Open-World Law-to-Action: Vision-Language Priors and Touch for Parts with Hidden Physics
Organizations: Qatar University
Abstract
A robot in a home it has never seen must open doors, drawers, lids and taps whose physics a picture does not show. Instructions such as "open the drawer halfway, gently" depend on that physics: how far a part travels, how it resists, and what locks it. We present Open-World Law-to-Action (L2A). A vision-language model (VLM) proposes, for each movable part, its motions, the terms of its law of motion, and what may lock it. Each proposal becomes a prior with a floor, so that touch can always overturn it. The robot identifies each part's law online by Bayesian linear regression with closed-form evidence, for parts that move in one way or in two, and keeps a hypothesis that an unseen part or motion locks the target. We prove that touch alone cannot rule this hypothesis out, derive when another look is worth its cost, and show that a constant load and friction cannot be told apart while a part moves one way. All experiments are in simulation, developed on some scenes and run once on held-out ones. In new kitchens the robot completes 80% of tasks from the VLM's proposals, against 98% when every part is known. Proposed physics raises success on objects that need new terms from 353 to 378-383 of 400 episodes, and a second look raises success in mixed scenes from 284 to 329 of 366 tasks. A mobile robot that takes nothing from the simulator completes 70 of 100 requests in new scenes, against 62 when the simulator says which part each box is (after one change made between two held-out tests).
Figures & tables
| Block | Feature (weight) | Example |
| Return spring on | ( ) | a self-closing door |
| Detents, period | clicks of a stove knob | |
| Gravity load | , | a lid that falls shut |
| Constant force on | ( , signed) | a gas strut; the weight on a lift |
| End damper | , near the seat | a soft-close door |
| Cross spring | ( ) | a drawer that sags as it comes out |
| Words | Meaning under the law | Impossible when |
|---|---|---|
| “fully” | jammed, or only releaser forbidden | |
| “halfway” | as above | |
| “one click” | no stable detent above | |
| “gently” | ; speed at a stop | never |
| “without touching X” | for all | X is the only releaser |
| Experiment | Parts, motions | Which part a box is | Handle | Joint | Coordinates | Floor map |
|---|---|---|---|---|---|---|
| Core agent | given | n/a | n/a | sim. | sim. | n/a |
| Kitchens, objects, looks | VLM | sim. pixels | n/a | sim. | sim. | n/a |
| Two motions, mixed scenes | VLM | sim. pixels | n/a | sim. | sim. | n/a |
| Physical robot | VLM | sim. pixels | sim. | sim. | sim. | sim. |
| Handles by depth, joints by touch | VLM | sim. pixels | depth camera | touch | from hand | sim. |
| Nothing from the simulator | VLM | the box itself | depth, gripper camera | touch | from hand | own depth map |
| Valves | Success | Violations |
|---|---|---|
| True law | 100% | 0% |
| Prior only | 53% | 0% |
| Imitation of a teacher | 36% | 35% |
| Certainty equivalent | 49% | 20% |
| Robust, no experiments | 61% | 0% |
| L2A | 98% | 0% |
| Condition | Development (114) | Held-out (117) |
|---|---|---|
| Every law-bound part known | 113 | 115 (100/102, 15/15) |
| One view per part, VLM’s raw ranges | 57 | n/a |
| One view per part, VLM’s numbers ignored | 80 | n/a |
| One view per part, calibrated ranges | 91 | 94 (81/102, 13/15) |
| Two random views, calibrated | 71 | 65 (50/102, 15/15) |
| Two random views and one look at the target | 76 | 86 (71/102, 15/15) |
| Hypothesis space | Lid | Flap | Strut | Soft-close | Self-closing | Total (400) |
|---|---|---|---|---|---|---|
| Original blocks only | 60 | 60 | 80 | 73 | 80 | 353 |
| All blocks, no declaration | 69 | 73 | 65 | 72 | 74 | 353 |
| VLM per family, hard | 79 | 80 | 66 | 73 | 80 | 378 |
| VLM per family, soft | 79 | 80 | 64 | 80 | 80 | 383 |
| VLM per object, hard | 79 | 80 | 66 | 76 | 80 | 381 |
| VLM per object, soft | 78 | 78 | 64 | 79 | 79 | 378 |
| Condition | Success | Refused | Against one free look |
|---|---|---|---|
| One view per part (reference) | 196 | 36/36 | |
| Two random views, no look | 169 | 36/36 | |
| Two views, one free look at the target | 188 | 36/36 | |
| Look rule, answers after 10 s | 177 | 36/36 | 4 won, 15 lost ( ) |
| Look rule, answers after 2 s | 199 | 36/36 | 11 won, 0 lost ( ) |
| Starting belief | Tap | Lift drawer | Lever door | Sagging drawer | All (320) |
|---|---|---|---|---|---|
| None (flat) | 80 | 45 | 79 | 41 | 245 |
| Hand-written | 80 | 46 | 76 | 41 | 243 |
| VLM, one picture | 80 | 62 | 80 | 47 | 269 |
| Perfect (true blocks) | 80 | 62 | 80 | 61 | 283 |
| True law | 80 | 80 | 80 | 80 | 320 |
| Condition | Success (366) |
|---|---|
| True law | 366 |
| True motions, flat prior | 317 |
| Each motion as its own part | 228 |
| VLM, no second look | 284 |
| VLM, with second look | 329 |
| Starting belief | All | One motion | Two motions |
|---|---|---|---|
| True motions, flat prior (robot) | 238 | 51 | 187 |
| VLM with second look (robot) | 247 | 51 | 196 |
| True law (robot) | 326 | 70 | 256 |
| VLM with second look, no body | 354 | 102 | 252 |
| First test | Second test | |||
| Requests | own | sim. | own, looks again | sim. |
| Open halfway, all parts (50) | 19 | 14 | 20 | 14 |
| of which the tap (10) | 5 | 0 | 7 | 1 |
| of which cabinet and lever doors | 0 of 20 | 0 of 20 | 0 of 20 | 0 of 20 |
| Close (50) | 34 | 49 | 50 | 48 |
| All (100) | 53 | 63 | 70 | 62 |
Appendix figures & tables1 asset
Supplementary material from the paper’s appendix.
Appendix
| Symbol | Value | Meaning |
|---|---|---|
| 0.01 s | control period | |
| 0.05 | floor on block and lock weights | |
| 0.5 | minimum relative spread of the range prior | |
| 0.45, 0.04 | prior of free and jammed | |
| 0.40 | prior share of unseen among locks in kitchens (measured) | |
| 0.28 | chance that a look shows a missed releaser in kitchens (measured) |
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