New complex-valued activation functions
We present a new type of activation functions for a complex-valued neural network (CVNN). A proposed activation function is constructed such that it fixes a given ellipse. We obtain an application to a complex-valued Hopfield neural network (CVHNN) using a special form of the introduced complex func...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Balikesir University
2020-01-01
|
| Series: | An International Journal of Optimization and Control: Theories & Applications |
| Subjects: | |
| Online Access: | http://www.ijocta.org/index.php/files/article/view/756 |
| _version_ | 1828028994764668928 |
|---|---|
| author | Nihal Ozgur Nihal Taş James Francis Peters |
| author_facet | Nihal Ozgur Nihal Taş James Francis Peters |
| author_sort | Nihal Ozgur |
| collection | DOAJ |
| description | We present a new type of activation functions for a complex-valued neural
network (CVNN). A proposed activation function is constructed such that it
fixes a given ellipse. We obtain an application to a complex-valued Hopfield
neural network (CVHNN) using a special form of the introduced complex
functions as an activation function. Considering the interesting geometric
properties of the plane curve ellipse such as focusing property, we
emphasize that these properties may have possible applications in various
neural networks. |
| first_indexed | 2024-04-10T14:03:35Z |
| format | Article |
| id | doaj.art-940703cf05414b4aac4e04c5859fd0f9 |
| institution | Directory Open Access Journal |
| issn | 2146-0957 2146-5703 |
| language | English |
| last_indexed | 2024-04-10T14:03:35Z |
| publishDate | 2020-01-01 |
| publisher | Balikesir University |
| record_format | Article |
| series | An International Journal of Optimization and Control: Theories & Applications |
| spelling | doaj.art-940703cf05414b4aac4e04c5859fd0f92023-02-15T16:10:10ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications2146-09572146-57032020-01-0110110.11121/ijocta.01.2020.00756New complex-valued activation functionsNihal Ozgur0Nihal Taş1James Francis PetersBalikesir UniversityBalikesir UniversityWe present a new type of activation functions for a complex-valued neural network (CVNN). A proposed activation function is constructed such that it fixes a given ellipse. We obtain an application to a complex-valued Hopfield neural network (CVHNN) using a special form of the introduced complex functions as an activation function. Considering the interesting geometric properties of the plane curve ellipse such as focusing property, we emphasize that these properties may have possible applications in various neural networks.http://www.ijocta.org/index.php/files/article/view/756Complex valued neural networkcomplex-valued Hopfield neural networkactivation functionfixed ellipse |
| spellingShingle | Nihal Ozgur Nihal Taş James Francis Peters New complex-valued activation functions An International Journal of Optimization and Control: Theories & Applications Complex valued neural network complex-valued Hopfield neural network activation function fixed ellipse |
| title | New complex-valued activation functions |
| title_full | New complex-valued activation functions |
| title_fullStr | New complex-valued activation functions |
| title_full_unstemmed | New complex-valued activation functions |
| title_short | New complex-valued activation functions |
| title_sort | new complex valued activation functions |
| topic | Complex valued neural network complex-valued Hopfield neural network activation function fixed ellipse |
| url | http://www.ijocta.org/index.php/files/article/view/756 |
| work_keys_str_mv | AT nihalozgur newcomplexvaluedactivationfunctions AT nihaltas newcomplexvaluedactivationfunctions AT jamesfrancispeters newcomplexvaluedactivationfunctions |