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However, existing neural mean-field methods typically either take the limit of small interaction sizes, or are applicable only to the specific neuron models for which they were derived. This paper derives a mean-field model by fitting a transfer function called Refractory SoftPlus, which is simple yet applicable to a broad variety of neuron types. The transfer function is fitted numerically to simulated spike time data, and is entirely agnostic to the underlying neuronal dynamics. The resulting mean-field model predicts the response of a network of randomly connected neurons to a time-varying external stimulus with a high degree of accuracy. Furthermore, it enables an accurate approximate bifurcation analysis as a function of the level of recurrent input. This model does not assume large presynaptic rates or small postsynaptic potential size, allowing mean-field models to be developed even for populations with large interaction terms.<\/jats:p>","DOI":"10.1088\/2634-4386\/ad787f","type":"journal-article","created":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T22:52:31Z","timestamp":1725922351000},"page":"034013","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Model-agnostic neural mean field with a data-driven transfer function"],"prefix":"10.1088","volume":"4","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0702-3945","authenticated-orcid":true,"given":"Alex","family":"Spaeth","sequence":"first","affiliation":[]},{"given":"David","family":"Haussler","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7085-5248","authenticated-orcid":false,"given":"Mircea","family":"Teodorescu","sequence":"additional","affiliation":[]}],"member":"266","published-online":{"date-parts":[[2024,9,17]]},"reference":[{"year":"1991","author":"Braitenberg","key":"ncead787fbib1"},{"key":"ncead787fbib2","doi-asserted-by":"publisher","first-page":"500","DOI":"10.1113\/jphysiol.1952.sp004764","article-title":"A quantitative description of membrane current and its application to conduction and excitation in nerve","volume":"117","author":"Hodgkin","year":"1952","journal-title":"J. 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