WorldCycle: Self-Verifiable Reinforcement Learning for Long-Horizon Video World Models
Abstract
Interactive video world models are essential for long-horizon planning and exploration, yet they suffer from compounding errors. Post-training methods such as reinforcement learning (RL) can improve these models, but they hit a verification bottleneck: for arbitrary action sequences, no ground-truth future state exists to measure long-term drift. Our key insight is that reversible action cycles make this verification possible: a sequence composed with its inverse must analytically return to the initial state, yielding annotation-free supervision on long-horizon correctness. Building on this, we introduce WorldCycle, a self-verifiable RL framework that constructs closed action cycles and their repeated executions from ordinary action sequences, and optimizes two complementary rewards: a spatial closure reward enforcing symmetry between mirrored forward and reverse segments, and a temporal consistency reward aligning states across repeated cycle executions. These rewards force the model to learn actions as consistent state operators rather than memorized temporal patterns, and extend naturally to out-of-distribution composite action cycles that the base model handles poorly. We further release CycleBench, a diagnostic benchmark for state-returning ability under complex action structures. WorldCycle reduces state returning drift by up to 44% and lifts composite-action accuracy nearly 4x over the base model, providing a vital foundation for physically grounded world models.
Community
๐ Authors here โ happy to answer questions about WorldCycle!
TL;DR: Video world models look great frame-by-frame, but ask one to walk forward and back and it never returns to where it started. We turn that failure into free supervision. WorldCycle uses reversible action cycles as a self-verifiable RL signal โ no ground-truth trajectories needed โ and cuts long-horizon state-returning drift by up to 44%, while boosting composite-action accuracy nearly 4ร.
The problem nobody was measuring ๐
Post-training for video world models mostly optimizes short-horizon visual quality or per-step action alignment. But the real bottleneck for long horizons is that there's no supervision signal: for an arbitrary action sequence, no ground-truth future state exists to measure accumulated error. So models drift, and we can't even tell.
The key insight ๐ก
Physics gives us one exact, annotation-free reference for free: a reversible action cycle must return to its starting state. Move the camera forward then back โ you should see the exact same view. We show that strong baselines (WorldPlay, WorldCompass) fail this minimal check in two ways:
- Spatial closure failure โ an inverse action sequence doesn't recover the starting view.
- Temporal consistency failure โ the same action produces different displacements at different rollout depths.
Both are invisible to any short-horizon reward, and they compound with horizon length.
Method ๐ ๏ธ
We turn closed action programs into dense supervision:
- Spatial closure reward โ build mirrored frame pairs at every intermediate depth of a cycle and compare them, so each chunk becomes an independently verifiable closure check (no sparse endpoint-only signal).
- Temporal state-consistency reward โ repeat cycles and compare co-indexed frames across them, penalizing drift of identical actions over time.
Together these force the model to learn actions as consistent state operators rather than memorized temporal patterns โ and the same objective extends to composite actions (e.g. move-while-turning) with no ground-truth video.
CycleBench ๐
Since no existing benchmark diagnoses state-returning consistency, we release CycleBench: reversible, repeated, and composite cycles across short-/mid-/long-horizon settings โ evaluating video world models as simulators, not just short-horizon generators.
Results
- Up to 44% reduction in state-returning drift.
- Nearly 4ร improvement on composite-action accuracy over the baseline (which itself shows a 5ร accuracy collapse on composite vs. simple actions).
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