Receptive field inference with localized priors.
The linear receptive field describes a mapping from sensory stimuli to a one-dimensional variable governing a neuron's spike response. However, traditional receptive field estimators such as the spike-triggered average converge slowly and often require large amounts of data. Bayesian methods se...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Public Library of Science (PLoS)
2011-10-01
|
| Series: | PLoS Computational Biology |
| Online Access: | http://europepmc.org/articles/PMC3203052?pdf=render |
| _version_ | 1811266781422026752 |
|---|---|
| author | Mijung Park Jonathan W Pillow |
| author_facet | Mijung Park Jonathan W Pillow |
| author_sort | Mijung Park |
| collection | DOAJ |
| description | The linear receptive field describes a mapping from sensory stimuli to a one-dimensional variable governing a neuron's spike response. However, traditional receptive field estimators such as the spike-triggered average converge slowly and often require large amounts of data. Bayesian methods seek to overcome this problem by biasing estimates towards solutions that are more likely a priori, typically those with small, smooth, or sparse coefficients. Here we introduce a novel Bayesian receptive field estimator designed to incorporate locality, a powerful form of prior information about receptive field structure. The key to our approach is a hierarchical receptive field model that flexibly adapts to localized structure in both spacetime and spatiotemporal frequency, using an inference method known as empirical Bayes. We refer to our method as automatic locality determination (ALD), and show that it can accurately recover various types of smooth, sparse, and localized receptive fields. We apply ALD to neural data from retinal ganglion cells and V1 simple cells, and find it achieves error rates several times lower than standard estimators. Thus, estimates of comparable accuracy can be achieved with substantially less data. Finally, we introduce a computationally efficient Markov Chain Monte Carlo (MCMC) algorithm for fully Bayesian inference under the ALD prior, yielding accurate Bayesian confidence intervals for small or noisy datasets. |
| first_indexed | 2024-04-12T20:49:31Z |
| format | Article |
| id | doaj.art-abe500b7c97b49199313e5d6fbd2cc78 |
| institution | Directory Open Access Journal |
| issn | 1553-734X 1553-7358 |
| language | English |
| last_indexed | 2024-04-12T20:49:31Z |
| publishDate | 2011-10-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS Computational Biology |
| spelling | doaj.art-abe500b7c97b49199313e5d6fbd2cc782022-12-22T03:17:10ZengPublic Library of Science (PLoS)PLoS Computational Biology1553-734X1553-73582011-10-01710e100221910.1371/journal.pcbi.1002219Receptive field inference with localized priors.Mijung ParkJonathan W PillowThe linear receptive field describes a mapping from sensory stimuli to a one-dimensional variable governing a neuron's spike response. However, traditional receptive field estimators such as the spike-triggered average converge slowly and often require large amounts of data. Bayesian methods seek to overcome this problem by biasing estimates towards solutions that are more likely a priori, typically those with small, smooth, or sparse coefficients. Here we introduce a novel Bayesian receptive field estimator designed to incorporate locality, a powerful form of prior information about receptive field structure. The key to our approach is a hierarchical receptive field model that flexibly adapts to localized structure in both spacetime and spatiotemporal frequency, using an inference method known as empirical Bayes. We refer to our method as automatic locality determination (ALD), and show that it can accurately recover various types of smooth, sparse, and localized receptive fields. We apply ALD to neural data from retinal ganglion cells and V1 simple cells, and find it achieves error rates several times lower than standard estimators. Thus, estimates of comparable accuracy can be achieved with substantially less data. Finally, we introduce a computationally efficient Markov Chain Monte Carlo (MCMC) algorithm for fully Bayesian inference under the ALD prior, yielding accurate Bayesian confidence intervals for small or noisy datasets.http://europepmc.org/articles/PMC3203052?pdf=render |
| spellingShingle | Mijung Park Jonathan W Pillow Receptive field inference with localized priors. PLoS Computational Biology |
| title | Receptive field inference with localized priors. |
| title_full | Receptive field inference with localized priors. |
| title_fullStr | Receptive field inference with localized priors. |
| title_full_unstemmed | Receptive field inference with localized priors. |
| title_short | Receptive field inference with localized priors. |
| title_sort | receptive field inference with localized priors |
| url | http://europepmc.org/articles/PMC3203052?pdf=render |
| work_keys_str_mv | AT mijungpark receptivefieldinferencewithlocalizedpriors AT jonathanwpillow receptivefieldinferencewithlocalizedpriors |