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@@ -687,3 +687,49 @@ family that got 96.5% of training — is the least meaningful number in the tabl
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  - Normalized units throughout: per-dataset z-scores make absolute magnitudes
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  incomparable across datasets, but the ratio is comparable. No mm are reported for
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  the panda families — their native layouts are an unknown mix and no FK exists.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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  - Normalized units throughout: per-dataset z-scores make absolute magnitudes
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  incomparable across datasets, but the ratio is comparable. No mm are reported for
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  the panda families — their native layouts are an unknown mix and no FK exists.
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+
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+ ## GR00T checkpoint on held-out LeKiwi — zero-shot to an unseen embodiment
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+
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+ LeKiwi (SO-100 arm on a 3-wheel kiwi base, 9 native dims: 5 joint targets + gripper
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+ + x_mm/y_mm/theta) is not one of the six GR00T families and has no embodiment id.
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+ Under `conditioning: id` + `action_space: native` there is no reason its dim k means
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+ what any GR00T robot's dim k means, so the checkpoint was given every advantage:
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+ each trained id 10..15 tried and the **best** reported, plus id 0 (a stale C-scaled
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+ row this run never touched) as the "no matching identity" reference. Same 4-seed
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+ ODE averaging, same per-dim baseline search, held-out tail episodes.
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+
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+ The dim search recovers the layout correctly without being told: 5 arm joints and
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+ x_mm/y_mm map to their own state dims (ABS), gripper and theta come out DELTA.
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+
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+ | emb id | abs (7 dims) | delta (2 dims) |
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+ |---|---|---|
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+ | 10 gr1 | 1.22 | 1.07 |
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+ | 11 bi_panda_grip | 1.21 | 1.09 |
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+ | 12 bi_panda_hand | 1.33 | 1.56 |
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+ | 13 single_panda | 1.24 | 1.08 |
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+ | 14 r1_pro | 1.23 | 1.07 |
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+ | **15 g1** | **1.18** | **0.88** |
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+ | **0 (never trained)** | **1.22** | **0.92** |
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+ | oracle repeat-A₀ | 0.91 | 0.54 |
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+
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+ **It does not transfer.** On the absolute dims every id lands at 1.18-1.33 — worse
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+ than simply holding the current pose for 5 seconds. Only the delta pair (gripper,
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+ theta) creeps under 1.0, and even there a dynamics-free predictor that repeats the
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+ first ground-truth action scores 0.54 against the model's 0.88. The model loses to
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+ a trivial predictor on both subsets.
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+
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+ **The control is the interesting part: the untrained id 0 (1.22 / 0.92) is
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+ statistically indistinguishable from the best trained id 15 (1.18 / 0.88).** The
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+ identity channel contributes nothing on a robot it has no row for — which is exactly
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+ the failure mode the morphology-descriptor line was built to avoid, now measured at
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+ scale rather than argued. A learned embodiment id cannot be interpolated to; a
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+ 16-number descriptor can at least be written down for a new robot.
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+
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+ That id 15 (g1: a humanoid arm commanded in joint space) is the best of the six is
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+ the one sensible signal in the table — it is the closest morphology to an SO-100 arm
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+ also commanded in joint space.
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+
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+ Not comparable to our LeKiwi numbers (C-scaled 1.67, +joint 2.10): those are
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+ integrated endpoint error in canonical base-frame EE space, these are native joint
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+ space. The only shared, comparable statement is that **both lines fail on LeKiwi**,
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+ each against its own trivial floor.