Polar: A polynomial arithmetic framework for verifying neural-network controlled systems

C Huang, J Fan, X Chen, W Li, Q Zhu - International Symposium on …, 2022 - Springer
We present POLAR (The source code can be found at https://github. com/ChaoHuang2018/
POLAR_Tool. The full version of this paper can be found at https://arxiv …

pynever: A framework for learning and verification of neural networks

D Guidotti, L Pulina, A Tacchella - … , ATVA 2021, Gold Coast, QLD, Australia …, 2021 - Springer
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PRIMA: general and precise neural network certification via scalable convex hull approximations

MN Müller, G Makarchuk, G Singh, M Püschel… - Proceedings of the …, 2022 - dl.acm.org
Formal verification of neural networks is critical for their safe adoption in real-world
applications. However, designing a precise and scalable verifier which can handle different …

[HTML][HTML] An abstraction-based framework for neural network verification

YY Elboher, J Gottschlich, G Katz - … , CAV 2020, Los Angeles, CA, USA …, 2020 - Springer
Deep neural networks are increasingly being used as controllers for safety-critical systems.
Because neural networks are opaque, certifying their correctness is a significant challenge …

Reachnn: Reachability analysis of neural-network controlled systems

C Huang, J Fan, W Li, X Chen, Q Zhu - ACM Transactions on Embedded …, 2019 - dl.acm.org
Applying neural networks as controllers in dynamical systems has shown great promises.
However, it is critical yet challenging to verify the safety of such control systems with neural …

Reachnn*: A tool for reachability analysis of neural-network controlled systems

J Fan, C Huang, X Chen, W Li, Q Zhu - International Symposium on …, 2020 - Springer
We introduce ReachNN*, a tool for reachability analysis of neural-network controlled
systems (NNCSs). The theoretical foundation of ReachNN* is the use of Bernstein …

[HTML][HTML] Sparse polynomial optimisation for neural network verification

M Newton, A Papachristodoulou - Automatica, 2023 - Elsevier
The prevalence of neural networks in applications is expanding at an increasing rate. It is
becoming clear that providing robust guarantees on systems that use neural networks is …

Automatic abstraction refinement in neural network verification using sensitivity analysis

T Ladner, M Althoff - Proceedings of the 26th ACM International …, 2023 - dl.acm.org
The formal verification of neural networks is essential for their application in safety-critical
environments. However, the set-based verification of neural networks using linear …

Piecewise linear neural networks verification: A comparative study

R Bunel, I Turkaslan, PHS Torr, P Kohli, MP Kumar - 2018 - openreview.net
The success of Deep Learning and its potential use in many important safety-critical
applications has motivated research on formal verification of Neural Net-work (NN) models …

Verification of neural-network control systems by integrating Taylor models and zonotopes

C Schilling, M Forets, S Guadalupe - … of the AAAI Conference on Artificial …, 2022 - ojs.aaai.org
We study the verification problem for closed-loop dynamical systems with neural-network
controllers (NNCS). This problem is commonly reduced to computing the set of reachable …