2 papers
math.AP2025
On the vanishing viscosity limit of Hamilton-Jacobi equations with nearly optimal discount
Zibo Wang, Jianlu Zhang
In this paper, we establish the convergence of solutions to the viscous Hamilton-Jacobi equation (with a Tonelli Hamiltonian): \[ λu +H(x, du)=\varepsilon(λ)Îu,\quad λ>0 \] as…
cs.RO2025
Long-horizon Embodied Planning with Implicit Logical Inference and Hallucination Mitigation
Siyuan Liu, Jiawei Du, Sicheng Xiang +2
Long-horizon embodied planning underpins embodied AI. To accomplish long-horizon tasks, one of the most feasible ways is to decompose abstract instructions into a sequence of actio…