Manuel Baltieri
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- a Braitenberg crab, embodying lateral motion because only a distinction on a source bein left/centre/right remains.
14/
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If s~s′, then:
(i) they induce the same observation law, and
(ii) for every admissible action, they assign the same transition probability to every equivalence class.
The quotient preserves observable dynamics.
7/
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🔥 Top post: In other words: which differences (do not) make a difference for · 1 likes + reposts
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- a Braitenberg crab, embodying lateral motion because only a distinction on a source bein left/centre/right remains.
14/
- a Braitenberg sea urchin, with only radial symmetry so that only distance to the source matters, and
13/
We then sketch three candidate habitats in the same light field:
- a Braitenberg sunflower, pinned in place, its bearing remains but distance to the source stops mattering,
12/
This is because the orbit map, q₂b((x,y), θ) = (r, θ_rel), induces a bisimulation quotient.
The habitat removes absolute position around the source and retains distance and signed relative heading: how far away the source is, and how much …
Now, place the vehicle in two configurations related by rotation around an isotropic light source, with distance and relative heading fixed.
The sensors give the same readings. Under any fixed wheel-speed action, the successors remain rela…
To show this in action, we consider a class of Braitenberg vehicles.
Vehicle 2b has two light sensors and two wheels, wired contralaterally. Light on the left accelerates the right wheel, turning the vehicle toward the source; equal readin…
The quotient S/~ forms the habitat’s state space. Its observations and transitions are inherited from the environment.
This construction is relative to a chosen agent-environment boundary. Different interfaces or bisimulation relations can…
If s~s′, then:
(i) they induce the same observation law, and
(ii) for every admissible action, they assign the same transition probability to every equivalence class.
The quotient preserves observable dynamics.
7/
This coarse-graining identifies environmental states that are indistinguishable from the perspective of an agent type. We define it using a standard bisimulation equivalence.
See our previous https://mathstodon.xyz/@arXiv_csAI_bot@mastoxiv…
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- Established account (3+ years old).
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