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We study the differentially private (DP) empirical risk minimization (ERM) problem under the semi-sensitive DP setting where only some features are sensitive. This generalizes the Label DP setting where only the label is sensitive. We give improved upper and lower bounds on the excess risk for DP-ERM. In particular, we show that the error only scales polylogarithmically in terms of the sensitive domain size, improving upon previous results that scale polynomially in the sensitive domain size (more » « lessFree, publicly-accessible full text available August 29, 2026
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Hu, Yuzheng; Wu, Fan; Xian, Ruicheng; Liu, Yuhang; Zakynthinou, Lydia; Kamath, Pritish; Zhang, Chiyuan; Forsyth, David (, openreview.net)Free, publicly-accessible full text available July 19, 2026
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Ghazi, Badih; Kamath, Pritish; Kumar, Ravi; Manurangsi, Pasin; Meka, Raghu; Zhang, Chiyuan (, Journal of machine learning research)
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Ghazi, Badih; Kamath, Pritish; Kumar, Ravi; Manurangsi, Pasin; Meka, Raghu; Zhang, Chiyuan (, Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, NeurIPS 2023)
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Ghazi, Badih; Kamath, Pritish; Kumar, Ravi; Manurangsi, Pasin; Sekhari, Ayush; Zhang, Chiyuan (, Conference on Learning Theory)
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