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Inverse problems for structured datasets using parallel TAP equations and restricted Boltzmann machines.
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- معلومة اضافية
- المصدر:
Publisher: Nature Publishing Group Country of Publication: England NLM ID: 101563288 Publication Model: Electronic Cited Medium: Internet ISSN: 2045-2322 (Electronic) Linking ISSN: 20452322 NLM ISO Abbreviation: Sci Rep Subsets: PubMed not MEDLINE; MEDLINE
- بيانات النشر:
Original Publication: London : Nature Publishing Group, copyright 2011-
- نبذة مختصرة :
We propose an efficient algorithm to solve inverse problems in the presence of binary clustered datasets. We consider the paradigmatic Hopfield model in a teacher student scenario, where this situation is found in the retrieval phase. This problem has been widely analyzed through various methods such as mean-field approaches or the pseudo-likelihood optimization. Our approach is based on the estimation of the posterior using the Thouless-Anderson-Palmer (TAP) equations in a parallel updating scheme. Unlike other methods, it allows to retrieve the original patterns of the teacher dataset and thanks to the parallel update it can be applied to large system sizes. We tackle the same problem using a restricted Boltzmann machine (RBM) and discuss analogies and differences between our algorithm and RBM learning.
(© 2021. The Author(s).)
- References:
Proc Natl Acad Sci U S A. 2012 Jul 24;109(30):12254-9. (PMID: 22773816)
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 May;87(5):052111. (PMID: 23767491)
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 May;91(5):052136. (PMID: 26066148)
Phys Rev E. 2018 Feb;97(2-1):022310. (PMID: 29548112)
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Mar;81(3 Pt 2):036104. (PMID: 20365812)
Phys Rev Lett. 2014 Feb 21;112(7):070603. (PMID: 24579583)
Phys Rev Lett. 2011 Nov 25;107(22):220601. (PMID: 22182019)
Sci Adv. 2018 Mar 16;4(3):e1700791. (PMID: 29556527)
Sci Rep. 2022 Nov 11;12(1):19339. (PMID: 36369262)
Phys Rev Lett. 2012 Aug 3;109(5):050602. (PMID: 23006160)
Proc Natl Acad Sci U S A. 2011 Dec 6;108(49):E1293-301. (PMID: 22106262)
Phys Rev E. 2016 Jul;94(1-1):012112. (PMID: 27575082)
Phys Rev Lett. 1985 Sep 30;55(14):1530-1533. (PMID: 10031847)
Phys Rev Lett. 2011 Mar 4;106(9):090601. (PMID: 21405611)
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 May;83(5 Pt 1):051123. (PMID: 21728506)
Phys Rev E. 2019 Jun;99(6-1):062138. (PMID: 31330593)
Phys Rev E. 2017 Feb;95(2-1):022117. (PMID: 28297857)
Phys Rev Lett. 2012 Mar 2;108(9):090201. (PMID: 22463617)
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 May;83(5 Pt 2):056114. (PMID: 21728612)
Neural Comput. 2000 Aug;12(8):1951-68. (PMID: 10953246)
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Feb;87(2):022127. (PMID: 23496479)
Proc Natl Acad Sci U S A. 2009 Aug 18;106(33):14058-62. (PMID: 19666487)
Nature. 2006 Apr 20;440(7087):1007-12. (PMID: 16625187)
Phys Rev Lett. 2011 Jan 28;106(4):048702. (PMID: 21405370)
Neural Netw. 2012 Oct;34:1-9. (PMID: 22784924)
Neural Comput. 2002 Aug;14(8):1771-800. (PMID: 12180402)
Proc Natl Acad Sci U S A. 1982 Apr;79(8):2554-8. (PMID: 6953413)
Phys Rev Lett. 1996 Mar 11;76(11):1964-1967. (PMID: 10060565)
Phys Rev E. 2017 Oct;96(4-1):042156. (PMID: 29347631)
Phys Rev Lett. 2014 Dec 5;113(23):238106. (PMID: 25526165)
Proc Natl Acad Sci U S A. 2014 May 20;111(20):7212-7. (PMID: 24785504)
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Feb;61(2):1839-44. (PMID: 11046469)
- الموضوع:
Date Created: 20211008 Latest Revision: 20240403
- الموضوع:
20240403
- الرقم المعرف:
PMC8497629
- الرقم المعرف:
10.1038/s41598-021-99353-2
- الرقم المعرف:
34620934
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