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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id-itb.:361542019-03-08T13:45:57ZCANONICAL FORM AND GROEBNER BASES OF NEURAL IDEAL Sadno, Muhammad Indonesia Theses neural ideal, canonical form, Groebner basis, -complete. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/36154 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. text |
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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. |
| format |
Theses |
| author |
Sadno, Muhammad |
| spellingShingle |
Sadno, Muhammad CANONICAL FORM AND GROEBNER BASES OF NEURAL IDEAL |
| author_facet |
Sadno, Muhammad |
| author_sort |
Sadno, Muhammad |
| title |
CANONICAL FORM AND GROEBNER BASES OF NEURAL IDEAL |
| title_short |
CANONICAL FORM AND GROEBNER BASES OF NEURAL IDEAL |
| title_full |
CANONICAL FORM AND GROEBNER BASES OF NEURAL IDEAL |
| title_fullStr |
CANONICAL FORM AND GROEBNER BASES OF NEURAL IDEAL |
| title_full_unstemmed |
CANONICAL FORM AND GROEBNER BASES OF NEURAL IDEAL |
| title_sort |
canonical form and groebner bases of neural ideal |
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https://digilib.itb.ac.id/gdl/view/36154 |
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