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ablation_runs/findings.html ADDED
@@ -0,0 +1,43 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ <h3>What the three questions get answered</h3>
2
+ <div class="prose">
3
+ <p><b>1 &middot; Do the track tokens help?</b> Yes &mdash; and the mechanism is
4
+ visible. With identical budgets, removing the track pathway leaves the
5
+ single-step action flow MSE almost unchanged (0.745 vs 0.752 at &tau;=0.2)
6
+ but costs <b>+12% open-loop cascade error</b> (0.230 vs 0.205, paired
7
+ +0.0245&thinsp;&plusmn;&thinsp;0.0033 over the same 16 anchors and seeds), with the
8
+ largest hit on the hand dimensions (+19%). The routing explains why: in the
9
+ full model the action queries put <b>~80% of their self-attention mass on
10
+ track tokens</b> (past + future), so the plan flows through the geometric
11
+ pathway; without it they fall back onto raw observation patches and
12
+ themselves. The loss also propagates downstream &mdash; the force stage reads a
13
+ poorer coarse memory and its flow MSE degrades from 0.643 to 0.778, while
14
+ its reliance on tactile tokens roughly triples (attention mass 13&ndash;15% vs
15
+ 4&ndash;5%; tactile sensitivity 0.026 vs 0.014) to compensate.</p>
16
+ <p><b>2 &middot; Does the force stage earn its place as an output?</b> This is
17
+ the largest effect in the study. Running the tactile refinement cuts
18
+ open-loop action error <b>almost in half</b>: 0.386 &rarr; 0.205 (paired
19
+ &minus;0.1805&thinsp;&plusmn;&thinsp;0.0077), and on the hand dimensions from 0.371 to
20
+ 0.170 (&minus;54%). Critically, variant C&rsquo;s coarse model &mdash; trained without
21
+ any force stage &mdash; performs the same as A&rsquo;s coarse readout
22
+ (0.379 vs 0.386), so the gain is produced by the refinement stage itself,
23
+ not by a training side-effect on the world model. The low-noise segment
24
+ &tau;&thinsp;&isin;&thinsp;(0, 0.4] is simply better served by a small,
25
+ tactile-conditioned expert than by six more Euler steps of the 5B coarse
26
+ model.</p>
27
+ <p><b>3 &middot; F6 alone vs deformation tactile + F6?</b> Adding ten per-finger
28
+ deformation-image tokens gives a small but consistent further gain:
29
+ open-loop cascade 0.2016 vs 0.2054 (paired &minus;0.0038&thinsp;&plusmn;&thinsp;0.0015),
30
+ with the force-stage flow MSE edging from 0.643 to 0.639 and training force
31
+ loss from 0.64 to 0.61. The refiner does read the new tokens &mdash; they
32
+ receive the same attention mass as each existing tactile stream
33
+ (&asymp;1.6%, vs F6 1.4% and VQ 1.6%) &mdash; but coarse memory still dominates
34
+ at ~93%. On a single-episode overfit benchmark the headroom above F6 is
35
+ inherently small; the direction of every metric favors deformation input,
36
+ and the honest read is &ldquo;cheap to add, consistently non-negative,
37
+ needs multi-episode training to show its real value.&rdquo;</p>
38
+ <p style="font-size:13.5px;color:var(--muted);">Scope note: all runs overfit
39
+ one 902-frame episode (~537 anchors) for 3,000 steps; the comparisons
40
+ isolate representation and architecture effects under identical budgets,
41
+ not generalization. The 4-GPU 20k-step production run of the full model is
42
+ reported separately above.</p>
43
+ </div>
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- <circle class="vdot v-full" cx="508.5" cy="198.2" r="3.5"></circle>
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1740
- <circle class="vdot v-noforce" cx="191.4" cy="125.4" r="3.5"></circle>
 
 
1741
  </svg></div>
1742
  <div><svg viewBox="0 0 520 230" role="img" aria-label="force flow MSE">
1743
  <text class="th" x="46" y="15">force flow MSE</text>
1744
- <line class="grid-cell" x1="46" y1="121.3" x2="510" y2="121.3"></line>
1745
- <text class="ts" x="40" y="124.3" text-anchor="end">1</text>
1746
  <line class="grid-cell" x1="46.0" y1="26" x2="46.0" y2="200"></line>
1747
  <text class="ts" x="46.0" y="214" text-anchor="middle">0k</text>
1748
  <line class="grid-cell" x1="200.7" y1="26" x2="200.7" y2="200"></line>
@@ -1752,10 +1758,12 @@
1752
  <line class="grid-cell" x1="510.0" y1="26" x2="510.0" y2="200"></line>
1753
  <text class="ts" x="510.0" y="214" text-anchor="middle">3k</text>
1754
  <text class="ts" x="510" y="224" text-anchor="end">step</text>
1755
- <path class="vw v-full" d="M46.0 26.0 L49.1 27.5 L52.2 30.1 L55.3 35.3 L58.4 40.6 L61.5 45.6 L64.6 49.5 L67.7 54.3 L70.7 56.4 L73.8 59.1 L76.9 62.4 L80.0 65.3 L83.1 68.7 L86.2 71.7 L89.3 75.3 L92.4 78.3 L95.5 81.6 L98.6 85.1 L101.7 88.0 L104.8 90.1 L107.9 92.1 L111.0 94.3 L114.1 96.1 L117.1 97.7 L120.2 99.4 L123.3 100.6 L126.4 101.7 L129.5 102.8 L132.6 104.1 L135.7 105.2 L138.8 106.3 L141.9 107.0 L145.0 107.3 L148.1 107.9 L151.2 108.6 L154.3 109.3 L157.4 109.9 L160.5 110.7 L163.5 111.0 L166.6 111.5 L169.7 111.9 L172.8 112.2 L175.9 112.6 L179.0 113.1 L182.1 113.3 L185.2 113.7 L188.3 114.0 L191.4 114.4 L194.5 114.8 L197.6 115.2 L200.7 115.3 L203.8 115.8 L206.9 116.2 L209.9 116.4 L213.0 116.8 L216.1 117.4 L219.2 117.7 L222.3 118.3 L225.4 118.8 L228.5 119.2 L231.6 119.7 L234.7 120.1 L237.8 120.5 L240.9 121.0 L244.0 122.0 L247.1 122.8 L250.2 123.7 L253.3 124.4 L256.3 125.0 L259.4 125.5 L262.5 126.3 L265.6 127.1 L268.7 127.9 L271.8 129.2 L274.9 130.2 L278.0 131.3 L281.1 132.4 L284.2 133.2 L287.3 134.4 L290.4 135.6 L293.5 136.4 L296.6 138.3 L299.7 139.9 L302.7 140.9 L305.8 142.6 L308.9 144.1 L312.0 146.0 L315.1 148.0 L318.2 149.5 L321.3 151.1 L324.4 152.5 L327.5 154.0 L330.6 155.4 L333.7 157.0 L336.8 158.9 L339.9 160.2 L343.0 161.9 L346.1 163.4 L349.1 164.9 L352.2 166.2 L355.3 167.4 L358.4 168.9 L361.5 170.1 L364.6 172.0 L367.7 173.8 L370.8 174.1 L373.9 175.5 L377.0 176.8 L380.1 178.5 L383.2 180.1 L386.3 181.4 L389.4 182.5 L392.5 183.9 L395.5 185.0 L398.6 185.3 L401.7 185.6 L404.8 186.6 L407.9 187.8 L411.0 189.4 L414.1 189.8 L417.2 190.6 L420.3 190.7 L423.4 191.0 L426.5 192.1 L429.6 193.1 L432.7 194.0 L435.8 195.4 L438.9 195.9 L441.9 196.9 L445.0 196.9 L448.1 197.5 L451.2 197.9 L454.3 197.3 L457.4 198.0 L460.5 198.5 L463.6 198.3 L466.7 198.4 L469.8 198.9 L472.9 199.1 L476.0 199.4 L479.1 199.7 L482.2 199.4 L485.3 199.1 L488.3 199.3 L491.4 199.5 L494.5 199.9 L497.6 200.0 L500.7 198.8 L503.8 199.1 L506.9 198.9 L508.5 199.2"></path>
1756
- <circle class="vdot v-full" cx="508.5" cy="199.2" r="3.5"></circle>
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- <path class="vw v-notrack" d="M46.0 29.6 L49.1 29.0 L52.2 31.0 L55.3 36.5 L58.4 41.7 L61.5 47.0 L64.6 51.2 L67.7 56.5 L70.7 59.3 L73.8 63.0 L76.9 66.9 L80.0 71.1 L83.1 75.5 L86.2 79.0 L89.3 82.7 L92.4 85.3 L95.5 87.8 L98.6 90.8 L101.7 93.0 L104.8 94.7 L107.9 96.2 L111.0 97.7 L114.1 99.0 L117.1 100.6 L120.2 102.0 L123.3 102.6 L126.4 103.7 L129.5 104.6 L132.6 105.5 L135.7 106.4 L138.8 107.5 L141.9 108.0 L145.0 108.4 L148.1 108.9 L151.2 109.2 L154.3 109.8 L157.4 110.2 L160.5 110.7 L163.5 110.6 L166.6 111.2 L169.7 111.2 L172.8 111.4 L175.9 111.5 L179.0 111.9 L182.1 112.1 L185.2 112.5 L188.3 112.8 L191.4 113.5 L194.5 113.6 L197.6 113.4 L200.7 113.8 L203.8 114.3 L206.9 114.6 L209.9 114.7 L213.0 115.2 L216.1 116.1 L219.2 116.3 L222.3 116.5 L225.4 116.7 L228.5 117.0 L231.6 117.6 L234.7 117.3 L237.8 117.7 L240.9 118.0 L244.0 118.5 L247.1 118.7 L250.2 119.2 L253.3 119.7 L256.3 119.9 L259.4 120.3 L262.5 120.8 L265.6 121.5 L268.7 122.0 L271.8 122.6 L274.9 122.6 L278.0 123.2 L281.1 124.1 L284.2 124.4 L287.3 124.8 L290.4 125.3 L293.5 125.6 L296.6 126.3 L299.7 127.0 L302.7 127.7 L305.8 128.3 L308.9 128.9 L312.0 129.3 L315.1 129.9 L318.2 130.8 L321.3 131.7 L324.4 132.5 L327.5 133.4 L330.6 134.1 L333.7 135.1 L336.8 136.2 L339.9 137.1 L343.0 138.0 L346.1 138.6 L349.1 139.9 L352.2 140.4 L355.3 141.7 L358.4 142.7 L361.5 143.0 L364.6 143.8 L367.7 144.9 L370.8 145.6 L373.9 146.6 L377.0 147.9 L380.1 149.3 L383.2 149.9 L386.3 151.2 L389.4 152.1 L392.5 152.6 L395.5 153.1 L398.6 153.6 L401.7 154.3 L404.8 155.5 L407.9 156.2 L411.0 156.8 L414.1 157.5 L417.2 158.1 L420.3 158.7 L423.4 159.4 L426.5 159.7 L429.6 161.0 L432.7 161.5 L435.8 161.5 L438.9 161.7 L441.9 162.3 L445.0 162.5 L448.1 163.3 L451.2 164.2 L454.3 164.4 L457.4 164.8 L460.5 164.9 L463.6 165.2 L466.7 166.3 L469.8 167.1 L472.9 167.1 L476.0 167.7 L479.1 167.7 L482.2 168.1 L485.3 167.6 L488.3 167.1 L491.4 167.0 L494.5 166.9 L497.6 167.1 L500.7 167.3 L503.8 167.3 L506.9 167.5 L508.5 167.7"></path>
1758
- <circle class="vdot v-notrack" cx="508.5" cy="167.7" r="3.5"></circle>
 
 
1759
  </svg></div>
1760
  </div>
1761
  <figcaption><b>Figure A1 &mdash; Same-step training loss convergence.</b>
@@ -1771,7 +1779,8 @@
1771
  <th>dynamics</th><th>track</th><th>force</th></tr></thead>
1772
  <tbody><tr><td><span class="chip"><span class="vs vs-full"></span>&nbsp;A · full (track+force)</span></td><td class="shape">0.2819</td><td class="shape">0.3325</td><td class="shape">0.1501</td><td class="shape">0.6187</td></tr>
1773
  <tr><td><span class="chip"><span class="vs vs-notrack"></span>&nbsp;B · no track</span></td><td class="shape">0.2749</td><td class="shape">0.2837</td><td class="shape">&mdash;</td><td class="shape">0.7535</td></tr>
1774
- <tr><td><span class="chip"><span class="vs vs-noforce"></span>&nbsp;C · no force stage</span></td><td class="shape">&mdash;</td><td class="shape">&mdash;</td><td class="shape">&mdash;</td><td class="shape">&mdash;</td></tr></tbody>
 
1775
  </table>
1776
  </div>
1777
  <h3>Controlled evaluation on frozen checkpoints</h3>
@@ -1780,7 +1789,7 @@
1780
  (<code>scripts/eval/trex_ablation_eval.py</code>). Open-loop: each variant
1781
  runs its own full sampling loop from pure noise on 16 anchors and is scored
1782
  against the ground-truth normalized delta-base chunk.</p></div>
1783
- <figure><svg viewBox="0 0 560 138" role="img" aria-label="open-loop action MSE ↓ (16 anchors, normalized 62-D)">
1784
  <text class="th" x="0" y="14">open-loop action MSE ↓ (16 anchors, normalized 62-D)</text>
1785
  <text class="t" x="232" y="39" text-anchor="end">A · cascade (+force stage)</text>
1786
  <rect class="v-full" x="240" y="26" width="133.1" height="16" rx="3"></rect>
@@ -1792,17 +1801,35 @@
1792
  <rect class="v-notrack" x="240" y="82" width="149.0" height="16" rx="3"></rect>
1793
  <text class="ts" x="395.0" y="95">0.230</text>
1794
  <text class="t" x="232" y="123" text-anchor="end">B · coarse only</text>
1795
- <rect class="v-notrack vfaded" x="240" y="110" width="248.4" height="16" rx="3"></rect>
1796
- <text class="ts" x="494.4" y="123">0.383</text>
 
 
 
 
 
 
 
 
 
1797
  </svg><figcaption><b>Figure A2 &mdash; Open-loop reconstruction.</b> Faded bars: the coarse action read out at &tau;=0 without tactile refinement (for C this is its only mode). Solid bars: the full cascade.</figcaption></figure>
1798
 
1799
  <div class="tbl-wrap">
1800
  <table>
1801
  <thead><tr><th>flow MSE @ fixed &tau;</th><th>&tau;=0.8</th><th>&tau;=0.6</th><th>&tau;=0.4</th><th>&tau;=0.2</th><th>&tau;=0.05</th></tr></thead>
1802
- <tbody><tr><td><span class="chip"><span class="vs vs-full"></span>&nbsp;A &middot; action</span></td><td class="shape">0.139</td><td class="shape">0.204</td><td class="shape">0.399</td><td class="shape">0.752</td><td class="shape">1.076</td></tr><tr><td><span class="chip"><span class="vs vs-notrack"></span>&nbsp;B &middot; action</span></td><td class="shape">0.124</td><td class="shape">0.191</td><td class="shape">0.388</td><td class="shape">0.745</td><td class="shape">1.078</td></tr><tr><td><span class="chip"><span class="vs vs-full"></span>&nbsp;A &middot; dynamics</span></td><td class="shape">0.215</td><td class="shape">0.280</td><td class="shape">0.414</td><td class="shape">0.724</td><td class="shape">1.131</td></tr><tr><td><span class="chip"><span class="vs vs-notrack"></span>&nbsp;B &middot; dynamics</span></td><td class="shape">0.178</td><td class="shape">0.229</td><td class="shape">0.341</td><td class="shape">0.628</td><td class="shape">1.064</td></tr></tbody>
1803
  </table>
1804
  </div>
1805
- <figure><svg viewBox="0 0 640 146" role="img" aria-label="Stage-1: where action queries attend (mass share)">
 
 
 
 
 
 
 
 
 
1806
  <text class="th" x="0" y="14">Stage-1: where action queries attend (mass share)</text>
1807
  <text class="t" x="102" y="39" text-anchor="end">A · layer 0</text>
1808
  <rect class="sg-cond" x="110.0" y="26" width="12.6" height="18" rx="3"></rect>
@@ -1841,8 +1868,59 @@
1841
  <rect class="sg-act" x="290.0" y="110" width="331.7" height="18" rx="3"></rect>
1842
  <text class="ts" x="456.9" y="123" text-anchor="middle">64%</text>
1843
  <rect class="sg-st" x="623.7" y="110" width="2.3" height="18" rx="3"></rect>
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1844
  </svg><figcaption><b>Figure A3 &mdash; Stage-1 attention routing.</b> Share of self-attention mass from action queries onto each token group at &tau;=0.4 (mean over heads/blocks).</figcaption></figure>
1845
- <figure><svg viewBox="0 0 640 90" role="img" aria-label="Stage-2: where action queries attend (mass share)">
 
 
 
 
 
 
 
 
1846
  <text class="th" x="0" y="14">Stage-2: where action queries attend (mass share)</text>
1847
  <text class="t" x="102" y="39" text-anchor="end">A · L0–L5 mean</text>
1848
  <rect class="sg-act" x="110.0" y="26" width="12.3" height="18" rx="3"></rect>
@@ -1859,6 +1937,13 @@
1859
  <text class="ts" x="295.1" y="67" text-anchor="middle">10%</text>
1860
  <rect class="sg-mem" x="321.7" y="54" width="304.3" height="18" rx="3"></rect>
1861
  <text class="ts" x="474.8" y="67" text-anchor="middle">59%</text>
 
 
 
 
 
 
 
1862
  </svg><figcaption><b>Figure A4 &mdash; Stage-2 attention routing.</b> Action-query mass over F6 / VQ-history / deform / coarse-memory tokens during real cascaded refinement.</figcaption></figure>
1863
 
1864
  <div class="tbl-wrap">
@@ -1866,9 +1951,52 @@
1866
  <thead><tr><th>Tactile sensitivity (normalized units)</th>
1867
  <th>mean |&Delta;a| tactile vs masked</th><th>max |&Delta;a|</th>
1868
  <th>mean |refinement|</th></tr></thead>
1869
- <tbody><tr><td><span class="chip"><span class="vs vs-full"></span>&nbsp;A · full (track+force)</span></td><td class="shape">0.0141</td><td class="shape">0.0664</td><td class="shape">0.2452</td></tr><tr><td><span class="chip"><span class="vs vs-notrack"></span>&nbsp;B · no track</span></td><td class="shape">0.0256</td><td class="shape">0.1309</td><td class="shape">0.2472</td></tr></tbody>
1870
  </table>
1871
  </div>
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1872
 
1873
  </section>
1874
  </div>
 
1686
  <circle class="vdot v-full" cx="508.5" cy="198.1" r="3.5"></circle>
1687
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1688
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  </svg></div>
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  <div><svg viewBox="0 0 520 230" role="img" aria-label="force flow MSE">
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  <text class="th" x="46" y="15">force flow MSE</text>
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1766
+ <circle class="vdot v-deform" cx="508.5" cy="199.4" r="3.5"></circle>
1767
  </svg></div>
1768
  </div>
1769
  <figcaption><b>Figure A1 &mdash; Same-step training loss convergence.</b>
 
1779
  <th>dynamics</th><th>track</th><th>force</th></tr></thead>
1780
  <tbody><tr><td><span class="chip"><span class="vs vs-full"></span>&nbsp;A · full (track+force)</span></td><td class="shape">0.2819</td><td class="shape">0.3325</td><td class="shape">0.1501</td><td class="shape">0.6187</td></tr>
1781
  <tr><td><span class="chip"><span class="vs vs-notrack"></span>&nbsp;B · no track</span></td><td class="shape">0.2749</td><td class="shape">0.2837</td><td class="shape">&mdash;</td><td class="shape">0.7535</td></tr>
1782
+ <tr><td><span class="chip"><span class="vs vs-noforce"></span>&nbsp;C · no force stage</span></td><td class="shape">0.2979</td><td class="shape">0.3479</td><td class="shape">0.1511</td><td class="shape">&mdash;</td></tr>
1783
+ <tr><td><span class="chip"><span class="vs vs-deform"></span>&nbsp;D · deform tactile + force</span></td><td class="shape">0.2818</td><td class="shape">0.3320</td><td class="shape">0.1514</td><td class="shape">0.6145</td></tr></tbody>
1784
  </table>
1785
  </div>
1786
  <h3>Controlled evaluation on frozen checkpoints</h3>
 
1789
  (<code>scripts/eval/trex_ablation_eval.py</code>). Open-loop: each variant
1790
  runs its own full sampling loop from pure noise on 16 anchors and is scored
1791
  against the ground-truth normalized delta-base chunk.</p></div>
1792
+ <figure><svg viewBox="0 0 560 222" role="img" aria-label="open-loop action MSE ↓ (16 anchors, normalized 62-D)">
1793
  <text class="th" x="0" y="14">open-loop action MSE ↓ (16 anchors, normalized 62-D)</text>
1794
  <text class="t" x="232" y="39" text-anchor="end">A · cascade (+force stage)</text>
1795
  <rect class="v-full" x="240" y="26" width="133.1" height="16" rx="3"></rect>
 
1801
  <rect class="v-notrack" x="240" y="82" width="149.0" height="16" rx="3"></rect>
1802
  <text class="ts" x="395.0" y="95">0.230</text>
1803
  <text class="t" x="232" y="123" text-anchor="end">B · coarse only</text>
1804
+ <rect class="v-notrack vfaded" x="240" y="110" width="248.3" height="16" rx="3"></rect>
1805
+ <text class="ts" x="494.3" y="123">0.383</text>
1806
+ <text class="t" x="232" y="151" text-anchor="end">C · coarse only</text>
1807
+ <rect class="v-noforce vfaded" x="240" y="138" width="245.7" height="16" rx="3"></rect>
1808
+ <text class="ts" x="491.7" y="151">0.379</text>
1809
+ <text class="t" x="232" y="179" text-anchor="end">D · cascade (+force stage)</text>
1810
+ <rect class="v-deform" x="240" y="166" width="130.6" height="16" rx="3"></rect>
1811
+ <text class="ts" x="376.6" y="179">0.202</text>
1812
+ <text class="t" x="232" y="207" text-anchor="end">D · coarse only</text>
1813
+ <rect class="v-deform vfaded" x="240" y="194" width="250.0" height="16" rx="3"></rect>
1814
+ <text class="ts" x="496.0" y="207">0.386</text>
1815
  </svg><figcaption><b>Figure A2 &mdash; Open-loop reconstruction.</b> Faded bars: the coarse action read out at &tau;=0 without tactile refinement (for C this is its only mode). Solid bars: the full cascade.</figcaption></figure>
1816
 
1817
  <div class="tbl-wrap">
1818
  <table>
1819
  <thead><tr><th>flow MSE @ fixed &tau;</th><th>&tau;=0.8</th><th>&tau;=0.6</th><th>&tau;=0.4</th><th>&tau;=0.2</th><th>&tau;=0.05</th></tr></thead>
1820
+ <tbody><tr><td><span class="chip"><span class="vs vs-full"></span>&nbsp;A &middot; action</span></td><td class="shape">0.139</td><td class="shape">0.204</td><td class="shape">0.399</td><td class="shape">0.752</td><td class="shape">1.076</td></tr><tr><td><span class="chip"><span class="vs vs-notrack"></span>&nbsp;B &middot; action</span></td><td class="shape">0.124</td><td class="shape">0.191</td><td class="shape">0.388</td><td class="shape">0.745</td><td class="shape">1.078</td></tr><tr><td><span class="chip"><span class="vs vs-noforce"></span>&nbsp;C &middot; action</span></td><td class="shape">0.135</td><td class="shape">0.201</td><td class="shape">0.396</td><td class="shape">0.744</td><td class="shape">1.085</td></tr><tr><td><span class="chip"><span class="vs vs-deform"></span>&nbsp;D &middot; action</span></td><td class="shape">0.140</td><td class="shape">0.205</td><td class="shape">0.398</td><td class="shape">0.754</td><td class="shape">1.071</td></tr><tr><td><span class="chip"><span class="vs vs-full"></span>&nbsp;A &middot; dynamics</span></td><td class="shape">0.215</td><td class="shape">0.280</td><td class="shape">0.414</td><td class="shape">0.724</td><td class="shape">1.131</td></tr><tr><td><span class="chip"><span class="vs vs-notrack"></span>&nbsp;B &middot; dynamics</span></td><td class="shape">0.178</td><td class="shape">0.229</td><td class="shape">0.341</td><td class="shape">0.628</td><td class="shape">1.064</td></tr><tr><td><span class="chip"><span class="vs vs-noforce"></span>&nbsp;C &middot; dynamics</span></td><td class="shape">0.214</td><td class="shape">0.279</td><td class="shape">0.413</td><td class="shape">0.722</td><td class="shape">1.128</td></tr><tr><td><span class="chip"><span class="vs vs-deform"></span>&nbsp;D &middot; dynamics</span></td><td class="shape">0.214</td><td class="shape">0.279</td><td class="shape">0.413</td><td class="shape">0.723</td><td class="shape">1.129</td></tr></tbody>
1821
  </table>
1822
  </div>
1823
+ <figure>
1824
+ <div class="legend" role="list" aria-label="Stage-1 key token groups">
1825
+ <span class="k"><span class="sw" style="background:var(--c-obs);border-color:var(--c-obs);opacity:.45"></span>cond obs</span>
1826
+ <span class="k"><span class="sw" style="background:var(--c-obs);border-color:var(--c-obs)"></span>obs</span>
1827
+ <span class="k"><span class="sw" style="background:var(--c-act);border-color:var(--c-act)"></span>action</span>
1828
+ <span class="k"><span class="sw" style="background:var(--c-st);border-color:var(--c-st)"></span>state</span>
1829
+ <span class="k"><span class="sw" style="background:var(--c-trk);border-color:var(--c-trk)"></span>track past</span>
1830
+ <span class="k"><span class="sw" style="background:var(--c-trk);border-color:var(--c-trk);opacity:.45"></span>track future</span>
1831
+ </div>
1832
+ <svg viewBox="0 0 640 258" role="img" aria-label="Stage-1: where action queries attend (mass share)">
1833
  <text class="th" x="0" y="14">Stage-1: where action queries attend (mass share)</text>
1834
  <text class="t" x="102" y="39" text-anchor="end">A · layer 0</text>
1835
  <rect class="sg-cond" x="110.0" y="26" width="12.6" height="18" rx="3"></rect>
 
1868
  <rect class="sg-act" x="290.0" y="110" width="331.7" height="18" rx="3"></rect>
1869
  <text class="ts" x="456.9" y="123" text-anchor="middle">64%</text>
1870
  <rect class="sg-st" x="623.7" y="110" width="2.3" height="18" rx="3"></rect>
1871
+ <text class="t" x="102" y="151" text-anchor="end">C · layer 0</text>
1872
+ <rect class="sg-cond" x="110.0" y="138" width="13.3" height="18" rx="3"></rect>
1873
+ <rect class="sg-obs" x="125.3" y="138" width="54.3" height="18" rx="3"></rect>
1874
+ <text class="ts" x="153.4" y="151" text-anchor="middle">11%</text>
1875
+ <rect class="sg-act" x="181.5" y="138" width="27.9" height="18" rx="3"></rect>
1876
+ <rect class="sg-st" x="211.4" y="138" width="0.5" height="18" rx="3"></rect>
1877
+ <rect class="sg-trkp" x="212.4" y="138" width="235.9" height="18" rx="3"></rect>
1878
+ <text class="ts" x="331.4" y="151" text-anchor="middle">46%</text>
1879
+ <rect class="sg-trkf" x="450.3" y="138" width="175.7" height="18" rx="3"></rect>
1880
+ <text class="ts" x="539.2" y="151" text-anchor="middle">34%</text>
1881
+ <text class="t" x="102" y="179" text-anchor="end">C · layer 29</text>
1882
+ <rect class="sg-cond" x="110.0" y="166" width="24.7" height="18" rx="3"></rect>
1883
+ <rect class="sg-obs" x="136.7" y="166" width="47.5" height="18" rx="3"></rect>
1884
+ <text class="ts" x="161.5" y="179" text-anchor="middle">10%</text>
1885
+ <rect class="sg-act" x="186.2" y="166" width="96.8" height="18" rx="3"></rect>
1886
+ <text class="ts" x="235.7" y="179" text-anchor="middle">19%</text>
1887
+ <rect class="sg-st" x="285.1" y="166" width="0.5" height="18" rx="3"></rect>
1888
+ <rect class="sg-trkp" x="286.3" y="166" width="298.6" height="18" rx="3"></rect>
1889
+ <text class="ts" x="436.6" y="179" text-anchor="middle">58%</text>
1890
+ <rect class="sg-trkf" x="586.9" y="166" width="39.1" height="18" rx="3"></rect>
1891
+ <text class="ts" x="607.4" y="179" text-anchor="middle">8%</text>
1892
+ <text class="t" x="102" y="207" text-anchor="end">D · layer 0</text>
1893
+ <rect class="sg-cond" x="110.0" y="194" width="12.0" height="18" rx="3"></rect>
1894
+ <rect class="sg-obs" x="124.0" y="194" width="50.1" height="18" rx="3"></rect>
1895
+ <text class="ts" x="150.0" y="207" text-anchor="middle">10%</text>
1896
+ <rect class="sg-act" x="176.1" y="194" width="33.0" height="18" rx="3"></rect>
1897
+ <text class="ts" x="193.6" y="207" text-anchor="middle">7%</text>
1898
+ <rect class="sg-st" x="211.1" y="194" width="0.5" height="18" rx="3"></rect>
1899
+ <rect class="sg-trkp" x="211.8" y="194" width="233.0" height="18" rx="3"></rect>
1900
+ <text class="ts" x="329.3" y="207" text-anchor="middle">45%</text>
1901
+ <rect class="sg-trkf" x="446.8" y="194" width="179.2" height="18" rx="3"></rect>
1902
+ <text class="ts" x="537.4" y="207" text-anchor="middle">35%</text>
1903
+ <text class="t" x="102" y="235" text-anchor="end">D · layer 29</text>
1904
+ <rect class="sg-cond" x="110.0" y="222" width="25.2" height="18" rx="3"></rect>
1905
+ <rect class="sg-obs" x="137.2" y="222" width="48.6" height="18" rx="3"></rect>
1906
+ <text class="ts" x="162.5" y="235" text-anchor="middle">10%</text>
1907
+ <rect class="sg-act" x="187.7" y="222" width="89.7" height="18" rx="3"></rect>
1908
+ <text class="ts" x="233.6" y="235" text-anchor="middle">18%</text>
1909
+ <rect class="sg-st" x="279.4" y="222" width="0.5" height="18" rx="3"></rect>
1910
+ <rect class="sg-trkp" x="280.9" y="222" width="301.5" height="18" rx="3"></rect>
1911
+ <text class="ts" x="432.7" y="235" text-anchor="middle">59%</text>
1912
+ <rect class="sg-trkf" x="584.4" y="222" width="41.6" height="18" rx="3"></rect>
1913
+ <text class="ts" x="606.2" y="235" text-anchor="middle">8%</text>
1914
  </svg><figcaption><b>Figure A3 &mdash; Stage-1 attention routing.</b> Share of self-attention mass from action queries onto each token group at &tau;=0.4 (mean over heads/blocks).</figcaption></figure>
1915
+ <figure>
1916
+ <div class="legend" role="list" aria-label="Stage-2 key token groups">
1917
+ <span class="k"><span class="sw" style="background:var(--c-act);border-color:var(--c-act)"></span>action</span>
1918
+ <span class="k"><span class="sw" style="background:var(--c-frc);border-color:var(--c-frc)"></span>F6 now</span>
1919
+ <span class="k"><span class="sw" style="background:var(--c-frc);border-color:var(--c-frc);opacity:.45"></span>VQ history</span>
1920
+ <span class="k"><span class="sw" style="background:var(--c-frc);border-color:var(--c-frc);opacity:.7"></span>deform</span>
1921
+ <span class="k"><span class="sw" style="background:var(--c-mem);border-color:var(--c-mem)"></span>coarse memory</span>
1922
+ </div>
1923
+ <svg viewBox="0 0 640 118" role="img" aria-label="Stage-2: where action queries attend (mass share)">
1924
  <text class="th" x="0" y="14">Stage-2: where action queries attend (mass share)</text>
1925
  <text class="t" x="102" y="39" text-anchor="end">A · L0–L5 mean</text>
1926
  <rect class="sg-act" x="110.0" y="26" width="12.3" height="18" rx="3"></rect>
 
1937
  <text class="ts" x="295.1" y="67" text-anchor="middle">10%</text>
1938
  <rect class="sg-mem" x="321.7" y="54" width="304.3" height="18" rx="3"></rect>
1939
  <text class="ts" x="474.8" y="67" text-anchor="middle">59%</text>
1940
+ <text class="t" x="102" y="95" text-anchor="end">D · L0–L5 mean</text>
1941
+ <rect class="sg-act" x="110.0" y="82" width="11.4" height="18" rx="3"></rect>
1942
+ <rect class="sg-f6" x="123.4" y="82" width="5.4" height="18" rx="3"></rect>
1943
+ <rect class="sg-vq" x="130.8" y="82" width="6.2" height="18" rx="3"></rect>
1944
+ <rect class="sg-deform" x="139.0" y="82" width="6.4" height="18" rx="3"></rect>
1945
+ <rect class="sg-mem" x="147.4" y="82" width="478.6" height="18" rx="3"></rect>
1946
+ <text class="ts" x="387.7" y="95" text-anchor="middle">93%</text>
1947
  </svg><figcaption><b>Figure A4 &mdash; Stage-2 attention routing.</b> Action-query mass over F6 / VQ-history / deform / coarse-memory tokens during real cascaded refinement.</figcaption></figure>
1948
 
1949
  <div class="tbl-wrap">
 
1951
  <thead><tr><th>Tactile sensitivity (normalized units)</th>
1952
  <th>mean |&Delta;a| tactile vs masked</th><th>max |&Delta;a|</th>
1953
  <th>mean |refinement|</th></tr></thead>
1954
+ <tbody><tr><td><span class="chip"><span class="vs vs-full"></span>&nbsp;A · full (track+force)</span></td><td class="shape">0.0141</td><td class="shape">0.0664</td><td class="shape">0.2452</td></tr><tr><td><span class="chip"><span class="vs vs-notrack"></span>&nbsp;B · no track</span></td><td class="shape">0.0256</td><td class="shape">0.1309</td><td class="shape">0.2472</td></tr><tr><td><span class="chip"><span class="vs vs-deform"></span>&nbsp;D · deform tactile + force</span></td><td class="shape">0.0131</td><td class="shape">0.0547</td><td class="shape">0.2472</td></tr></tbody>
1955
  </table>
1956
  </div>
1957
+ <h3>What the three questions get answered</h3>
1958
+ <div class="prose">
1959
+ <p><b>1 &middot; Do the track tokens help?</b> Yes &mdash; and the mechanism is
1960
+ visible. With identical budgets, removing the track pathway leaves the
1961
+ single-step action flow MSE almost unchanged (0.745 vs 0.752 at &tau;=0.2)
1962
+ but costs <b>+12% open-loop cascade error</b> (0.230 vs 0.205, paired
1963
+ +0.0245&thinsp;&plusmn;&thinsp;0.0033 over the same 16 anchors and seeds), with the
1964
+ largest hit on the hand dimensions (+19%). The routing explains why: in the
1965
+ full model the action queries put <b>~80% of their self-attention mass on
1966
+ track tokens</b> (past + future), so the plan flows through the geometric
1967
+ pathway; without it they fall back onto raw observation patches and
1968
+ themselves. The loss also propagates downstream &mdash; the force stage reads a
1969
+ poorer coarse memory and its flow MSE degrades from 0.643 to 0.778, while
1970
+ its reliance on tactile tokens roughly triples (attention mass 13&ndash;15% vs
1971
+ 4&ndash;5%; tactile sensitivity 0.026 vs 0.014) to compensate.</p>
1972
+ <p><b>2 &middot; Does the force stage earn its place as an output?</b> This is
1973
+ the largest effect in the study. Running the tactile refinement cuts
1974
+ open-loop action error <b>almost in half</b>: 0.386 &rarr; 0.205 (paired
1975
+ &minus;0.1805&thinsp;&plusmn;&thinsp;0.0077), and on the hand dimensions from 0.371 to
1976
+ 0.170 (&minus;54%). Critically, variant C&rsquo;s coarse model &mdash; trained without
1977
+ any force stage &mdash; performs the same as A&rsquo;s coarse readout
1978
+ (0.379 vs 0.386), so the gain is produced by the refinement stage itself,
1979
+ not by a training side-effect on the world model. The low-noise segment
1980
+ &tau;&thinsp;&isin;&thinsp;(0, 0.4] is simply better served by a small,
1981
+ tactile-conditioned expert than by six more Euler steps of the 5B coarse
1982
+ model.</p>
1983
+ <p><b>3 &middot; F6 alone vs deformation tactile + F6?</b> Adding ten per-finger
1984
+ deformation-image tokens gives a small but consistent further gain:
1985
+ open-loop cascade 0.2016 vs 0.2054 (paired &minus;0.0038&thinsp;&plusmn;&thinsp;0.0015),
1986
+ with the force-stage flow MSE edging from 0.643 to 0.639 and training force
1987
+ loss from 0.64 to 0.61. The refiner does read the new tokens &mdash; they
1988
+ receive the same attention mass as each existing tactile stream
1989
+ (&asymp;1.6%, vs F6 1.4% and VQ 1.6%) &mdash; but coarse memory still dominates
1990
+ at ~93%. On a single-episode overfit benchmark the headroom above F6 is
1991
+ inherently small; the direction of every metric favors deformation input,
1992
+ and the honest read is &ldquo;cheap to add, consistently non-negative,
1993
+ needs multi-episode training to show its real value.&rdquo;</p>
1994
+ <p style="font-size:13.5px;color:var(--muted);">Scope note: all runs overfit
1995
+ one 902-frame episode (~537 anchors) for 3,000 steps; the comparisons
1996
+ isolate representation and architecture effects under identical budgets,
1997
+ not generalization. The 4-GPU 20k-step production run of the full model is
1998
+ reported separately above.</p>
1999
+ </div>
2000
 
2001
  </section>
2002
  </div>