mlsanityData to 7 Oct 2026

Verifying Recurrent Neural Networks using Invariant Inference

arXiv 2004.02462 ↗First posted 6 Apr 2020cs.AI cs.LOcited by 25

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Abstract (arXiv)

Deep neural networks are revolutionizing the way complex systems are developed. However, these automatically-generated networks are opaque to humans, making it difficult to reason about them and guarantee their correctness. Here, we propose a novel approach for verifying properties of a widespread variant of neural networks, called recurrent neural networks. Recurrent neural networks play a key role in, e.g., natural language processing, and their verification is crucial for guaranteeing the reliability of many critical systems. Our approach is based on the inference of invariants, which allow us to reduce the complex problem of verifying recurrent networks into simpler, non-recurrent problems. Experiments with a proof-of-concept implementation of our approach demonstrate that it performs orders-of-magnitude better than the state of the art.

Key facts. Cited by 25 papers in the map (data through 7 Oct 2026). First posted on arXiv 6 Apr 2020.

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 8; 2022: 8; 2023: 5; 2024: 1; 2025: 1; 2026: 2.

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  1. 2022Causality-based Neural Network Repaircited by 44
  2. 2021Towards Scalable Verification of Deep Reinforcement Learningcited by 33
  3. 2022Verifying Learning-Based Robotic Navigation Systemscited by 33
  4. 2022An Abstraction-Refinement Approach to Verifying Convolutional Neural Networkscited by 24
  5. 2023Formally Explaining Neural Networks within Reactive Systemscited by 24
  6. 2022Neural Network Verification with Proof Productioncited by 22
  7. 2021Pruning and Slicing Neural Networks using Formal Verificationcited by 20
  8. 2021Certified Robustness to Programmable Transformations in LSTMscited by 18
  9. 2022Verification-Aided Deep Ensemble Selectioncited by 18
  10. 2021Probabilistic Verification of Neural Networks Against Group Fairnesscited by 17
  11. 2021Minimal Multi-Layer Modifications of Deep Neural Networkscited by 14
  12. 2021On Recurrent Neural Networks for learning-based control: recent results and ideas for future developmentscited by 14
13 more
  1. 2023Verifying Generalization in Deep Learningcited by 11
  2. 2024Hard to Explain: On the Computational Hardness of In-Distribution Model Interpretationcited by 11
  3. 2021RoMA: a Method for Neural Network Robustness Measurement and Assessmentcited by 10
  4. 2022Tighter Abstract Queries in Neural Network Verificationcited by 8
  5. 2022On Optimizing Back-Substitution Methods for Neural Network Verificationcited by 6
  6. 2023DelBugV: Delta-Debugging Neural Network Verifierscited by 3
  7. 2022Toward the Analysis of Graph Neural Networkscited by 2
  8. 2023Model-Agnostic Reachability Analysis on Deep Neural Networkscited by 1
  9. 2021Permutation Invariance of Deep Neural Networks with ReLUscited by 0
  10. 2023Formal Verification of Long Short-Term Memory based Audio Classifiers: A Star based Approachcited by 0
  11. 2025LTL Verification of Memoryful Neural Agentscited by 0
  12. 2026Probabilistic Verification of Recurrent Neural Networks for Single and Multi-Agent Reinforcement Learningcited by 0
  13. 2026Neural Network Verification using Partial Multi-Neuron Relaxationcited by 0