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Concentration of Measure
Understanding Intrinsic Robustness using Label Uncertainty
Built upon on a novel definition of label uncertainty, we develop an empirical method to estimate a more realistic intirnsic robustness limit for classification tasks
Xiao Zhang
,
David Evans
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ArXiv
OpenReview
Incorporating Label Uncertainty in Intrinsic Robustness Measures
Advocate to understand the concentration of measure phenomenon regarding inputs regions with high label uncertainty
Xiao Zhang
,
David Evans
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Poster
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Improved Estimation of Concentration Under Lp-Norm Distance Metric Using Half Spaces
We show that concentration of measure does not prohibit the existence of adversarially robust classifiers using a novel method of empirical concentration estimation.
Jack Prescott
,
Xiao Zhang
,
David Evans
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Code
ArXiv
OpenReview
Post
Empirically Measuring Concentration: Fundamental Limits to Intrinsic Robustness
We develop a method to measure the concentration of image benchmarks using empirical samples and show that concentration of measure does not prohibit the existence of adversarially robust classifiers.
Saeed Mahloujifar
,
Xiao Zhang
,
Mohammad Mahmoody
,
David Evans
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