Neural ideals and stimulus space visualization
@article{Gross2018NeuralIA, title={Neural ideals and stimulus space visualization}, author={Elizabeth Gross and N. Obatake and Nora Youngs}, journal={Adv. Appl. Math.}, year={2018}, volume={95}, pages={65-95} }
A neural code $\mathcal{C}$ is a collection of binary vectors of a given length n that record the co-firing patterns of a set of neurons. Our focus is on neural codes arising from place cells, neurons that respond to geographic stimulus. In this setting, the stimulus space can be visualized as subset of $\mathbb{R}^2$ covered by a collection $\mathcal{U}$ of convex sets such that the arrangement $\mathcal{U}$ forms an Euler diagram for $\mathcal{C}$. There are some methods to determine whether… CONTINUE READING
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References
SHOWING 1-10 OF 48 REFERENCES
The Neural Ring: An Algebraic Tool for Analyzing the Intrinsic Structure of Neural Codes
- Computer Science, Medicine
- Bulletin of mathematical biology
- 2013
- 85
- PDF
Combinatorial Neural Codes from a Mathematical Coding Theory Perspective
- Computer Science, Biology
- Neural Computation
- 2013
- 33
- PDF
Cell Groups Reveal Structure of Stimulus Space
- Computer Science, Medicine
- PLoS Comput. Biol.
- 2008
- 107
- PDF
A No-Go Theorem for One-Layer Feedforward Networks
- Mathematics, Computer Science
- Neural Computation
- 2014
- 27
- PDF