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Implicit Bias in Noisy-SGD: With Applications to Differentially Private Training
We first show that the phenomenon extends to Noisy-SGD (DP-SGD without clipping), suggesting that the stochasticity (and not the clipping) is the cause of this implicit bias, even with additional isotropic Gaussian noise.
Monotone comparative statics for submodular functions, with an application to aggregated deferred acceptance
We propose monotone comparative statics results for maximizers of submodular functions, as opposed to maximizers of supermodular functions as in the classical theory put forth by Veinott, Topkis, Milgrom, and Shannon among others.
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