mlsanityData to 7 Oct 2026

Generalized Huber Loss for Robust Learning and its Efficient Minimization for a Robust Statistics

arXiv 2108.12627 ↗First posted 28 Aug 2021stat.ML cs.LGcited by 32

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Abstract (arXiv)

We propose a generalized formulation of the Huber loss. We show that with a suitable function of choice, specifically the log-exp transform; we can achieve a loss function which combines the desirable properties of both the absolute and the quadratic loss. We provide an algorithm to find the minimizer of such loss functions and show that finding a centralizing metric is not that much harder than the traditional mean and median.

Key facts. Cited by 32 papers in the map (data through 7 Oct 2026). Builds on 5 of its 29 references that are in the map. First posted on arXiv 28 Aug 2021.

Builds on

5 of 29 references.

References · 5

  1. 2017A General and Adaptive Robust Loss Functioncited by 236
  2. 2021Dive into Deep Learningcited by 111
  3. 2018Sequential Outlier Detection based on Incremental Decision Treescited by 21
  4. 2021Optimally Efficient Sequential Calibration of Binary Classifiers to Minimize Classification Errorcited by 17
  5. 2021Cumulative Regret Analysis of the Piyavskii--Shubert Algorithm and Its Variants for Global Optimizationcited by 9

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 3; 2022: 10; 2023: 4; 2024: 4; 2025: 6; 2026: 5.

32 papers.

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  3. 2022Nonconvex Extension of Generalized Huber Loss for Robust Learning and Pseudo-Mode Statisticscited by 8
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  11. 2022A Linearithmic Time Locally Optimal Algorithm for the Multiway Number Partition Optimizationcited by 2
  12. 2022Blind Source Separation for Mixture of Sinusoids with Near-Linear Computational Complexitycited by 1
20 more
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  8. 20221D to nD: A Meta Algorithm for Multivariate Global Optimization via Univariate Optimizerscited by 0
  9. 2022Fast Disparity Estimation from a Single Compressed Light Field Measurementcited by 0
  10. 2023Formulation of Weighted Average Smoothing as a Projection of the Origin onto a Convex Polytopecited by 0
  11. 2023A Note On Nonlinear Regression Under L2 Losscited by 0
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  14. 2024Residual-based Adaptive Huber Loss (RAHL) -- Design of an improved Huber loss for CQI prediction in 5G networkscited by 0
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