{
  "handle": "InteractionSequenceEntropySignature",
  "ref": "InteractionSequenceEntropySignature#8e4b",
  "stub": "8e4b",
  "semaId": "sema:InteractionSequenceEntropySignature#mh:SHA-256:8e4b712961babae9592a8b770702ab22cb5aba550eaacceebb80484b087dde36",
  "layer": "Mind",
  "category": "Inference",
  "gloss": "Collective regimes differ in how predictable the next interaction is, and only an order-keeping network shows it",
  "mechanism": "Build a {{second_order_network}} per short window (3 s), measure its {{degree_entropy}}, and place every window in an {{entropy_collapse}} against interaction density. Degree entropy here is the diversity of possible next interactions: high means many branching, merging successions (low predictability), low means few likely continuations. In fire ant colonies the regimes separated (GEE Wald chi^2(4) = 20.6, p = 0.0004) while the same measures on aggregated networks did not, as {{aggregation_blindness}} predicts. Roaming sat at low interaction density and low entropy density: sparse, predictable chains. As interaction density rises the regimes split: trailing at higher entropy density (branching, merging and redirection along trails) and aggression at lower (long-lived contact bouts with short inspection or avoidance events). A {{kinematic_null}} run through the same pipeline collapsed poorly (R^2 = 0.29 versus 0.68 empirical), so the signature reflects interaction rules and memory, not movement statistics. {{spectral_entropy}} on the same networks collapsed almost perfectly (R^2 = 0.999) but with near-zero exponents, i.e. it mostly tracked density.",
  "invariants": [
    "Regimes are compared at matched interaction density, not by raw entropy",
    "The same pipeline is applied to empirical and null trajectories",
    "The signature is read from succession structure, so it disappears if order is aggregated away"
  ],
  "failureModes": [
    "Generalising from three regimes and ten laboratory colonies to all collective behaviour",
    "Total degree ignores direction, losing the difference between converging and diverging successions",
    "Proximity-defined interactions inflate event counts in dense regimes such as aggression",
    "Over-reading a good spectral collapse that is really a density effect"
  ],
  "ring": 2,
  "tier": 2,
  "aliases": {
    "entropy_collapse": "EntropyDensityCollapse",
    "kinematic_null": "SpatioTemporalNullModel",
    "degree_entropy": "DegreeEntropy",
    "spectral_entropy": "SpectralEntropy",
    "aggregation_blindness": "TimeAggregationBlindness",
    "second_order_network": "SecondOrderInteractionNetwork"
  },
  "buildsOn": [
    {
      "handle": "EntropyDensityCollapse",
      "type": "composes_with",
      "alias": "entropy_collapse",
      "url": "/knowledge-graph/EntropyDensityCollapse/",
      "json": "/knowledge-graph/EntropyDensityCollapse.json"
    },
    {
      "handle": "SpatioTemporalNullModel",
      "type": "references",
      "alias": "kinematic_null",
      "url": "/knowledge-graph/SpatioTemporalNullModel/",
      "json": "/knowledge-graph/SpatioTemporalNullModel.json"
    },
    {
      "handle": "DegreeEntropy",
      "type": "composes_with",
      "alias": "degree_entropy",
      "url": "/knowledge-graph/DegreeEntropy/",
      "json": "/knowledge-graph/DegreeEntropy.json"
    },
    {
      "handle": "SpectralEntropy",
      "type": "references",
      "alias": "spectral_entropy",
      "url": "/knowledge-graph/SpectralEntropy/",
      "json": "/knowledge-graph/SpectralEntropy.json"
    },
    {
      "handle": "TimeAggregationBlindness",
      "type": "references",
      "alias": "aggregation_blindness",
      "url": "/knowledge-graph/TimeAggregationBlindness/",
      "json": "/knowledge-graph/TimeAggregationBlindness.json"
    },
    {
      "handle": "SecondOrderInteractionNetwork",
      "type": "composes_with",
      "alias": "second_order_network",
      "url": "/knowledge-graph/SecondOrderInteractionNetwork/",
      "json": "/knowledge-graph/SecondOrderInteractionNetwork.json"
    }
  ],
  "usedBy": [
    {
      "handle": "RepresentationDependentOrder",
      "type": "references",
      "alias": "sequence_signature",
      "url": "/knowledge-graph/RepresentationDependentOrder/",
      "json": "/knowledge-graph/RepresentationDependentOrder.json"
    },
    {
      "handle": "CollectiveInformationArchitecture",
      "type": "composes_with",
      "alias": "sequence_signature",
      "url": "/knowledge-graph/CollectiveInformationArchitecture/",
      "json": "/knowledge-graph/CollectiveInformationArchitecture.json"
    }
  ],
  "sources": {
    "research": [],
    "works": [
      {
        "kind": "thesis",
        "label": "Kevin Do, PhD thesis on ant collective behaviour (NCSU, 2026)",
        "note": "Ch. 4.2.3, Figs. 4.3-4.5; Ch. 5.1, 5.3, 5.4",
        "url": ""
      }
    ],
    "homePage": false
  },
  "url": "/knowledge-graph/InteractionSequenceEntropySignature/",
  "graphUrl": "/knowledge-graph#InteractionSequenceEntropySignature",
  "directory": "/knowledge-graph/patterns.json"
}