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Erschienen in:
2018 | OriginalPaper | Buchkapitel
Neural Ideals in SageMath
verfasst von : Ethan Petersen, Nora Youngs, Ryan Kruse, Dane Miyata, Rebecca Garcia, Luis David García Puente
Erschienen in: Mathematical Software – ICMS 2018
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Abstract
A major area in neuroscience research is the study of how the brain processes spatial information. Neurons in the brain represent external stimuli via neural codes. These codes often arise from stereotyped stimulus-response maps, associating to each neuron a convex receptive field. An important problem consists in determining what stimulus space features can be extracted directly from a neural code. The neural ideal is an algebraic object that encodes the full combinatorial data of a neural code. This ideal can be expressed in a canonical form that directly translates to a minimal description of the receptive field structure intrinsic to the code. Here, we describe a SageMath package that contains several algorithms related to the canonical form of a neural ideal.