Guy Katz |
Aleksandar Zeljić |
Clark Barrett |
Haoze Wu |
et al. |
Hebrew University |
Stanford University |
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Robustness properties: |
Fixing all ReLUs linear problem
ReLUs cases
Simplex + Case-splitting
Re-implementation of Reluplex algorithm
FCFF and Convolutional DNNs with piece-wise linear activation functions
Network formats: .nnet, .pb (TensorFlow)
Properties: .txt, via Python interface
Simplex - finds a satisfying assignment of linear constraints
SMT - manages splits of piece-wise linear constraints
Bound tightening - propagates bounds through the network
ReLU splits - guesses to simplify the problem
exponential search space
How can we focus the search?
Narrowing input ranges can fix hundreds of ReLUs
Which ranges do we choose? On which inputs?
TIMEOUT:
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SAT:
ALL UNSAT:
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./marabou --dnc --num-workers=4 --online-split=4 --init-to=5s --to-factor=1.5
Benchmark set | Marabou | Reluplex | ReluVal | Planet | |
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ACAS Xu | (135) | ✔ | ✔ | ✔ | ✔ |
TwinStream | (81) | ✔ | ✔ | ||
CollisionAvoidance | (500) | ✔ | ✔ |
Scaling experiment:
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FCFF and Conv. DNNs with p.w. linear activation functions
NN formats: .nnet, .pb (TensorFlow)
Properties: .txt, via Python interface
Network-level reasoning - Symbolic bound tightening
Parallel Divide & Conquer algorithm
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