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  • ๐Ÿ” Ping Review
  • ๐Ÿ”” Ring Review
    • ํ•œ ์ค„๋กœ ์‹œ์ž‘ํ•˜๋ฉด
    • ๋ฐฐ๊ฒฝ: ์‚ฌ๋žŒ ์˜์ƒ์˜ trade-off (ยง1ยทยง2)
    • ๋ฐฉ๋ฒ• ์ƒ์„ธ 1: Chain-of-Dynamics (ยง3.1ยทยง3.2, ๋ถ€๋ก A.1ยทA.2)
    • ๋ฐฉ๋ฒ• ์ƒ์„ธ 2: CoD-conditioned future imagination (ยง3.2, ๋ถ€๋ก A.1ยทA.5)
    • ๋ฐฉ๋ฒ• ์ƒ์„ธ 3: world-imagination RL (ยง3.3, ๋ถ€๋ก A.6)
    • ๊ตฌํ˜„: ๋ชจ๋ธยท๋ฐ์ดํ„ฐยทํ•™์Šต ์ˆœ์„œ (ยง4.1, ๋ถ€๋ก A.1ยทA.3ยทA.4)
    • ์ง๊ด€: ์‹คํ–‰๋˜์ง€ ์•Š๋Š” ์ƒ๊ฐ์ด ๋ฌด์—‡์„ ๋ฐ”๊พธ๋Š”๊ฐ€
    • ์‹คํ—˜ 1: ์‹ค๊ธฐ ์ผ๋ฐ˜ํ™” (ยง4.2, Fig. 3, ํ‘œ 6, ๋ถ€๋ก B.2ยทB.3ยทC.1)
    • ์‹คํ—˜ 2: ์‚ฌ๋žŒ ์˜์ƒ์—์„œ skill composition (ยง4.3, Fig. 4, ๋ถ€๋ก B.3ยทC.1, Fig. 11)
    • ์‹คํ—˜ 3: LIBERO์™€ LIBERO-PRO (ยง4.4, ํ‘œ 1, ๋ถ€๋ก B.1)
    • ์‹คํ—˜ 4: ๋ถ„์„ (ยง4.5, Fig. 5~8, ํ‘œ 2ยท3)
      • CoD์˜ cross-embodiment ๊ตฌ์กฐ (Fig. 5)
      • ์‚ฌ๋žŒ ๋ฐ์ดํ„ฐ์˜ ํšจ๊ณผ (Fig. 6)
      • CoD๊ฐ€ ๋ฏธ๋ž˜ ์˜ˆ์ธก์— ํ•˜๋Š” ์ผ (Fig. 7, ํ‘œ 2, ๋ถ€๋ก Fig. 12)
      • attention (Fig. 8)
      • ๊ตฌ์„ฑ์š”์†Œ ์ ˆ์ œ (ํ‘œ 3)
    • ์‹คํ—˜ 5: ๋ถ€๋ก์˜ ์ถ”๊ฐ€ ๊ฒฐ๊ณผ (๋ถ€๋ก C.3~C.5)
    • ๋น„ํŒ์ ์œผ๋กœ ๋ณด๋ฉด
      • ๊ฐ•์ 
      • ์•ฝ์ ยทํ•œ๊ณ„
    • ๊ด€๋ จ ์—ฐ๊ตฌ์™€์˜ ์ž๋ฆฌ ๋งค๊น€
    • ์š”์•ฝ
    • ์ด ๊ธ€์— ๋Œ€ํ•ด

๐Ÿ“ƒThinkWorld ๋ฆฌ๋ทฐ

vla
world-model
human-video
cross-embodiment
rl
ThinkWorld: World Imagination Reinforces Chain-of-Dynamics Reasoning
Published

November 3, 2026

  • Paper Link (arXiv:2610.37666)

  • Project

  • Chaehyun Kim, Chi-Pin Huang, Jisoo Kim, Min-Hung Chen, Yu-Chiang Frank Wang, Seungryong Kim, Fu-En Yang

  • NVIDIA ยท KAIST / arXiv preprint (cs.RO), 2026 (v1)

  1. ๐Ÿ’ก ์‚ฌ๋žŒ ์˜์ƒ์€ ๋กœ๋ด‡ ๋ฐ์ดํ„ฐ๋ณด๋‹ค ํ›จ์”ฌ ๋‹ค์–‘ํ•˜์ง€๋งŒ ์‹คํ–‰ ๊ฐ€๋Šฅํ•œ action์ด ์—†๋‹ค. ThinkWorld๋Š” VLA์˜ ์ค‘๊ฐ„ โ€œ์ƒ๊ฐโ€์„ ์‚ฌ๋žŒ ์†๋ชฉ๊ณผ ๋กœ๋ด‡ end-effector๊ฐ€ ๊ณต์œ ํ•˜๋Š” discrete motion token ์—ด(Chain-of-Dynamics, CoD)๋กœ ๋‘๊ณ , ๊ทธ CoD๊ฐ€ ๋งŒ๋“ค 1์ดˆ ๋’ค ์žฅ๋ฉด์„ DINOv3 feature๋กœ ์ƒ์ƒํ•˜๊ฒŒ ํ•œ ๋‹ค์Œ, ์ƒ์ƒ์ด ์‹ค์ œ ๋ฏธ๋ž˜์™€ ๋งž๋Š” CoD์— RL ๋ณด์ƒ์„ ์ค€๋‹ค.
  2. โš™๏ธ Qwen3-VL-2B๊ฐ€ CoD๋ฅผ ์ƒ์„ฑํ•˜๊ณ  64๊ฐœ future query๋กœ ๋ฏธ๋ž˜ DINOv3 patch feature๋ฅผ ์˜ˆ์ธกํ•˜๋„๋ก SFTํ•œ ๋’ค, CoD 4๊ฐœ๋ฅผ ์ƒ˜ํ”Œ๋งํ•ด โ€œ์ƒ์ƒํ•œ ๋ฏธ๋ž˜ vs ๊ด€์ธกํ•œ ๋ฏธ๋ž˜โ€์˜ motion-weighted cosine์„ ๋ณด์ƒ์œผ๋กœ GRPO๋ฅผ ๋Œ๋ฆฐ๋‹ค. ์—ฐ์† action์€ MolmoAct2์—์„œ ๊ฐ€์ ธ์˜จ action expert๊ฐ€ VLM์˜ ์ž…๋ ฅ ํ† ํฐ KV๋งŒ ๋ณด๊ณ  ๋งŒ๋“ ๋‹ค. ๊ทธ๋ž˜์„œ ๋ฐฐํฌ ๋•Œ๋Š” CoD๋„ ์ƒ์ƒ๋„ ์ƒ์„ฑํ•˜์ง€ ์•Š๋Š”๋‹ค.
  3. ๐ŸŽฏ bimanual YAM ์‹ค๊ธฐ 3๊ณผ์ œ์—์„œ in-domain 60/60, OOD 52/60(๊ฐ€์žฅ ๊ฐ•ํ•œ ๋ฒ ์ด์Šค๋ผ์ธ MolmoAct2๋Š” 47/60, 25/60), LIBERO ํ‰๊ท  97.3%, LIBERO-PRO ํ‰๊ท  55.6%๋ฅผ ๋ณด๊ณ ํ•œ๋‹ค. ๋‹ค๋งŒ ํ•™์Šต ์‹œ๋“œ๋Š” 1๊ฐœ์ด๊ณ , ๊ตฌ์„ฑ์š”์†Œ ์ ˆ์ œ์—์„œ RL์˜ ๋ชซ์€ LIBERO-PRO +1.2%p๋‹ค. โ€œ๋ผ๋ฒจ ์—†๋Š” ์˜์ƒ์œผ๋กœ ๋ฐฐ์šด๋‹คโ€๋Š” ๊ธฐ๋Šฅ์€ RL ๋‹จ๊ณ„์—์„œ ์‹ค์ œ๋กœ ๋ผ๋ฒจ ์—†๋Š” ๋ฐ์ดํ„ฐ๋ฅผ ์“ด ์‹คํ—˜์ด ์—†๋‹ค.

๐Ÿ” Ping Review

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์‚ฌ๋žŒ ์˜์ƒ์„ ๋กœ๋ด‡ ํ•™์Šต์— ์“ฐ๋Š” ๋ฐฉ๋ฒ•์€ ํฌ๊ฒŒ ๋‘ ๊ฐˆ๋ž˜๋‹ค. latent action ๋ชจ๋ธ์€ ํ”„๋ ˆ์ž„ ์Œ์—์„œ action ๊ฐ™์€ ๋ณ€์ˆ˜๋ฅผ ๋ฝ‘์•„ ๋ผ๋ฒจ ์—†๋Š” ์˜์ƒ ์ „์ฒด๋กœ ํ™•์žฅ๋˜์ง€๋งŒ, ๊ทธ ๋ณ€์ˆ˜๊ฐ€ ์นด๋ฉ”๋ผ ์›€์ง์ž„์ด๋‚˜ ์™ธํ˜• ๋ณ€ํ™”๋ฅผ ๋‹ด์„ ์œ„ํ—˜์ด ์žˆ๋‹ค. ๋ฐ˜๋Œ€ํŽธ์€ ์† ์ž์„ธ๋ฅผ ์ถ”์ •ํ•˜๊ณ  ๋ฆฌํƒ€๊ฒŒํŒ…ํ•ด ๋ช…์‹œ์  motion์„ ๊ฐ๋… ์‹ ํ˜ธ๋กœ ์“ฐ๋Š”๋ฐ, ๋ฌผ๋ฆฌ์ ์œผ๋กœ ๋‹จ๋‹จํ•œ ๋Œ€์‹  ์ž์„ธ ์ถ”์ •๊ณผ ์‚ฌ๋žŒ-๋กœ๋ด‡ ๋Œ€์‘์— ๊ธฐ๋Œ€์•ผ ํ•œ๋‹ค. ThinkWorld๋Š” ์ด ์‚ฌ์ด์—์„œ โ€œ๋ชจ๋“  ์˜์ƒ์€ ํ–‰๋™์˜ ๊ฒฐ๊ณผ(๋ฏธ๋ž˜ ์žฅ๋ฉด)๋ฅผ ๊ธฐ๋กํ•œ๋‹คโ€๋Š” ์ ์„ ๊ฐ๋… ์‹ ํ˜ธ๋กœ ์“ฐ์ž๊ณ  ์ œ์•ˆํ•œ๋‹ค.

๋ฐฉ๋ฒ•์€ ์„ธ ์กฐ๊ฐ์ด๋‹ค. (1) ๋กœ๋ด‡ action๊ณผ ์‚ฌ๋žŒ ์†๋ชฉ ๊ถค์ ์„ ๊ฐ™์€ delta end-effector ํ‘œํ˜„์œผ๋กœ ๋ฐ”๊พธ๊ณ  FAST์‹ tokenizer๋กœ 2,048๊ฐœ ์–ดํœ˜์˜ discrete token ์—ด๋กœ ๋งŒ๋“ ๋‹ค. ์ด๊ฒƒ์ด CoD๋‹ค. (2) VLM์ด CoD๋ฅผ ์ƒ์„ฑํ•˜๋„๋ก SFTํ•˜๋ฉด์„œ, CoD ๋’ค์— ๋ถ™์ธ future query๋กœ 1์ดˆ ๋’ค main camera ์žฅ๋ฉด์˜ DINOv3 feature๋ฅผ ์˜ˆ์ธกํ•˜๊ฒŒ ํ•œ๋‹ค. (3) ๊ฐ™์€ ์žฅ๋ฉด์—์„œ CoD๋ฅผ ์—ฌ๋Ÿฌ ๊ฐœ ์ƒ˜ํ”Œ๋งํ•˜๊ณ , ๊ฐ CoD๋กœ ์ƒ์ƒํ•œ ๋ฏธ๋ž˜๊ฐ€ ์‹ค์ œ ๋ฏธ๋ž˜์™€ ์–ผ๋งˆ๋‚˜ ๋‹ฎ์•˜๋Š”์ง€๋ฅผ ๋ณด์ƒ์œผ๋กœ VLM์„ GRPO๋กœ ๊ฐ•ํ™”ํ•œ๋‹ค. ์‹ค์ œ ๋ฏธ๋ž˜ ํ”„๋ ˆ์ž„๋งŒ ์žˆ์œผ๋ฉด ๋ณด์ƒ์„ ๊ณ„์‚ฐํ•  ์ˆ˜ ์žˆ์œผ๋ฏ€๋กœ ์ €์ž๋“ค์€ ์ด ๋‹จ๊ณ„๊ฐ€ action ๋ผ๋ฒจ ์—†๋Š” ์˜์ƒ์œผ๋กœ ํ™•์žฅ๋œ๋‹ค๊ณ  ์ฃผ์žฅํ•œ๋‹ค.


ํ”„๋กœ์ ํŠธ ํŽ˜์ด์ง€ teaser ์˜์ƒ(์•ฝ 2๋ถ„, ๋ฌด์Œ). skill composition ๋ฐ๋ชจ, world-imagination RL ๊ฐœ์š”, CoD attention, ์‹ค๊ธฐ OOD ๋น„๊ต, LIBERO-PRO rollout์ด ์ด์–ด์ง„๋‹ค. ์˜์ƒ ์•ž๋ถ€๋ถ„์˜ "์˜ค๋ธ์—์„œ ์™•๊ด€์„ ๊บผ๋‚ด ๊ณฐ ์ธํ˜• ๋จธ๋ฆฌ์— ์”Œ์šฐ๊ธฐ" ์กฐํ•ฉ ๊ณผ์ œ๋Š” ๋…ผ๋ฌธ์— ๋‚˜์˜ค์ง€ ์•Š๋Š” ์‹œ์—ฐ์œผ๋กœ, ์ •๋Ÿ‰ ํ‰๊ฐ€๊ฐ€ ์—†๋‹ค.

Fig. 1. ์™ผ์ชฝ: ํ•™์Šต์— ์“ด ์‚ฌ๋žŒ egocentric ์˜์ƒ(EgoDex, EgoVerse)๊ณผ ๋กœ๋ด‡ ๋ฐ๋ชจ(DROID, RoboCOIN, RT-1, Bimanual YAM ๋“ฑ). ๊ฐ€์šด๋ฐ: ์‚ฌ๋žŒ๊ณผ ๋กœ๋ด‡์˜ motion์„ ํ•˜๋‚˜์˜ motion ๊ณต๊ฐ„์— ๋‘๊ณ (CoD), ๊ทธ CoD๊ฐ€ ๋งŒ๋“ค ๋ฏธ๋ž˜๋ฅผ ์ƒ์ƒํ•˜๋ฉฐ, ์ƒ์ƒ๊ณผ ์‹ค์ œ ๋ฏธ๋ž˜๋ฅผ ๋น„๊ตํ•œ ๋ณด์ƒ์œผ๋กœ RL์„ ๋Œ๋ฆฐ๋‹ค. ์˜ค๋ฅธ์ชฝ: ์‹ค๊ธฐ ID/OOD ํ‰๊ท  ์„ฑ๊ณต๋ฅ ๊ณผ ์‚ฌ๋žŒ ์˜์ƒ์„ ํ†ตํ•œ skill composition.

ํ•ต์‹ฌ ๋ฐฉ๋ฒ•๋ก :

VLM์— ์ง€์‹œ๋ฌธ l, history ํ”„๋ ˆ์ž„ \mathbf{h}_t, ํ˜„์žฌ ๊ด€์ธก o_t, ๊ทธ๋ฆฌ๊ณ  ์ •๋‹ต CoD \mathbf{c}_t^\star๋ฅผ teacher forcing์œผ๋กœ ๋„ฃ๊ณ , ๋’ค์— ๋ถ™์ธ future query \mathbf{q}_{t+\Delta}์˜ ์ถœ๋ ฅ์„ decoder๋กœ ๋ฏธ๋ž˜ feature๋กœ ๋ฐ”๊พผ๋‹ค(\Delta=1 s).

\tilde{\mathbf{q}}_{t+\Delta}=\mathrm{VLM}(l,\mathbf{h}_t,o_t,\mathbf{c}_t^\star,\mathbf{q}_{t+\Delta}),\qquad \mathbf{z}_{t+\Delta}=\mathcal{D}_{\mathrm{future}}(\tilde{\mathbf{q}}_{t+\Delta})

SFT ์†์‹ค์€ CoD์˜ cross-entropy์™€, ๋ฏธ๋ž˜ ํ”„๋ ˆ์ž„ o_{t+\Delta}๋ฅผ frozen DINOv3๋กœ ์ธ์ฝ”๋”ฉํ•œ ๋ชฉํ‘œ \mathbf{z}^\star_{t+\Delta}์™€์˜ ๊ฑฐ๋ฆฌ๋‹ค(๋ถ€๋ก ํ‘œ 5 ๊ธฐ์ค€ \lambda_{\mathrm{future}}=3).

\mathcal{L}_{\mathrm{SFT}}=\mathrm{CE}\big(p_\theta(\mathbf{c}_t\mid l,\mathbf{h}_t,o_t),\mathbf{c}_t^\star\big)+\lambda_{\mathrm{future}}\,\mathrm{dist}(\mathbf{z}_{t+\Delta},\mathbf{z}^\star_{t+\Delta})

RL์—์„œ๋Š” CoD K=4๊ฐœ๋ฅผ ์ƒ˜ํ”Œ๋งํ•˜๊ณ , frozen future projector๋กœ ๊ฐ CoD์˜ ๋ฏธ๋ž˜๋ฅผ ์˜ˆ์ธกํ•ด patch๋ณ„ cosine s_p๋ฅผ ์ „์—ญ ํ‰๊ท ๊ณผ motion ๊ฐ€์ค‘ ํ‰๊ท ์˜ ๋ฐ˜๋ฐ˜์œผ๋กœ ์„ž์€ ๊ฐ’์„ ๋ณด์ƒ์œผ๋กœ ์“ด๋‹ค. ๊ฐ€์ค‘์น˜ w_p๋Š” ํ˜„์žฌ ํ”„๋ ˆ์ž„๊ณผ ์‹ค์ œ ๋ฏธ๋ž˜ ํ”„๋ ˆ์ž„ ์‚ฌ์ด DINO feature ๋ณ€ํ™”๊ฐ€ ํฐ patch์ผ์ˆ˜๋ก ํฌ๋‹ค.

r_{\mathrm{world}}=\frac12\left[\frac{1}{|\mathcal V|}\sum_{p\in\mathcal V}s_p+\frac{\sum_p w_p s_p}{\sum_p w_p}\right],\qquad \mathcal{L}_{\mathrm{RL}}=0.999\,\mathcal{L}_{\mathrm{GRPO}}(r_{\mathrm{world}})+0.001\,\mathcal{L}_{\mathrm{replay}}

์—ฐ์† action์€ ๋ณ„๋„์˜ action expert(flow matching)๊ฐ€ VLM์˜ ์ž…๋ ฅ ํ† ํฐ KV๋งŒ ๋ฐ›์•„ ๋งŒ๋“ ๋‹ค. ์ƒ์„ฑ๋œ CoD ํ† ํฐ๊ณผ future query๋Š” expert์˜ context์— ๋“ค์–ด๊ฐ€์ง€ ์•Š๋Š”๋‹ค. ๊ทธ๋ž˜์„œ CoD์™€ ์ƒ์ƒ์€ ํ•™์Šต ์ค‘ VLM ํ‘œํ˜„์„ ๋นš๋Š” ๋ฐ๋งŒ ์“ฐ์ด๊ณ , ๋ฐฐํฌ ๋•Œ๋Š” ์ƒ์„ฑํ•˜์ง€ ์•Š๋Š”๋‹ค.

์ฃผ์š” ๊ฒฐ๊ณผ:

  • ์‹ค๊ธฐ bimanual YAM 3๊ณผ์ œ(ํ‘œ 6): in-domain 60/60, OOD 52/60, macro 94.4%ยทmicro 93.3%. ๊ฐ€์žฅ ๊ฐ•ํ•œ ๋ฒ ์ด์Šค๋ผ์ธ MolmoAct2๋Š” 47/60ยท25/60(macro 62.2%ยทmicro 60.0%), LaWAM 29/60ยท24/60, Diffusion Policy 31/60ยท13/60์ด๋‹ค. ์นธ๋‹น 15ํšŒ ๋˜๋Š” 30ํšŒ, ํ•™์Šต ์‹œ๋“œ 1๊ฐœ.
  • LIBERO(ํ‘œ 1): ํ‰๊ท  97.3%. ํ‘œ ์•ˆ์˜ ์ฐจ์ˆœ์œ„๋Š” VLA-JEPA 97.2%, ฯ€0.5 96.9%๋‹ค. ๋‹ค๋งŒ ์ด ํ‘œ์—๋Š” ๊ฐ™์€ action expert๋ฅผ ์ œ๊ณตํ•œ MolmoAct2(์› ๋…ผ๋ฌธ 97.2%)์™€ MolmoAct2-Think(98.1%)๊ฐ€ ์—†๋‹ค.
  • LIBERO-PRO(ํ‘œ 1): LIBERO๋กœ๋งŒ ํ•™์Šตํ•˜๊ณ  zero-shot ํ‰๊ฐ€, ํ‰๊ท  55.6%(ฯ€0.5 53.2%, OpenVLA 51.7%). ์šฐ์œ„๋Š” Task ์ถ•(31.9% vs ํ‘œ ์•ˆ ์ตœ๊ณ  20.8%)์—์„œ ๋Œ€๋ถ€๋ถ„ ๋‚˜์˜ค๊ณ , Object ์ถ•์€ ํ‘œ์˜ ์—ฌ์„ฏ ๋ชจ๋ธ ์ค‘ ๊ฐ€์žฅ ๋‚ฎ๋‹ค(73.3%).
  • ๊ตฌ์„ฑ์š”์†Œ ์ ˆ์ œ(ํ‘œ 3, LIBERO-PRO ํ‰๊ท ): Qwen ๋ฒ ์ด์Šค๋ผ์ธ 40.1 โ†’ history 40.7 โ†’ future prediction 50.4 โ†’ CoD 54.4 โ†’ RL 55.6. ๊ฐ€์žฅ ํฐ ์ฆ๊ฐ€๋Š” CoD๋‚˜ RL์ด ์•„๋‹ˆ๋ผ future prediction ์†์‹ค(+9.7%p)์ด๋‹ค.
  • ์‚ฌ๋žŒ ๋ฐ์ดํ„ฐ ๋น„์œจ(Fig. 6): ๋กœ๋ด‡ ๋ฐ์ดํ„ฐ ๊ณ ์ •, ์‚ฌ๋žŒ ๋น„์œจ 0โ†’50%์—์„œ LIBERO-PRO 45.4% โ†’ 47.8%, ๊ฐ™์€ ํ•™์Šต ๊ทœ๋ชจ์˜ ๋กœ๋ด‡ ์ „์šฉ ๋Œ€์กฐ๊ตฐ๋ณด๋‹ค ์•ฝ 1.2%p ๋†’๋‹ค.
  • ์ถ”๋ก  ์ง€์—ฐ(ํ‘œ 9): H100 batch-1 eager ๊ธฐ์ค€ p50 324.84 ms, MolmoAct2 335.07 ms, MolmoAct2-Think 879.37 ms.

๊ฒฐ๋ก :

ThinkWorld์˜ ์ƒˆ๋กœ์›€์€ โ€œ์ค‘๊ฐ„ ์ถ”๋ก  ํ† ํฐโ€์„ ์‚ฌ๋žŒ๊ณผ ๋กœ๋ด‡์ด ๊ณต์œ ํ•˜๋Š” motion token์œผ๋กœ ์ •ํ•˜๊ณ , ๊ทธ ์ถ”๋ก ์ด ๋งž์•˜๋Š”์ง€๋ฅผ ์‹ค์ œ ๋ฏธ๋ž˜ ์žฅ๋ฉด๊ณผ ๋Œ€์กฐํ•ด ์ ์ˆ˜๋ฅผ ๋งค๊ธด๋‹ค๋Š” ๋ฐœ์ƒ์ด๋‹ค. ์‹ค๊ธฐ OOD ๊ฒฐ๊ณผ๋Š” ๊ฐ™์€ ํ”Œ๋žซํผ์˜ MolmoAct2๋ณด๋‹ค ๋šœ๋ ท์ด ๋†’๋‹ค. ๊ทธ๋Ÿฌ๋‚˜ ์ด โ€œ์ƒ๊ฐโ€์€ ๋ฐฐํฌ ๋•Œ ์‹คํ–‰๋˜์ง€ ์•Š์œผ๋ฏ€๋กœ ์‚ฌ์‹ค์ƒ ํ•™์Šต ์‹œ์˜ ๋ณด์กฐ ๋ชฉ์ ํ•จ์ˆ˜์ด๊ณ , ์ ˆ์ œ์—์„œ ์„ฑ๋Šฅ์˜ ๋Œ€๋ถ€๋ถ„์€ future prediction ์†์‹ค์—์„œ ๋‚˜์˜จ๋‹ค. ์ œ๋ชฉ์ด ๋‚ด์„ธ์šฐ๋Š” RL์˜ ๋ชซ์€ 1.2%p(์‹œ๋“œ 1๊ฐœ)์ด๋ฉฐ, ๋ผ๋ฒจ ์—†๋Š” ์˜์ƒ์œผ๋กœ RL์„ ํ™•์žฅํ•œ๋‹ค๋Š” ํ•ต์‹ฌ ์ฃผ์žฅ์€ ์‹คํ—˜์œผ๋กœ ํ™•์ธ๋˜์ง€ ์•Š์•˜๋‹ค. ์ฝ”๋“œ์™€ ๋ชจ๋ธ์€ ๊ณต๊ฐœ๋˜์ง€ ์•Š์•˜๋‹ค.


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ํ•œ ์ค„๋กœ ์‹œ์ž‘ํ•˜๋ฉด

ThinkWorld๋Š” VLA์—๊ฒŒ โ€œ๋‹ค์Œ 1์ดˆ ๋™์•ˆ ์†๋ชฉ์ด ์–ด๋–ป๊ฒŒ ์›€์ง์ผ์ง€โ€๋ฅผ discrete token์œผ๋กœ ๋จผ์ € ๋งํ•˜๊ฒŒ ํ•˜๊ณ , ๊ทธ ๋ง๋Œ€๋กœ ์›€์ง์˜€์„ ๋•Œ ์žฅ๋ฉด์ด ์–ด๋–ป๊ฒŒ ๋ฐ”๋€”์ง€๋ฅผ DINOv3 feature๋กœ ๊ทธ๋ ค ๋ณด๊ฒŒ ํ•œ ๋’ค, ๊ทธ๋ฆผ์ด ์‹ค์ œ 1์ดˆ ๋’ค ์žฅ๋ฉด๊ณผ ๋งž์œผ๋ฉด ๊ทธ ๋ง์„ ์นญ์ฐฌํ•˜๋Š” ๋ฐฉ์‹์œผ๋กœ ํ•™์Šตํ•œ๋‹ค. ์†๋ชฉ ๊ถค์ ์ด๋ผ๋Š” ๊ณตํ†ต ์–ธ์–ด ๋•๋ถ„์— ์‚ฌ๋žŒ egocentric ์˜์ƒ๊ณผ ๋กœ๋ด‡ ๋ฐ๋ชจ๊ฐ€ ๊ฐ™์€ ํ† ํฐ ๊ณต๊ฐ„์„ ๋‹ค๋“ฌ๋Š”๋‹ค. ํ•ต์‹ฌ ์งˆ๋ฌธ์€ ๋‘ ๊ฐ€์ง€๋‹ค. ์ด โ€œ๋งํ•˜๊ณ  ๊ทธ๋ ค ๋ณด๊ธฐโ€๊ฐ€ ๋ฐฐํฌ ๋•Œ๋Š” ์ „ํ˜€ ์‹คํ–‰๋˜์ง€ ์•Š๋Š”๋ฐ๋„ ์ œ์–ด๋ฅผ ์ข‹์•„์ง€๊ฒŒ ํ•˜๋Š”๊ฐ€, ๊ทธ๋ฆฌ๊ณ  ๋ณด์ƒ์ด ์ •๋ง๋กœ ๋ผ๋ฒจ ์—†๋Š” ์˜์ƒ์„ ๊ฐ๋… ์‹ ํ˜ธ๋กœ ๋ฐ”๊พธ๋Š”๊ฐ€. ๋…ผ๋ฌธ์€ ์ฒซ ์งˆ๋ฌธ์— ์‹ค๊ธฐยท์‹œ๋ฎฌ๋ ˆ์ด์…˜ ์ˆ˜์น˜๋กœ ๋‹ตํ•˜์ง€๋งŒ, ๋‘ ๋ฒˆ์งธ ์งˆ๋ฌธ์€ ๊ธฐ๋Šฅ์œผ๋กœ ์„ค๊ณ„๋งŒ ํ•ด ๋‘๊ณ  ์‹คํ—˜์œผ๋กœ๋Š” ๋ณด์—ฌ ์ฃผ์ง€ ์•Š๋Š”๋‹ค.

๋ฐฐ๊ฒฝ: ์‚ฌ๋žŒ ์˜์ƒ์˜ trade-off (ยง1ยทยง2)

VLA๋Š” ์‚ฌ์ „ํ•™์Šต๋œ vision-language ์ง€์‹๊ณผ ์ด์งˆ์ ์ธ ๋กœ๋ด‡ ๋ฐ๋ชจ๋ฅผ ๋ฌถ์–ด ํฌ๊ฒŒ ๋ฐœ์ „ํ–ˆ์ง€๋งŒ, ํ–‰๋™์˜ ๋ฒ”์œ„๋Š” ๊ฒฐ๊ตญ action ๋ผ๋ฒจ์ด ๋ถ™์€ ๋กœ๋ด‡ ๊ถค์ ์— ๋ฌถ์—ฌ ์žˆ๋‹ค. ์‚ฌ๋žŒ ์˜์ƒ์€ ์žฅ๋ฉดยท๋ฌผ์ฒดยท๊ธฐ์ˆ ์ด ํ›จ์”ฌ ๋‹ค์–‘ํ•˜์ง€๋งŒ ๋กœ๋ด‡์ด ์‹คํ–‰ํ•  action์„ ์ฃผ์ง€ ์•Š๋Š”๋‹ค. ์ €์ž๋“ค์€ ๊ธฐ์กด ์ ‘๊ทผ์„ ๋‘ ์ถ•์œผ๋กœ ๋‚˜๋ˆˆ๋‹ค.

์ ‘๊ทผ ๊ฐ๋… ์‹ ํ˜ธ ์žฅ์  ํ•œ๊ณ„(์ €์ž ์ •๋ฆฌ)
latent action ๋ชจ๋ธ(LAPA ๋“ฑ) ํ”„๋ ˆ์ž„ ์ „์ด์—์„œ ์ถ”๋ก ํ•œ ๋ณ€์ˆ˜ ๋ผ๋ฒจ ์—†๋Š” ์˜์ƒ ์ „์ฒด๋กœ ํ™•์žฅ ๋ณ€์ˆ˜๊ฐ€ under-constrained, ์™ธํ˜•ยท์นด๋ฉ”๋ผ ์›€์ง์ž„์„ ๋‹ด์„ ์ˆ˜ ์žˆ์Œ
๋ช…์‹œ์  motion ๊ฐ๋…(EgoMimic, EgoScale, EgoEngine ๋“ฑ) ์† ์ž์„ธยท๋ฆฌํƒ€๊ฒŒํŒ… ๊ถค์  ๋ฌผ๋ฆฌ์  grounding์ด ์ง์ ‘์  ์ •ํ™•ํ•œ ์ž์„ธ ์ถ”์ •๊ณผ ์‚ฌ๋žŒ-๋กœ๋ด‡ ๋Œ€์‘์— ์˜์กด
๋ฏธ๋ž˜ ์˜ˆ์ธก world model / foresight VLA ๋ฏธ๋ž˜ ํ”ฝ์…€ยทfeatureยท๊ถค์  โ€œ๋ฌด์—‡์ด ๋ฐ”๋€Œ๋Š”๊ฐ€โ€๋ฅผ ์ง์ ‘ ๋‹ค๋ฃธ ๊ทธ ๋ณ€ํ™”๋ฅผ ๋งŒ๋“  ์ค‘๊ฐ„ ๋™์—ญํ•™์„ ์ถ”๋ก ํ•˜๊ธฐ ์–ด๋ ค์›€
์ถ”๋ก  ๊ฐ•ํ™” VLA(ThinkAct, MolmoAct, ACoT-VLA ๋“ฑ) ํ…์ŠคํŠธ ๊ณ„ํšยท์‹œ๊ฐ ๊ถค์ ยทcoarse action action ์ƒ์„ฑ์„ ๊ตฌ์กฐํ™” ์ถ”๋ก ์ด ๊ทธ๊ฒƒ์ด ์ผ์œผํ‚จ ์„ธ๊ณ„ ๋ณ€ํ™”์— grounding๋˜์ง€ ์•Š์Œ

ThinkWorld์˜ ์ž๋ฆฌ๋Š” ๋งˆ์ง€๋ง‰ ๋‘ ์ค„์„ ํ•ฉ์นœ ๊ณณ์ด๋‹ค. ์ถ”๋ก  ํ† ํฐ์„ ํ…์ŠคํŠธ๊ฐ€ ์•„๋‹ˆ๋ผ motion์œผ๋กœ ๋งŒ๋“ค๊ณ , ๊ทธ motion์ด ๋‚ณ์„ ๋ฏธ๋ž˜๋ฅผ ์˜ˆ์ธกํ•ด ์‹ค์ œ ๋ฏธ๋ž˜์™€ ๋งž์ถฐ ๋ณด๋Š” ๊ฒƒ์œผ๋กœ ์ถ”๋ก ์„ ์„ธ๊ณ„ ๋ณ€ํ™”์— ๋ฌถ๋Š”๋‹ค. ๊ด€๋ จ ์—ฐ๊ตฌ ์ ˆ์€ ์ฐจ๋ณ„์ ์„ ์ด๋ ‡๊ฒŒ ์ ๋Š”๋‹ค. ThinkWorld๋Š” ๋ฏธ๋ž˜ ์˜ˆ์ธก์„ ์ œ์–ด ์ถœ๋ ฅ์ด๋‚˜ ์ƒ์ƒ rollout์œผ๋กœ ์“ฐ์ง€ ์•Š๊ณ , ์˜ˆ์ธก๊ณผ ๊ด€์ธก์˜ ์ผ์น˜๋ฅผ ํ•™์Šต ์‹ ํ˜ธ๋กœ๋งŒ ์“ฐ๋ฉฐ ๋ฐฐํฌ ๋•Œ๋Š” ๋ฒ„๋ฆฐ๋‹ค.

๋ฐฉ๋ฒ• ์ƒ์„ธ 1: Chain-of-Dynamics (ยง3.1ยทยง3.2, ๋ถ€๋ก A.1ยทA.2)


Fig. 2. ์œ„(a): SFT ๋‹จ๊ณ„. motion tokenizer๊ฐ€ ๋กœ๋ด‡ action๊ณผ ์ฃผ์„๋œ ์‚ฌ๋žŒ ์† motion์„ ํ•˜๋‚˜์˜ discrete ๊ณต๊ฐ„์œผ๋กœ ๋ฐ”๊พธ๊ณ (CoD), VLM ๋’ค์˜ future query๊ฐ€ decoder๋ฅผ ๊ฑฐ์ณ ๋ฏธ๋ž˜ DINO feature๋ฅผ ์˜ˆ์ธกํ•œ๋‹ค. action decoder๋Š” VLM์˜ KV๋ฅผ ๋ฐ›๋Š”๋‹ค. ์•„๋ž˜(b): RL ๋‹จ๊ณ„. ์‚ฌ๋žŒยท๋กœ๋ด‡ ์˜์ƒ์—์„œ CoD๋ฅผ ์—ฌ๋Ÿฌ ๊ฐœ rolloutํ•˜๊ณ  ์ƒ์ƒํ•œ ๋ฏธ๋ž˜์™€ ์‹ค์ œ ๋ฏธ๋ž˜์˜ ์œ ์‚ฌ๋„๋กœ GRPO ์—…๋ฐ์ดํŠธ๋ฅผ ํ•œ๋‹ค. action decoder๋Š” frozen์ด๊ณ , CoD์™€ query๋Š” โ€œTraining-Onlyโ€๋กœ ํ‘œ์‹œ๋ผ ์žˆ๋‹ค.

๋ฌธ์ œ ์ •์‹ํ™”. ์ž…๋ ฅ์€ ์ง€์‹œ๋ฌธ l, ํ˜„์žฌ ๊ด€์ธก o_t, history ํ”„๋ ˆ์ž„ \mathbf{h}_t, ๋กœ๋ด‡์ด๋ฉด ๊ณ ์œ ๊ฐ๊ฐ ์ƒํƒœ s_t์ด๊ณ , ์ถœ๋ ฅ์€ ์—ฐ์† action ์—ด \mathbf{a}_t๋‹ค. CoD \mathbf{c}_t๋Š” ์ด ๋‘˜ ์‚ฌ์ด์— ๋ผ๋Š” ์ถ”๋ก  ์ธํ„ฐํŽ˜์ด์Šค๋‹ค.

motion tokenizer. ๋กœ๋ด‡ ๊ถค์ ๊ณผ ์ฃผ์„๋œ ์‚ฌ๋žŒ ์† ๊ถค์ ์˜ motion ๊ตฌ๊ฐ„ \mathbf{m}_t๋ฅผ ์ •๊ทœํ™”๋œ delta end-effector๋กœ ๋ฐ”๊พธ๊ณ  FAST ๊ตฌ์กฐ์˜ tokenizer \mathcal T๋กœ \mathbf{c}_t^\star=\mathcal T(\mathbf{m}_t)๋ฅผ ๋งŒ๋“ ๋‹ค. ๋ถ€๋ก์˜ ๊ตฌ์ฒด ์„ค์ •์€ ๋‹ค์Œ๊ณผ ๊ฐ™๋‹ค.

ํ•ญ๋ชฉ ๊ฐ’
์œˆ๋„ ์—ฐ์† ์†๋ชฉ motion delta 1์ดˆ
์‹œ์ ๋‹น ๋ฒกํ„ฐ ํ•œ ์† 6D, ๋‘ ์† 12D(translation [m] + rotation vector [rad]), gripper ์ƒํƒœ ์ œ์™ธ
์ •๊ทœํ™” ์Šค์ผ€์ผ translation 0.3448 m, rotation 0.9119 rad
์–ดํœ˜ ํฌ๊ธฐ 2,048 ํ† ํฐ
์ขŒํ‘œ๊ณ„ ๋กœ๋ด‡: robot base frame / ์‚ฌ๋žŒ: actor ์ค‘์‹ฌ frame(+z ์ค‘๋ ฅ ์ •๋ ฌ, +x๋Š” actor์˜ ํ˜„์žฌ yaw)

์ €์ž๋“ค์€ ์ด ํ† ํฐ์ด โ€œ์˜๋„๋œ ์†๋ชฉ motion์˜ ๊ณต์œ  ํ† ํฐ ๊ณต๊ฐ„โ€์ด๋ฉฐ ๋กœ๋ด‡ action์œผ๋กœ ์‹คํ–‰๋˜์ง€ ์•Š๋Š”๋‹ค๊ณ  ๋ถ„๋ช…ํžˆ ์ ๋Š”๋‹ค. ์‹คํ–‰์€ ๋ณ„๋„์˜ ์—ฐ์† action expert๊ฐ€ ํ•œ๋‹ค. ๋˜ kinematic equivalence๋ฅผ ๊ฐ€์ •ํ•˜์ง€ ์•Š๋Š”๋‹ค๊ณ  ํ•˜๋Š”๋ฐ, ์‹ค์ œ๋กœ ๊ณต์œ ๋˜๋Š” ๊ฒƒ์€ ์†๋ชฉ(end-effector) 6D ๋ณ€์œ„๋ฟ์ด๊ณ  ์†๊ฐ€๋ฝ๊ณผ gripper๋Š” ๋น ์ง„๋‹ค. ์‚ฌ๋žŒ์˜ ๋‹ค์„ฏ ์†๊ฐ€๋ฝ ํŒŒ์ง€์™€ ๋กœ๋ด‡ gripper ๊ฐœํ๊ฐ€ ์–ด๋–ป๊ฒŒ ๋Œ€์‘๋˜๋Š”์ง€๋Š” ์ด ํ‘œํ˜„์ด ๋‹ค๋ฃจ์ง€ ์•Š๋Š”๋‹ค.

์ขŒํ‘œ๊ณ„์— ๋Œ€ํ•ด ํ•œ ๊ฐ€์ง€. ๋กœ๋ด‡์€ ๊ณ ์ •๋œ base frame, ์‚ฌ๋žŒ์€ ๋จธ๋ฆฌ yaw๋ฅผ ๋”ฐ๋ผ ๋„๋Š” actor ์ค‘์‹ฌ frame์ด๋‹ค. ๊ฐ™์€ โ€œ์˜ค๋ฅธ์ชฝ์œผ๋กœ 10 cmโ€๋ผ๋„ ๋‘ ์ขŒํ‘œ๊ณ„์˜ ๊ธฐ์ค€์ด ๋‹ค๋ฅด๋ฏ€๋กœ, ํ† ํฐ์ด ๊ฐ™๋‹ค๋Š” ๊ฒƒ์ด ๊ณง ๊ฐ™์€ ๋ฌผ๋ฆฌ์  ์ด๋™์ด๋ผ๋Š” ๋œป์€ ์•„๋‹ˆ๋‹ค. ๋…ผ๋ฌธ์€ ์ด ์ฐจ์ด๊ฐ€ ํ† ํฐ ๊ณต์œ ์— ๋ฏธ์น˜๋Š” ์˜ํ–ฅ์„ ๋”ฐ๋กœ ๋ถ„์„ํ•˜์ง€ ์•Š๋Š”๋‹ค(t-SNE๋Š” ๋’ค์˜ ๋ถ„์„ ์ ˆ ์ฐธ์กฐ).

VLM ์ž…์ถœ๋ ฅ. ์ž…๋ ฅ ์ˆœ์„œ๋Š” main view history(์ตœ๋Œ€ 16ํ”„๋ ˆ์ž„, 2 Hz) โ†’ ํ˜„์žฌ main view โ†’ ํ˜„์žฌ wrist view์ด๊ณ , ํ…์ŠคํŠธ์— ๊ณผ์ œยทembodimentยท์ œ์–ด ๋ฐฉ์‹ยท์ƒํƒœ๊ฐ€ ๋“ค์–ด๊ฐ„๋‹ค. ์ƒํƒœ๋Š” MolmoAct2๋ฅผ ๋”ฐ๋ผ ์ฐจ์›๋ณ„๋กœ 256 bin discrete ํ† ํฐ์œผ๋กœ ๋„ฃ๋Š”๋‹ค. ํ”„๋กฌํ”„ํŠธ๋Š” โ€œ๋ฏธ๋ž˜ motion ๊ณ„ํš์„ ๋งŒ๋“ค๊ณ  1์ดˆ ๋’ค ์ƒํƒœ๋ฅผ ์˜ˆ์ธกํ•˜๋ผโ€๋กœ ๋๋‚˜๊ณ , ๋ชจ๋ธ์€ <think> ์•ˆ์— CoD๋ฅผ ์“ด ๋’ค future query๋ฅผ ์ฒ˜๋ฆฌํ•œ๋‹ค.

๋ฐฉ๋ฒ• ์ƒ์„ธ 2: CoD-conditioned future imagination (ยง3.2, ๋ถ€๋ก A.1ยทA.5)

CoD๋งŒ์œผ๋กœ๋Š” ๊ทธ motion์ด ์„ธ๊ณ„๋ฅผ ์–ด๋–ป๊ฒŒ ๋ฐ”๊พธ๋Š”์ง€ ๋ชจ๋ฅธ๋‹ค. ๊ทธ๋ž˜์„œ CoD ๋’ค์— learnable future query 64๊ฐœ๋ฅผ ๋ถ™์ด๊ณ , VLM์ด ์ด๋ฅผ ๋งฅ๋ฝํ™”ํ•œ ์ถœ๋ ฅ์„ decoder(2์ธต MLP + 6์ธต cross-attention)๋กœ 196๊ฐœ DINO patch feature๋กœ ๋ฐ”๊พผ๋‹ค. ๋ชฉํ‘œ๋Š” main camera์—์„œ ํ˜„์žฌ๋กœ๋ถ€ํ„ฐ ์ •ํ™•ํžˆ 1์ดˆ ๋’ค์— ๊ฐ€์žฅ ๊ฐ€๊นŒ์šด ํ”„๋ ˆ์ž„์ด๊ณ , ์š”์ฒญ ์‹œ๊ฐ์—์„œ 50 ms ๋„˜๊ฒŒ ๋–จ์–ด์ง„ ์ƒ˜ํ”Œ์€ future ์†์‹ค์—์„œ ๋บ€๋‹ค.

ํ•ญ๋ชฉ ๊ฐ’
target encoder frozen DINOv3 ViT-H/16+, ์ž…๋ ฅ 224ร—224 โ†’ 14ร—14 patch ร— 1,280์ฐจ์›
future query 64๊ฐœ, VLM hidden 2,048์ฐจ์›
decoder 2์ธต MLP + 6์ธต cross-attention โ†’ 196 patch
๋ฏธ๋ž˜ ์‹œ์  \Delta=1 s (ยฑ50 ms ๋ฐ–์€ ๋งˆ์Šคํ‚น)
๊ฑฐ๋ฆฌ patch๋ณ„ 1-\cos+\lambda_{\mathrm{SL1}}\mathrm{SmoothL1}_\beta, \ell_2 ์ •๊ทœํ™” ํ›„, \beta=0.01, \lambda_{\mathrm{SL1}}=0.25\times21.792413
๊ฐ€์ค‘์น˜ \lambda_{\mathrm{future}}=3

ํ”ฝ์…€์ด ์•„๋‹ˆ๋ผ DINO feature๋ฅผ ์˜ˆ์ธกํ•˜๋Š” ์ด์œ ๋Š” ๊ณต๊ฐ„ยท๋ฌผ์ฒด ๊ตฌ์กฐ๋ฅผ ์œ ์ง€ํ•˜๋ฉด์„œ ์™ธํ˜• ์„ธ๋ถ€๋ฅผ ์ถ”์ƒํ™”ํ•ด, ์‚ฌ์‹ค์ ์ธ ์˜์ƒ ์ƒ์„ฑ ์—†์ด โ€œ๊ตฌ์กฐ์  ๋ณ€ํ™”โ€๋กœ ๋น„๊ตํ•  ์ˆ˜ ์žˆ๊ธฐ ๋•Œ๋ฌธ์ด๋ผ๊ณ  ํ•œ๋‹ค. ๋ชฉํ‘œ ํ”„๋ ˆ์ž„์€ ์†์‹ค ๊ณ„์‚ฐ์—๋งŒ ์“ฐ๊ณ  VLM ์ž…๋ ฅ์—๋Š” ์ ˆ๋Œ€ ๋„ฃ์ง€ ์•Š๋Š”๋‹ค. \lambda_{\mathrm{SL1}}์˜ 21.792413์ด๋ผ๋Š” ์ƒ์ˆ˜๋Š” ์ถœ์ฒ˜ ์„ค๋ช…์ด ์—†๋‹ค.

SFT์—์„œ CoD ํ† ํฐ์€ ์–ธ์–ด cross-entropy๋ฅผ ๋ฐ›๊ณ , future query๋Š” cross-entropy์—์„œ ๋น ์ ธ future projector๋งŒ ๊ฐ๋…ํ•œ๋‹ค. ์ด ๋‹จ๊ณ„์˜ key ๋ฌธ์žฅ์€ โ€œaction expert๋Š” ์ด ๋ชฉ์ ํ•จ์ˆ˜๋“ค์ด ๋นš์€ VLM ํ‘œํ˜„์„ ์“ฐ๊ณ , CoD ํ† ํฐ์„ ์ง์ ‘ ๋””์ฝ”๋”ฉํ•˜๊ฑฐ๋‚˜ ์†Œ๋น„ํ•˜์ง€ ์•Š๋Š”๋‹คโ€์ด๋‹ค. future ๋ชฉํ‘œ๋Š” ์‹œ๊ฐ„ ์ˆœ์„œ๊ฐ€ ์žˆ๋Š” ์–ด๋–ค ์˜์ƒ์—์„œ๋“  ์–ป์„ ์ˆ˜ ์žˆ์œผ๋ฏ€๋กœ, ์ด๊ฒƒ์ด ๋‹ค์Œ ๋‹จ๊ณ„์—์„œ ๋ผ๋ฒจ ์—†๋Š” ์ „์ด๋กœ ํ•™์Šต์„ ๋„“ํžˆ๋Š” ๊ทผ๊ฑฐ๊ฐ€ ๋œ๋‹ค.

๋ฐฉ๋ฒ• ์ƒ์„ธ 3: world-imagination RL (ยง3.3, ๋ถ€๋ก A.6)

teacher forcing์œผ๋กœ ํ•™์Šตํ•œ future ์˜ˆ์ธก๋งŒ์œผ๋กœ๋Š” VLM์ด โ€œ์›ํ•˜๋Š” ๋ฏธ๋ž˜์— ๋„๋‹ฌํ•˜๋Š” ์ค‘๊ฐ„ ๋™์—ญํ•™์„ ๊ณ„ํšโ€ํ•˜๋„๋ก ํ›ˆ๋ จ๋˜์ง€ ์•Š๋Š”๋‹ค๋Š” ๊ฒƒ์ด ์ €์ž๋“ค์˜ ๋ฌธ์ œ์˜์‹์ด๋‹ค. ๊ทธ๋ž˜์„œ ๊ฐ™์€ ์‹œ๊ฐ ๋งฅ๋ฝ์—์„œ CoD๋ฅผ ์—ฌ๋Ÿฌ ๊ฐœ ์ƒ˜ํ”Œ๋งํ•˜๊ณ , ๊ฐ CoD๋กœ ์˜ˆ์ธกํ•œ ๋ฏธ๋ž˜๊ฐ€ ๊ด€์ธก๋œ ๋ฏธ๋ž˜์™€ ์ž˜ ๋งž๋Š” ๊ฒƒ์— ๋ณด์ƒ์„ ์ค€๋‹ค.

๋ณด์ƒ. Ping์˜ ์‹๋Œ€๋กœ ์ „์—ญ ํ‰๊ท  cosine๊ณผ motion ๊ฐ€์ค‘ ํ‰๊ท  cosine์˜ ํ‰๊ท ์ด๋‹ค. w_p๋Š” ํ˜„์žฌ์™€ ์‹ค์ œ ๋ฏธ๋ž˜ ํ”„๋ ˆ์ž„ ์‚ฌ์ด DINO feature ๋ณ€ํ™”๋Ÿ‰์œผ๋กœ ์ •ํ•œ๋‹ค. ์ค‘์•™๊ฐ’ ์ดํ•˜ patch๋Š” 0.2, 90๋ฒˆ์งธ ๋ฐฑ๋ถ„์œ„์—์„œ 1์ด ๋˜๋„๋ก ์„ ํ˜• ์ฆ๊ฐ€ํ•˜๊ณ  ๊ทธ ๋ฐ–์€ clipํ•œ๋‹ค. ๊ฑฐ์˜ ์ •์ ์ธ ๋ชฉํ‘œ์—์„œ๋Š” ๋‘ ํ•ญ ๋ชจ๋‘ ์ „์—ญ ํ‰๊ท ์„ ์“ด๋‹ค. ๊ฐ€์ค‘์น˜๊ฐ€ ๊ด€์ธก ํ”„๋ ˆ์ž„๋งŒ์œผ๋กœ ์ •ํ•ด์ง€๋ฏ€๋กœ ๋ณด์ƒ ๊ณ„์‚ฐ์— action ๋ผ๋ฒจ์ด ํ•„์š” ์—†๋‹ค.

์ตœ์ ํ™” ์„ธ๋ถ€.

ํ•ญ๋ชฉ ๊ฐ’
๊ทธ๋ฃน ํฌ๊ธฐ ๋งฅ๋ฝ๋‹น CoD K=4
ํ˜•์‹ ์˜ค๋ฅ˜ CoD ๊ทธ๋ฃน ์ตœ์ € ์œ ์‚ฌ๋„๋ณด๋‹ค 0.05 ๋‚ฎ์€ ๋ณด์ƒ
์ •๊ทœํ™” 4๊ฐœ ๊ทธ๋ฃน ์•ˆ์—์„œ ํ‘œ์ค€ํ™”ํ•œ ๋’ค rollout ๋ฐฐ์น˜ ์ „์ฒด์—์„œ ๋‹ค์‹œ ํ‘œ์ค€ํ™”(GDPO ์ธ์šฉ), advantage๋Š” ๊ทธ CoD์˜ ๋ชจ๋“  ํ† ํฐ์ด ๊ณต์œ 
clip ํ† ํฐ ๋‹จ์œ„ importance ratio [0.8, 1.28]
KL ๊ณ„์ˆ˜ 0.04
์†์‹ค ๊ฐ€์ค‘ \lambda_{\mathrm{GRPO}}=0.999, \lambda_{\mathrm{replay}}=0.001 (replay๋Š” canonical CoD์˜ teacher-forced CE)
ํ•™์Šต ๋Œ€์ƒ VLM๋งŒ. action expert์™€ future projector๋Š” frozen
๋ฐ˜๋ณตยทํ•™์Šต๋ฅ  2k iteration, 10^{-6}, 50 step warmup ํ›„ ๊ณ ์ •, batch 128
๋ฐ์ดํ„ฐ โ€œRobot + human motionโ€(ํ‘œ 5, SFT์™€ ๊ฐ™์€ ํ‘œ๊ธฐ)
์ด๋ฏธ์ง€ ์ฆ๊ฐ• RL์—์„œ๋Š” ๋”(๊ทธ๋ฃน 4๊ฐœ๊ฐ€ ๊ฐ™์€ ์ž…๋ ฅ์„ ๋ฐ›๋„๋ก)

GDPO๋Š” ์›๋ž˜ ๋‹ค์ค‘ ๋ณด์ƒ์„ ๋ถ„๋ฆฌ ์ •๊ทœํ™”ํ•˜๋Š” ๋ฐฉ๋ฒ•์ธ๋ฐ, ThinkWorld์˜ ๋ณด์ƒ์€ r_{\mathrm{world}} ํ•˜๋‚˜๋‹ค. ์—ฌ๊ธฐ์„œ๋Š” ์‚ฌ์‹ค์ƒ ๊ทธ๋ฃน ํ‘œ์ค€ํ™” ๋’ค ๋ฐฐ์น˜ ํ‘œ์ค€ํ™”๋ฅผ ํ•œ ๋ฒˆ ๋” ํ•˜๋Š” ์šฉ๋„๋กœ ์“ฐ์ธ๋‹ค.

๊ตฌํ˜„: ๋ชจ๋ธยท๋ฐ์ดํ„ฐยทํ•™์Šต ์ˆœ์„œ (ยง4.1, ๋ถ€๋ก A.1ยทA.3ยทA.4)

๋ชจ๋ธ. VLM์€ Qwen3-VL-2B-Instruct, action expert๋Š” MolmoAct2์—์„œ ์ดˆ๊ธฐํ™”ํ•œ 36๋ธ”๋ก non-causal Transformer(ํญ 768, FP32)๋‹ค. expert๋Š” ์ตœ๋Œ€ 30ร—32 action ํ…์„œ๋ฅผ ๋‚ด๊ณ , 2์ฐจ์› validity mask๋กœ ๋ฐ์ดํ„ฐ์…‹ ๊ณ ์œ ์˜ horizon๊ณผ ์ฑ„๋„๋งŒ ํ•™์Šตํ•œ๋‹ค. VLM์—์„œ ์ธต๋ณ„ key/value๋ฅผ ๋ฐ›๋Š” ๋ฐฉ์‹์€ MolmoAct2์˜ per-layer KV conditioning๊ณผ ๊ฐ™๋‹ค. flow matching์€ t=0.001+0.999z, z\sim\mathrm{Beta}(1,1.5), ์˜ˆ์ œ๋‹น ๋…ธ์ด์ฆˆ ์ƒ˜ํ”Œ 8๊ฐœ, ์ถ”๋ก  ์‹œ Euler 10 step์ด๋‹ค. ์ „์ฒด ํŒŒ๋ผ๋ฏธํ„ฐ๋Š” 2.9B(ํ‘œ 1).

๋ฐ์ดํ„ฐ(ํ‘œ 4). 8๊ฐœ ์ถœ์ฒ˜, ์ด 4,276.1์‹œ๊ฐ„์ด๋‹ค.

์ถœ์ฒ˜ ์—ํ”ผ์†Œ๋“œ ํ”„๋ ˆ์ž„ ์‹œ๊ฐ„ Hz ์นด๋ฉ”๋ผ action ํ‘œํ˜„
YAM 32.2K 76.0M 704.1 30 top + wrist 2 30ร—14D absolute joint
DROID 74.6K 17.8M 328.9 15 exterior + wrist 15ร—8D absolute joint
RoboCOIN 112.0K 82.3M 755.2 30/50 1 ๋˜๋Š” 3 view 30/50ร—(12/14)D absolute EEF
Bridge 53.2K 1.9M 105.2 5 main 5ร—7D delta EEF
RT-1 87.2K 3.8M 350.6 3 main 3ร—7D delta EEF
BC-Z 39.4K 5.5M 152.0 10 main 10ร—7D delta EEF
EgoVerse 55.6K 124.8M 1,155.4 30 egocentric 1์ดˆ 6D/12D motion token
EgoDex 314.8K 78.3M 724.8 30 egocentric 1์ดˆ 6D/12D motion token
ํ•ฉ๊ณ„ 769.1K 390.3M 4,276.1

์‚ฌ๋žŒ ๋ฐ์ดํ„ฐ๋Š” ์‹œ๊ฐ„ ๊ธฐ์ค€ 1,880.2์‹œ๊ฐ„์œผ๋กœ 44.0%๋‹ค(ํ•„์ž ๊ณ„์‚ฐ, ํ”„๋ ˆ์ž„ ๊ธฐ์ค€ 52.0%, ์—ํ”ผ์†Œ๋“œ ๊ธฐ์ค€ 48.2%). ์—ฌ๊ธฐ์„œ ์งš์–ด ๋‘˜ ์ ์ด ์žˆ๋‹ค. ํ‘œ 4์˜ ๋งˆ์ง€๋ง‰ ์—ด์ด ๋ณด์—ฌ ์ฃผ๋“ฏ ๋‘ ์‚ฌ๋žŒ ๋ฐ์ดํ„ฐ์…‹์€ ์†๋ชฉ motion token์ด๋ผ๋Š” action ํ‘œํ˜„์„ ๊ฐ–๋Š”๋‹ค. Fig. 2 ์บก์…˜๋„ โ€œannotated human hand motionsโ€๋ฅผ tokenizeํ•œ๋‹ค๊ณ  ์“ฐ๊ณ , ๋ธ”๋กœ๊ทธ์˜ EgoVerse ๋ฆฌ๋ทฐ๊ฐ€ ์ •๋ฆฌํ–ˆ๋“ฏ EgoVerse๋Š” 3D ์† keypoint ์ฃผ์„์„ ํฌํ•จํ•œ๋‹ค. ์ฆ‰ ์‚ฌ์ „ํ•™์Šต์˜ ์‚ฌ๋žŒ ๋ฐ์ดํ„ฐ๋Š” ๋กœ๋ด‡ action์€ ์—†์ง€๋งŒ ์† motion ๋ผ๋ฒจ์€ ์žˆ๋‹ค. ํ”„๋กœ์ ํŠธ ํŽ˜์ด์ง€์˜ โ€œ44 % egocentric human video, no action labelsโ€๋ผ๋Š” ๋ฌธ๊ตฌ๋Š” ์ด ์ ์—์„œ ๋…ผ๋ฌธ ๋ณธ๋ฌธ๊ณผ ์–ด๊ธ‹๋‚œ๋‹ค. ์ด ๋ฐ–์— SFT์—๋Š” Pixmo-Cap, Molmo2-ER, RoboPoint, RoboVQA ๋“ฑ ๋ณด์กฐ VQA ๋ฐ์ดํ„ฐ๊ฐ€ ์„ž์ธ๋‹ค.

ํ•™์Šต ์ˆœ์„œ(ํ‘œ 5). ์„ธ ๋‹จ๊ณ„๊ฐ€ ์ˆœ์„œ๋Œ€๋กœ ์ด์–ด์ง„๋‹ค.

์„ค์ • VLM SFT Action SFT RL
์ดˆ๊ธฐํ™” Qwen3-VL-2B VLM SFT Action SFT
ํ•™์Šต ๋ชจ๋“ˆ ์–ธ์–ด๋ชจ๋ธ + future projector action expert ์–ธ์–ด๋ชจ๋ธ
๋ชฉ์ ํ•จ์ˆ˜ CoD/VQA CE + 3 \mathcal L_{\mathrm{future}} masked flow matching GRPO/GDPO + ์•ฝํ•œ SFT replay
๋ฐ์ดํ„ฐ ๋กœ๋ด‡ + ์‚ฌ๋žŒ motion, ๋ณด์กฐ VQA ๋กœ๋ด‡ ๊ถค์  ๋กœ๋ด‡ + ์‚ฌ๋žŒ motion
iteration 150k 50k (ํ˜„์žฌ view 5k + history 45k) 2k
ํ•™์Šต๋ฅ  VLM 10^{-5}, projector 10^{-4} 10^{-4}\to5\times10^{-5} 10^{-6}
batch 128 128 128
seed 42 43 / 44 45
์ž์› 16ร—8 GPU 8ร—8 ํ›„ 16ร—8 GPU 8ร—8 GPU

Action SFT์—์„œ VLM์€ frozen์ด๊ณ  <think>...</think>๋Š” ๋น„์›Œ ๋‘”๋‹ค(knowledge insulation ์ธ์šฉ). ๊ทธ ๋’ค embodiment๋ณ„ ์‚ฌํ›„ํ•™์Šต์ด ์žˆ๋‹ค. ThinkWorld-LIBERO๋Š” LIBERO 4๊ฐœ suite ๋ฐ๋ชจ๋กœ ์ „์ฒด ๋ชจ๋ธ์„ 50k iteration full fine-tuning(H100 32์žฅ)ํ•˜๊ณ , ThinkWorld-YAM์€ MolmoAct2-BimanualYAM์œผ๋กœ ์ ์‘(H100 64์žฅ)ํ•œ ๋’ค ์‹ค๊ธฐ ๊ณผ์ œ๋ณ„ fine-tuning์˜ ์ดˆ๊ธฐ๊ฐ’์ด ๋œ๋‹ค.

์ˆœ์„œ๊ฐ€ ๋งŒ๋“œ๋Š” ๋ฏธ๋ฌ˜ํ•œ ์ . Action SFT๊ฐ€ RL๋ณด๋‹ค ๋จผ์ €๋‹ค. RL์€ VLM ๊ฐ€์ค‘์น˜๋ฅผ ๋ฐ”๊พธ๋Š”๋ฐ action expert๋Š” ๊ทธ ์‚ฌ์ด frozen์ด๋‹ค. ๋”ฐ๋ผ์„œ RL ์งํ›„์˜ expert๋Š” ์ž๊ธฐ๊ฐ€ ํ•™์Šตํ•œ ๊ฒƒ๊ณผ ์กฐ๊ธˆ ๋‹ค๋ฅธ VLM KV๋ฅผ ๋ฐ›๋Š”๋‹ค. ํ•™์Šต๋ฅ  10^{-6}, KL 0.04, 2k iteration์ด ์ด drift๋ฅผ ์ž‘๊ฒŒ ๋ฌถ๊ณ , ์ดํ›„ ์‚ฌํ›„ํ•™์Šต(LIBERO๋Š” ์ „์ฒด fine-tuning, YAM์€ VLM LoRA + expert ์ „์ฒด ์—…๋ฐ์ดํŠธ)์ด ๋‹ค์‹œ ๋งž์ถ˜๋‹ค. ๊ฒฐ๊ตญ RL์ด ์ œ์–ด์— ๋ฏธ์น˜๋Š” ํšจ๊ณผ๋Š” โ€œVLM ํ‘œํ˜„์ด ์กฐ๊ธˆ ๋ฐ”๋€ ์ฑ„ ์‚ฌํ›„ํ•™์Šต์„ ๊ฑฐ์นœ ๊ฒฐ๊ณผโ€๋กœ๋งŒ ์ธก์ •๋œ๋‹ค.

์ง๊ด€: ์‹คํ–‰๋˜์ง€ ์•Š๋Š” ์ƒ๊ฐ์ด ๋ฌด์—‡์„ ๋ฐ”๊พธ๋Š”๊ฐ€

ThinkWorld๋ฅผ ๊ฐ€์žฅ ์งง๊ฒŒ ์š”์•ฝํ•˜๋ฉด inverse model๊ณผ forward model์˜ ์ง์ด๋‹ค. VLM์ด CoD๋ฅผ ์ƒ˜ํ”Œ๋งํ•˜๋Š” ๊ฒƒ์€ โ€œ์ด ์žฅ๋ฉด์—์„œ ๋‹ค์Œ 1์ดˆ์— ์†๋ชฉ์ด ์–ด๋–ป๊ฒŒ ์›€์ง์ผ๊นŒโ€๋ผ๋Š” inverse ์ถ”์ธก์ด๊ณ , frozen future projector๋Š” โ€œ๊ทธ๋ ‡๊ฒŒ ์›€์ง์ด๋ฉด ์žฅ๋ฉด์ด ์ด๋ ‡๊ฒŒ ๋œ๋‹คโ€๋Š” forward model์ด๋‹ค. ๋ณด์ƒ์€ ์ถ”์ธก์ด ๊ด€์ธก๋œ ๋ฏธ๋ž˜๋ฅผ ์„ค๋ช…ํ•˜๋Š”์ง€๋กœ ๋งค๊ธด๋‹ค. analysis-by-synthesis์™€ ๊ฐ™์€ ๊ตฌ์กฐ๋ผ์„œ, ๋ฏธ๋ž˜ ํ”„๋ ˆ์ž„๋งŒ ์žˆ์œผ๋ฉด ์ถ”์ธก์„ ์ฑ„์ ํ•  ์ˆ˜ ์žˆ๋‹ค๋Š” ์ ์ด ๋งค๋ ฅ์ด๋‹ค.

๊ทธ๋Ÿฐ๋ฐ ์ด ๊ตฌ์กฐ์—๋Š” ๋‘ ๊ฐ€์ง€ ์ˆจ์€ ์กฐ๊ฑด์ด ์žˆ๋‹ค.

์ฒซ์งธ, forward model์˜ ํŒ๋ณ„๋ ฅ์ด ๋ณด์ƒ์˜ ํ•ด์ƒ๋„๋ฅผ ์ •ํ•œ๋‹ค. future projector๋Š” SFT์—์„œ ์ •๋‹ต CoD๋ฅผ teacher forcing์œผ๋กœ ๋ฐ›์•„ ํ•™์Šต๋๋‹ค. ํ‘œ 2๋ฅผ ๋ณด๋ฉด ๊ฐ™์€ ์žฅ๋ฉด์—์„œ ์ •๋‹ต CoD์™€ ์„ž์€ CoD์˜ ์˜ˆ์ธก ์ฐจ์ด๋Š” ์ „์ฒด patch cosine์œผ๋กœ 0.74 ๋Œ€ 0.71, ์›€์ง์ž„ ์ƒ์œ„ 25% patch๋กœ 0.62 ๋Œ€ 0.55๋‹ค. ๋ณด์ƒ์€ ์ด ๋‘ ์ข…๋ฅ˜์˜ ํ‰๊ท ์— ๊ฐ€๊นŒ์šด ์–‘์ด๋ฏ€๋กœ(๊ฐ€์ค‘์น˜ ์ •์˜๊ฐ€ ์ƒ์œ„ 25% ๋งˆ์Šคํฌ์™€ ๊ฐ™์ง€๋Š” ์•Š๋‹ค), ๊ทธ๋ฃน ์•ˆ CoD 4๊ฐœ์˜ ๋ณด์ƒ ์ฐจ์ด๋Š” ๋Œ€๋žต ์ˆ˜ ๋ฐฑ๋ถ„์˜ ์ผ ๋‹จ์œ„์ผ ๊ฒƒ์ด๋‹ค(ํ•„์ž ์ถ”๋ก ). GRPO๋Š” ๊ทธ๋ฃน ์•ˆ์—์„œ ํ‘œ์ค€ํ™”ํ•˜๋ฏ€๋กœ ์ž‘์€ ์ฐจ์ด๋„ ํฐ advantage๋กœ ์ฆํญ๋œ๋‹ค. ์žฅ์ ์€ ์žฅ๋ฉด๋ณ„ ์˜ˆ์ธก ๋‚œ์ด๋„๋ผ๋Š” ๊ณตํ†ต ์„ฑ๋ถ„์ด ์ง€์›Œ์ง„๋‹ค๋Š” ๊ฒƒ์ด๊ณ , ๋‹จ์ ์€ forward model์˜ ์žก์Œ๋„ ๊ฐ™์ด ์ฆํญ๋œ๋‹ค๋Š” ๊ฒƒ์ด๋‹ค. ๋…ผ๋ฌธ์€ RL ์ค‘ ๋ณด์ƒ ๋ถ„ํฌ๋‚˜ ๊ทธ๋ฃน ๋‚ด ๋ถ„์‚ฐ์„ ๋ณด๊ณ ํ•˜์ง€ ์•Š๋Š”๋‹ค.

๋‘˜์งธ, CoD๋Š” ๋ฐฐํฌ ๋•Œ ์‹คํ–‰๋˜์ง€ ์•Š๋Š”๋‹ค. action expert๋Š” ์ž…๋ ฅ ํ† ํฐ์˜ KV๋งŒ ๋ฐ›๊ณ , ์ƒ์„ฑ๋œ CoD ํ† ํฐ์€ ๊ทธ context์— ์—†๋‹ค. ์ฆ‰ CoD๊ฐ€ action์„ โ€œ์กฐ๊ฑดํ™”โ€ํ•˜๋Š” ๊ฒฝ๋กœ๊ฐ€ ์—†๊ณ , ๋ชจ๋“  ํšจ๊ณผ๋Š” ๊ฐ€์ค‘์น˜๋ฅผ ํ†ตํ•ด์„œ๋งŒ ์ „๋‹ฌ๋œ๋‹ค. ์ด ์ ์—์„œ ThinkWorld์˜ โ€œthinkโ€๋Š” chain-of-thought๋ผ๊ธฐ๋ณด๋‹ค auxiliary objective์— ๊ฐ€๊น๋‹ค. ๋ธ”๋กœ๊ทธ์˜ Fast-WAM ๋ฆฌ๋ทฐ๊ฐ€ ๋‹ค๋ฃฌ ์งˆ๋ฌธ, ๊ณง world action model์˜ ์ด๋“์ด ํ•™์Šต ๋•Œ์˜ ๋ฏธ๋ž˜ ์˜ˆ์ธก ๋ชฉ์ ํ•จ์ˆ˜์—์„œ ์˜ค๋Š”์ง€ ์ถ”๋ก  ๋•Œ์˜ ์ƒ์ƒ์—์„œ ์˜ค๋Š”์ง€์™€ ์ •ํ™•ํžˆ ๊ฐ™์€ ์ง€์ ์ด๋‹ค. Fast-WAM์€ ์ „์ž๊ฐ€ ์ค‘์š”ํ•˜๋‹ค๊ณ  ์ฃผ์žฅํ–ˆ๊ณ , ThinkWorld๋Š” ์„ค๊ณ„๋ถ€ํ„ฐ ์ „์ž๋งŒ ์“ด๋‹ค. ํ‘œ 3์—์„œ future prediction ์†์‹ค ํ•˜๋‚˜๊ฐ€ +9.7%p๋ฅผ ๋งŒ๋“ ๋‹ค๋Š” ๊ฒฐ๊ณผ๋„ ์ด ๊ด€์ ๊ณผ ๋งž๋Š”๋‹ค. Cosmos Policy ๋ฆฌ๋ทฐ์—์„œ ๋ฏธ๋ž˜ ์ƒํƒœ ์˜ˆ์ธก์„ ๋นผ์ž ์„ฑ๋Šฅ์ด ํฌ๊ฒŒ ๋–จ์–ด์กŒ๋˜ ์ ˆ์ œ์™€๋„ ๊ฐ™์€ ๋ฐฉํ–ฅ์ด๋‹ค.

์ด๋ ‡๊ฒŒ ๋ณด๋ฉด ์ €์ž๋“ค์˜ ์ฃผ์žฅ์€ โ€œ์ถ”๋ก ํ•˜๋ฉด ์ž˜ํ•œ๋‹คโ€๊ฐ€ ์•„๋‹ˆ๋ผ โ€œ์ถ”๋ก ํ•˜๋„๋ก ํ•™์Šต์‹œํ‚ค๋ฉด ํ‘œํ˜„์ด ์ข‹์•„์ง„๋‹คโ€๋กœ ์ฝ์–ด์•ผ ์ •ํ™•ํ•˜๋‹ค. ๋…ผ๋ฌธ ๊ฒฐ๋ก ์˜ ๋ฌธ๊ตฌ(โ€œtraining-time reasoning can support strong task performance while preserving low inference latencyโ€)๋„ ๊ทธ๋ ‡๊ฒŒ ์“ฐ์—ฌ ์žˆ๋‹ค.

์‹คํ—˜ 1: ์‹ค๊ธฐ ์ผ๋ฐ˜ํ™” (ยง4.2, Fig. 3, ํ‘œ 6, ๋ถ€๋ก B.2ยทB.3ยทC.1)

์…‹์—…. bimanual YAM(ํŒ” 2๊ฐœ), RealSense D405 3๋Œ€(top 1, ์†๋ชฉ 2), RGB๋งŒ ์‚ฌ์šฉ. ์ •์ฑ… ์ถ”๋ก ์€ RTX 3090 ํ•œ ์žฅ์—์„œ ๋Œ๊ณ , ๋ชจ๋“  ์ •์ฑ…์„ ๊ฐ™์€ 15 Hz๋กœ ์งˆ์˜ยท์‹คํ–‰ํ•˜๋ฉฐ action chunk์˜ ์•ž ์ ˆ๋ฐ˜์„ ์‹คํ–‰ํ•œ ๋’ค ๋‹ค์‹œ ๊ณ„ํšํ•œ๋‹ค. ๊ณผ์ œ๋ณ„ ๋ฐ๋ชจ๋Š” color matching 60๊ฐœ, cup hanging 45๊ฐœ, object sorting 100๊ฐœ์ด๊ณ , ๊ฐ ๊ณผ์ œ์—์„œ ์ด ๋ฐ๋ชจ๋กœ ๊ณผ์ œ ์ „์šฉ ์ •์ฑ… ํ•˜๋‚˜๋ฅผ fine-tuningํ•œ๋‹ค. ThinkWorld๋Š” ThinkWorld-YAM์—์„œ ์‹œ์ž‘ํ•ด 50,000 step, VLM์€ LoRA, action DiT๋Š” ์ „์ฒด ์—…๋ฐ์ดํŠธํ•œ๋‹ค. ๋ฒ ์ด์Šค๋ผ์ธ(Diffusion Policy, MolmoAct2, LaWAM)์€ LeRobot ๊ณต์‹ ๋ ˆํฌ์˜ ๋ชจ๋ธ๋ณ„ ๋ ˆ์‹œํ”ผ๋กœ 50,000 step ํ•™์Šตํ–ˆ๋‹ค.


Fig. 9. ์‹ค๊ธฐ ์…‹์—…. YAM ํŒ” 2๊ฐœ์™€ RealSense D405 ์นด๋ฉ”๋ผ 3๋Œ€(top view 1, ์†๋ชฉ 2).

Fig. 3. ๊ณผ์ œ๋ณ„ ID/OOD ์„ฑ๊ณต๋ฅ ๊ณผ OOD ์กฐ๊ฑด ์˜ˆ์‹œ. color matching์€ ์ƒˆ ์ƒ‰ยท์ƒˆ ๋ฌผ์ฒด, cup hanging์€ ์ƒˆ ๋ฌผ์ฒดยท์ƒˆ ํ™˜๊ฒฝ(๋‹ค๋ฅธ ๊ฑฐ์น˜๋Œ€), sorting์€ ์ƒˆ ๋ฌผ์ฒดยทํ•™์Šต์— ์—†๋˜ ๊ถค์ ์„ ์š”๊ตฌํ•œ๋‹ค. ์˜ค์ฐจ ๋ง‰๋Œ€์˜ ์ •์˜๋Š” ์บก์…˜์— ์—†๋‹ค.

ํ‘œ 6. ์‹ค๊ธฐ ์„ฑ๊ณต ํšŸ์ˆ˜/์‹œํ–‰(์„ฑ๊ณต๋ฅ  %).

๋ชจ๋ธ Color ID Color OOD Cup ID Cup OOD Sort ID Sort OOD Macro Micro
Diffusion Policy 18/30 (60.0) 11/30 (36.7) 9/15 (60.0) 1/15 (6.7) 4/15 (26.7) 1/15 (6.7) 32.8 36.7
MolmoAct2 24/30 (80.0) 8/30 (26.7) 11/15 (73.3) 14/15 (93.3) 12/15 (80.0) 3/15 (20.0) 62.2 60.0
LaWAM 16/30 (53.3) 8/30 (26.7) 9/15 (60.0) 12/15 (80.0) 4/15 (26.7) 4/15 (26.7) 45.6 44.2
ThinkWorld 30/30 (100) 24/30 (80.0) 15/15 (100) 15/15 (100) 15/15 (100) 13/15 (86.7) 94.4 93.3

color matching์€ IDยทOOD ๊ฐ 6๊ฐœ ์กฐ๊ฑด, ๋‚˜๋จธ์ง€ ๋‘ ๊ณผ์ œ๋Š” ๊ฐ 3๊ฐœ ์กฐ๊ฑด์ด๊ณ  ์กฐ๊ฑด๋‹น 5ํšŒ๋‹ค. macro๋Š” ์—ฌ์„ฏ ์นธ ์„ฑ๊ณต๋ฅ ์˜ ๋‹จ์ˆœ ํ‰๊ท , micro๋Š” 120ํšŒ ์ „์ฒด๋ฅผ ํ•ฉ์นœ ๊ฐ’์ด๋‹ค. ๋„ค ํ–‰ ๋ชจ๋‘ macroยทmicro๋ฅผ ์นธ ๊ฐ’์—์„œ ๋‹ค์‹œ ๊ณ„์‚ฐํ•˜๋ฉด ํ‘œ์™€ ๋งž๋Š”๋‹ค(ํ•„์ž ๊ฒ€์‚ฐ). Fig. 1์˜ ID/OOD ๋ง‰๋Œ€(ThinkWorld 100/88.9, MolmoAct2 77.8/46.7 ๋“ฑ)๋Š” ๊ณผ์ œ ์„ธ ๊ฐœ์˜ ์„ฑ๊ณต๋ฅ ์„ ๋‹จ์ˆœ ํ‰๊ท ํ•œ ๊ฐ’์ด๋‹ค.

ํ†ต๊ณ„(ํ•„์ž ๊ณ„์‚ฐ, Fisher ์ •ํ™• ๊ฒ€์ •). OOD ํ•ฉ๊ณ„ 52/60 ๋Œ€ MolmoAct2 25/60์€ p\approx4\times10^{-7}, 95% Wilson ๊ตฌ๊ฐ„์€ 75.8~93.1% ๋Œ€ 30.1~54.3%๋กœ ๊ฒน์น˜์ง€ ์•Š๋Š”๋‹ค. ์นธ๋ณ„๋กœ ๋ณด๋ฉด color OOD(24/30 vs 8/30, p\approx7\times10^{-5})์™€ sorting OOD(13/15 vs LaWAM 4/15, p\approx0.003)๋Š” ๋šœ๋ ทํ•˜๊ณ , cup OOD(15/15 vs MolmoAct2 14/15)๋Š” p=1.0์œผ๋กœ ์ฐจ์ด๊ฐ€ ์—†๋‹ค.

๋ณธ๋ฌธ ์„œ์ˆ ๊ณผ ํ‘œ์˜ ์–ด๊ธ‹๋‚จ ๋‘ ๊ฐ€์ง€.

  • ๋ณธ๋ฌธ์€ โ€œin-domain์—์„œ๋Š” ๋ฐฉ๋ฒ•๋“ค์ด ๋น„์Šทํ•˜๊ณ  OOD์—์„œ ์ฐจ์ด๊ฐ€ ์ปค์ง„๋‹คโ€๊ณ  ์“ด๋‹ค. ๊ทธ๋Ÿฐ๋ฐ ID ํ•ฉ๊ณ„๋„ 60/60 ๋Œ€ MolmoAct2 47/60์œผ๋กœ p\approx1.2\times10^{-4}(ํ•„์ž ๊ณ„์‚ฐ)๋‹ค. Diffusion Policy(31/60)์™€ LaWAM(29/60)์€ ID์—์„œ ์ด๋ฏธ ์ ˆ๋ฐ˜ ์ˆ˜์ค€์ด๋‹ค. OOD ๊ฒฉ์ฐจ์˜ ์ผ๋ถ€๋Š” ์ผ๋ฐ˜ํ™” ๋Šฅ๋ ฅ์ด ์•„๋‹ˆ๋ผ ์ „๋ฐ˜์ ์ธ ์ˆ˜์ค€ ์ฐจ์ด๋กœ ๋ด์•ผ ํ•œ๋‹ค. ๋‚™ํญ์œผ๋กœ ๋‹ค์‹œ ๋ณด๋ฉด ThinkWorld๋Š” 100 โ†’ 86.7(โˆ’13.3%p), MolmoAct2๋Š” 78.3 โ†’ 41.7(โˆ’36.7%p)์ด๋ผ โ€œ๋œ ๋ฌด๋„ˆ์ง„๋‹คโ€๋Š” ์ฃผ์žฅ ์ž์ฒด๋Š” ์„ฑ๋ฆฝํ•œ๋‹ค.
  • Fig. 3 ์บก์…˜์€ OOD์—์„œ โ€œ๋ฒ ์ด์Šค๋ผ์ธ๋“ค์ด ํฌ๊ฒŒ ๋–จ์–ด์ง„๋‹คโ€๊ณ  ํ•˜์ง€๋งŒ, cup hanging์—์„œ๋Š” MolmoAct2(73.3 โ†’ 93.3)์™€ LaWAM(60.0 โ†’ 80.0) ๋ชจ๋‘ OOD๊ฐ€ ID๋ณด๋‹ค ๋†’๋‹ค. ์ด ๊ณผ์ œ์˜ OOD ์กฐ๊ฑด(์ƒˆ ์ปต, ๋‹ค๋ฅธ ๊ฑฐ์น˜๋Œ€)์ด ์‹ค์ œ๋กœ ๋” ์–ด๋ ค์šด ์กฐ๊ฑด์ธ์ง€ ์˜๋ฌธ์ด ๋“ ๋‹ค. ๋…ผ๋ฌธ์€ ์ด ์—ญ์ „์„ ์„ค๋ช…ํ•˜์ง€ ์•Š๋Š”๋‹ค.

๊ณต์ •์„ฑ ์ ๊ฒ€. ThinkWorld๋Š” 704์‹œ๊ฐ„์˜ YAM ๋ฐ์ดํ„ฐ๋ฅผ ํฌํ•จํ•œ ์‚ฌ์ „ํ•™์Šต๊ณผ ThinkWorld-YAM ์ ์‘์„ ๊ฑฐ์นœ ์ฒดํฌํฌ์ธํŠธ์—์„œ ์ถœ๋ฐœํ•œ๋‹ค. MolmoAct2 ๋ฒ ์ด์Šค๋ผ์ธ์ด ์–ด๋–ค ์ฒดํฌํฌ์ธํŠธ(์˜ˆ: MolmoAct2์˜ BimanualYAM ์‚ฌํ›„ํ•™์Šต๋ณธ)์—์„œ ์‹œ์ž‘ํ–ˆ๋Š”์ง€, LaWAM์ด ๋ฌด์—‡์œผ๋กœ ์ดˆ๊ธฐํ™”๋๋Š”์ง€๋Š” ๋…ผ๋ฌธ์— ์—†๋‹ค. โ€œLeRobot ๊ณต์‹ ๋ ˆ์‹œํ”ผโ€๋ผ๊ณ ๋งŒ ์ ํ˜€ ์žˆ๋‹ค. Diffusion Policy๋Š” ๋Œ€๊ทœ๋ชจ ์‚ฌ์ „ํ•™์Šต์ด ์—†๋Š” ๋ชจ๋ธ์ด๋ผ ๊ฐ™์€ ํ‘œ์—์„œ ๋น„๊ต ๋Œ€์ƒ์ด ๋˜๊ธฐ ์–ด๋ ต๋‹ค. ๋˜ โ€œOODโ€๋Š” ๊ณผ์ œ๋ณ„ fine-tuning ๋ฐ์ดํ„ฐ ๊ธฐ์ค€์˜ ๋ถ„ํฌ ๋ฐ–์ด๋‹ค. ์ƒˆ ๋ฌผ์ฒดยท์ƒ‰์ด 4,276์‹œ๊ฐ„ ์‚ฌ์ „ํ•™์Šต ์ฝ”ํผ์Šค(YAM 704์‹œ๊ฐ„ ํฌํ•จ)์— ์žˆ์—ˆ๋Š”์ง€๋Š” ํ™•์ธํ•  ์ˆ˜ ์—†๋‹ค. ํ‰๊ฐ€์ž, ์‹œํ–‰ ์ˆœ์„œ, ์กฐ๊ฑด์˜ ๋ฌด์ž‘์œ„ํ™”๋Š” ๋…ผ๋ฌธ์— ์ ํ˜€ ์žˆ์ง€ ์•Š๋‹ค. ํ•™์Šต ์‹œ๋“œ๋Š” 1๊ฐœ๋‹ค(๋ถ€๋ก D).


MolmoAct2, sorting OOD(์‹คํŒจ ์—ํ”ผ์†Œ๋“œ)

ThinkWorld, sorting OOD(์„ฑ๊ณต ์—ํ”ผ์†Œ๋“œ)
ํ”„๋กœ์ ํŠธ ํŽ˜์ด์ง€์˜ side-by-side ์˜์ƒ ์ค‘ sorting OOD ์กฐ๊ฑด. ๊ฐ ์ •์ฑ…์˜ ๋Œ€ํ‘œ ์—ํ”ผ์†Œ๋“œ ํ•œ ๊ฐœ์”ฉ์ด๋ฉฐ, ํŽ˜์ด์ง€๋Š” ์‹ค์‹œ๊ฐ„ ๋…นํ™”๋ผ๊ณ  ๋ฐํžŒ๋‹ค.

Fig. 10(์ฒซ ํŽ˜์ด์ง€). color matching์˜ (a) ํ•™์Šต ์›๊ฒฉ์กฐ์ž‘ ๋ฐ๋ชจ, (b) ID rollout, (c) OOD rollout์„ ๋„ค ๋ฐฉ๋ฒ• ๋ชจ๋‘ ํ”„๋ ˆ์ž„์œผ๋กœ ๋ณด์—ฌ ์ค€๋‹ค. ๋ถ€๋ก์˜ ๋‚˜๋จธ์ง€ ๋‘ ํŽ˜์ด์ง€๋Š” cup hanging๊ณผ sorting์ด๋‹ค.

์‹คํ—˜ 2: ์‚ฌ๋žŒ ์˜์ƒ์—์„œ skill composition (ยง4.3, Fig. 4, ๋ถ€๋ก B.3ยทC.1, Fig. 11)

์˜ค๋ธ ๊ณผ์ œ๋ฅผ atomic skill 4๊ฐœ(์—ด๊ธฐ, ์™ผ์ชฝ ๋ฌผ์ฒด ๋„ฃ๊ธฐ, ์˜ค๋ฅธ์ชฝ ๋ฌผ์ฒด ๋„ฃ๊ธฐ, ๋‹ซ๊ธฐ)๋กœ ์ชผ๊ฐœ ๋กœ๋ด‡ ๋ฐ๋ชจ๋Š” ๊ฐ skill๋งŒ ์ค€๋‹ค. ์ „์ฒด ์ˆœ์„œ(์—ด๊ธฐ โ†’ ์™ผ์ชฝ ๋„ฃ๊ธฐ โ†’ ๋‹ซ๊ธฐ ๋“ฑ)๋Š” ์‚ฌ๋žŒ ์˜์ƒ์—์„œ๋งŒ ๋ณด์—ฌ ์ค€๋‹ค. ๋ถ€๋ก์— ๋”ฐ๋ฅด๋ฉด ๋กœ๋ด‡ atomic ๊ถค์  100 ์—ํ”ผ์†Œ๋“œ์™€ ์ „์ฒด ์ˆœ์„œ๋ฅผ ๋‹ด์€ ์‚ฌ๋žŒ ์˜์ƒ 90 ์—ํ”ผ์†Œ๋“œ๋กœ ๋ชจ๋ธ ํ•˜๋‚˜๋ฅผ co-trainingํ•œ๋‹ค. ์‚ฌ๋žŒ ์˜์ƒ ์ƒ˜ํ”Œ์—๋Š” VLM future prediction ์†์‹ค๋งŒ ์ ์šฉํ•˜๊ณ  action DiT ์†์‹ค์€ ๋บ€๋‹ค.


Fig. 4. ์œ„: ๋กœ๋ด‡ atomic skill. ๊ฐ€์šด๋ฐ: ์ „์ฒด ์ˆœ์„œ๋ฅผ ๋ณด์—ฌ ์ฃผ๋Š” ์‚ฌ๋žŒ ๋ฐ๋ชจ. ์•„๋ž˜: ThinkWorld๊ฐ€ open โ†’ put-left โ†’ close๋ฅผ ํ•œ rollout์—์„œ ์ด์–ด ์‹คํ–‰ํ•œ ์žฅ๋ฉด.

์‚ฌ๋žŒ ๋ฐ๋ชจ: open โ†’ put-L โ†’ close

ThinkWorld rollout: "open the oven, put the left object in the oven, then close the oven"
ํ”„๋กœ์ ํŠธ ํŽ˜์ด์ง€์˜ ์˜ค๋ธ skill composition ์˜์ƒ. ๋กœ๋ด‡ ํ•™์Šต ๋ฐ์ดํ„ฐ๋Š” atomic skill๋ฟ์ด๋‹ค.

Fig. 11(์˜ค๋ธ). (a) ๋กœ๋ด‡ atomic ๊ถค์ , (b) ์‚ฌ๋žŒ ๋ฐ๋ชจ ๋‘ ์ข…๋ฅ˜(open โ†’ close, open โ†’ put-L โ†’ close), (c) ์„ฑ๊ณต rollout๊ณผ ๊ทธ๋•Œ ์ค€ ์ž์—ฐ์–ด ์ง€์‹œ๋ฌธ. ์ง€์‹œ๋ฌธ ์ž์ฒด๊ฐ€ skill ์ˆœ์„œ๋ฅผ ๋ฌธ์žฅ์œผ๋กœ ๋‚˜์—ดํ•œ๋‹ค.

Fig. 11(์„œ๋ž, ์ด์–ด์ง€๋Š” ํŽ˜์ด์ง€). ์œ„ยท์•„๋ž˜ ์„œ๋ž์˜ ์—ด๊ธฐยท๋„ฃ๊ธฐยท๋‹ซ๊ธฐ ์กฐํ•ฉ ์„ธ ๊ฐ€์ง€๋ฅผ ๊ฐ™์€ ๋ฐฉ์‹์œผ๋กœ ๋ณด์—ฌ ์ค€๋‹ค.

์ด ์‹คํ—˜์€ ์ œ๋ชฉ์˜ ๊ธฐ์—ฌ ์ค‘ โ€œhuman-to-robot skill transferโ€๋ฅผ ์ง์ ‘ ๊ฒจ๋ƒฅํ•˜์ง€๋งŒ, ๊ทผ๊ฑฐ์˜ ํ˜•ํƒœ๋Š” ์ •์„ฑ ์˜ˆ์‹œ๋ฟ์ด๋‹ค. ์„ฑ๊ณต๋ฅ , ์‹œํ–‰ ์ˆ˜, ๋ฒ ์ด์Šค๋ผ์ธ ์ˆ˜์น˜๊ฐ€ ์—†๋‹ค. ๋ณธ๋ฌธ์€ โ€œ๊ธฐ์กด end-to-end VLA๋Š” ์ด๋Ÿฐ ์กฐํ•ฉ์ด ์–ด๋ ต๋‹คโ€๊ณ  ์“ฐ์ง€๋งŒ MolmoAct2 ๋“ฑ์„ ์ด ๊ณผ์ œ์—์„œ ๋Œ๋ฆฐ ๊ฒฐ๊ณผ๋Š” ์—†๋‹ค. ๋” ์ค‘์š”ํ•œ ๋นˆ์นธ์€ ๋Œ€์กฐ๊ตฐ์ด๋‹ค. Fig. 11(c)์˜ ์ง€์‹œ๋ฌธ์€ โ€œopen the oven, put the left object in the oven, then close the ovenโ€์ฒ˜๋Ÿผ ์ˆœ์„œ๋ฅผ ๋ฌธ์žฅ์œผ๋กœ ๋‹ค ์ ๋Š”๋‹ค. ๋กœ๋ด‡ atomic ๋ฐ์ดํ„ฐ๋งŒ์œผ๋กœ ํ•™์Šตํ•œ ๋ชจ๋ธ์— ๊ฐ™์€ ์ง€์‹œ๋ฌธ์„ ์คฌ์„ ๋•Œ ์–ด๋–ป๊ฒŒ ๋˜๋Š”์ง€๊ฐ€ ์žˆ์–ด์•ผ โ€œ์‚ฌ๋žŒ ์˜์ƒ์ด ์กฐํ•ฉ์„ ๊ฐ€๋ฅด์ณค๋‹คโ€์™€ โ€œ์–ธ์–ด๊ฐ€ ์ˆœ์„œ๋ฅผ ์•Œ๋ ค ์คฌ๊ณ  ์ •์ฑ…์€ atomic skill์„ ์ด์–ด ๋ถ™์˜€์„ ๋ฟ์ด๋‹คโ€๋ฅผ ๊ฐ€๋ฅผ ์ˆ˜ ์žˆ๋‹ค. ๋˜ ์ด ์‹คํ—˜์—์„œ ์‚ฌ๋žŒ ์˜์ƒ์ด ๋ฐ›๋Š” ์‹ ํ˜ธ๋Š” future prediction ์†์‹ค์ด๊ณ , CoD ๊ฐ๋…์ด๋‚˜ world-imagination RL์€ ์“ฐ์ด์ง€ ์•Š๋Š”๋‹ค. ์ฆ‰ ThinkWorld์˜ RL ๊ตฌ์„ฑ์š”์†Œ๋Š” ์ด ๊ฒฐ๊ณผ์— ๊ด€์—ฌํ•˜์ง€ ์•Š๋Š”๋‹ค.

์‹คํ—˜ 3: LIBERO์™€ LIBERO-PRO (ยง4.4, ํ‘œ 1, ๋ถ€๋ก B.1)

ThinkWorld-LIBERO๋Š” ํ‘œ์ค€ LIBERO ํ•™์Šต ๋ฐ์ดํ„ฐ๋กœ๋งŒ ์‚ฌํ›„ํ•™์Šตํ•˜๊ณ , LIBERO-PRO๋Š” ๊ทธ ์ •์ฑ…์„ ์ถ”๊ฐ€ ์ ์‘ ์—†์ด ํ‰๊ฐ€ํ•œ๋‹ค. LIBERO-PRO๋Š” ๋ฌผ์ฒด ์†์„ฑ, ๋ฌผ์ฒด ์œ„์น˜, ์ง€์‹œ๋ฌธ ์˜๋ฏธ, ๊ณผ์ œ ๋ชฉํ‘œ, ํ™˜๊ฒฝ์„ ํ†ต์ œํ•ด ๋ฐ”๊พผ๋‹ค. ๋ฒ ์ด์Šค๋ผ์ธ์˜ LIBERO-PRO ์ˆ˜์น˜๋Š” LIBERO-PRO ๊ณต์‹ ๋ ˆํฌ์—์„œ ๊ฐ€์ ธ์™”๊ณ , VLA-JEPA๋งŒ ์ €์ž๋“ค์ด ์žฌํ˜„ํ–ˆ๋‹ค(โ€ ).

ํ‘œ 1. LIBERO์™€ LIBERO-PRO ์„ฑ๊ณต๋ฅ (%).

๋ชจ๋ธ ํŒŒ๋ผ๋ฏธํ„ฐ(B) Spatial Object Goal Long LIBERO ํ‰๊ท  Obj. Pos. Sem. Task Env. PRO ํ‰๊ท 
OpenVLA 7.5 84.7 88.4 79.2 53.7 76.5 93.0 0.0 97.3 0.0 68.0 51.7
ฯ€0 3.2 96.8 98.8 95.8 85.2 94.2 90.5 0.0 90.5 0.0 38.8 44.0
ฯ€0.5 3.4 98.8 98.2 98.0 92.4 96.9 96.0 20.8 95.8 0.8 52.8 53.2
MolmoAct 8.1 87.0 95.4 87.6 77.2 86.6 76.0 1.5 85.8 1.5 โ€“ 41.2
VLA-JEPA 2.8 96.2 99.6 97.2 95.8 97.2 80.4 3.5 97.2 20.8 41.0 48.5โ€ 
ThinkWorld 2.9 98.2 98.8 97.8 94.2 97.3 73.3 18.2 93.9 31.9 60.9 55.6

LIBERO-PRO ๊ฐ ์ถ•์€ Goal, Spatial, LIBERO-10, Object ๋„ค suite์˜ ์‚ฐ์ˆ  ํ‰๊ท ์ด๋‹ค. OpenVLAยทฯ€0ยทฯ€0.5ยทMolmoAct์˜ ์ถ•๋ณ„ ๊ฐ’์€ LIBERO-PRO ๋ ˆํฌ ํ‘œ์˜ suite๋ณ„ ๊ฐ’์„ ํ‰๊ท ํ•˜๋ฉด ๊ทธ๋Œ€๋กœ ๋‚˜์˜จ๋‹ค(ํ•„์ž ๋Œ€์กฐ). MolmoAct๋Š” Environment ๊ฐ’์ด ์—†์–ด ํ‰๊ท ์ด ๋„ค ์ถ• ๊ธฐ์ค€์ด๋‹ค.

๊ฒ€์‚ฐ๊ณผ ๋ถ„ํ•ด(ํ•„์ž ๊ณ„์‚ฐ).

  • LIBERO ํ‰๊ท ์˜ ์ฐจ์ด. ThinkWorld์˜ suite ํ‰๊ท ์€ 97.25, VLA-JEPA๋Š” 97.20์ด๋‹ค. ๋ฐ˜์˜ฌ๋ฆผ ํ‘œ๊ธฐ๋กœ๋Š” 97.3 ๋Œ€ 97.2์ง€๋งŒ ์‹ค์ œ ์ฐจ์ด๋Š” 0.05%p๋‹ค. suite๋ณ„ ๊ฐ’์ด ๋ชจ๋‘ 0.2์˜ ๋ฐฐ์ˆ˜๋ผ suite๋‹น 500ํšŒ(๊ณผ์ œ 10๊ฐœ ร— 50ํšŒ) ํ‰๊ฐ€์™€ ๋งž๋Š”๋ฐ, ๊ทธ๋ ‡๋‹ค๋ฉด 0.05%p๋Š” 2,000ํšŒ ์ค‘ 1ํšŒ๋‹ค. โ€œLIBERO ์ตœ๊ณ โ€๋Š” ์‚ฌ์‹ค์ƒ ๋™๋ฅ ์ด๋‹ค.
  • LIBERO-PRO ์šฐ์œ„์˜ ์ถœ์ฒ˜. ThinkWorld โˆ’ ฯ€0.5๋ฅผ ์ถ•๋ณ„๋กœ ๋นผ๋ฉด Object โˆ’22.7, Position โˆ’2.6, Semantic โˆ’1.9, Task +31.1, Environment +8.1์ด๋‹ค. ํ‰๊ท  ์ฐจ +2.4%p๋Š” Task ์ถ• ํ•˜๋‚˜(๊ธฐ์—ฌ +6.2%p)์—์„œ ๋‚˜์˜จ๋‹ค. Task ์ถ•์„ ๋นผ๊ณ  ๋„ค ์ถ• ํ‰๊ท ์„ ๋‚ด๋ฉด ฯ€0.5 66.4%, ThinkWorld 61.6%๋กœ ์ˆœ์„œ๊ฐ€ ๋’ค์ง‘ํžŒ๋‹ค. ๋ฐ˜๋Œ€๋กœ Object ์ถ•์€ ํ‘œ์˜ ์—ฌ์„ฏ ๋ชจ๋ธ ์ค‘ ๊ฐ€์žฅ ๋‚ฎ๋‹ค.
  • ๋ณธ๋ฌธ์ด ๊ณ ๋ฅธ ๋น„๊ต ๋Œ€์ƒ. ๋ณธ๋ฌธ์€ TaskยทEnvironment์—์„œ VLA-JEPA๋ณด๋‹ค 11.1%pยท19.9%p ๋†’๋‹ค๊ณ  ๊ฐ•์กฐํ•œ๋‹ค. ์‚ฐ์ˆ ์€ ๋งž๋‹ค. ๊ทธ๋Ÿฌ๋‚˜ Environment ์ถ•์—์„œ๋Š” ๊ฐ™์€ ํ‘œ์˜ OpenVLA(68.0)๊ฐ€ ThinkWorld(60.9)๋ณด๋‹ค ๋†’๋‹ค. VLA-JEPA๋Š” ํ‘œ์—์„œ ์œ ์ผํ•˜๊ฒŒ ์ €์ž๋“ค์ด ์ง์ ‘ ์žฌํ˜„ํ•œ ๋ฒ ์ด์Šค๋ผ์ธ์ด๊ธฐ๋„ ํ•˜๋‹ค.

ํ‘œ์— ์—†๋Š” ๋ชจ๋ธ. ํ‘œ 1์—๋Š” ์ด ๋…ผ๋ฌธ์˜ action expert ์ถœ์ฒ˜์ด์ž ์‹ค๊ธฐ ๋ฒ ์ด์Šค๋ผ์ธ์ธ MolmoAct2๊ฐ€ ์—†๋‹ค. ๋ธ”๋กœ๊ทธ์˜ MolmoAct2 ๋ฆฌ๋ทฐ๊ฐ€ ๊ธฐ๋กํ–ˆ๊ณ  ์› ๋…ผ๋ฌธ(arXiv:2605.02881) Table 8์—์„œ ๋‹ค์‹œ ํ™•์ธํ•œ ๊ฐ’์€ ๋‹ค์Œ๊ณผ ๊ฐ™๋‹ค.

๋ชจ๋ธ(MolmoAct2 ๋…ผ๋ฌธ Table 8) Spatial Object Goal Long LIBERO ํ‰๊ท 
GR00T N1.7 97.7 97.5 98.5 94.4 97.0
MolmoAct2 97.8 100.0 97.8 93.2 97.2
MolmoAct2-Think 98.8 99.8 98.5 95.4 98.1

MolmoAct2-Think(98.1)๋Š” ThinkWorld(97.3)๋ณด๋‹ค ๋†’๊ณ , MolmoAct2(97.2)๋Š” ์‚ฌ์‹ค์ƒ ๋™๋ฅ ์ด๋‹ค. ๋ธ”๋กœ๊ทธ์˜ ๋‹ค๋ฅธ ๋ฆฌ๋ทฐ๋“ค์ด ๊ธฐ๋กํ•œ LIBERO ๊ฐ’๋„ Cosmos Policy 98.5%, Fast-WAM 97.6%๋กœ ThinkWorld๋ณด๋‹ค ๋†’๋‹ค. ๋”ฐ๋ผ์„œ โ€œLIBERO best overallโ€์€ ํ‘œ 1์— ์˜ฌ๋ฆฐ ๋‹ค์„ฏ ๋ฒ ์ด์Šค๋ผ์ธ ์•ˆ์—์„œ๋งŒ ์„ฑ๋ฆฝํ•œ๋‹ค. ์ฐธ๊ณ ๋กœ arXiv e-print ์†Œ์Šค์—๋Š” ํ‘œ 1์— MolmoAct2 ํ–‰์ด ์ฃผ์„ ์ฒ˜๋ฆฌ๋ผ ๋‚จ์•„ ์žˆ๋‹ค. ๊ณต๊ฐœ๋œ ๋…ผ๋ฌธ์˜ ์ผ๋ถ€๊ฐ€ ์•„๋‹ˆ๋ฏ€๋กœ ๊ทธ ๊ฐ’์€ ์˜ฎ๊ธฐ์ง€ ์•Š๋Š”๋‹ค. ๋น ์ง„ ์ด์œ ๋Š” ๋…ผ๋ฌธ์— ์—†๋‹ค.

LIBERO-PRO์—์„œ MolmoAct2 ์ˆ˜์น˜๋Š” ๊ณต์‹ ๋ ˆํฌ์—๋„ ์—†์–ด ๋น„๊ตํ•  ์ˆ˜ ์—†๋‹ค. ThinkWorld์™€ ๊ฐ€์žฅ ๊ฐ€๊นŒ์šด ์•„ํ‚คํ…์ฒ˜(๊ฐ™์€ action expert, ๊ฐ™์€ YAM ๋ฐ์ดํ„ฐ)๊ฐ€ ์ •์ž‘ ์‹œ๋ฎฌ๋ ˆ์ด์…˜ ๋น„๊ต์—์„œ ๋น ์ง„ ๊ฒƒ์€, ThinkWorld์˜ ๊ธฐ์—ฌ(CoD, future prediction, RL)๋ฅผ ๊ทธ ์ถœ๋ฐœ์ ๊ณผ ๋ถ„๋ฆฌํ•ด ๋ณผ ๊ธฐํšŒ๋ฅผ ๋†“์นœ ๊ฒƒ์ด๋‹ค. ํ‘œ 3์˜ โ€œQwen baselineโ€์ด ๊ทธ ์—ญํ• ์„ ํ•˜์ง€๋งŒ, ๊ทธ ๋ฒ ์ด์Šค๋ผ์ธ์€ LIBERO-PRO ํ‰๊ท  40.1%๋กœ ฯ€0.5(53.2)๋‚˜ OpenVLA(51.7)๋ณด๋‹ค ๋‚ฎ๋‹ค.

์‹คํ—˜ 4: ๋ถ„์„ (ยง4.5, Fig. 5~8, ํ‘œ 2ยท3)

CoD์˜ cross-embodiment ๊ตฌ์กฐ (Fig. 5)


Fig. 5. </think> ํ† ํฐ hidden state์˜ t-SNE. ์ƒ‰์€ 2D end-effector ์ด๋™ ๋ฐฉํ–ฅ 4๊ฐœ, ๋ชจ์–‘์€ ๋ฐ์ดํ„ฐ์…‹(EgoDex, YAM, RoboCOIN).


Fig. 6. ์‚ฌ๋žŒ ์˜์ƒ ๋น„์œจ๋ณ„ LIBERO-PRO ์„ฑ๊ณต๋ฅ . ์„ ์€ ์ „์ฒด ํ‰๊ท (์™ผ์ชฝ ์ถ•), ๋ง‰๋Œ€๋Š” ์ถ•๋ณ„ ์„ฑ๊ณต๋ฅ (์˜ค๋ฅธ์ชฝ ์ถ•). ๋งจ ์˜ค๋ฅธ์ชฝ์€ 50% ๋ณ€ํ˜•๊ณผ ํ•™์Šต ๊ทœ๋ชจยทiteration์„ ๋งž์ถ˜ ๋กœ๋ด‡ ์ „์šฉ ๋Œ€์กฐ๊ตฐ.

์ €์ž๋“ค์€ CoD๋ฅผ ์š”์•ฝํ•˜๋Š” ๋งˆ์ง€๋ง‰ </think> ํ† ํฐ์˜ hidden state๋ฅผ t-SNE๋กœ ๊ทธ๋ ค, ๊ฐ™์€ ์ด๋™ ๋ฐฉํ–ฅ์˜ ์ƒ˜ํ”Œ์ด ๋ฐ์ดํ„ฐ์…‹์„ ๊ฐ€๋ฆฌ์ง€ ์•Š๊ณ  ๋ชจ์ธ๋‹ค๊ณ  ํ•ด์„ํ•œ๋‹ค. ๋‘ ๊ฐ€์ง€๋ฅผ ์œ ์˜ํ•ด์•ผ ํ•œ๋‹ค. ๊ทธ๋ฆผ์˜ ์ ์€ 28๊ฐœ ์ •๋„๋‹ค(ํ•„์ž๊ฐ€ ์…ˆ). ๊ทธ๋ฆฌ๊ณ  CoD๋Š” ์• ์ดˆ์— ์†๋ชฉ ์ด๋™์„ tokenizeํ•œ ์ •๋‹ต์œผ๋กœ cross-entropy ํ•™์Šต๋œ๋‹ค. ์ด๋™ ๋ฐฉํ–ฅ์œผ๋กœ ๊ตฐ์ง‘์ด ์ƒ๊ธฐ๋Š” ๊ฒƒ์€ ํ•™์Šต ๋ชฉํ‘œ์ƒ ๊ธฐ๋Œ€๋˜๋Š” ๊ฒฐ๊ณผ์ด๊ณ , ์˜๋ฏธ ์žˆ๋Š” ๊ด€์ฐฐ์€ โ€œ๋ฐ์ดํ„ฐ์…‹์ด ์„ž์ธ๋‹คโ€๋Š” ์ชฝ์ด๋‹ค. ๊ทธ๋ฆผ์„ ๋ณด๋ฉด ์˜ค๋ฅธ์ชฝ(ํŒŒ๋ž‘) ๊ตฐ์ง‘์€ ๋Œ€๋ถ€๋ถ„ RoboCOIN์ด๊ณ  ์•„๋ž˜(๋ณด๋ผ) ๊ตฐ์ง‘์€ EgoDex์™€ YAM๋ฟ์ด๋ผ, ์„ž์ž„์˜ ์ •๋„๋„ ๊ตฐ์ง‘๋งˆ๋‹ค ๋‹ค๋ฅด๋‹ค. ๋ถ€๋ก C.2๋Š” โ€œPCA์™€ attention์€ ์„œ์ˆ ์  ๋ถ„์„์ด๋ฉฐ ์ธ๊ณผ์  ์ฆ๊ฑฐ๋กœ ์“ฐ์ง€ ์•Š๋Š”๋‹คโ€๊ณ  ์Šค์Šค๋กœ ํ•œ์ •ํ•œ๋‹ค.

์‚ฌ๋žŒ ๋ฐ์ดํ„ฐ์˜ ํšจ๊ณผ (Fig. 6)

๋กœ๋ด‡ ๋ฐ์ดํ„ฐ ์–‘์„ ๊ณ ์ •ํ•˜๊ณ  ์‚ฌ๋žŒ ์˜์ƒ ๋น„์œจ์„ ์ „์ฒด์˜ 10%, 25%, 50%๋กœ ๋Š˜๋ฆฐ๋‹ค. ์ด ๋ณ€ํ˜•๋“ค์€ ์ตœ์ข… ๋ชจ๋ธ ๊ตฌ์„ฑ๊ณผ ๋‹ค๋ฅด๋‹ค๊ณ  ๋ช…์‹œ๋ผ ์žˆ๊ณ , SFT ํ›„ LIBERO ์‚ฌํ›„ํ•™์Šต์„ ๊ฑฐ์ณ LIBERO-PRO๋กœ ํ‰๊ฐ€ํ•œ๋‹ค.

๋ณ€ํ˜• LIBERO-PRO ์ „์ฒด ํ‰๊ท (%)
๋กœ๋ด‡ ์ „์šฉ 45.4
์‚ฌ๋žŒ 10% ์•ฝ 46.1 (๊ทธ๋ฆผ์—์„œ ์ฝ์Œ)
์‚ฌ๋žŒ 25% ์•ฝ 47.6 (๊ทธ๋ฆผ์—์„œ ์ฝ์Œ)
์‚ฌ๋žŒ 50% 47.8
๊ฐ™์€ ๊ทœ๋ชจ ๋กœ๋ด‡ ์ „์šฉ ๋Œ€์กฐ๊ตฐ ์•ฝ 46.6 (๋ณธ๋ฌธ โ€œ์•ฝ 1.2%p ๋‚ฎ์Œโ€์—์„œ ์—ญ์‚ฐ)

์ „์ฒด ํ‰๊ท ์€ ๋‹จ์กฐ ์ฆ๊ฐ€ํ•˜๊ณ , ํ•™์Šต ๊ทœ๋ชจ๋ฅผ ๋งž์ถ˜ ๋Œ€์กฐ๊ตฐ์„ ๋‘” ์„ค๊ณ„๋Š” ์ข‹๋‹ค. ๋‹ค๋งŒ ํšจ๊ณผ ํฌ๊ธฐ๋Š” +2.4%p(๋Œ€์กฐ๊ตฐ ๋Œ€๋น„ +1.2%p)์ด๊ณ  ํ•™์Šต ์‹œ๋“œ๊ฐ€ 1๊ฐœ๋‹ค. ๋ง‰๋Œ€๋ฅผ ๋ณด๋ฉด ์ถ•๋ณ„๋กœ๋Š” ๋‹จ์กฐ๊ฐ€ ์•„๋‹ˆ๋‹ค. Environment๋Š” 25%์—์„œ ๊ฐ€์žฅ ๋†’๊ณ (์•ฝ 51%) 50%์—์„œ ๋‹ค์‹œ ๋‚ด๋ ค๊ฐ€๋ฉฐ(์•ฝ 46%), Task๋Š” 50% ๋ณ€ํ˜•(์•ฝ 29.5%)๋ณด๋‹ค ๋Œ€์กฐ๊ตฐ(์•ฝ 31%)์ด ๋†’๋‹ค(๋ชจ๋‘ ๊ทธ๋ฆผ์—์„œ ์ฝ์€ ๊ทผ์‚ฌ์น˜). ๊ทธ๋ฆฌ๊ณ  ์ด ์‹คํ—˜์˜ โ€œ์‚ฌ๋žŒ ์˜์ƒโ€์€ ์†๋ชฉ motion ๋ผ๋ฒจ์ด ์žˆ๋Š” EgoDexยทEgoVerse๋‹ค. ๋ผ๋ฒจ ์—†๋Š” ์˜์ƒ์˜ ํšจ๊ณผ๋ฅผ ์žฐ ๊ฒƒ์ด ์•„๋‹ˆ๋‹ค.

CoD๊ฐ€ ๋ฏธ๋ž˜ ์˜ˆ์ธก์— ํ•˜๋Š” ์ผ (Fig. 7, ํ‘œ 2, ๋ถ€๋ก Fig. 12)


Fig. 7. ํ˜„์žฌยท๋ฏธ๋ž˜ ๊ด€์ธก๊ณผ ๊ทธ DINO PCA, ๊ทธ๋ฆฌ๊ณ  CoD ์กฐ๊ฑด๋ณ„ ๋ฏธ๋ž˜ ์˜ˆ์ธก. ์ƒ์„ฑํ•œ CoD๋กœ ์˜ˆ์ธกํ•œ ๋ฏธ๋ž˜(์ดˆ๋ก ๋ฐฐ๊ฒฝ)๋Š” ๋ฏธ๋ž˜ GT ์ชฝ ๊ตฌ์กฐ๋ฅผ ๋‹ด๊ณ , ์„ž์€ยท๋นˆยทCoD ์—†๋Š” ์กฐ๊ฑด์€ ํ˜„์žฌ ์ƒํƒœ์™€ ๋น„์Šทํ•˜๊ฒŒ ๋‚จ๋Š”๋‹ค.

ํ‘œ 2. 1์ดˆ ๋’ค DINOv3 feature์™€์˜ cosine ์œ ์‚ฌ๋„.

์กฐ๊ฑด ์ „์ฒด patch ฮ” ์›€์ง์ž„ ์ƒ์œ„ 25% patch ฮ”
Shuffle 0.71 โˆ’0.024 0.55 โˆ’0.071
Empty 0.72 โˆ’0.020 0.54 โˆ’0.079
CoD off 0.72 โˆ’0.018 0.55 โˆ’0.071
CoD on 0.74 โ€“ 0.62 โ€“

CoD๋ฅผ ๋„ฃ์œผ๋ฉด ์›€์ง์ด๋Š” ์˜์—ญ์˜ ์˜ˆ์ธก์ด ํ™•์‹คํžˆ ์ข‹์•„์ง„๋‹ค(0.55 โ†’ 0.62). ๋‹ค๋งŒ ํ•ด์„์— ํ•„์š”ํ•œ ์ •๋ณด๊ฐ€ ๋น ์ ธ ์žˆ๋‹ค.

  • ์ž๋ช…ํ•œ ๊ธฐ์ค€์„ ์ด ์—†๋‹ค. โ€œํ˜„์žฌ ํ”„๋ ˆ์ž„์˜ DINO feature๋ฅผ ๊ทธ๋Œ€๋กœ ๋ฏธ๋ž˜ ์˜ˆ์ธก์œผ๋กœ ๋‚ด๊ธฐโ€์˜ ์ ์ˆ˜๊ฐ€ ์—†๋‹ค. Fig. 7์ด ๋ณด์—ฌ ์ฃผ๋“ฏ CoD ์—†๋Š” ์กฐ๊ฑด๋“ค์€ ํ˜„์žฌ ์ƒํƒœ๋ฅผ ๊ฑฐ์˜ ๋ณต์‚ฌํ•œ๋‹ค. ๊ทธ๋ ‡๋‹ค๋ฉด CoD off์˜ 0.72๋Š” ์‚ฌ์‹ค์ƒ ๋ณต์‚ฌ ๊ธฐ์ค€์„ ์— ๊ฐ€๊น๊ณ , CoD๊ฐ€ ๋ณต์‚ฌ๋ณด๋‹ค ๋‚ซ๋‹ค๋Š” ํญ์€ ์ „์ฒด patch 0.02 ์ˆ˜์ค€์ด๋‹ค.
  • โ€œCoD offโ€๋Š” ๋ฐ˜์‚ฌ์‹ค ๋ชจ๋ธ์ด ์•„๋‹ˆ๋ผ ๊ฐœ์ž…์ด๋‹ค. CoD๊ฐ€ ํ•ญ์ƒ ์žˆ๋Š” ์ƒํƒœ๋กœ ํ•™์Šตํ•œ projector์—์„œ CoD๋ฅผ ๋นผ๋Š” ๊ฒƒ์€ ๊ทธ projector์—๊ฒŒ ๋ถ„ํฌ ๋ฐ– ์ž…๋ ฅ์ด๋‹ค. CoD ์—†์ด future prediction๋งŒ ํ•™์Šตํ•œ ๋ชจ๋ธ(ํ‘œ 3์˜ โ€œ+Future predictionโ€ ํ–‰)์˜ cosine์€ ๋ณด๊ณ ๋˜์ง€ ์•Š๋Š”๋‹ค.
  • ํ‰๊ฐ€ ๋ฐ์ดํ„ฐ๊ฐ€ ๋ฌด์—‡์ธ์ง€(์–ด๋А ๋ฐ์ดํ„ฐ์…‹, ๋ช‡ ์ƒ˜ํ”Œ, ์ •๋‹ต CoD์ธ์ง€ ์ƒ์„ฑ CoD์ธ์ง€)๊ฐ€ ํ‘œ ์บก์…˜๊ณผ ๋ณธ๋ฌธ์— ์—†๋‹ค. Fig. 7 ์บก์…˜์€ โ€œgenerated CoDโ€๋ผ๊ณ  ํ•œ๋‹ค.

Fig. 12(์ฒซ ํŽ˜์ด์ง€). ์—ํ”ผ์†Œ๋“œ๋ณ„๋กœ ํ˜„์žฌยท๋ฏธ๋ž˜ RGB, ํ˜„์žฌยท๋ฏธ๋ž˜ DINO PCA, ๊ทธ๋ฆฌ๊ณ  CoD ์กฐ๊ฑด ๋‹ค์„ฏ ๊ฐ€์ง€(์›๋ž˜ CoD, shuffle, empty, ๋‹ค๋ฅธ ์—ํ”ผ์†Œ๋“œ์˜ donor CoD, CoD ์—†์Œ)์˜ ์˜ˆ์ธก. ์˜ˆ์ธก์€ GT๋ณด๋‹ค ๋ˆˆ์— ๋„๊ฒŒ ๋งค๋ˆํ•˜๋‹ค.

attention (Fig. 8)


Fig. 8. CoD ํ† ํฐ์—์„œ ํ˜„์žฌ ๊ด€์ธก์œผ๋กœ์˜ attention. ์‚ฌ๋žŒยท๋กœ๋ด‡ ์˜ˆ์‹œ์—์„œ ์†, ๋กœ๋ด‡ ํŒ”, ์กฐ์ž‘ ๋ฌผ์ฒด ์ฃผ๋ณ€์— attention์ด ๋ชจ์ธ๋‹ค.

๋ถ€๋ก์€ ๊ฐ™์€ ๋ถ„์„์„ future query ํ† ํฐ๊นŒ์ง€ ๋„“ํ˜€, CoD attention์€ ์›€์ง์ด๋Š” ์˜์—ญ์— ์ง‘์ค‘ํ•˜๊ณ  future query attention์€ ์žฅ๋ฉด ์ „์ฒด์— ํผ์ง„๋‹ค๊ณ  ๋ณด๊ณ ํ•œ๋‹ค(Qwen 24~27์ธต). ์˜ˆ์‹œ๊ฐ€ ์„ ํƒ๋œ ๊ฒƒ์ธ์ง€ ๋ฌด์ž‘์œ„์ธ์ง€๋Š” ์ ํ˜€ ์žˆ์ง€ ์•Š๊ณ , ์•ž์„œ ์ธ์šฉํ–ˆ๋“ฏ ์ €์ž๋“ค ์Šค์Šค๋กœ ์ธ๊ณผ์  ์ฆ๊ฑฐ๊ฐ€ ์•„๋‹ˆ๋ผ๊ณ  ํ•œ์ •ํ•œ๋‹ค.

๊ตฌ์„ฑ์š”์†Œ ์ ˆ์ œ (ํ‘œ 3)

ํ‘œ 3. ๊ตฌ์„ฑ์š”์†Œ๋ฅผ ๋ˆ„์ ํ•ด ๋”ํ•œ LIBERO-PRO ์„ฑ๊ณต๋ฅ (%).

๋ณ€ํ˜• Object Pos. Sem. Task Env. ํ‰๊ท  ์ฆ๊ฐ€
Qwen ๋ฒ ์ด์Šค๋ผ์ธ 59.5 1.9 84.4 17.2 37.8 40.1 โ€“
+ history ํ”„๋ ˆ์ž„ 61.3 4.9 84.6 22.8 29.8 40.7 +0.6
+ future prediction 70.0 11.9 89.4 26.3 54.4 50.4 +9.7
+ CoD 74.5 16.9 94.4 29.7 56.4 54.4 +4.0
+ RL 73.3 18.2 93.9 31.9 60.9 55.6 +1.2

์ด ์ฆ๊ฐ€ +15.5%p ์ค‘ future prediction์ด 63%, CoD๊ฐ€ 26%, RL์ด 8%, history๊ฐ€ 4%๋ฅผ ์ฐจ์ง€ํ•œ๋‹ค(ํ•„์ž ๊ณ„์‚ฐ). ๋ณธ๋ฌธ์˜ โ€œCoD๋Š” ๋ชจ๋“  shift์—์„œ ์ผ๊ด€๋˜๊ฒŒ ๊ฐœ์„ ํ•œ๋‹คโ€๋Š” ํ‘œ์™€ ๋งž๊ณ (๋‹ค์„ฏ ์ถ• ๋ชจ๋‘ ์ƒ์Šน), RL์— ๋Œ€ํ•ด์„œ๋Š” โ€œpositionยทtaskยทenvironment์—์„œ ์ถ”๊ฐ€ ์ด๋“โ€์ด๋ผ๊ณ  ์ •ํ™•ํžˆ ํ•œ์ •ํ•ด ์ผ๋‹ค. ์‹ค์ œ๋กœ RL์€ Object(โˆ’1.2)์™€ Semantic(โˆ’0.5)์„ ๋‚ด๋ฆฐ๋‹ค. history๋Š” Environment๋ฅผ 37.8 โ†’ 29.8๋กœ ํฌ๊ฒŒ ๋–จ์–ด๋œจ๋ฆฌ๋Š”๋ฐ ๋…ผ๋ฌธ์€ ์–ธ๊ธ‰ํ•˜์ง€ ์•Š๋Š”๋‹ค.

์ด ์ ˆ์ œ์˜ ๊ตฌ์กฐ์  ํ•œ๊ณ„๋Š” ์ˆœ์„œ๊ฐ€ ํ•˜๋‚˜๋ฟ์ด๋ผ๋Š” ์ ์ด๋‹ค. future prediction ์—†์ด CoD๋งŒ ๋„ฃ์€ ๋ณ€ํ˜•, CoD ์—†์ด RL ๋น„์Šทํ•œ ๊ฒƒ์„ ๋„ฃ์€ ๋ณ€ํ˜•์ด ์—†์–ด์„œ โ€œCoD์˜ ๋ชซโ€์€ future prediction์ด ์ด๋ฏธ ์žˆ๋Š” ์ƒํƒœ์—์„œ์˜ ์ฆ๋ถ„์œผ๋กœ๋งŒ ์ธก์ •๋œ๋‹ค. ์‹œ๋“œ 1๊ฐœ๋ผ RL์˜ +1.2%p๊ฐ€ ํ•™์Šต ๋ถ„์‚ฐ๋ณด๋‹ค ํฐ์ง€ ํŒ๋‹จํ•  ์ˆ˜ ์—†๋‹ค. ์ œ๋ชฉ์ด โ€œWorld Imagination Reinforces Chain-of-Dynamics Reasoningโ€์ธ ๊ฒƒ์„ ์ƒ๊ฐํ•˜๋ฉด, ์ด ๋…ผ๋ฌธ์—์„œ ๊ฐ€์žฅ ์•ฝํ•˜๊ฒŒ ๋’ท๋ฐ›์นจ๋œ ๊ตฌ์„ฑ์š”์†Œ๊ฐ€ ์ œ๋ชฉ์˜ ๋™์‚ฌ๋‹ค.

์‹คํ—˜ 5: ๋ถ€๋ก์˜ ์ถ”๊ฐ€ ๊ฒฐ๊ณผ (๋ถ€๋ก C.3~C.5)

SimplerEnv(ํ‘œ 7). SimplerEnv ์ „์šฉ fine-tuning ์—†์ด ํ‰๊ฐ€ํ–ˆ๋‹ค. ์ €์ž๋“ค์€ Bridge์™€ RT-1 ๋ฐ์ดํ„ฐ๋ฅผ SFTยทRL์—์„œ ๋ดค๋‹ค๊ณ  ๋ฐํžŒ๋‹ค.

๊ทธ๋ฃน ๊ณผ์ œ ์„ฑ๊ณต๋ฅ (%)
Google-VM โ€“ 49.31
Google-VA Pick Coke can 56.00
Google-VA Drawer 33.33
Google-VA Move-near 55.83
Google-VA Put-in-drawer 2.12
Google-VA micro ํ‰๊ท  46.54
WidowX VM โ€“ 41.67
์ „์ฒด micro 46.51

๋ฒ ์ด์Šค๋ผ์ธ์ด ์—†์–ด ์ˆ˜์ค€์„ ํŒ๋‹จํ•  ๊ธฐ์ค€์ด ํ‘œ ์•ˆ์— ์—†๋‹ค. ์ด ์ ˆ์˜ ์›๋ž˜ ๋ชฉ์ ์€ closed-loop์—์„œ ๋ฏธ๋ž˜ ์˜ˆ์ธก์ด ์‹ค์ œ ๋„๋‹ฌ ์ƒํƒœ๋ฅผ ๋”ฐ๋ผ๊ฐ€๋Š”์ง€ ๋ณด๋Š” ์ •์„ฑ ๊ทธ๋ฆผ(Fig. 14)์ด๋‹ค.


Fig. 14. SimplerEnv closed-loop rollout์—์„œ ๊ฐ ์—ด์˜ ์œ„๋Š” ์‹ค์ œ ๋„๋‹ฌํ•œ ๊ด€์ธก, ์•„๋ž˜๋Š” ์ง์ „ ์žฌ๊ณ„ํš ์‹œ์ ์— ์˜ˆ์ธกํ•œ 1์ดˆ ๋’ค feature์˜ PCA. ์„ธ ์˜ˆ์‹œ ์ค‘ ์„œ๋ž๊ณผ ๊ฐ€์ง€ ๊ณผ์ œ์—์„œ๋Š” ์˜ˆ์ธก์ด step์— ๋”ฐ๋ผ ๊ฑฐ์˜ ๋ฐ”๋€Œ์ง€ ์•Š๋Š”๋‹ค.

์ €์ž๋“ค์€ ์˜ˆ์ธก์ด ์žฅ๋ฉด ๊ตฌ์กฐ์™€ ๊ณผ์ œ ์ง„ํ–‰์„ โ€œclosely trackโ€ํ•œ๋‹ค๊ณ  ์“ฐ์ง€๋งŒ, ๊ทธ๋ฆผ์„ ๋ณด๋ฉด โ€œPlace object in closed drawerโ€์™€ โ€œPut eggplant in basketโ€์˜ ์˜ˆ์ธก์€ step 16~63, 21~79์— ๊ฑธ์ณ ๊ฑฐ์˜ ๊ฐ™์€ ํŒจํ„ด์ด๋‹ค. ์žฅ๋ฉด ๋ฐฐ์น˜๋Š” ๋งž์ง€๋งŒ ๊ณผ์ œ ์ง„ํ–‰(์„œ๋ž ์—ด๋ฆผ, ๊ฐ€์ง€ ์ด๋™)์ด ์˜ˆ์ธก์— ๋“œ๋Ÿฌ๋‚œ๋‹ค๊ณ  ๋ณด๊ธฐ๋Š” ์–ด๋ ต๋‹ค(๊ทธ๋ฆผ ํŒ๋…). โ€œMove object near targetโ€์—์„œ๋Š” ํŒ” ์˜์—ญ์˜ ๋ณ€ํ™”๊ฐ€ ๋ณด์ธ๋‹ค.

LIBERO-Plus(ํ‘œ 8). LIBERO๋กœ๋งŒ ํ•™์Šตํ•œ ์ •์ฑ…์„ zero-shot์œผ๋กœ ํ‰๊ฐ€ํ–ˆ๋‹ค.

๋ฐฉ๋ฒ• Camera Robot Language Light Background Noise Layout ํ‰๊ท 
OpenVLA-OFT 56.4 31.9 79.5 88.7 93.3 75.8 74.2 69.6
ฯ€0-FAST 65.1 21.6 61.0 73.2 73.2 74.4 68.8 61.6
DreamVLA 65.0 40.8 63.5 85.7 82.6 84.9 74.0 69.9
ThinkWorld 46.9 70.5 73.5 90.7 90.0 62.7 79.6 71.7

OpenVLA-OFT์™€ ฯ€0-FAST ํ–‰์€ LIBERO-Plus ๋ ˆํฌ์˜ ๋ฆฌ๋”๋ณด๋“œ ๊ฐ’๊ณผ ๊ฐ™๋‹ค. ํ‰๊ท  ์—ด์€ ์ผ๊ณฑ ์นธ์˜ ๋‹จ์ˆœ ํ‰๊ท ์ด ์•„๋‹ˆ๋‹ค(์˜ˆ: OpenVLA-OFT ๋‹จ์ˆœ ํ‰๊ท  71.4 vs ํ‘œ๊ธฐ 69.6). ๋ฒค์น˜๋งˆํฌ ์ชฝ์˜ ์ง‘๊ณ„ ๋ฐฉ์‹์„ ๋”ฐ๋ฅธ ๊ฒƒ์œผ๋กœ ๋ณด์ด๋ฉฐ, ThinkWorld๋„ ๋‹จ์ˆœ ํ‰๊ท ์ด๋ฉด 73.4๋‹ค(ํ•„์ž ๊ณ„์‚ฐ). ์šฐ์œ„๋Š” robot ์ดˆ๊ธฐ ์ƒํƒœ(70.5 vs ์ฐจ์ˆœ์œ„ 40.8)์—์„œ ํฌ๊ณ , camera(46.9)์™€ noise(62.7)๋Š” ๋„ค ๋ฐฉ๋ฒ• ์ค‘ ๊ฐ€์žฅ ๋‚ฎ๋‹ค. ์ €์ž๋“ค๋„ ์นด๋ฉ”๋ผยท์กฐ๋ช…ยท๋ฐฐ๊ฒฝยท์„ผ์„œ ๋…ธ์ด์ฆˆ๋Š” โ€œ๋ฐฉ๋ฒ•์˜ ์ฃผ๋œ ์ดˆ์  ๋ฐ–โ€์ด๋ผ๊ณ  ๋ฐํžŒ๋‹ค. ํ‘œ์˜ OpenVLA-OFT ์ธ์šฉ์ด OFT ๋…ผ๋ฌธ์ด ์•„๋‹ˆ๋ผ OpenVLA ๋…ผ๋ฌธ์œผ๋กœ, ฯ€0-FAST ์ธ์šฉ์ด ฯ€0 ๋…ผ๋ฌธ์œผ๋กœ ๊ฑธ๋ ค ์žˆ๋Š” ์ž‘์€ ์ธ์šฉ ์˜ค๋ฅ˜๊ฐ€ ์žˆ๋‹ค.

์ถ”๋ก  ํšจ์œจ(ํ‘œ 9). H100 80GB ํ•œ ์žฅ, batch 1, CUDA graph ๋”(eager), ์›Œ๋ฐ์—… 5ํšŒ ํ›„ 50ํšŒ ๋™๊ธฐํ™” ์ธก์ •์ด๋‹ค.

์ •์ฑ… p50 (ms) p95 (ms) 50ํšŒ ์ด ์‹œ๊ฐ„ (s) ์ตœ๋Œ€ ๋ฉ”๋ชจ๋ฆฌ (GiB)
MolmoAct2 335.07 467.96 18.44 12.11
MolmoAct2-Think 879.37 1014.47 46.76 12.12
ThinkWorld 324.84 333.09 16.31 7.07

ThinkWorld๋Š” ์ถ”๋ก  ๋•Œ CoD๋ฅผ ์ƒ์„ฑํ•˜์ง€ ์•Š์œผ๋ฏ€๋กœ MolmoAct2์™€ ๋น„์Šทํ•œ ์ง€์—ฐ์ด ๋‚˜์˜ค๋Š” ๊ฒƒ์€ ์„ค๊ณ„์ƒ ๋‹น์—ฐํ•˜๋‹ค(p50 ๊ธฐ์ค€ 3% ์ฐจ์ด). ํ”„๋กœ์ ํŠธ ํŽ˜์ด์ง€๊ฐ€ ๋‚ด์„ธ์šฐ๋Š” โ€œ325 ms vs MolmoAct2-Think 879 msโ€๋Š” ์ถ”๋ก ์„ ์‹คํ–‰ํ•˜๋Š” ๋ณ€ํ˜•๊ณผ ์‹คํ–‰ํ•˜์ง€ ์•Š๋Š” ๋ชจ๋ธ์˜ ๋น„๊ต๋‹ค. ์ €์ž๋“ค๋„ ๊ฐ ๋ชจ๋ธ์ด ์ž๊ธฐ ๊ณ ์œ ์˜ ์ž…๋ ฅ ๊ทœ์•ฝ์„ ์จ์„œ โ€œ๋™์ผ ์ž…๋ ฅ ์•„ํ‚คํ…์ฒ˜ ์ ˆ์ œ๊ฐ€ ์•„๋‹ˆ๋‹คโ€๋ผ๊ณ  ๋ฐํžŒ๋‹ค. ์ ˆ๋Œ€๊ฐ’๋„ ์ฃผ์˜๊ฐ€ ํ•„์š”ํ•˜๋‹ค. MolmoAct2 ๋ฆฌ๋ทฐ๊ฐ€ ๊ธฐ๋กํ•œ ์› ๋…ผ๋ฌธ ์ธก์ •(LIBERO, H100, horizon 10)์€ ์ตœ์ ํ™” ์ „ 23.02 Hz, caching๊ณผ CUDA Graph๋ฅผ ์ผœ๋ฉด 55.79 Hz์˜€๋‹ค. ์› ๋…ผ๋ฌธ์˜ ์ œ์–ด์œจ์€ โ€œaction horizon รท ์ƒ์„ฑ ์ง€์—ฐโ€์ด๋ฏ€๋กœ ํ˜ธ์ถœ๋‹น ์•ฝ 434 ms์™€ ์•ฝ 179 ms์— ํ•ด๋‹นํ•œ๋‹ค(ํ•„์ž ํ™˜์‚ฐ). ThinkWorld ํ‘œ์˜ MolmoAct2 335 ms(eager, CUDA graph ๋”)๋Š” ๊ทธ ์‚ฌ์ด์— ์žˆ๋‹ค. ์ž…๋ ฅ ์กฐ๊ฑด์ด ๋‹ฌ๋ผ ์ง์ ‘ ๋น„๊ตํ•  ์ˆ˜๋Š” ์—†์ง€๋งŒ, ์ด ํ‘œ๋Š” MolmoAct2์˜ ๋ฐฐํฌ ์ตœ์ ํ™”(CUDA Graph)๋ฅผ ์ผ  ์ƒํƒœ์™€ ๋น„๊ตํ•œ ๊ฒƒ์ด ์•„๋‹ˆ๋‹ค.

๋น„ํŒ์ ์œผ๋กœ ๋ณด๋ฉด

๊ฐ•์ 

  • ์ค‘๊ฐ„ ์ถ”๋ก ์„ โ€œ์‚ฌ๋žŒ๊ณผ ๋กœ๋ด‡์ด ๊ณต์œ ํ•˜๋Š” motionโ€์œผ๋กœ ์ •ํ•œ ์„ ํƒ์ด ๊น”๋”ํ•˜๋‹ค. ํ…์ŠคํŠธ ๊ณ„ํš์€ embodiment์™€ ๋ฌด๊ด€ํ•˜์ง€๋งŒ ๋ฌผ๋ฆฌ์— ์•ฝํ•˜๊ณ , ๋กœ๋ด‡ action์€ ๋ฌผ๋ฆฌ์ ์ด์ง€๋งŒ embodiment์— ๋ฌถ์ธ๋‹ค. ์†๋ชฉ 6D ๋ณ€์œ„๋Š” ๋‘˜ ์‚ฌ์ด์˜ ์ข‹์€ ํƒ€ํ˜‘์ด๊ณ , FAST tokenizer๋กœ VLM์˜ ์–ธ์–ด ๋ชจ๋ธ๋ง์— ๊ทธ๋Œ€๋กœ ์–นํžŒ๋‹ค.
  • ๋ณด์ƒ ์„ค๊ณ„๊ฐ€ ๊ตฌ์ฒด์ ์ด๊ณ  ๊ทผ๊ฑฐ๊ฐ€ ์žˆ๋‹ค. ํ”ฝ์…€ ๋Œ€์‹  DINOv3 feature, ์ „์—ญ ํ•ญ์œผ๋กœ ์žฅ๋ฉด ์ผ๊ด€์„ฑ ์œ ์ง€, ๋ณ€ํ™”๋Ÿ‰ ๊ธฐ๋ฐ˜ ๊ฐ€์ค‘์น˜๋กœ ๋ฐฐ๊ฒฝ ์ง€๋ฐฐ ์–ต์ œ, ์ •์  ๋ชฉํ‘œ ์˜ˆ์™ธ ์ฒ˜๋ฆฌ, ํ˜•์‹ ์˜ค๋ฅ˜ ํŽ˜๋„ํ‹ฐ๊นŒ์ง€ ๋ถ€๋ก์— ๋‹ค ์ ํ˜€ ์žˆ๋‹ค. ๋ณด์ƒ ๊ณ„์‚ฐ์— action ๋ผ๋ฒจ์ด ํ•„์š” ์—†๋‹ค๋Š” ์„ฑ์งˆ๋„ ์„ค๊ณ„์ƒ ๋งž๋‹ค.
  • ๋ฐฐํฌ ๋น„์šฉ์ด ๋Š˜์ง€ ์•Š๋Š”๋‹ค. ์ถ”๋ก  ์‹œ ์ถ”๋ก  ํ† ํฐ์„ ์ƒ์„ฑํ•˜์ง€ ์•Š์œผ๋ฏ€๋กœ ์ง€์—ฐ์ด ๋น„์Šทํ•œ VLA์™€ ๊ฐ™๋‹ค. ํ•™์Šต ๋•Œ๋งŒ ์ถ”๋ก ํ•˜๊ณ  ๋ฐฐํฌ ๋•Œ๋Š” ๋ฒ„๋ฆฌ๋Š” ์„ค๊ณ„๋ฅผ ๋ช…์‹œ์ ์œผ๋กœ ํƒํ•˜๊ณ , ๊ทธ ๊ทผ๊ฑฐ๋ฅผ Fast-WAM ๊ณ„์—ด์˜ ๊ด€์ฐฐ๊ณผ ๊ฐ™์€ ๋ฐฉํ–ฅ์œผ๋กœ ์ œ์‹œํ•œ๋‹ค.
  • ์‹ค๊ธฐ OOD ๊ฒฐ๊ณผ๊ฐ€ ๋‹จ๋‹จํ•˜๋‹ค. ๊ฐ™์€ ํ”Œ๋žซํผ์˜ ๊ฐ•ํ•œ ๋ฒ ์ด์Šค๋ผ์ธ(MolmoAct2) ๋Œ€๋น„ OOD 52/60 ๋Œ€ 25/60์€ ์นธ๋‹น ์‹œํ–‰ ์ˆ˜๊ฐ€ ์ž‘์•„๋„ ํ†ต๊ณ„์ ์œผ๋กœ ๋ถ„๋ช…ํ•˜๋‹ค. ์‹œํ–‰ ๋ถ„๋ชจ, macroยทmicro ์ •์˜, ์กฐ๊ฑด ์ˆ˜๋ฅผ ๋ถ€๋ก ํ‘œ๋กœ ๋ฐํžŒ ์ ๋„ ์ข‹๋‹ค.
  • ์ž๊ธฐ ํ•œ๊ณ„๋ฅผ ์ผ๋ถ€ ์Šค์Šค๋กœ ์ ์—ˆ๋‹ค. ํ•™์Šต ์‹œ๋“œ 1๊ฐœ, PCAยทattention์ด ์ธ๊ณผ ์ฆ๊ฑฐ๊ฐ€ ์•„๋‹ˆ๋ผ๋Š” ์ , ์ง€์—ฐ ๋น„๊ต๊ฐ€ ๋™์ผ ์ž…๋ ฅ์ด ์•„๋‹ˆ๋ผ๋Š” ์ , LIBERO-Plus์—์„œ ์ง€๊ฐ ๊ต๋ž€์€ ์ดˆ์  ๋ฐ–์ด๋ผ๋Š” ์ ์„ ์ €์ž๋“ค์ด ๋จผ์ € ์ ๋Š”๋‹ค.
  • ์žฌํ˜„์— ํ•„์š”ํ•œ ์ˆซ์ž์˜ ๋ฐ€๋„. ๋ฐ์ดํ„ฐ ์ถœ์ฒ˜๋ณ„ ๊ทœ๋ชจ์™€ action ๊ทœ์•ฝ, ๋‹จ๊ณ„๋ณ„ ํ•™์Šต๋ฅ ยทiterationยทGPU, tokenizer ์ •๊ทœํ™” ์ƒ์ˆ˜, decoder ๊ตฌ์กฐ, RL์˜ clipยทKLยท๊ฐ€์ค‘์น˜๊นŒ์ง€ ๋ถ€๋ก์— ์žˆ๋‹ค. ์ฝ”๋“œ๊ฐ€ ์—†๋Š” ๋…ผ๋ฌธ์น˜๊ณ ๋Š” ์žฌ๊ตฌํ˜„์— ํ•„์š”ํ•œ ์ •๋ณด๊ฐ€ ๋งŽ๋‹ค.

์•ฝ์ ยทํ•œ๊ณ„

  • โ€œ๋ผ๋ฒจ ์—†๋Š” ์˜์ƒ์œผ๋กœ ํ•™์Šตํ•œ๋‹คโ€๋Š” ํ•ต์‹ฌ ์ฃผ์žฅ์— ํ•ด๋‹นํ•˜๋Š” ์‹คํ—˜์ด ์—†๋‹ค. ์ดˆ๋ก๊ณผ Fig. 2๋Š” world-imagination RL์ด motion ์ฃผ์„ ์—†์ด ์‚ฌ๋žŒยท๋กœ๋ด‡ ์˜์ƒ์„ ๊ฐ๋… ์‹ ํ˜ธ๋กœ ๋ฐ”๊พผ๋‹ค๊ณ  ์“ด๋‹ค. ๊ทธ๋Ÿฌ๋‚˜ ํ‘œ 5์˜ RL ๋ฐ์ดํ„ฐ๋Š” SFT์™€ ๊ฐ™์€ โ€œRobot + human motionโ€์ด๊ณ , ์‚ฌ๋žŒ ๋ฐ์ดํ„ฐ(EgoDex, EgoVerse)๋Š” ์†๋ชฉ motion ๋ผ๋ฒจ์ด ์žˆ๋‹ค(ํ‘œ 4). replay ํ•ญ๋„ canonical CoD๋ฅผ ์“ด๋‹ค. ๋…ผ๋ฌธ ์–ด๋””์—๋„ RL ๋‹จ๊ณ„์— ๋ผ๋ฒจ ์—†๋Š” ์˜์ƒ์„ ๋„ฃ์—ˆ๋‹ค๋Š” ์„œ์ˆ ์ด ์—†๊ณ , ๋ผ๋ฒจ์„ ์ง€์šด ๋ฐ์ดํ„ฐ๋กœ RL์„ ๋Œ๋ฆฐ ๋Œ€์กฐ ์‹คํ—˜๋„ ์—†๋‹ค. ๋ผ๋ฒจ ์—†๋Š” ์‚ฌ๋žŒ ์˜์ƒ์ด ์‹ค์ œ๋กœ ์“ฐ์ธ ๊ณณ์€ ์˜ค๋ธ skill composition์˜ fine-tuning๋ฟ์ธ๋ฐ, ๊ฑฐ๊ธฐ์„œ๋Š” RL์ด ์•„๋‹ˆ๋ผ future prediction ์†์‹ค๋งŒ ๋ฐ›๋Š”๋‹ค. ํ”„๋กœ์ ํŠธ ํŽ˜์ด์ง€์˜ โ€œ44% egocentric human video, no action labelsโ€๋Š” ๋…ผ๋ฌธ ํ‘œ 4์™€ ๋งž์ง€ ์•Š๋Š”๋‹ค.
  • ์ œ๋ชฉ์˜ ๋™์‚ฌ๊ฐ€ ๊ฐ€์žฅ ์•ฝํ•œ ๊ตฌ์„ฑ์š”์†Œ๋‹ค. ํ‘œ 3์—์„œ world-imagination RL์˜ ๊ธฐ์—ฌ๋Š” +1.2%p(์ „์ฒด ์ฆ๊ฐ€์˜ 8%)์ด๊ณ , ObjectยทSemantic ์ถ•์€ ์˜คํžˆ๋ ค ๋‚ด๋ ค๊ฐ„๋‹ค. ํ•™์Šต ์‹œ๋“œ๊ฐ€ 1๊ฐœ๋ผ ์ด ํฌ๊ธฐ๊ฐ€ ํ•™์Šต ๋ถ„์‚ฐ๋ณด๋‹ค ํฐ์ง€ ์•Œ ์ˆ˜ ์—†๋‹ค. ์ด๋“์˜ 63%๋Š” future prediction ์†์‹ค์—์„œ ๋‚˜์˜จ๋‹ค. RL ์ค‘ ๋ณด์ƒ ๊ณก์„ , ๊ทธ๋ฃน ๋‚ด ๋ณด์ƒ ๋ถ„์‚ฐ, KL ์ถ”์ด๋„ ๋ณด๊ณ ๋˜์ง€ ์•Š์•„, ๋ณด์ƒ์ด ์‹ค์ œ๋กœ ๋ฌด์—‡์„ ์ตœ์ ํ™”ํ–ˆ๋Š”์ง€ ํ™•์ธํ•  ์ˆ˜ ์—†๋‹ค.
  • โ€œ์ƒ๊ฐโ€์€ ๋ฐฐํฌ ๋•Œ ์‹คํ–‰๋˜์ง€ ์•Š๋Š”๋‹ค. action expert๋Š” ์ž…๋ ฅ ํ† ํฐ KV๋งŒ ๋ณด๊ณ  CoD ํ† ํฐ์„ ๋ณด์ง€ ์•Š๋Š”๋‹ค. ๊ทธ๋ž˜์„œ CoD๋Š” chain-of-thought๋ผ๊ธฐ๋ณด๋‹ค auxiliary objective์ด๊ณ , ์ด๋ฆ„์˜ โ€œThinkโ€์™€ โ€œreasoningโ€์€ ์ด ์ ์„ ๊ฐ€๋ฆฐ๋‹ค. ์ด ์‚ฌ์‹ค ์ž์ฒด๋Š” ๋…ผ๋ฌธ์— ์ •ํ™•ํžˆ ์ ํ˜€ ์žˆ์œผ๋ฏ€๋กœ ๊ธฐ๋งŒ์€ ์•„๋‹ˆ์ง€๋งŒ, MolmoAct2-Think(์ถ”๋ก  ์‹คํ–‰)์™€์˜ ์ง€์—ฐ ๋น„๊ต๋Š” ๊ฐ™์€ ๋ฒ”์ฃผ์˜ ๋น„๊ต๊ฐ€ ์•„๋‹ˆ๋‹ค.
  • LIBERO ํ‘œ์˜ ๋ฒ ์ด์Šค๋ผ์ธ ์„ ํƒ. ๊ฐ™์€ action expert์˜ ์ถœ์ฒ˜์ด์ž ์‹ค๊ธฐ ๋ฒ ์ด์Šค๋ผ์ธ์ธ MolmoAct2(97.2%)์™€ MolmoAct2-Think(98.1%)๊ฐ€ ํ‘œ 1์— ์—†๋‹ค. ๋„ฃ์—ˆ๋‹ค๋ฉด โ€œLIBERO best overallโ€์€ ์„ฑ๋ฆฝํ•˜์ง€ ์•Š๋Š”๋‹ค. ํ‘œ ์•ˆ์—์„œ๋„ VLA-JEPA์™€์˜ ์ฐจ์ด๋Š” 0.05%p(2,000ํšŒ ์ค‘ 1ํšŒ๋กœ ์ถ”์ •)๋‹ค. LIBERO-PRO ํ‰๊ท  ์šฐ์œ„๋Š” Task ์ถ• ํ•˜๋‚˜์—์„œ ๋‚˜์˜ค๊ณ , ๊ทธ ์ถ•์„ ๋นผ๋ฉด ฯ€0.5๊ฐ€ ์•ž์„ ๋‹ค. Object ์ถ•์€ ํ‘œ์—์„œ ๊ฐ€์žฅ ๋‚ฎ๋‹ค.
  • skill composition์€ ์ •์„ฑ ์˜ˆ์‹œ๋ฟ์ด๊ณ  ๋Œ€์กฐ๊ตฐ์ด ์—†๋‹ค. ์„ฑ๊ณต๋ฅ ยท์‹œํ–‰ ์ˆ˜ยท๋ฒ ์ด์Šค๋ผ์ธ์ด ์—†๊ณ , ์ง€์‹œ๋ฌธ์ด skill ์ˆœ์„œ๋ฅผ ๋ฌธ์žฅ์œผ๋กœ ์ ์–ด ์ค€๋‹ค. ๋กœ๋ด‡ atomic ๋ฐ์ดํ„ฐ๋งŒ์œผ๋กœ ํ•™์Šตํ•œ ๋ชจ๋ธ์— ๊ฐ™์€ ์ง€์‹œ๋ฌธ์„ ์ค€ ๋Œ€์กฐ๊ฐ€ ์žˆ์–ด์•ผ ์‚ฌ๋žŒ ์˜์ƒ์˜ ๊ธฐ์—ฌ๋ฅผ ๋ถ„๋ฆฌํ•  ์ˆ˜ ์žˆ๋‹ค.
  • ์‹ค๊ธฐ ๋น„๊ต์˜ ์กฐ๊ฑด์ด ๋œ ์ ํ˜€ ์žˆ๋‹ค. ๋ฒ ์ด์Šค๋ผ์ธ์˜ ์ดˆ๊ธฐ ์ฒดํฌํฌ์ธํŠธ, ํ‰๊ฐ€์ž์™€ ์‹œํ–‰ ์ˆœ์„œ, ์˜ค์ฐจ ๋ง‰๋Œ€์˜ ์ •์˜๊ฐ€ ์—†๋‹ค. ๋ณธ๋ฌธ์˜ โ€œID์—์„œ๋Š” ๋น„์Šทํ•˜๋‹คโ€๋Š” ์„œ์ˆ ์€ ํ‘œ 6๊ณผ ์–ด๊ธ‹๋‚˜๊ณ (60/60 vs 47/60), Fig. 3 ์บก์…˜์˜ โ€œ๋ฒ ์ด์Šค๋ผ์ธ์ด OOD์—์„œ ํฌ๊ฒŒ ๋–จ์–ด์ง„๋‹คโ€๋Š” cup hanging(๋ฒ ์ด์Šค๋ผ์ธ OOD๊ฐ€ ID๋ณด๋‹ค ๋†’์Œ)์—์„œ ์„ฑ๋ฆฝํ•˜์ง€ ์•Š๋Š”๋‹ค. OOD๋Š” ๊ณผ์ œ๋ณ„ fine-tuning ๋ฐ์ดํ„ฐ ๊ธฐ์ค€์ด๋ฉฐ, ์‚ฌ์ „ํ•™์Šต ์ฝ”ํผ์Šค์™€์˜ ๊ฒน์นจ์€ ํ™•์ธ๋˜์ง€ ์•Š๋Š”๋‹ค.
  • future prediction ๋ถ„์„์˜ ๊ธฐ์ค€์„ ๊ณผ ํ‰๊ฐ€ ์ •์˜๊ฐ€ ๋น ์ ธ ์žˆ๋‹ค. โ€œํ˜„์žฌ feature ๋ณต์‚ฌโ€ ๊ธฐ์ค€์„ ์ด ์—†๊ณ , โ€œCoD offโ€๋Š” CoD๊ฐ€ ์žˆ๋Š” ์ƒํƒœ๋กœ ํ•™์Šตํ•œ projector์— ๋Œ€ํ•œ ๊ฐœ์ž…์ด๋‹ค. ํ‰๊ฐ€ ์ƒ˜ํ”Œ์˜ ์ถœ์ฒ˜์™€ ์ˆ˜๊ฐ€ ์—†๋‹ค. ์ด ํ‘œ๊ฐ€ ๊ณง RL ๋ณด์ƒ์˜ ํŒ๋ณ„๋ ฅ์„ ๋ณด์—ฌ ์ฃผ๋Š” ์œ ์ผํ•œ ๊ทผ๊ฑฐ์ธ๋ฐ, ์ •๋‹ต CoD์™€ ์„ž์€ CoD์˜ ์ฐจ์ด๊ฐ€ ์ „์ฒด patch 0.03 ์ˆ˜์ค€์ด๋ผ๋Š” ์ ์€ ๋ณด์ƒ ์‹ ํ˜ธ๊ฐ€ ์•ฝํ•  ์ˆ˜ ์žˆ์Œ์„ ์‹œ์‚ฌํ•œ๋‹ค(ํ•„์ž ํ•ด์„).
  • CoD์˜ ๊ณต์œ ๋Š” ์†๋ชฉ ๋ณ€์œ„๊นŒ์ง€๋งŒ์ด๋‹ค. gripperยท์†๊ฐ€๋ฝ ์ƒํƒœ๊ฐ€ ๋น ์ง€๊ณ , ๋กœ๋ด‡์€ base frame, ์‚ฌ๋žŒ์€ yaw๋ฅผ ๋”ฐ๋ผ ๋„๋Š” actor frame์ด๋‹ค. โ€œ๊ฐ™์€ ํ† ํฐ = ๊ฐ™์€ ๋ฌผ๋ฆฌ์  ์ด๋™โ€์ด ์„ฑ๋ฆฝํ•˜๋Š” ๋ฒ”์œ„๋ฅผ ์ •๋Ÿ‰ํ™”ํ•œ ๋ถ„์„์ด ์—†๊ณ , t-SNE๋Š” ์  28๊ฐœ ์ •๋„์™€ ํ•™์Šต ๋ชฉํ‘œ์ƒ ๊ธฐ๋Œ€๋˜๋Š” ๊ตฐ์ง‘์— ๊ธฐ๋Œ„๋‹ค.
  • ์ฝ”๋“œ์™€ ๋ชจ๋ธ์ด ๊ณต๊ฐœ๋˜์ง€ ์•Š์•˜๋‹ค. ๋…ผ๋ฌธ์—๋Š” ์ฝ”๋“œยท๋ชจ๋ธ ๊ณต๊ฐœ ๊ณ„ํš์— ๋Œ€ํ•œ ์–ธ๊ธ‰์ด ์—†๋‹ค. ํ”„๋กœ์ ํŠธ ํŽ˜์ด์ง€์˜ CodeยทModel ๋ฒ„ํŠผ์€ ๋งํฌ ์—†์ด โ€œsoonโ€์œผ๋กœ ํ‘œ์‹œ๋ผ ์žˆ๋‹ค. 4,276์‹œ๊ฐ„ ์ฝ”ํผ์Šค์™€ H100 128์žฅ ๊ทœ๋ชจ์˜ ํ•™์Šต์„ ๊ฐ์•ˆํ•˜๋ฉด ์ œ3์ž๊ฐ€ ๊ฒฐ๊ณผ๋ฅผ ๊ฒ€์ฆํ•  ๊ฒฝ๋กœ๋Š” ํ˜„์žฌ ์—†๋‹ค.

๊ด€๋ จ ์—ฐ๊ตฌ์™€์˜ ์ž๋ฆฌ ๋งค๊น€

MolmoAct2 ์œ„์— ์„ธ์šด ์—ฐ๊ตฌ. ThinkWorld์˜ action expert, per-layer KV conditioning, ์ƒํƒœ ํ† ํฐํ™”, BimanualYAM ๋ฐ์ดํ„ฐ, FAST์‹ 1์ดˆยท2,048์–ดํœ˜ tokenizer, ๊ทธ๋ฆฌ๊ณ  discrete ํ† ํฐ๊ณผ ์—ฐ์† expert๋ฅผ ๊ฐ™์ด ํ•™์Šตํ•˜๋Š” ๊ตฌ๋„๋Š” ๋ชจ๋‘ MolmoAct2์—์„œ ์™”๋‹ค. MolmoAct2 ์ž์ฒด๋„ discrete action co-training๊ณผ knowledge insulation์„ ์ ˆ์ œํ–ˆ๋‹ค. ThinkWorld๊ฐ€ ๋ฐ”๊พผ ๊ฒƒ์€ ์„ธ ๊ฐ€์ง€๋‹ค. discrete ํ† ํฐ์„ ๋ฐ์ดํ„ฐ์…‹ ๊ณ ์œ  action์ด ์•„๋‹ˆ๋ผ ์‚ฌ๋žŒ๊ณผ ๋กœ๋ด‡์ด ๊ณต์œ ํ•˜๋Š” ์†๋ชฉ delta๋กœ ๋ฐ”๊ฟจ๊ณ , ๊ทธ ํ† ํฐ์— ๋ฏธ๋ž˜ DINO feature ์˜ˆ์ธก์„ ๋ถ™์˜€๊ณ , ๊ทธ ์˜ˆ์ธก์œผ๋กœ ํ† ํฐ์„ GRPO๋กœ ๋‹ค๋“ฌ์—ˆ๋‹ค. VLM ๋ฐฑ๋ณธ์€ Molmo2-ER์—์„œ Qwen3-VL-2B๋กœ ๋ฐ”๋€Œ์—ˆ๋‹ค. ์ด ๊ด€๊ณ„๋ฅผ ์ƒ๊ฐํ•˜๋ฉด MolmoAct2๊ฐ€ ์‹œ๋ฎฌ๋ ˆ์ด์…˜ ํ‘œ์—์„œ ๋น ์ง„ ๊ฒƒ์ด ๋” ์•„์‰ฝ๋‹ค.

ํ•™์Šต ๋•Œ๋งŒ ์ƒ์ƒํ•˜๋Š” world action model. ๋ฏธ๋ž˜ ์˜ˆ์ธก์„ ์ œ์–ด ์ถœ๋ ฅ์ด ์•„๋‹ˆ๋ผ ํ•™์Šต ์‹ ํ˜ธ๋กœ๋งŒ ์“ฐ๋Š” ํ๋ฆ„์€ Fast-WAM์ด ์ •๋ฉด์œผ๋กœ ๋‹ค๋ค˜๋‹ค. Fast-WAM์€ ๋น„๋””์˜ค DiT ์œ„์—์„œ action ํ† ํฐ์ด ๋ฏธ๋ž˜ ํ† ํฐ์„ ๋ณด์ง€ ๋ชปํ•˜๊ฒŒ ๋งˆ์Šคํ‚นํ•ด ์ถ”๋ก  ๋•Œ ์ƒ์ƒ์„ ๋–ผ์–ด ๋ƒˆ๊ณ , ThinkWorld๋Š” VLM ์œ„์—์„œ action expert๊ฐ€ CoD์™€ query๋ฅผ ๋ณด์ง€ ๋ชปํ•˜๊ฒŒ ํ•ด์„œ ๊ฐ™์€ ํšจ๊ณผ๋ฅผ ๋‚ธ๋‹ค. Cosmos Policy๋Š” ๋ฐ˜๋Œ€๋กœ ์ƒ์ƒํ•œ ๋ฏธ๋ž˜์˜ ๊ฐ€์น˜๋ฅผ ํ…Œ์ŠคํŠธ ํƒ€์ž„ ํƒ์ƒ‰์— ์“ฐ์ง€๋งŒ, ๊ทธ ๋…ผ๋ฌธ์˜ ์ ˆ์ œ๋„ ๋ฏธ๋ž˜ ์ƒํƒœ ์˜ˆ์ธก ์ž์ฒด๊ฐ€ ์„ฑ๋Šฅ์˜ ํฐ ๋ชซ์ด๋ผ๋Š” ๊ฐ™์€ ๋ฉ”์‹œ์ง€๋ฅผ ์คฌ๋‹ค. ๋ฏธ๋ž˜ ํ‘œํ˜„์œผ๋กœ DINOv3 feature๋ฅผ ๊ณ ๋ฅธ ๊ฒƒ์€ Flex-ฯ€๊ฐ€ RGB latent์— DINOv3 semantics ์ŠคํŠธ๋ฆผ์„ ์–น์€ ์„ ํƒ๊ณผ ๊ฐ™์€ ๋ฐฉํ–ฅ์ด๋‹ค. ThinkWorld๊ฐ€ ์ด๋“ค๊ณผ ๋‹ค๋ฅธ ์ ์€ ์˜ˆ์ธก์„ ํ”ฝ์…€์ด๋‚˜ latent ์˜์ƒ์ด ์•„๋‹ˆ๋ผ 1์ดˆ ๋’ค ํ•œ ํ”„๋ ˆ์ž„์˜ patch feature๋กœ ์ค„์—ฌ, VLM ํ•˜๋‚˜ ์•ˆ์—์„œ ๋‹ค๋ค˜๋‹ค๋Š” ๊ฒƒ์ด๋‹ค. ๊ด€๋ จ ์—ฐ๊ตฌ ์ ˆ์€ Hydra-0, DreamDojo, mimic-video๋„ ๋Œ€๊ทœ๋ชจ world modelยทvideo-action model์˜ ๋งฅ๋ฝ์œผ๋กœ ์ธ์šฉํ•œ๋‹ค.

์‚ฌ๋žŒ ์˜์ƒ์„ ์“ฐ๋Š” ๋ฐฉ์‹. EgoScale๊ณผ EgoEngine์€ ์‚ฌ๋žŒ ์†์„ ๋กœ๋ด‡ action ๊ณต๊ฐ„์œผ๋กœ ๋ช…์‹œ์ ์œผ๋กœ ์˜ฎ๊ธฐ๋Š” ์ชฝ์ด๊ณ , DreamDojo๋Š” ๋ผ๋ฒจ ์—†๋Š” ์‚ฌ๋žŒ ์˜์ƒ์— latent action์„ ๋ถ™์ด๋Š” ์ชฝ์ด๋‹ค. ThinkWorld๋Š” ์‚ฌ์ „ํ•™์Šต์—์„œ๋Š” EgoDexยทEgoVerse์˜ ์†๋ชฉ ๊ถค์ ์„ ๋ช…์‹œ์  ๊ฐ๋…์œผ๋กœ ์“ฐ๋ฉด์„œ(์•ž์ชฝ ๊ณ„์—ด), ๋ฏธ๋ž˜ ๋Œ€์กฐ ๋ณด์ƒ์œผ๋กœ ๋ผ๋ฒจ ์—†๋Š” ์ชฝ์œผ๋กœ ๋„“ํž ์ˆ˜ ์žˆ๋Š” ๊ฒฝ๋กœ๋ฅผ ์„ค๊ณ„์— ๋„ฃ์—ˆ๋‹ค(๋’ค์ชฝ ๊ณ„์—ด). ๋‹ค๋งŒ ์•ž์„œ ์งš์—ˆ๋“ฏ ๋’ค์ชฝ ๊ฒฝ๋กœ์˜ ์ด๋“์€ ์•„์ง ์ธก์ •๋˜์ง€ ์•Š์•˜๋‹ค. ์‚ฌ๋žŒ-๋กœ๋ด‡ ์ „์ด๊ฐ€ ์‚ฌ์ „ํ•™์Šต ๋‹ค์–‘์„ฑ์—์„œ emergentํ•˜๊ฒŒ ์ƒ๊ธด๋‹ค๋Š” ฯ€0.5 human-to-robot ์—ฐ๊ตฌ, ์ •๋ ฌ๋œ ์‚ฌ๋žŒ-๋กœ๋ด‡ ๋ฐ์ดํ„ฐ๊ฐ€ ์•ต์ปค๋กœ ์žˆ์–ด์•ผ ์Šค์ผ€์ผ๋ง์ด ๋‚˜ํƒ€๋‚œ๋‹ค๋Š” EgoVerse์˜ ๊ฒฐ๋ก ๊ณผ ๋น„๊ตํ•˜๋ฉด, ThinkWorld์˜ Fig. 6(+2.4%p, ๋Œ€์กฐ๊ตฐ ๋Œ€๋น„ +1.2%p)์€ ๊ฐ™์€ ์งˆ๋ฌธ์— ๋Œ€ํ•œ ์ž‘์€ ํฌ๊ธฐ์˜ ์ถ”๊ฐ€ ์ฆ๊ฑฐ๋‹ค.

์ถ”๋ก  ๊ฐ•ํ™” VLA. ThinkAct(ํ…์ŠคํŠธยท์‹œ๊ฐ ๊ณ„ํš์„ action ์ •๋ ฌ ๋ณด์ƒ์œผ๋กœ ๊ฐ•ํ™”), MolmoAct(๊ณต๊ฐ„ ๊ถค์ ), Fast-ThinkAct(latent ์ƒ๊ฐ), ACoT-VLA(coarse action)์™€ ๋น„๊ตํ•˜๋ฉด ThinkWorld๋Š” ์ถ”๋ก ์˜ โ€œ๋‚ด์šฉโ€์„ ์†๋ชฉ motion์œผ๋กœ, ๋ณด์ƒ์„ โ€œ์„ธ๊ณ„ ๋ณ€ํ™”์™€์˜ ์ผ์น˜โ€๋กœ ๋ฐ”๊พผ ๋ณ€ํ˜•์ด๋‹ค. ThinkAct๊ฐ€ RL ๋ณด์ƒ์„ action ์ •๋ ฌ์—์„œ ์–ป๋Š”๋‹ค๋ฉด ThinkWorld๋Š” ๊ด€์ธก ๋ฏธ๋ž˜์—์„œ ์–ป๋Š”๋‹ค๋Š” ์ ์ด ๋Œ€๋น„๋œ๋‹ค.

์š”์•ฝ

ThinkWorld๋Š” VLA์˜ ์ค‘๊ฐ„ ์ถ”๋ก ์„ ์‚ฌ๋žŒ๊ณผ ๋กœ๋ด‡์ด ๊ณต์œ ํ•˜๋Š” ์†๋ชฉ motion token(CoD)์œผ๋กœ ์ •ํ•˜๊ณ , CoD๊ฐ€ ๋งŒ๋“ค 1์ดˆ ๋’ค ์žฅ๋ฉด์„ DINOv3 feature๋กœ ์˜ˆ์ธกํ•˜๊ฒŒ ํ•œ ๋’ค, ์ƒ์ƒ๊ณผ ์‹ค์ œ ๋ฏธ๋ž˜์˜ ์ผ์น˜๋ฅผ ๋ณด์ƒ์œผ๋กœ GRPO๋ฅผ ๋Œ๋ฆฐ๋‹ค. ๋ฐฐํฌ ๋•Œ๋Š” CoD๋„ ์ƒ์ƒ๋„ ์ƒ์„ฑํ•˜์ง€ ์•Š์œผ๋ฏ€๋กœ ์ง€์—ฐ์€ ์ผ๋ฐ˜ VLA์™€ ๊ฐ™๋‹ค. ์‹ค๊ธฐ bimanual YAM์—์„œ OOD 52/60(MolmoAct2 25/60)์€ ์ด ๋…ผ๋ฌธ์˜ ๊ฐ€์žฅ ๋‹จ๋‹จํ•œ ๊ฒฐ๊ณผ์ด๊ณ , LIBERO-PRO ํ‰๊ท  55.6%๋„ ํ‘œ ์•ˆ์—์„œ๋Š” ์ตœ๊ณ ๋‹ค.

ํ•œ๊ณ„๋Š” ์ฃผ์žฅ๊ณผ ์ฆ๊ฑฐ์˜ ์ง์— ์žˆ๋‹ค. ์ œ๋ชฉ์ด ๊ฐ•์กฐํ•˜๋Š” world-imagination RL์€ ์ ˆ์ œ์—์„œ +1.2%p(์‹œ๋“œ 1๊ฐœ)์ด๊ณ , ์ด๋“์˜ ๋Œ€๋ถ€๋ถ„์€ future prediction ์†์‹ค์ด ๋งŒ๋“ ๋‹ค. โ€œ๋ผ๋ฒจ ์—†๋Š” ์˜์ƒ์œผ๋กœ RL์„ ํ™•์žฅํ•œ๋‹คโ€๋Š” ๊ธฐ๋Šฅ์€ ์„ค๊ณ„๋งŒ ์žˆ๊ณ  ์‹คํ—˜์—์„œ๋Š” ๋ผ๋ฒจ ์žˆ๋Š” ๋ฐ์ดํ„ฐ๋กœ๋งŒ RL์„ ๋Œ๋ ธ๋‹ค. LIBERO ํ‘œ๋Š” ๊ฐ™์€ action expert๋ฅผ ์“ด MolmoAct2 ๊ณ„์—ด์„ ๋นผ๊ณ  ๋น„๊ตํ–ˆ๊ณ , skill composition์€ ๋Œ€์กฐ๊ตฐ ์—†๋Š” ์ •์„ฑ ์˜ˆ์‹œ๋‹ค. ์ฝ”๋“œ์™€ ๋ชจ๋ธ์€ ์•„์ง ๊ณต๊ฐœ๋˜์ง€ ์•Š์•˜๋‹ค. ๋‹ค์Œ์œผ๋กœ ๋ณด๊ณ  ์‹ถ์€ ๊ฒƒ์€ ์†๋ชฉ ๋ผ๋ฒจ์„ ์ง€์šด ์‚ฌ๋žŒ ์˜์ƒ๋งŒ์œผ๋กœ RL์„ ๋Œ๋ ธ์„ ๋•Œ์˜ ์ด๋“, RL ์ค‘ ๋ณด์ƒ ๋ถ„์‚ฐ๊ณผ ํ•™์Šต ๊ณก์„ , MolmoAct2๋ฅผ ๊ฐ™์€ ์กฐ๊ฑด์œผ๋กœ ๋„ฃ์€ ์‹œ๋ฎฌ๋ ˆ์ด์…˜ ๋น„๊ต, ๊ทธ๋ฆฌ๊ณ  skill composition์˜ ์ •๋Ÿ‰ ํ‰๊ฐ€๋‹ค.

์ด ๊ธ€์— ๋Œ€ํ•ด

  • ์ฝ์€ ๋ฒ”์œ„: arXiv v1(2026-10-27, 34์ชฝ)์˜ PDF์™€ e-print LaTeX ์†Œ์Šค๋ฅผ ์ฝ์—ˆ๋‹ค. ํ‘œ์˜ ์ˆ˜์น˜๋Š” LaTeX ์†Œ์Šค์˜ ํ‘œ ํŒŒ์ผ์—์„œ ์˜ฎ๊ธฐ๊ณ  PDF์™€ ๋Œ€์กฐํ–ˆ๋‹ค. ๊ทธ๋ฆผ์€ e-print ์†Œ์Šค์— ๋“ค์–ด ์žˆ๋Š” ์›๋ณธ ๊ทธ๋ฆผ ํŒŒ์ผ์—์„œ ๊ฐ€์ ธ์™”๋‹ค. ๋น„๊ต๋ฅผ ์œ„ํ•ด MolmoAct2 ๋…ผ๋ฌธ(arXiv:2605.02881) Table 8, LIBERO-PRO์™€ LIBERO-Plus ๊ณต์‹ ๋ ˆํฌ์˜ ๋ฆฌ๋”๋ณด๋“œ, ํ”„๋กœ์ ํŠธ ํŽ˜์ด์ง€์˜ ๋ณธ๋ฌธ๊ณผ ์˜์ƒ ๋ฉ”ํƒ€๋ฐ์ดํ„ฐ๋ฅผ ํ•จ๊ป˜ ๋Œ€์กฐํ–ˆ๋‹ค.
  • ๊ณต๊ฐœ ๋ฒ”์œ„: ๋…ผ๋ฌธ์—๋Š” ์ฝ”๋“œยท๋ชจ๋ธ ๋งํฌ์™€ ๊ณต๊ฐœ ๊ณ„ํš์ด ์—†๋‹ค. ํ”„๋กœ์ ํŠธ ํŽ˜์ด์ง€์˜ CodeยทModel ๋ฒ„ํŠผ์€ โ€œsoonโ€์œผ๋กœ ํ‘œ์‹œ๋ผ ์žˆ๊ณ  ๋งํฌ๊ฐ€ ์—†๋‹ค. ์ด ๋ฆฌ๋ทฐ์˜ ๋ชจ๋“  ์„ฑ๊ณต๋ฅ ์€ ๋…ผ๋ฌธ์ด ๋ณด๊ณ ํ•œ ๊ฐ’์ด๋ฉฐ ์žฌํ˜„ ํ™•์ธ์€ ํ•˜์ง€ ์•Š์•˜๋‹ค.
  • ์˜์ƒ: ๋ณธ๋ฌธ์˜ ์˜์ƒ์€ ํ”„๋กœ์ ํŠธ ํŽ˜์ด์ง€์˜ mp4๋ฅผ ๊ทธ๋Œ€๋กœ ๋ถˆ๋Ÿฌ์˜จ ๊ฒƒ์ด๋‹ค(๋ฌด์Œ). ์‹ค๊ธฐ side-by-side์™€ skill composition ์˜์ƒ์€ ํŽ˜์ด์ง€๊ฐ€ ๊ณ ๋ฅธ ๋Œ€ํ‘œ ์—ํ”ผ์†Œ๋“œ ํ•œ ๊ฐœ์”ฉ์ด๋‹ค.
  • ํ‘œ๊ธฐ: โ€œํ•„์ž ๊ณ„์‚ฐยท๊ฒ€์‚ฐโ€์€ ๋…ผ๋ฌธ ํ‘œ์˜ ๊ฐ’์œผ๋กœ ์ง์ ‘ ๊ณ„์‚ฐํ•œ ๊ฐ’(Fisher ๊ฒ€์ •, Wilson ๊ตฌ๊ฐ„, ํ•ฉ๊ณ„์™€ ๋น„์œจ, ์ถ•๋ณ„ ์ฐจ์ด, ๋‹จ์ˆœ ํ‰๊ท )์ด๋‹ค. โ€œ๊ทธ๋ฆผ์—์„œ ์ฝ์Œโ€์€ Fig. 6์˜ ๋ง‰๋Œ€ยท์ ์—์„œ ์ฝ์€ ๊ทผ์‚ฌ์น˜์ด๊ณ , t-SNE ์  ๊ฐœ์ˆ˜๋„ ๊ทธ๋ฆผ์—์„œ ์„ผ ๊ฐ’์ด๋‹ค. ๊ทธ๋ฆผ ๋ฒˆํ˜ธ๋Š” PDF ๊ธฐ์ค€์ด๋ฉฐ, arXiv HTML์€ ๋ถ€๋ก ๊ทธ๋ฆผ์„ ํŽ˜์ด์ง€๋ณ„๋กœ ๋”ฐ๋กœ ์„ธ์–ด ๋ฒˆํ˜ธ๊ฐ€ ๋‹ค๋ฅด๋‹ค.

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