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Intro
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Neural network verification
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Key insights and approach
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Optimization over a trained neural network
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Fitting unknown functions to make predictions
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Application: Deep reinforcement learning
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Application: Designing DNA for protein binding
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Neural networks in one slide
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Most important theoretical result
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MIP formulations for a single ReLU neuron
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MIP formulation strength
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Formulations for convex PWL functions
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Network 1: Small network standard training
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Propagation algorithms
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Computational results
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Extensions: Binarized and quantized networks
Description:
Explore neural network verification as a piecewise linear optimization problem in this 26-minute conference talk by Joseph Huchette from Rice University. Delve into the challenges of ensuring robustness against imperceptible attacks in deep learning models, particularly in critical applications. Learn about framing verification tasks using linear programming (LP) and mixed-integer programming (MIP) techniques. Discover a framework for creating strong LP and MIP formulations for neurons with convex piecewise linear activations, and its application to ReLU networks. Examine the verification of binarized neural networks and the development of cutting planes to enhance MIP solve time and reduce search tree size. Gain insights into key concepts such as optimization over trained neural networks, deep reinforcement learning applications, and important theoretical results in the field. This talk, part of the Deep Learning and Combinatorial Optimization 2021 series at the Institute for Pure & Applied Mathematics (IPAM), offers a comprehensive overview of current research in neural network verification and its intersection with optimization techniques. Read more

Neural Network Verification as Piecewise Linear Optimization

Institute for Pure & Applied Mathematics (IPAM)
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