CANONICAL FORM AND GROEBNER BASES OF NEURAL IDEAL

• المؤلف الرئيسي: Sadno, Muhammad
• التنسيق: Theses
• اللغة: Indonesia
• الوصول للمادة أونلاين: 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.