dorsal/arxiv
View SchemaStability of Negative Image Equilibria in Spike-Timing Dependent Plasticity
| Authors | Alan Williams, Patrick D. Roberts, Todd K. Leen |
|---|---|
| Categories | |
| ArXiv ID | physics/0304062 |
| URL | https://arxiv.org/abs/physics/0304062 |
| DOI | 10.1103/PhysRevE.68.021923 |
Abstract
We investigate the stability of negative image equilibria in mean synaptic weight dynamics governed by spike-timing dependent plasticity (STDP). The neural architecture of the model is based on the electrosensory lateral line lobe (ELL) of mormyrid electric fish, which forms a negative image of the reafferent signal from the fish's own electric discharge to optimize detection of external electric fields. We derive a necessary and sufficient condition for stability, for arbitrary postsynaptic potential functions and arbitrary learning rules. We then apply the general result to several examples of biological interest.
{
"annotation_id": "4afbc376-1f64-47ec-bdb6-db373ca91de5",
"date_created": "2026-03-02T18:00:42.744000Z",
"date_modified": "2026-03-02T18:00:42.744000Z",
"file_hash": "44eb4179fabbb936c94225a700061eef77872ce43c5a8674de5caadf2c79b92c",
"private": false,
"record": {
"abstract": "We investigate the stability of negative image equilibria in mean synaptic\nweight dynamics governed by spike-timing dependent plasticity (STDP). The\nneural architecture of the model is based on the electrosensory lateral line\nlobe (ELL) of mormyrid electric fish, which forms a negative image of the\nreafferent signal from the fish\u0027s own electric discharge to optimize detection\nof external electric fields. We derive a necessary and sufficient condition for\nstability, for arbitrary postsynaptic potential functions and arbitrary\nlearning rules. We then apply the general result to several examples of\nbiological interest.",
"arxiv_id": "physics/0304062",
"authors": [
"Alan Williams",
"Patrick D. Roberts",
"Todd K. Leen"
],
"categories": [
"physics.bio-ph",
"q-bio"
],
"doi": "10.1103/PhysRevE.68.021923",
"title": "Stability of Negative Image Equilibria in Spike-Timing Dependent Plasticity",
"url": "https://arxiv.org/abs/physics/0304062"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "de5eed30-4bed-4ef5-99f9-508e3304a1a0",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}