spike train decoding summary decoding of stimulus from response –two choice case discrimination...
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![Page 1: Spike Train decoding Summary Decoding of stimulus from response –Two choice case Discrimination ROC curves –Population decoding MAP and ML estimators](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d645503460f94a46cd2/html5/thumbnails/1.jpg)
![Page 2: Spike Train decoding Summary Decoding of stimulus from response –Two choice case Discrimination ROC curves –Population decoding MAP and ML estimators](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d645503460f94a46cd2/html5/thumbnails/2.jpg)
Spike Train decoding
![Page 3: Spike Train decoding Summary Decoding of stimulus from response –Two choice case Discrimination ROC curves –Population decoding MAP and ML estimators](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d645503460f94a46cd2/html5/thumbnails/3.jpg)
Spike Train decoding
![Page 4: Spike Train decoding Summary Decoding of stimulus from response –Two choice case Discrimination ROC curves –Population decoding MAP and ML estimators](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d645503460f94a46cd2/html5/thumbnails/4.jpg)
Spike Train decoding
![Page 5: Spike Train decoding Summary Decoding of stimulus from response –Two choice case Discrimination ROC curves –Population decoding MAP and ML estimators](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d645503460f94a46cd2/html5/thumbnails/5.jpg)
Summary
• Decoding of stimulus from response– Two choice case
• Discrimination• ROC curves
– Population decoding• MAP and ML estimators• Bias and variance• Fisher information, Cramer-Rao bound
– Spike train decoding
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Chapter 4
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Entropy
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Entropy
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Mutual information
H_noise< H
![Page 10: Spike Train decoding Summary Decoding of stimulus from response –Two choice case Discrimination ROC curves –Population decoding MAP and ML estimators](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d645503460f94a46cd2/html5/thumbnails/10.jpg)
Mutual information
![Page 11: Spike Train decoding Summary Decoding of stimulus from response –Two choice case Discrimination ROC curves –Population decoding MAP and ML estimators](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d645503460f94a46cd2/html5/thumbnails/11.jpg)
KL divergence
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Continuous variables
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Entropy maximization
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Entropy maximization
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Population of neurons
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Retinal Ganglion Cell Receptive Fields
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Retinal Ganglion Cell Receptive Fields
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Retinal Ganglion Cell Receptive Fields
![Page 19: Spike Train decoding Summary Decoding of stimulus from response –Two choice case Discrimination ROC curves –Population decoding MAP and ML estimators](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d645503460f94a46cd2/html5/thumbnails/19.jpg)
Retinal Ganglion Cell Receptive Fields
![Page 20: Spike Train decoding Summary Decoding of stimulus from response –Two choice case Discrimination ROC curves –Population decoding MAP and ML estimators](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d645503460f94a46cd2/html5/thumbnails/20.jpg)
Retinal Ganglion Cell Receptive Fields
![Page 21: Spike Train decoding Summary Decoding of stimulus from response –Two choice case Discrimination ROC curves –Population decoding MAP and ML estimators](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d645503460f94a46cd2/html5/thumbnails/21.jpg)
Temporal processing in LGN
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Temporal processing in LGN
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Temporal processing in LGN
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Temporal vs spatial coding
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Entropy of spike trains
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Entropy of spike trains
![Page 27: Spike Train decoding Summary Decoding of stimulus from response –Two choice case Discrimination ROC curves –Population decoding MAP and ML estimators](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d645503460f94a46cd2/html5/thumbnails/27.jpg)
Entropy of spike trains
![Page 28: Spike Train decoding Summary Decoding of stimulus from response –Two choice case Discrimination ROC curves –Population decoding MAP and ML estimators](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d645503460f94a46cd2/html5/thumbnails/28.jpg)
Entropy of spike trains
• Spike train mutual information measurements quantify stimulus specific aspects of neural encoding.
• Mutual information of bullfrog peripheral auditory neurons was estimated– 1.4 bits/sec for broadband noise stimulus– 7.8 bits/sec for bullfrog call-like stimulus
![Page 29: Spike Train decoding Summary Decoding of stimulus from response –Two choice case Discrimination ROC curves –Population decoding MAP and ML estimators](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d645503460f94a46cd2/html5/thumbnails/29.jpg)
Summary
• Information theory quantifies how much a response says about a stimulus– Stimulus, response entropy– Noise entropy– Mutual information, KL divergence
• Maximizing information transfer yields biological receptive fields– Factorial codes– Equalization– Whitening
• Spike train mutual information