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POLAR: A Polynomial Arithmetic Framework for Verifying Neural-Network
  Controlled Systems

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
ArXivPDFHTML

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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Safety Verification of Deep Neural Networks
Xiaowei Huang
M. Kwiatkowska
Sen Wang
Min Wu
AAML
178
929
0
21 Oct 2016
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