期刊
PROBABILITY THEORY AND RELATED FIELDS
卷 148, 期 3-4, 页码 567-600出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s00440-009-0240-8
关键词
Spin glass; Sherrington-Kirkpatrick model; TAP equations; High temperature solution; Stein's method
资金
- NSF [DMS-0707054]
- Sloan Research Fellowship
We introduce some applications of Stein's method in the high temperature analysis of spin glasses. Stein's method allows the direct analysis of the Gibbs measure without having to eate a cavity. Another advantage is that it gives limit theorems with total variation error bounds, although the bounds can be suboptimal. A surprising byproduct of our analysis is a relatively transparent explanation of the Thouless-Anderson-Palmer system of equations. Along the way, we develop Stein's method for mixtures of two Gaussian densities.
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