Fitting Generalized Multivariate Huber Loss Functions

Eli Peker, Ami Wiesel

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


In this letter, we consider a class of generalized multivariate Huber (GMH) loss functions. Our goal is parameter estimation in linear models contaminated by non-Gaussian noise. We assume access to a secondary dataset of independent noise realizations, and we use these data to fit a convex GMH function that will then lead to efficient parameter estimation. Our framework includes the classical weighted least squares and Huber's function as special cases. We demonstrate its advantages in heavy-tailed noise distributions.

Original languageAmerican English
Pages (from-to)1647-1651
Number of pages5
JournalIEEE Signal Processing Letters
Issue number11
StatePublished - Nov 2016

Bibliographical note

Publisher Copyright:
© 2016 IEEE.


  • Maximum likelihood estimation
  • multidimensional signal processing
  • parameter estimation
  • signal detection


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