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The Ising spin glass is a one-parameter exponential family model for binary data with quadratic sufficient statistic. In this paper, we show that given a single realization from this model, the maximum pseudolikelihood estimate (MPLE) of the natural parameter is √ a N -consistent at a point whenever the log-partition function has order a N in a neighborhood of that point. This gives consistency rates of the MPLE for ferromagnetic Ising models on general weighted graphs in all regimes, extendingdoi:10.3150/16-bej886 fatcat:olyawwghfzeknhz352fpd6jude