dorsal/arxiv
View SchemaQuantifying the information transmitted in a single stimulus
| Authors | Michele Bezzi |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0601038 |
| URL | https://arxiv.org/abs/q-bio/0601038 |
Abstract
Shannon mutual information provides a measure of how much information is, on average, contained in a set of neural activities about a set of stimuli. It has been extensively used to study neural coding in different brain areas. To apply a similar approach to investigate single stimulus encoding, we need to introduce a quantity specific for a single stimulus. This quantity has been defined in literature by four different measures, but none of them satisfies the same intuitive properties (non-negativity, additivity), that characterize mutual information. We present here a detailed analysis of the different meanings and properties of these four definitions. We show that all these measures satisfy, at least, a weaker additivity condition, i.e. limited to the response set. This allows us to use them for analysing correlated coding, as we illustrate in a toy-example from hippocampal place cells.
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"abstract": "Shannon mutual information provides a measure of how much information is, on\naverage, contained in a set of neural activities about a set of stimuli. It has\nbeen extensively used to study neural coding in different brain areas. To apply\na similar approach to investigate single stimulus encoding, we need to\nintroduce a quantity specific for a single stimulus. This quantity has been\ndefined in literature by four different measures, but none of them satisfies\nthe same intuitive properties (non-negativity, additivity), that characterize\nmutual information. We present here a detailed analysis of the different\nmeanings and properties of these four definitions. We show that all these\nmeasures satisfy, at least, a weaker additivity condition, i.e. limited to the\nresponse set. This allows us to use them for analysing correlated coding, as we\nillustrate in a toy-example from hippocampal place cells.",
"arxiv_id": "q-bio/0601038",
"authors": [
"Michele Bezzi"
],
"categories": [
"q-bio.NC",
"q-bio.QM"
],
"title": "Quantifying the information transmitted in a single stimulus",
"url": "https://arxiv.org/abs/q-bio/0601038"
},
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