5 papers · 1 filter
From Points to Sets: Set-Based Safety Verification in the Latent Space
Wenyuan Wu, Peng Xie, Zhen Zhang +3
We extend latent representation methods for safety control design to set-valued states. Recent work has shown that barrier functions designed in a learned latent space can transfer…
Transformer-Enhanced Data-Driven Output Reachability with Conformal Coverage Guarantees
Zhen Zhang, Peng Xie, Wenyuan Wu +2
This paper considers output reachability analysis for linear time-invariant systems with unknown state-space matrices and unknown observation map, given only noisy input-output mea…
Transformer-Accelerated Interpolated Data-Driven Reachability Analysis from Noisy Data
Zhen Zhang, Ahmad Hafez, Peng Xie +3
Data-driven reachability analysis provides guaranteed outer approximations of reachable sets from input-state measurements, yet each propagation step requires a matrix-zonotope mul…
Certified Set Convergence for Piecewise Affine Systems via Neural Lyapunov Functions
Yanliang Huang, Peng Xie, Zhen Zhang +3
Safety-critical control of piecewise affine (PWA) systems under bounded additive disturbances requires guarantees not for individual states but for entire state sets simultaneously…
Data-Driven Reachability Analysis via Diffusion Models with PAC Guarantees
Yanliang Huang, Peng Xie, Wenyuan Wu +2
We present a data-driven framework for reachability analysis of nonlinear dynamical systems that requires no explicit model. A denoising diffusion probabilistic model learns the ti…