Reproduce “Learning Goal-Reaching Quasimetric Geometry From Finite-Time Reachability” on OpenResearch

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About this paper

Daisuke Yamada, Travis Pence, Vikas Singh

ReQRL learns goal-reaching costs for offline reinforcement learning by supervising a quasimetric critic with finite-horizon reachable motions and estimated environment boundaries. It generally outperformed QRL and EikHiQRL on maze benchmarks, including 89% success on humanoidmaze-large-stitch and gains on carmaze tasks where sequences of controls enable movements unavailable instantaneously.

Key insights

  • Finite-horizon reachability can provide local critic supervision that reflects composed controls, rather than only the directions available at an instant.
  • Separating interior dynamics constraints from boundary constraints offers a practical approximation to the effects of both control limits and environmental obstacles.
  • Performance depends on the quality of dynamics and boundary estimates, which in turn rely on suitable offline-data coverage.

Summary by alphaXiv.

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