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Ising model selection using โ„“ <sub>1</sub>-regularized linear regression: a statistical mechanics analysis*

Ising model selection using โ„“ <sub>1</sub>-regularized linear regression: a statistical mechanics analysis*

Abstract We theoretically analyze the typical learning performance of โ„“ 1 -regularized linear regression ( โ„“ 1 -LinR) for Ising model selection using the replica method from statistical mechanics. For typical random regular graphs in the paramagnetic phase, an accurate estimate of the typical sample complexity of โ„“ 1 -LinR โ€ฆ