A Generalized Linear Model With “Gaussian” Regressor Variables

By D. Brillinger. 2012

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Least squares estimation in the monotone single index model (2016, background): “The linear estimator goes back to Brillinger (1983), who also considered a single index model (1.”
Exponential convergence rates for Batch Normalization: The power of length-direction decoupling in non-convex optimization (2018, background): “In the context of convex optimization of generalized linear models, this fact was first pointed out in (Brillinger, 2012).”
Estimating Smooth GLM in Non-interactive Local Differential Privacy Model with Public Unlabeled Data (2019, methodology): “Before presenting our ideas, we ﬁrst consider the following lemma for x ∼ N (0 , Σ), which is from Stein’s lemma (Brillinger, 2012).”
Score estimation in the monotone single‐index model (2017, unknown): “This result, which goes back to the work of Brillinger (1983), can be extended to any elliptically symmetric distribution, a fact that has been exploited by Duan and Li (1991) in inverse regression.”
Independent screening for single‐index hazard rate models with ultrahigh dimensional features (2011, background): “Fan et al. (2011) recently discussed SIS where features enter in a non-parametric smooth manner, and an extension of their framework to FAST SIS appears both theoretically and computationally feasible.”