QPRL · ICML 2025

QPRL: Learning Optimal Policies with Quasi-Potential Functions for Asymmetric Traversal

Jumman Hossain, Nirmalya Roy

Separating potential differences from path-dependent costs to structure goal-reaching under asymmetric traversal.

QPRL framework using quasi-potential functions for asymmetric traversal
QPRL framework using quasi-potential functions for asymmetric traversal. Full-resolution image

Overview

In goal-reaching tasks, a transition can be easy to make and difficult to undo. QPRL studies a representation of traversal cost that explicitly accounts for that directional structure.

The method decomposes cost into a potential difference and a path-dependent residual. This structure is combined with a Lyapunov-based constraint during policy learning.

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