Papers › Learning with risks based on M-location

Learning with risks based on M-location

4 Dec 2020arXiv:2012.02424archive 2025-07-28

Matthew J. Holland

In this work, we study a new class of risks defined in terms of the location and deviation of the loss distribution, generalizing far beyond classical mean-variance risk functions. The class is easily implemented as a wrapper around any smooth loss, it admits finite-sample stationarity guarantees for stochastic gradient methods, it is straightforward to interpret and adjust, with close links to M-estimators of the loss location, and has a salient effect on the test loss distribution.

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