mlsanityData to 14 Oct 2026

RobustNeuralNetworks.jl: a Package for Machine Learning and Data-Driven Control with Certified Robustness

arXiv 2306.12612 ↗First posted 22 Jun 2023cs.LG cs.SY eess.SYcited by 1

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Abstract (arXiv)

Neural networks are typically sensitive to small input perturbations, leading to unexpected or brittle behaviour. We present RobustNeuralNetworks.jl: a Julia package for neural network models that are constructed to naturally satisfy a set of user-defined robustness metrics. The package is based on the recently proposed Recurrent Equilibrium Network (REN) and Lipschitz-Bounded Deep Network (LBDN) model classes, and is designed to interface directly with Julia's most widely-used machine learning package, Flux.jl. We discuss the theory behind our model parameterization, give an overview of the package, and provide a tutorial demonstrating its use in image classification, reinforcement learning, and nonlinear state-observer design.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Builds on 15 of its 30 references that are in the map. First posted on arXiv 22 Jun 2023.

Builds on

15 of 30 references.

References · 15

  1. 2015Deep Residual Learning for Image Recognitioncited by 52,096
  2. 2014Adam: A Method for Stochastic Optimizationcited by 37,240
  3. 2017Adversarial Attacks on Neural Network Policiescited by 320
  4. 2020Training robust neural networks using Lipschitz boundscited by 99
  5. 2020Sim-to-Real Learning of All Common Bipedal Gaits via Periodic Reward Compositioncited by 96
  6. 2023Direct Parameterization of Lipschitz-Bounded Deep Networkscited by 51
  7. 2018Don't Unroll Adjoint: Differentiating SSA-Form Programscited by 45
  8. 2021Recurrent Equilibrium Networks: Flexible Dynamic Models with Guaranteed Stability and Robustnesscited by 45
  9. 2021Learning over All Stabilizing Nonlinear Controllers for a Partially-Observed Linear Systemcited by 14
  10. 2022Lipschitz constant estimation for 1D convolutional neural networkscited by 13
  11. 2021Youla-REN: Learning Nonlinear Feedback Policies with Robust Stability Guaranteescited by 10
  12. 2021Non-Euclidean Contraction Theory for Robust Nonlinear Stabilitycited by 9
3 more
  1. 2022Synthesis of Stabilizing Recurrent Equilibrium Network Controllerscited by 8
  2. 2023Unconstrained Parametrization of Dissipative and Contracting Neural Ordinary Differential Equationscited by 8
  3. 2023Learning Over Contracting and Lipschitz Closed-Loops for Partially-Observed Nonlinear Systems (Extended Version)cited by 6

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