Title
Training verified learners with learned verifiers.
Abstract
This paper proposes a new algorithmic framework, predictor-verifier training, to train neural networks that are verifiable, i.e., networks that provably satisfy some desired input-output properties. The key idea is to simultaneously train two networks: a predictor network that performs the task at hand,e.g., predicting labels given inputs, and a verifier network that computes a bound on how well the predictor satisfies the properties being verified. Both networks can be trained simultaneously to optimize a weighted combination of the standard data-fitting loss and a term that bounds the maximum violation of the property. Experiments show that not only is the predictor-verifier architecture able to train networks to achieve state of the art verified robustness to adversarial examples with much shorter training times (outperforming previous algorithms on small datasets like MNIST and SVHN), but it can also be scaled to produce the first known (to the best of our knowledge) verifiably robust networks for CIFAR-10.
Year
Venue
Field
2018
arXiv: Learning
Architecture,MNIST database,Robustness (computer science),Verifiable secret sharing,Artificial intelligence,Artificial neural network,Machine learning,Mathematics
DocType
Volume
Citations 
Journal
abs/1805.10265
15
PageRank 
References 
Authors
0.50
17
7
Name
Order
Citations
PageRank
Krishnamurthy Dvijotham118726.90
Sven Gowal210014.85
Robert Stanforth3737.08
Relja Arandjelovic4109641.22
Brendan O'Donoghue517210.19
Jonathan Uesato6856.60
Pushmeet Kohli77398332.84