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Adversarial Regression with Multiple Learners
Liang Tong · Sixie Yu · Scott Alfeld · Yevgeniy Vorobeychik

Thu Jul 12 09:15 AM -- 12:00 PM (PDT) @ Hall B #120

Despite the considerable success enjoyed by machine learning techniques in practice, numerous studies demonstrated that many approaches are vulnerable to attacks. An important class of such attacks involves adversaries changing features at test time to cause incorrect predictions. Previous investigations of this problem pit a single learner against an adversary. However, in many situations an adversary’s decision is aimed at a collection of learners, rather than specifically targeted at each independently. We study the problem of adversarial linear regression with multiple learners. We approximate the resulting game by exhibiting an upper bound on learner loss functions, and show that the resulting game has a unique symmetric equilibrium. We present an algorithm for computing this equilibrium, and show through extensive experiments that equilibrium models are significantly more robust than conventional regularized linear regression.

Author Information

Liang Tong (Vanderbilt University)
Sixie Yu (Vanderbilt University)
Scott Alfeld (Amherst College)
Yevgeniy Vorobeychik (Vanderbilt University)

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