Directed Temporal Representations for Offline Visual Control
arXiv · October 2026
This work learns a control representation that captures how long reaching a visual goal takes. Starting from frozen LeWorldModel (LeWM) features, DTRC learns a directed temporal quasimetric from offline trajectories, allowing forward and reverse reaching costs to differ. Short-range trajectory offsets calibrate the distance, bootstrapped targets extend it to longer horizons, and action-conditioned consistency ties the representation to local transition dynamics.
A reduction in this distance measures progress toward the goal and supplies a temporal critic for training a goal-conditioned flow policy. Model-assisted refinement is constrained by behavior support and dynamics agreement. Across ten visual tasks spanning navigation, reaching, and manipulation, DTRC performs strongly against planning and direct-policy baselines. Temporal supervision improves the same flow-policy architecture on all four LeWM tasks—PushT, TwoRoom, Reacher, and Cube—while execution requires no iterative trajectory search.

