CANONICAL FORM AND GROEBNER BASES OF NEURAL IDEAL
Suppose that C f0; 1gn is a neural code. Neural ideal JC which is generated from neural code can provide an overview of the receptive field structure through its canonical form. The non-trivial neural code that is a simplicial complex has a canonical form that only contains Type 1 relations. In...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/36154 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Suppose that C f0; 1gn is a neural code. Neural ideal JC which is generated
from neural code can provide an overview of the receptive field structure through its
canonical form. The non-trivial neural code that is a simplicial complex has a canonical
form that only contains Type 1 relations. In this thesis, it can be shown that
the complement of neural code which is simplicial complex has a canonical form
that only contains Type 3 relations. Furthermore, a Groebner basis of neural ideal
is equal with its canonical form when the complement of neural code is simplicial
complex. In addition, we give other characteristics, called -complete, so that the
canonical form of the neural ideal is a Groebner basis of neural ideal. |
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