English

Estimating smooth and sparse neural receptive fields with a flexible spline basis

Machine Learning 2021-08-23 v1

Abstract

Spatio-temporal receptive field (STRF) models are frequently used to approximate the computation implemented by a sensory neuron. Typically, such STRFs are assumed to be smooth and sparse. Current state-of-the-art approaches for estimating STRFs based on empirical Bayes are often not computationally efficient in high-dimensional settings, as encountered in sensory neuroscience. Here we pursued an alternative approach and encode prior knowledge for estimation of STRFs by choosing a set of basis functions with the desired properties: natural cubic splines. Our method is computationally efficient and can be easily applied to a wide range of existing models. We compared the performance of spline-based methods to non-spline ones on simulated and experimental data, showing that spline-based methods consistently outperform the non-spline versions.

Keywords

Cite

@article{arxiv.2108.07537,
  title  = {Estimating smooth and sparse neural receptive fields with a flexible spline basis},
  author = {Ziwei Huang and Yanli Ran and Jonathan Oesterle and Thomas Euler and Philipp Berens},
  journal= {arXiv preprint arXiv:2108.07537},
  year   = {2021}
}
R2 v1 2026-06-24T05:10:59.857Z