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WhenDoFlatMinimaOptimizers Work?

Neural Information Processing Systems

Theoretical and empirical studies [21,77,9,55,49,5,12]postulate that such flatter regions generalize better than sharper minima, e.g., due to the flat minimizer's robustness against loss function shifts between trainandtestdata,asillustrated inFig.1.








Intra Order-Preserving Functions for Calibration of Multi-Class Neural Networks

Neural Information Processing Systems

We call this family of functions intra order-preserving functions. We propose a new neural network architecture that represents a class of intra order-preserving functions by combining common neural network components.


67496dfa96afddab795530cc7c69b57a-Supplemental-Conference.pdf

Neural Information Processing Systems

Theoptimalbaseline, however, israrelyusedinpractice (Sutton & Barto (2018); foran exception, see (Peters & Schaal, 2008)). Equation (1) thentakesthefollowingform: r E R(x)= E (R(x) B)r log (x).