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Parameter-free HE-friendly Logistic Regression

NeurIPS 2021 · Learning theory and algorithms › Kernels and regression theory · approach: High-dimensional linear regression theory · 9 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
replace LRHE (sigmoid approximation + gradient descent) with ridge regression on teacher logitsOurs · Adultaccuracy (%): 81.913 -> 83.123Helped
replace LRHE with ridge regression on teacher logitsOurs · Diabetesaccuracy (%): 71.429 -> 75.325Helped
replace LRHE with closed-form ridge regression with partial encryptionOurs · Adultcomputation time (sec): 306.061 -> 102.25Helped
add mean matching of teacher logits (ablation)Ours · Diabetes (shifted split)accuracy (%): 29.487 -> 80.769Helped
add mean matching of teacher logits (ablation)Ours · Adult (shifted split)accuracy (%): 63.330 -> 69.471Helped
add mean matching of teacher logits (ablation)Ours · Credit (shifted split)accuracy (%): 20.833 -> 79.167Helped
train step 3 with 8 iterations of encrypted gradient descent instead of closed form (ablation)Ours · Diabetesaccuracy (%): 75.325 -> 76.623Helped
train step 3 with gradient descent instead of closed form (ablation)Ours · Adultcomputation time (sec): 102.25 -> 1488.65Hurt
train step 3 with gradient descent instead of closed form (ablation)Ours · Canceraccuracy (%): 90.580 -> 90.580No clear effect

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