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CodNN - Robust Neural Networks From Coded Classification

Raviv, Netanel and Jain, Siddharth and Upadhyaya, Pulakesh and Bruck, Jehoshua and Jiang, Anxiao (Andrew) (2020) CodNN - Robust Neural Networks From Coded Classification. Parallel and Distributed Systems Group Technical Reports, etr147. California Institute of Technology , Pasadena, CA. (Unpublished)

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Deep Neural Networks (DNNs) are a revolutionary force in the ongoing information revolution, and yet their intrinsic properties remain a mystery. In particular, it is widely known that DNNs are highly sensitive to noise, whether adversarial or random. This poses a fundamental challenge for hardware implementations of DNNs, and for their deployment in critical applications such as autonomous driving. In this paper we construct robust DNNs via error correcting codes. By our approach, either the data or internal layers of the DNN are coded with error correcting codes, and successful computation under noise is guaranteed. Since DNNs can be seen as a layered concatenation of classification tasks, our research begins with the core task of classifying noisy coded inputs, and progresses towards robust DNNs. We focus on binary data and linear codes. Our main result is that the prevalent parity code can guarantee robustness for a large family of DNNs, which includes the recently popularized binarized neural networks. Further, we show that the coded classification problem has a deep connection to Fourier analysis of Boolean functions. In contrast to existing solutions in the literature, our results do not rely on altering the training process of the DNN, and provide mathematically rigorous guarantees rather than experimental evidence.

Item Type:Report or Paper (Technical Report)
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URLURL TypeDescription ItemConference Paper
Raviv, Netanel0000-0002-1686-1994
Jain, Siddharth0000-0002-9164-6119
Upadhyaya, Pulakesh0000-0003-1054-1380
Bruck, Jehoshua0000-0001-8474-0812
Group:Parallel and Distributed Systems Group
Series Name:Parallel and Distributed Systems Group Technical Reports
Issue or Number:etr147
Record Number:CaltechAUTHORS:20200427-091132325
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:102790
Deposited By: George Porter
Deposited On:27 Apr 2020 16:31
Last Modified:24 Jun 2021 21:30

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