Sok: Certified robustness for deep neural networks

L Li, T **e, B Li - 2023 IEEE symposium on security and privacy …, 2023 - ieeexplore.ieee.org
Great advances in deep neural networks (DNNs) have led to state-of-the-art performance on
a wide range of tasks. However, recent studies have shown that DNNs are vulnerable to …

Connecting certified and adversarial training

Y Mao, M Müller, M Fischer… - Advances in Neural …, 2023 - proceedings.neurips.cc
Training certifiably robust neural networks remains a notoriously hard problem. While
adversarial training optimizes under-approximations of the worst-case loss, which leads to …

Open-and closed-loop neural network verification using polynomial zonotopes

N Kochdumper, C Schilling, M Althoff, S Bak - NASA Formal Methods …, 2023 - Springer
We present a novel approach to efficiently compute tight non-convex enclosures of the
image through neural networks with ReLU, sigmoid, or hyperbolic tangent activation …

Critically assessing the state of the art in neural network verification

M König, AW Bosman, HH Hoos, JN van Rijn - Journal of Machine …, 2024 - jmlr.org
Recent research has proposed various methods to formally verify neural networks against
minimal input perturbations; this verification task is also known as local robustness …

Controller synthesis for autonomous systems with deep-learning perception components

R Calinescu, C Imrie, R Mangal… - IEEE Transactions …, 2024 - ieeexplore.ieee.org
We present DeepDECS, a new method for the synthesis of correct-by-construction software
controllers for autonomous systems that use deep neural network (DNN) classifiers for the …

Polar-express: Efficient and precise formal reachability analysis of neural-network controlled systems

Y Wang, W Zhou, J Fan, Z Wang, J Li… - … on Computer-Aided …, 2023 - ieeexplore.ieee.org
Neural networks (NNs) playing the role of controllers have demonstrated impressive
empirical performance on challenging control problems. However, the potential adoption of …

Formal verification for neural networks with general nonlinearities via branch-and-bound

Z Shi, Q **, JZ Kolter, S Jana, CJ Hsieh, H Zhang - 2023 - openreview.net
Bound propagation with branch-and-bound (BaB) is so far among the most effective
methods for neural network (NN) verification. However, existing works with BaB have mostly …

Understanding certified training with interval bound propagation

Y Mao, MN Müller, M Fischer, M Vechev - arxiv preprint arxiv:2306.10426, 2023 - arxiv.org
As robustness verification methods are becoming more precise, training certifiably robust
neural networks is becoming ever more relevant. To this end, certified training methods …

Attack as detection: Using adversarial attack methods to detect abnormal examples

Z Zhao, G Chen, T Liu, T Li, F Song, J Wang… - ACM Transactions on …, 2024 - dl.acm.org
As a new programming paradigm, deep learning (DL) has achieved impressive performance
in areas such as image processing and speech recognition, and has expanded its …

A DPLL (T) framework for verifying deep neural networks

H Duong, TV Nguyen, M Dwyer - arxiv preprint arxiv:2307.10266, 2023 - arxiv.org
Deep Neural Networks (DNNs) have emerged as an effective approach to tackling real-
world problems. However, like human-written software, DNNs can have bugs and can be …