We analyze the limits inherent to the inverse reconstruction of a pairwise Ising spin glass based on susceptibility propagation. We establish the conditions under which the susceptibility propagation algorithm is able to reconstruct the characteristics of the network given first- and second-order local observables, evaluate eventual errors due to various types of noise in the originally observed data, and discuss the scaling of the problem with the number of degrees of freedom.
Intrinsic limitations of inverse inference in the pairwise Ising spin glass / Marinari, Vincenzo; VAN KERREBROECK, VALERY MARIE-LOUISE MARIA. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - P02008:(2010), pp. 1-13. [10.1088/1742-5468/2010/02/P02008]
Intrinsic limitations of inverse inference in the pairwise Ising spin glass
MARINARI, Vincenzo;VAN KERREBROECK, VALERY MARIE-LOUISE MARIA
2010
Abstract
We analyze the limits inherent to the inverse reconstruction of a pairwise Ising spin glass based on susceptibility propagation. We establish the conditions under which the susceptibility propagation algorithm is able to reconstruct the characteristics of the network given first- and second-order local observables, evaluate eventual errors due to various types of noise in the originally observed data, and discuss the scaling of the problem with the number of degrees of freedom.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
