Robust inversion of seismic data using the Huber norm

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Which data residual norm for robust elastic frequency-domain full waveform inversion? (2010, methodology): “This alue was shown practically to be less sensitive to outliers in the data han the one indicated by Guitton and Symes 2003 , based on ax dobsi .”
Quantile regression neural networks: Implementation in R and application to precipitation downscaling (2011, background): “The QRNN error function is, however, not differentiable everywhere, which means that standard gradient-based ANN optimization methods may converge prematurely, thus leading to sub-optimal model parameters (Guitton and Symes, 2003).”
Robust elastic frequency‐domain full‐waveform inversion using the L1 norm (2009, unknown): “Alternatives like the Huber criterion [Huber, 1973; Guitton and Symes, 2003; Ha et al., 2009], the sech criterion [Crase et al., 1990; Monteiller et al., 2005] and the hybrid L1/L2 criterion [Bube and Langan, 1997] can also be considered.”