A joint frozen at the action clamp pays zero action_rate forever - penalize pre-clip saturation to make the cheat cost money
saturation-cheating-zero-rate-cost.Whenever actions are clipped and any smoothness/rate penalty exists, add a pre-clip saturation penalty so living at the clamp costs more than oscillating - and audit for frozen-at-clamp joints (action std ~0, |a| at exactly the clip value) as a standing acceptance row.
Symptom
With action_rate_l2 raised to -0.2, walk_v7's hip_pitch actions froze at exactly +/-1.000 (the clamp), reproduced bit-for-bit on hardware (splits frozen at +/-0.35 rad); the gait-shaping term joint_pos_ref collapsed to 0.026-0.035. The repo had died in the same trap once before (walk_v0: four joints pinned at +/-1.0).
Context
Mechanism: a joint pinned at the clamp has action-rate cost exactly zero and forever zero - under a strong smoothness tax, "push to the clamp and freeze" becomes the dominant optimum. Lowering the weight (-0.2 -> -0.1) only reduces temptation; the frozen state still costs nothing, so the structural fix adds action_saturation = sum(relu( |a_raw| - 0.9)) at weight -1.0, computed on the PRE-clip network output - post-clip, |a|=1.01 and |a|=3 punish identically and the out-of-range gradient dies (v0's old disease: mean |a| 1.71 soaked in saturation). Economics: freezing at |a|=1.0 now pays 0.1/joint/step (two hips = 40% of alive) vs ~0.0004/step for the healthy reference oscillation - the cheat flips from free to ~250x negative. Honest limits were recorded: A1 does not forbid freezing at 0.89 (the anti-freeze pressure must come from the oscillation demand of joint_pos_ref), and the alternative "rate on post-clip target" was rejected as 换汤不换药 - a pinned target also has zero rate.
Change
v8-A: add action_saturation (-1.0, thresh 0.9, pre-clip) AND halve action_rate_l2 (-0.2 -> -0.1, still 3.3x the v5 value); success criterion pre-declared (joint_pos_ref telemetry returns to v6 scale).
Outcome
Booked as the structural repair of the v7 freeze; also fixed a config hygiene trap discovered on the way - action_rate was assigned twice in __post_init__ (v5 comment line then v7 line), merged to one assignment "别再留两处赋值给下次审计埋雷".
Mechanism
Clipping creates a zero-gradient, zero-cost absorbing region in action space; any penalty on action derivatives makes that region strictly optimal once entered. Only a penalty on clamp proximity itself (measured pre-clip so depth of violation is visible) restores a slope out of the absorbing region.
Applies when
- joints sit at exactly the action clip with near-zero variance
- raising a smoothness penalty degrades gait amplitude
- shaped-oscillation terms collapse after a rate-weight increase
“钉死在钳位的关节 action_rate 代价精确为零且永远为零;−0.2 之下"推到钳位冻起来"成了压倒性最优 … 本仓第二次栽在同一坑(walk_v0 死于四关节钉死 ±1.0)。回调权重(−0.2→−0.1)只降低诱惑不消除作弊 … 算在 clip 前的原始网络输出上 … 作弊收支从"白赚"变成"倒贴 ~250 倍"。”