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arXiv

Author treats all four layers of a humanoid learning pipeline as proxies, reporting a curriculum gate that advanced at its rate limit while the gated skill was absent and a synchronised push test that ranked a 0.5 m/s push as more dangerous than a 2.0 m/s one

The author argues that the reward, curriculum gate, evaluation statistic, and reference motion in a legged-robot reinforcement-learning pipeline are all proxies in the same formal sense, each with a characteristic divergence mechanism and a reformulation that closes it, illustrated by measurements from one continuous lineage of a PPO policy for a simulated 1.91 m humanoid grown over four stages and 13,500 iterations, among which a curriculum gate built on averaged error advanced at its rate limit on every check while the skill it gated was absent, and a batched push test whose synchronised resets aliased the gait phase ranked a 0.5 m/s push as more dangerous than a 2.0 m/s one.