dorsal/arxiv
View SchemaIsing models for networks of real neurons
| Authors | Gasper Tkacik, Elad Schneidman, Michael J Berry II, William Bialek |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0611072 |
| URL | https://arxiv.org/abs/q-bio/0611072 |
Abstract
Ising models with pairwise interactions are the least structured, or maximum-entropy, probability distributions that exactly reproduce measured pairwise correlations between spins. Here we use this equivalence to construct Ising models that describe the correlated spiking activity of populations of 40 neurons in the retina, and show that pairwise interactions account for observed higher-order correlations. By first finding a representative ensemble for observed networks we can create synthetic networks of 120 neurons, and find that with increasing size the networks operate closer to a critical point and start exhibiting collective behaviors reminiscent of spin glasses.
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"date_created": "2026-03-02T18:01:34.731000Z",
"date_modified": "2026-03-02T18:01:34.731000Z",
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"abstract": "Ising models with pairwise interactions are the least structured, or\nmaximum-entropy, probability distributions that exactly reproduce measured\npairwise correlations between spins. Here we use this equivalence to construct\nIsing models that describe the correlated spiking activity of populations of 40\nneurons in the retina, and show that pairwise interactions account for observed\nhigher-order correlations. By first finding a representative ensemble for\nobserved networks we can create synthetic networks of 120 neurons, and find\nthat with increasing size the networks operate closer to a critical point and\nstart exhibiting collective behaviors reminiscent of spin glasses.",
"arxiv_id": "q-bio/0611072",
"authors": [
"Gasper Tkacik",
"Elad Schneidman",
"Michael J Berry II",
"William Bialek"
],
"categories": [
"q-bio.NC",
"cond-mat.dis-nn"
],
"title": "Ising models for networks of real neurons",
"url": "https://arxiv.org/abs/q-bio/0611072"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "af4bd728-3742-485a-ae2e-f27cc7652f19",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}