Statistical mechanics of sparse generalization and graphical model selection

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2009, Issue 10, 2009, Pages

  Lage Castellanos, Alejandro ^a,b   Pagnani, Andrea ^b   Weigt, Martin ^b  

^a UNIVERSITY OF HAVANA   (Cuba)

^b ISI FOUNDATION   (Italy)

Author keywords

Cavity and replica method; Disordered systems (theory); Neuronal networks (theory)

Indexed keywords

EID: 71049142169     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2009/10/P10009     Document Type: Article

References (30)

1. Guyon I and Elisseeff A 2003 J. Mach. Learning Res. 3 1157
2. Guyon I, Gunn S, Nikravesh M and Zadeh L 2006 Feature Extraction: Foundations and Applications (Berlin: Springer)
3. Tibshirani R 1994 J. R. Stat. Soc. B 58 267
4. Ravikumar P, Wainwright M and Lafferty J 2006 Advances in Neural Information Processing Systems 19: Proc. 20th Annual Conf. (NIPS 2006) (Cambridge, MA: MIT Press) pp 1465-72
5. Banerjee O, ElGhaou L, d'Aspremont A and Natsoulis G 2006 ACM International Conference Proceeding Series vol 148 pp 12-8
6. Lee S-I, Ganapathi V and Koller D 2007 Advances in Neural Information Processing Systems (NIPS 2006)
7. Schmidt M, Niculescu-Mizil A and Murphy K 2007 Proc. 22nd AAAI Conf. on Artificial Intelligence (AAI)
8. Meinshausen N and Bühlmann P 2006 Ann. Stat. 34 1436
9. Bishop CM 1996 Neural Networks for Pattern Recognition (Oxford: Oxford University Press)
10. LeCun Y, Denker JS, Solla S, Howard RE and Jackel LD 1990 Advances in Neural Information Processing Systems 2 (NIPS*89) ed D Touretzky (Denver, CO: Morgan Kaufman)
11. Hassibi B and Stork DG 1993 Advances in Neural Information Processing Systems 5 ed D S Lippman, JE Moody and D S Touretzky (Denver, CO: Morgan Kaufmann) pp 164-171
12. Bouten M, Engel A, Komoda A and Serneels R 1990 J. Phys. A: Math. Gen. 23 4643
13. Garces R, Kuhlmann P and Eissfeller H 1992 J. Phys. A: Math. Gen. 25 L1335
14. Kuhlmann P, Garces R and Eissfeller H 1992 J. Phys. A: Math. Gen. 25 L593
15. Wong KYM and Bouten M 1991 Europhys. Lett. 16 525
16. Komoda A, Serneels R, Wong KYM and Bouten M 1991 J. Phys. A: Math. Gen. 24 L743
17. Kuhlmann P and Muller KR 1994 J. Phys. A: Math. Gen. 27 3759
18. Malzahn D 2000 Phys. Rev. E 61 6261
19. Braunstein A, Pagnani P, Weigt M and Zecchina R 2008 J. Phys.: Conf. Ser. 95 012016
20. Braunstein A, Pagnani A, Weigt M and Zecchina R 2008 J. Stat. Mech. P12001
21. Pagnani A, Tria F and Weigt M 2009 J. Stat. Mech. P05001
22. Uda S and Kabashima Y 2005 J. Phys. Soc. Japan 74 2233
23. Gardner E 1987 Europhys. Lett. 4 481
24. Gardner E 1988 J. Phys. A: Math. Gen. 21 257
25. Györgyi G 1990 Phys. Rev. Lett. 64 2957
26. Seung HS, Sompolinsky H and Tishby N 1992 Phys. Rev. A 45 6056
27. Engel A and Van Den Broeck C P 2001 Statistical Mechanics of Learning (New York: Cambridge University Press)
28. Mézard M, Parisi G and Virasoro M 1987 Spin Glass Theory and Beyond (Singapore: World Scientific)
29. Kabashima Y 2008 J. Phys.: Conf. Ser. 95 012001
30. Kabashima Y, Wadayama T and Tanaka T 2009 arXiv:0907.0914