activity
20162025
most citedReachable Set Computation and Safety Verification for Neural Networks with ReLU Activations

70 citations · 193 across the 16 of their papers we have counts for

collaborators

17 papers

cs.CV2025

Deterministic World Models for Closed-loop Reachability Analysis of End-to-End Vision-based Control

Yuang Geng, Zhongzheng Zhang, Chengzhen Jiang +5

End-to-end image controllers that map raw camera frames directly to control actions are increasingly deployed in safety-critical systems. However, formally verifying their closed-l…

eess.SY2024

A Transition System Abstraction Framework for Neural Network Dynamical System Models

Yejiang Yang, Zihao Mo, Hoang-Dung Tran +1

This paper proposes a transition system abstraction framework for neural network dynamical system models to enhance the model interpretability, with applications to complex dynamic…

math.NA2022★ 23 cited

Neural Network Compression of ACAS Xu Early Prototype is Unsafe: Closed-Loop Verification through Quantized State Backreachability

Stanley Bak, Hoang-Dung Tran

ACAS Xu is an air-to-air collision avoidance system designed for unmanned aircraft that issues horizontal turn advisories to avoid an intruder aircraft. Due the use of a large look…

cs.LG2021

Neural Network Repair with Reachability Analysis

Xiaodong Yang, Tom Yamaguchi, Hoang-Dung Tran +3

Safety is a critical concern for the next generation of autonomy that is likely to rely heavily on deep neural networks for perception and control. Formally verifying the safety an…

cs.CV2021★ 2 cited

Reachability Analysis of Convolutional Neural Networks

Xiaodong Yang, Tomoya Yamaguchi, Hoang-Dung Tran +3

Deep convolutional neural networks have been widely employed as an effective technique to handle complex and practical problems. However, one of the fundamental problems is the lac…

cs.LG2020

Verification of Deep Convolutional Neural Networks Using ImageStars

Hoang-Dung Tran, Stanley Bak, Weiming Xiang +1

Convolutional Neural Networks (CNN) have redefined the state-of-the-art in many real-world applications, such as facial recognition, image classification, human pose estimation, an…

eess.SY2020★ 4 cited

Reachable Set Estimation for Neural Network Control Systems: A Simulation-Guided Approach

Weiming Xiang, Hoang-Dung Tran, Xiaodong Yang +1

The vulnerability of artificial intelligence (AI) and machine learning (ML) against adversarial disturbances and attacks significantly restricts their applicability in safety-criti…

eess.SY2020★ 1 cited

NNV: The Neural Network Verification Tool for Deep Neural Networks and Learning-Enabled Cyber-Physical Systems

Hoang-Dung Tran, Xiaodong Yang, Diego Manzanas Lopez +5

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 syst…

cs.AI2020★ 11 cited

Reachability Analysis for Feed-Forward Neural Networks using Face Lattices

Xiaodong Yang, Hoang-Dung Tran, Weiming Xiang +1

The paper introduces a parallelizable method that uses face lattices to compute exact reachable sets for feed‑forward ReLU neural networks, enabling more efficient safety verificat…

cs.MA2019★ 2 cited

Real-Time Verification for Distributed Cyber-Physical Systems

Hoang-Dung Tran, Luan Viet Nguyen, Patrick Musau +2

Safety-critical distributed cyber-physical systems (CPSs) have been found in a wide range of applications. Notably, they have displayed a great deal of utility in intelligent trans…

cs.LG2018★ 10 cited

Specification-Guided Safety Verification for Feedforward Neural Networks

Weiming Xiang, Hoang-Dung Tran, Taylor T. Johnson

This paper presents a specification-guided safety verification method for feedforward neural networks with general activation functions. As such feedforward networks are memoryless…

cs.SC2018★ 2 cited

Simulation-Based Reachability Analysis for High-Index Large Linear Differential Algebraic Equations

Hoang-Dung Tran, Weiming Xiang, Nathaniel Hamilton +1

Reachability analysis is a fundamental problem for safety verification and falsification of Cyber-Physical Systems (CPS) whose dynamics follow physical laws usually represented as…

math.NA2018★ 25 cited

Numerical Verification of Affine Systems with up to a Billion Dimensions

Stanley Bak, Hoang-Dung Tran, Taylor T. Johnson

Affine systems reachability is the basis of many verification methods. With further computation, methods exist to reason about richer models with inputs, nonlinear differential equ…

eess.SY2018★ 9 cited

Reachable Set Estimation and Safety Verification for Piecewise Linear Systems with Neural Network Controllers

Weiming Xiang, Hoang-Dung Tran, Joel A. Rosenfeld +1

In this work, the reachable set estimation and safety verification problems for a class of piecewise linear systems equipped with neural network controllers are addressed. The neur…

cs.LG2017★ 70 cited

Reachable Set Computation and Safety Verification for Neural Networks with ReLU Activations

Weiming Xiang, Hoang-Dung Tran, Taylor T. Johnson

Neural networks have been widely used to solve complex real-world problems. Due to the complicate, nonlinear, non-convex nature of neural networks, formal safety guarantees for the…

cs.LG2017★ 33 cited

Output Reachable Set Estimation and Verification for Multi-Layer Neural Networks

Weiming Xiang, Hoang-Dung Tran, Taylor T. Johnson

In this paper, the output reachable estimation and safety verification problems for multi-layer perceptron neural networks are addressed. First, a conception called maximum sensiti…

eess.SY2016★ 1 cited

Order-Reduction Abstractions for Safety Verification of High-Dimensional Linear Systems

Hoang-Dung Tran, Luan Viet Nguyen, Weiming Xiang +1

Order-reduction is a standard automated approximation technique for computer-aided design, analysis, and simulation of many classes of systems, from circuits to buildings. For a gi…