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Test instability in a floating-point program occurs when the control flow of the program diverges from its ideal execution assuming real arithmetic. This phenomenon is caused by the presence of round-off errors that affect the evaluation of…

Programming Languages · Computer Science 2020-01-10 Laura Titolo , Mariano Moscato , Cesar A. Muñoz

Branch-and-bound (BaB) is among the most effective techniques for neural network (NN) verification. However, existing works on BaB for NN verification have mostly focused on NNs with piecewise linear activations, especially ReLU networks.…

Machine Learning · Computer Science 2025-02-11 Zhouxing Shi , Qirui Jin , Zico Kolter , Suman Jana , Cho-Jui Hsieh , Huan Zhang

Machine learning techniques often lack formal correctness guarantees, evidenced by the widespread adversarial examples that plague most deep-learning applications. This lack of formal guarantees resulted in several research efforts that aim…

Machine Learning · Computer Science 2024-06-11 Anahita Baninajjar , Ahmed Rezine , Amir Aminifar

When validated neural networks (NNs) are pruned (and retrained) before deployment, it is desirable to prove that the new NN behaves equivalently to the (original) reference NN. To this end, our paper revisits the idea of differential…

Machine Learning · Computer Science 2025-07-14 Samuel Teuber , Philipp Kern , Marvin Janzen , Bernhard Beckert

The current certification process for aerospace software is not adapted to "AI-based" algorithms such as deep neural networks. Unlike traditional aerospace software, the precise parameters optimized during neural network training are as…

Machine Learning · Computer Science 2023-02-23 Maxime Gariel , Brian Shimanuki , Rob Timpe , Evan Wilson

Implementations of artificial neural networks (ANNs) might lead to failures, which are hardly predicted in the design phase since ANNs are highly parallel and their parameters are barely interpretable. Here, we develop and evaluate a novel…

Logic in Computer Science · Computer Science 2020-12-22 Luiz Sena , Erickson Alves , Iury Bessa , Eddie Filho , Lucas Cordeiro

Learning-based methods could provide solutions to many of the long-standing challenges in control. However, the neural networks (NNs) commonly used in modern learning approaches present substantial challenges for analyzing the resulting…

Machine Learning · Computer Science 2022-02-03 Michael Everett

Quantization replaces floating point arithmetic with integer arithmetic in deep neural network models, providing more efficient on-device inference with less power and memory. In this work, we propose a framework for formally verifying…

Machine Learning · Computer Science 2023-12-29 Pei Huang , Haoze Wu , Yuting Yang , Ieva Daukantas , Min Wu , Yedi Zhang , Clark Barrett

Neural network verification tools currently support only a narrow class of specifications, typically expressed as low-level constraints over raw inputs and outputs. This limitation significantly hinders their adoption and practical…

Machine Learning · Computer Science 2026-03-04 Yizhak Y. Elboher , Reuven Peleg , Zhouxing Shi , Guy Katz , Jan Křetínský

In recent years, machine learning (ML) and neural networks (NNs) have gained widespread use and attention across various domains, particularly in transportation for achieving autonomy, including the emergence of flying taxis for urban air…

Machine Learning · Computer Science 2024-01-17 Fabien Geyer , Johannes Freitag , Tobias Schulz , Sascha Uhrig

Verifying that input-output relationships of a neural network conform to prescribed operational specifications is a key enabler towards deploying these networks in safety-critical applications. Semidefinite programming (SDP)-based…

Optimization and Control · Mathematics 2022-03-08 Robin Brown , Edward Schmerling , Navid Azizan , Marco Pavone

Neural networks are increasingly deployed in real-world safety-critical domains such as autonomous driving, aircraft collision avoidance, and malware detection. However, these networks have been shown to often mispredict on inputs with…

Machine Learning · Computer Science 2018-11-09 Shiqi Wang , Kexin Pei , Justin Whitehouse , Junfeng Yang , Suman Jana

QNNVerifier is the first open-source tool for verifying implementations of neural networks that takes into account the finite word-length (i.e. quantization) of their operands. The novel support for quantization is achieved by employing…

Artificial Intelligence · Computer Science 2021-11-29 Xidan Song , Edoardo Manino , Luiz Sena , Erickson Alves , Eddie de Lima Filho , Iury Bessa , Mikel Lujan , Lucas Cordeiro

Large language models can generate useful code from natural language, but their outputs come without correctness guarantees. Verifiable code generation offers a path beyond testing by requiring models to produce not only executable code,…

Software Engineering · Computer Science 2026-05-12 Zichen Xie , Mrigank Pawagi , Yuxin Liu , Aaditi Rai , Lize Shao , John Berberian , Sicong Che , Wenxi Wang

Neural networks are often susceptible to minor perturbations in input that cause them to misclassify. A recent solution to this problem is the use of globally-robust neural networks, which employ a function to certify that the…

Programming Languages · Computer Science 2025-05-13 James Tobler , Hira Taqdees Syeda , Toby Murray

Control barrier functions (CBFs) are a popular tool for safety certification of nonlinear dynamical control systems. Recently, CBFs represented as neural networks have shown great promise due to their expressiveness and applicability to a…

Machine Learning · Computer Science 2026-04-15 Nikolaus Vertovec , Frederik Baymler Mathiesen , Thom Badings , Luca Laurenti , Alessandro Abate

Semiconductor companies have increasingly adopted a methodology that starts with a system-level design specification in C/C++/SystemC. This model is extensively simulated to ensure correct functionality and performance. Later, a Register…

Software Engineering · Computer Science 2016-09-02 Rajdeep Mukherjee , Saurabh Joshi , Andreas Griesmayer , Daniel Kroening , Tom Melham

Neural certificates have emerged as a powerful tool in cyber-physical systems control, providing witnesses of correctness. These certificates, such as barrier functions, often learned alongside control policies, once verified, serve as…

Symbolic Computation · Computer Science 2025-07-17 Thomas A. Henzinger , Konstantin Kueffner , Emily Yu

This paper presents the Neural Network Verification (NNV) software tool, a set-based verification framework for deep neural networks (DNNs) and learning-enabled cyber-physical systems (CPS). The crux of NNV is a collection of reachability…

Systems and Control · Electrical Eng. & Systems 2020-04-14 Hoang-Dung Tran , Xiaodong Yang , Diego Manzanas Lopez , Patrick Musau , Luan Viet Nguyen , Weiming Xiang , Stanley Bak , Taylor T. Johnson

We introduce CheckNet, a method for secure inference with deep neural networks on untrusted devices. CheckNet is like a checksum for neural network inference: it verifies the integrity of the inference computation performed by untrusted…

Machine Learning · Computer Science 2019-06-18 Marcus Comiter , Surat Teerapittayanon , H. T. Kung
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