Kiwata Hirohito
Division of Natural Science, Osaka Kyoiku University, Kashiwara, Osaka 582-8582, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Jun;89(6):062135. doi: 10.1103/PhysRevE.89.062135. Epub 2014 Jun 26.
We consider a method for the accurate estimation of quenched random fields in the inverse Ising problem. Approximations such as the mean-field or Bethe methods are applied to estimate quenched random coupling parameters and external fields. A diagonal matching method is introduced to ensure consistency of the diagonal part of the susceptibility, and the method yields an accurate estimation of the external fields. We introduce the diagonal matching method into the mean-field, Thouless-Anderson-Palmer, and Bethe approximations, and we investigate the effect of the diagonal matching method on the accuracy of estimation of the external fields.
我们考虑一种用于在逆伊辛问题中精确估计淬火随机场的方法。诸如平均场或贝叶斯方法之类的近似方法被用于估计淬火随机耦合参数和外场。引入了一种对角匹配方法以确保磁化率对角部分的一致性，并且该方法对外场产生了精确估计。我们将对角匹配方法引入到平均场、 Thouless-Anderson-Palmer 和贝叶斯近似中，并研究对角匹配方法对估计外场准确性的影响。
