{"title":"基于四元数的神经网络研究","authors":"T. Kusakabe, T. Isokawa, N. Kouda, N. Matsui","doi":"10.1109/SICE.2002.1195247","DOIUrl":null,"url":null,"abstract":"A quaternion neural network with nonlinear function is presented in this paper. The quaternion neuron adopts geometrical transformations as operators of data to be processed. Back Propagation for the layered network: with quaternion neurons is also formulated. The simulation results show that the presented model has the ability in learning affine transformation of 3D figures. while conventional neural network can hardly acquire.","PeriodicalId":301855,"journal":{"name":"Proceedings of the 41st SICE Annual Conference. SICE 2002.","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2002-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"A study of neural network based on quaternion\",\"authors\":\"T. Kusakabe, T. Isokawa, N. Kouda, N. Matsui\",\"doi\":\"10.1109/SICE.2002.1195247\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A quaternion neural network with nonlinear function is presented in this paper. The quaternion neuron adopts geometrical transformations as operators of data to be processed. Back Propagation for the layered network: with quaternion neurons is also formulated. The simulation results show that the presented model has the ability in learning affine transformation of 3D figures. while conventional neural network can hardly acquire.\",\"PeriodicalId\":301855,\"journal\":{\"name\":\"Proceedings of the 41st SICE Annual Conference. SICE 2002.\",\"volume\":\"13 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2002-08-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 41st SICE Annual Conference. SICE 2002.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SICE.2002.1195247\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 41st SICE Annual Conference. SICE 2002.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SICE.2002.1195247","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A quaternion neural network with nonlinear function is presented in this paper. The quaternion neuron adopts geometrical transformations as operators of data to be processed. Back Propagation for the layered network: with quaternion neurons is also formulated. The simulation results show that the presented model has the ability in learning affine transformation of 3D figures. while conventional neural network can hardly acquire.