Nicole Rust on Nostr: npub1qtkdu…txqrw npub15swlx…zx855 (Curious to learn more! I need to read the ...
npub1qtkdu9s8mnygvkcvycw0wtmp85t95v25v8eyavtkx2q0nhnuxmnq9txqrw (npub1qtk…xqrw) npub15swlxudlhx4ttcgsd4556zuqrl57qndxmt4n3dnzrkqn89nxv6lsjzx855 (npub15sw…x855)
(Curious to learn more! I need to read the paper but I don't think it matters so much for my question). Is it fair to say that of the 4 "criteria for an attractor" described below (from https://www.nature.com/articles/s41583-022-00642-0), a subset (but not all) have been met? And to also note that very few papers illustrate all 4 in one study? Or would you npub15swlxudlhx4ttcgsd4556zuqrl57qndxmt4n3dnzrkqn89nxv6lsjzx855 (npub15sw…x855) maybe prioritize #2 over some of the others when using the "A" word?
Criteria for attractor dynamics
The fundamental predictions of attractor models centre on the state- space dynamics of the circuit, as initially explicitly discussed and tested in refs.9,15,77,78. First, a system’s states should be found localized at or around a low-dimensional set of states that correspond to the attrac- tors in the state space. Second, a system’s state should flow quickly back to the low-dimensional state after perturbation. Third, the set of attractor states — quantified either by direct characterization of the full state space or by the relationships between cells — should be invariant, persisting over time and after removal of tuned input, across conditions, across behavioural states and even when there are induced variations in the mapping from internal states to external inputs15,77,78. Fourth, integrator networks should further exhibit the property of isometry, whereby lengths of coding space along a dimension are allo- cated to equal displacements along a dimension of the external variable. Additional predictions of attractor dynamics models, that are not as fundamental in the sense that they are not theoretically necessary or sufficient but are nevertheless of high importance because they are highly supportive of the mechanisms of attractor dynamics, are anatomical and structural correlates: the existence of low-dimensional physical structures and directly visible symmetries in connectivity between cells.
(Curious to learn more! I need to read the paper but I don't think it matters so much for my question). Is it fair to say that of the 4 "criteria for an attractor" described below (from https://www.nature.com/articles/s41583-022-00642-0), a subset (but not all) have been met? And to also note that very few papers illustrate all 4 in one study? Or would you npub15swlxudlhx4ttcgsd4556zuqrl57qndxmt4n3dnzrkqn89nxv6lsjzx855 (npub15sw…x855) maybe prioritize #2 over some of the others when using the "A" word?
Criteria for attractor dynamics
The fundamental predictions of attractor models centre on the state- space dynamics of the circuit, as initially explicitly discussed and tested in refs.9,15,77,78. First, a system’s states should be found localized at or around a low-dimensional set of states that correspond to the attrac- tors in the state space. Second, a system’s state should flow quickly back to the low-dimensional state after perturbation. Third, the set of attractor states — quantified either by direct characterization of the full state space or by the relationships between cells — should be invariant, persisting over time and after removal of tuned input, across conditions, across behavioural states and even when there are induced variations in the mapping from internal states to external inputs15,77,78. Fourth, integrator networks should further exhibit the property of isometry, whereby lengths of coding space along a dimension are allo- cated to equal displacements along a dimension of the external variable. Additional predictions of attractor dynamics models, that are not as fundamental in the sense that they are not theoretically necessary or sufficient but are nevertheless of high importance because they are highly supportive of the mechanisms of attractor dynamics, are anatomical and structural correlates: the existence of low-dimensional physical structures and directly visible symmetries in connectivity between cells.