev. E"},{"issue":"1","key":"33_CR4","first-page":"80","volume":"15","author":"LB Litinskii","year":"2005","unstructured":"Litinskii, L.B., Magomedov, B.M.: Global minimization of a quadratic functional: Neural networks approach. Pattern Recog. Image Anal. 15(1), 80\u201382 (2005)","journal-title":"Pattern Recog. Image Anal."},{"issue":"3","key":"33_CR5","doi-asserted-by":"publisher","first-page":"927","DOI":"10.1134\/S1064562409060350","volume":"80","author":"YM Karandashev","year":"2009","unstructured":"Karandashev, Y.M., Kryzhanovsky, B.V.: Transformation of energy landscape in the problem of binary minimization. Dokl. Math. 80(3), 927\u2013931 (2009)","journal-title":"Dokl. Math."},{"key":"33_CR6","doi-asserted-by":"crossref","unstructured":"Liers, F., Junger, M., Reinelt, G., Rinaldi, G.: Computing exact ground states of hard Ising spin glass problems by branch-and-cut. In: New Optimization Algorithms in Physics, pp. 47\u201368. Wiley (2004)","DOI":"10.1002\/3527603794.ch4"},{"key":"33_CR7","doi-asserted-by":"publisher","first-page":"2554","DOI":"10.1073\/pnas.79.8.2554","volume":"79","author":"JJ Hopfield","year":"1982","unstructured":"Hopfield, J.J.: Neural networks and physical systems with emergent collective computational abilities. Proc. Nat. Acad. Sci. USA 79, 2554\u20132558 (1982)","journal-title":"Proc. Nat. Acad. Sci. USA"},{"key":"33_CR8","doi-asserted-by":"publisher","first-page":"593","DOI":"10.1080\/14786437708235992","volume":"35","author":"DJ Thouless","year":"1977","unstructured":"Thouless, D.J., Anderson, P.W., Palmer, R.G.: Solution of solvable model of a spin glass. Philos. Mag. 35, 593\u2013601 (1977)","journal-title":"Philos. Mag."},{"key":"33_CR9","doi-asserted-by":"publisher","first-page":"5008","DOI":"10.1103\/PhysRevB.14.5008","volume":"14","author":"MW Klein","year":"1976","unstructured":"Klein, M.W.: Comparison of the self-consistent mean-random-field approximation with the n\u2009\u2192\u20090 expansion of Sherrington and Kirkpatrick for spin glasses and with experiment. Phys. Rev. B 14, 5008\u20135017 (1976)","journal-title":"Phys. Rev. B"},{"issue":"12","key":"33_CR10","doi-asserted-by":"publisher","first-page":"2769","DOI":"10.1088\/0305-4608\/10\/12\/017","volume":"10","author":"F Tanaka","year":"1980","unstructured":"Tanaka, F., Edwards, S.F.: Analytic theory of the ground state properties of a spin glass. I. Ising spin glass. J. Phys. F: Metal Phys. 10, 2769\u20132778 (1980)","journal-title":"Journal of Physics F: Metal Physics"},{"key":"33_CR11","doi-asserted-by":"publisher","first-page":"1792","DOI":"10.1103\/PhysRevLett.35.1792","volume":"35","author":"D Sherrington","year":"1975","unstructured":"Sherrington, D., Kirkpatrick, S.: Solvable model of a spin-glass. Phys. Rev. Lett. 35, 1792\u20131796 (1975)","journal-title":"Phys. Rev. Lett."},{"key":"33_CR12","doi-asserted-by":"publisher","first-page":"4384","DOI":"10.1103\/PhysRevB.17.4384","volume":"17","author":"S Kirkpatrick","year":"1978","unstructured":"Kirkpatrick, S., Sherrington, D.: Infinite-ranged models of spin-glasses. Phys. Rev. B 17, 4384\u20134403 (1978)","journal-title":"Phys. Rev. B"},{"issue":"9","key":"33_CR13","doi-asserted-by":"publisher","first-page":"6036","DOI":"10.1103\/PhysRevA.44.6036","volume":"44","author":"BV Kryzhanovsky","year":"1991","unstructured":"Kryzhanovsky, B.V., Karapetyan, A.R., Glushko, B.A.: Theory of energy exchange and conversion via four-wave mixing in a nondissipative chi (3) material. Phys. Rev. A 44(9), 6036\u20136042 (1991)","journal-title":"Phys. Rev. A"},{"key":"33_CR14","unstructured":"Schraudolph, N., Kamenetsky, D.: Efficient exact inference in planar Ising models. In: Advances in Neural Information Processing Systems 21 (NIPS 2008) (2008)"},{"issue":"1","key":"33_CR15","doi-asserted-by":"publisher","first-page":"1","DOI":"10.3103\/S1060992X16010057","volume":"25","author":"B Kryzhanovsky","year":"2016","unstructured":"Kryzhanovsky, B., Malsagov, M.: The spectra of local minima in spin-glass models. Opt. Memory Neural Netw. (Inf. Opt.) 25(1), 1\u201315 (2016)","journal-title":"Opt. Memory Neural Netw. (Inf. Opt.)"}],"container-title":["Communications in Computer and Information Science","Engineering Applications of Neural Networks"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-20257-6_33","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,28]],"date-time":"2019-10-28T10:52:53Z","timestamp":1572259973000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-20257-6_33"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019]]},"ISBN":["9783030202569","9783030202576"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-20257-6_33","relation":{},"ISSN":["1865-0929","1865-0937"],"issn-type":[{"value":"1865-0929","type":"print"},{"value":"1865-0937","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019]]},"assertion":[{"value":"15 May 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"EANN","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Engineering Applications of Neural Networks","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Xersonisos","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Greece","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2019","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"24 May 2019","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"26 May 2019","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"20","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"eann2019","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/www.eann2019.eu\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}