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2106.13867
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POLAR: A Polynomial Arithmetic Framework for Verifying Neural-Network Controlled Systems
25 June 2021
Chao Huang
Jiameng Fan
Zhilu Wang
Yixuan Wang
Weichao Zhou
Jiajun Li
Xin Chen
Wenchao Li
Qi Zhu
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Papers citing
"POLAR: A Polynomial Arithmetic Framework for Verifying Neural-Network Controlled Systems"
34 / 34 papers shown
Title
Neural Network-assisted Interval Reachability for Systems with Control Barrier Function-Based Safe Controllers
Damola Ajeyemi
Saber Jafarpour
Emiliano DallÁnese
25
0
0
11 Apr 2025
Certified Training with Branch-and-Bound: A Case Study on Lyapunov-stable Neural Control
Zhouxing Shi
Cho-Jui Hsieh
Huan Zhang
65
0
0
27 Nov 2024
Certified Robust Invariant Polytope Training in Neural Controlled ODEs
Akash Harapanahalli
Samuel Coogan
30
2
0
02 Aug 2024
Statistical Reachability Analysis of Stochastic Cyber-Physical Systems under Distribution Shift
Navid Hashemi
Lars Lindemann
Jyotirmoy V. Deshmukh
24
2
0
16 Jul 2024
Formal Verification of Graph Convolutional Networks with Uncertain Node Features and Uncertain Graph Structure
Tobias Ladner
Michael Eichelbeck
Matthias Althoff
GNN
43
0
0
23 Apr 2024
Real-Time Safe Control of Neural Network Dynamic Models with Sound Approximation
Hanjiang Hu
Jianglin Lan
Changliu Liu
28
4
0
20 Apr 2024
Unifying Qualitative and Quantitative Safety Verification of DNN-Controlled Systems
Dapeng Zhi
Peixin Wang
Si Liu
C.-H. Luke Ong
Min Zhang
36
5
0
02 Apr 2024
Provably Safe Neural Network Controllers via Differential Dynamic Logic
Samuel Teuber
Stefan Mitsch
André Platzer
AAML
22
8
0
16 Feb 2024
Compositional Inductive Invariant Based Verification of Neural Network Controlled Systems
Yuhao Zhou
S. Tripakis
8
1
0
17 Dec 2023
Empowering Autonomous Driving with Large Language Models: A Safety Perspective
Yixuan Wang
Ruochen Jiao
Sinong Simon Zhan
Chengtian Lang
Chao Huang
Zhaoran Wang
Zhuoran Yang
Qi Zhu
22
26
0
28 Nov 2023
Bridging Dimensions: Confident Reachability for High-Dimensional Controllers
Yuang Geng
Jake Brandon Baldauf
Souradeep Dutta
Chao Huang
Ivan Ruchkin
30
5
0
08 Nov 2023
Data-Driven Reachability Analysis of Stochastic Dynamical Systems with Conformal Inference
Navid Hashemi
Xin Qin
Lars Lindemann
Jyotirmoy V. Deshmukh
AI4CE
26
17
0
17 Sep 2023
Forward Invariance in Neural Network Controlled Systems
Akash Harapanahalli
Saber Jafarpour
Samuel Coogan
19
4
0
16 Sep 2023
Efficient Interaction-Aware Interval Analysis of Neural Network Feedback Loops
Saber Jafarpour
Akash Harapanahalli
Samuel Coogan
13
12
0
27 Jul 2023
Neural Abstraction-Based Controller Synthesis and Deployment
R. Majumdar
Mahmoud Salamati
Sadegh Soudjani
14
2
0
07 Jul 2023
A Toolbox for Fast Interval Arithmetic in numpy with an Application to Formal Verification of Neural Network Controlled Systems
Akash Harapanahalli
Saber Jafarpour
Samuel Coogan
14
12
0
27 Jun 2023
Fully Automatic Neural Network Reduction for Formal Verification
Tobias Ladner
Matthias Althoff
AAML
21
3
0
03 May 2023
Contraction-Guided Adaptive Partitioning for Reachability Analysis of Neural Network Controlled Systems
Akash Harapanahalli
Saber Jafarpour
Samuel Coogan
26
5
0
07 Apr 2023
POLAR-Express: Efficient and Precise Formal Reachability Analysis of Neural-Network Controlled Systems
Yixuan Wang
Weichao Zhou
Jiameng Fan
Zhilu Wang
Jiajun Li
Xin Chen
Chao Huang
Wenchao Li
Qi Zhu
20
15
0
31 Mar 2023
A Neurosymbolic Approach to the Verification of Temporal Logic Properties of Learning enabled Control Systems
Navid Hashemi
Bardh Hoxha
Tomoya Yamaguchi
Danil Prokhorov
Geogios Fainekos
Jyotirmoy Deshmukh
23
7
0
07 Mar 2023
Safety Analysis of Autonomous Driving Systems Based on Model Learning
Renjue Li
Tianhang Qin
Pengfei Yang
Cheng-Chao Huang
Youcheng Sun
Lijun Zhang
10
1
0
23 Nov 2022
BERN-NN: Tight Bound Propagation For Neural Networks Using Bernstein Polynomial Interval Arithmetic
Wael Fatnassi
Haitham Khedr
Valen Yamamoto
Yasser Shoukry
14
6
0
22 Nov 2022
Taming Reachability Analysis of DNN-Controlled Systems via Abstraction-Based Training
Jiaxu Tian
Dapeng Zhi
Si Liu
Peixin Wang
Guy Katz
M. Zhang
11
1
0
21 Nov 2022
Reachability Verification Based Reliability Assessment for Deep Reinforcement Learning Controlled Robotics and Autonomous Systems
Yizhen Dong
Xingyu Zhao
Sen Wang
Xiaowei Huang
13
7
0
26 Oct 2022
Towards Global Neural Network Abstractions with Locally-Exact Reconstruction
Edoardo Manino
I. Bessa
Lucas C. Cordeiro
17
1
0
21 Oct 2022
Enforcing Hard Constraints with Soft Barriers: Safe Reinforcement Learning in Unknown Stochastic Environments
Yixuan Wang
S. Zhan
Ruochen Jiao
Zhilu Wang
Wanxin Jin
Zhuoran Yang
Zhaoran Wang
Chao Huang
Qi Zhu
11
48
0
29 Sep 2022
Polynomial-Time Reachability for LTI Systems with Two-Level Lattice Neural Network Controllers
James Ferlez
Yasser Shoukry
12
1
0
20 Sep 2022
Risk Verification of Stochastic Systems with Neural Network Controllers
Matthew Cleaveland
Lars Lindemann
Radoslav Ivanov
George Pappas
6
8
0
26 Aug 2022
Open- and Closed-Loop Neural Network Verification using Polynomial Zonotopes
Niklas Kochdumper
Christian Schilling
Matthias Althoff
Stanley Bak
19
32
0
06 Jul 2022
Efficient Global Robustness Certification of Neural Networks via Interleaving Twin-Network Encoding
Zhilu Wang
Chao Huang
Qi Zhu
AAML
31
18
0
26 Mar 2022
Joint Differentiable Optimization and Verification for Certified Reinforcement Learning
Yixuan Wang
S. Zhan
Zhilu Wang
Chao Huang
Zhaoran Wang
Zhuoran Yang
Qi Zhu
6
22
0
28 Jan 2022
Physics-Aware Safety-Assured Design of Hierarchical Neural Network based Planner
Xiangguo Liu
Chao Huang
Yixuan Wang
Bowen Zheng
Qi Zhu
22
19
0
22 Jan 2022
Reluplex: An Efficient SMT Solver for Verifying Deep Neural Networks
Guy Katz
Clark W. Barrett
D. Dill
Kyle D. Julian
Mykel Kochenderfer
AAML
222
1,818
0
03 Feb 2017
Safety Verification of Deep Neural Networks
Xiaowei Huang
M. Kwiatkowska
Sen Wang
Min Wu
AAML
178
929
0
21 Oct 2016
1