Dissertation > Excellent graduate degree dissertation topics show

Research on Basic Methods of Construction of Feature Space Related to Indefinite Kernels

Author: WangHengYou
Tutor: ChenDeGang
School: North China Electric Power University (Beijing)
Course: Applied Mathematics
Keywords: Support Vector Machine Kernel Indefinite Kernel Krein Space Mercer Theorem Margin Optimal Hyperplane Pseudo-Euclidean Space
CLC: O177
Type: Master's thesis
Year: 2009
Downloads: 25
Quote: 0
Read: Download Dissertation

Abstract


The indefinite kernels used in Support vector machine(SVM) are being concerned seriously.However,they are barely to be explained for missing theoretical foundations and geometrical understanding.In order that interpret why indefinite kernels are useful in the classification problem.In this paper,we generalize the Mercer theorem,which the eigenvalues can be negative,and the proof of the theorem is given.We discuss the construction of feature space related to indefinite kernels by two methods,such as,the way of generalization about the Mercer theorem,the method of power series expression.At the same time,we develop the Pseudo-Euclidean space to Krein space,which dimensions is infinite. State the support vector machine in feature space related to indefinite kernel.

Related Dissertations

  1. Research on Automatic Detection Algorithm for Substructure Distress of Highway Pavement Based on SVM,U418.6
  2. Modulation Pattern Recognition and Parameter Estimation for Ground Wave Radiation Sources,TN957.51
  3. Research on Autamatic Music Structrue Analysis,TN912.3
  4. Design and Implementation of Windows Kernel-mode Cryptographic Service Interface,TP309.7
  5. The Research and Implementation of Protein Classification Algorithm on the Basic of String Kernel,TP301.6
  6. Research on Transductive Support Vector Machine and Its Application in Image Retrieval,TP391.41
  7. Fault Diagnosis Method Based on Support Vector Machine,TP18
  8. Process Support Vector Machine and Its Application to Satellite Thermal Equilibrium Temperature Prediction,TP183
  9. Margin of China's securities market stock trading,F832.51
  10. Design and Implementation of Processor TI DSP VC33 Virtual Kernel,TP332
  11. Research of Anomaly Detection Algorithms of Hyperspectral Imagery Based on Kernel Method,TP751
  12. Macadamia drying characteristics and mechanical properties,S664.9
  13. The Supercritical Carbon Dioxide Extraction and Functional Quality Evaluation of Camellia Seed Oil,TS225.16
  14. Molecular Identification of Hardness-related Genes and Analysis of Molecular Mechanism of PINA Null in Bread Wheat,S512.1
  15. Research for Infrared Image Target Identification and Tracking Technology,TP391.41
  16. Study on the Road Condition Monitoring Based on Vehicular 3D Acceleration Sensor,TP274
  17. Copula-EGARCH-Kernel Density Estimation Model and Its Application,O211.3
  18. The Boundedness of Toeplitz-type Integral Operator with Non-smooth Kernels,O177.6
  19. Research of Diagnosing Cucumber Diseases Based on Hyperspectral Imaging,S436.421
  20. Southwestern margin of the Ordos Basin, Late Ordovician outcrop sequence stratigraphy,P618.13
  21. The Research on Intrusion Detection System Based on Machine Learning,TP393.08

CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Functional Analysis
© 2012 www.DissertationTopic.Net  Mobile