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18851

On the Cryptographic Hardness of Learning One-Hidden Layer Neural Networks

APA

(2021). On the Cryptographic Hardness of Learning One-Hidden Layer Neural Networks. The Simons Institute for the Theory of Computing. https://simons.berkeley.edu/talks/cryptographic-hardness-learning-one-hidden-layer-neural-networks

Ilias Zadik (MIT)
Talk number18851
Source RepositorySimons Institute

Abstract

In this short talk, I will share some recent progress on the hardness of learning shallow RELU neural networks (Relu-NN) and polynomially small adversarial noise. We will present a result that efficiently learning an 1-hidden layer Relu-NN under Gaussian input and adversarial noise is "cryptographically hard", in the sense that it implies a polynomial-time quantum algorithm for the worst-case shortest vector problem.