publication . Preprint . 2016

Robust Learning of Fixed-Structure Bayesian Networks

Cheng, Yu; Diakonikolas, Ilias; Kane, Daniel; Stewart, Alistair;
Open Access English
  • Published: 23 Jun 2016
We investigate the problem of learning Bayesian networks in a robust model where an $\epsilon$-fraction of the samples are adversarially corrupted. In this work, we study the fully observable discrete case where the structure of the network is given. Even in this basic setting, previous learning algorithms either run in exponential time or lose dimension-dependent factors in their error guarantees. We provide the first computationally efficient robust learning algorithm for this problem with dimension-independent error guarantees. Our algorithm has near-optimal sample complexity, runs in polynomial time, and achieves error that scales nearly-linearly with the fr...
free text keywords: Computer Science - Data Structures and Algorithms, Computer Science - Artificial Intelligence, Computer Science - Machine Learning, Mathematics - Statistics Theory
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