Reproducing kernel Hilbert spaces in learning theory.

机译：在学习理论中重现内核希尔伯特空间。

获取原文

获取原文并翻译 | 示例

页面导航

摘要
著录项
相似文献
相关主题

摘要

We analyze the regularized least square algorithm in learning theory with Reproducing Kernel Hilbert Spaces (RKHS). Explicit convergence rates for the regression and binary classification problems are obtained in particular for the polynomial and Gaussian kernels on the n-dimensional sphere and the hypercube. There are two major ingredients in our approach: (i) a law of large numbers for Hilbert space-valued random variables; (ii) Mercer's theorem and the spectrum of the integral operator associated with the given reproducing kernel. Our work also illustrates RKHS as a unifying framework for solving many problems encountered in computational learning theory.

机译：我们用再现核希尔伯特空间（RKHS）分析学习理论中的正则化最小二乘算法。尤其对于n维球面和超立方体上的多项式和高斯核，获得了回归和二进制分类问题的显式收敛速度。我们的方法有两个主要成分：（i）希尔伯特空间值随机变量的大数定律；（ii）美世定理和与给定复制核相关的积分算子的谱。我们的工作还说明RKHS是解决计算学习理论中遇到的许多问题的统一框架。

著录项

作者
Ha Quang, Minh.;
展开▼
作者单位

Brown University.;

展开▼
授予单位 Brown University.;
学科 Mathematics.; Computer Science.
学位 Ph.D.
年度 2006
页码 111 p.
总页数 111
原文格式 PDF
正文语种 eng
中图分类数学;自动化技术、计算机技术;
关键词

相似文献

外文文献
中文文献
专利

1. An efficient multiple kernel learning in reproducing kernel Hilbert spaces (RKHS) [J] . Xu Lixiang, Luo Bin, Tang Yuanyan, International Journal of Wavelets, Multiresolution and Information Processing . 2015,第2期

机译：再现内核希尔伯特空间（RKHS）的高效多内核学习
2. HYPERCYCLICITY OF TRANSLATION OPERATORS IN A REPRODUCING KERNEL HILBERT SPACE OF ENTIRE FUNCTIONS INDUCED BY AN ANALYTIC HILBERT-SPACE-VALUED KERNEL [J] . Garcia A. G., Hernandez-Medina M. A., Portal A. Osaka Journal of Mathematics . 2015,第3期

机译：解析希尔伯特-空值核诱导的整函数的希尔伯特空间中翻译算子的超循环
3. A Unifying Framework in Vector-valued Reproducing Kernel Hilbert Spaces for Manifold Regularization and Co-Regularized Multi-view Learning [J] . H?? Quang Minh, Loris Bazzani, Vittorio Murino Journal of machine learning research . 2016,第25期

机译：矢量值的统一框架，用于歧管正规化和共同正规化的多视图学习
4. Projection Learning Based Kernel Machine Design Using Series of Monotone Increasing Reproducing Kernel Hilbert Spaces [C] . Akira Tanaka, Ichigaku Takigawa, Hideyuki Imai, International Conference on Knowledge-Based Intelligent Information and Engineering Systems(KES 2004) pt.1; 20040920-25; Wellington(NZ) . 2004

机译：基于投影学习的内核机器设计，其使用一系列单调递增的再现希尔伯特空间
5. Penalized likelihood regression in reproducing kernel Hilbert spaces with randomized covariate data. [D] . Ma, Xiwen. 2010

机译：使用随机协变量数据再现内核希尔伯特空间时的惩罚似然回归。
6. High-Order Sequential Simulation via Statistical Learning in Reproducing Kernel Hilbert Space [O] . Lingqing Yao, Roussos Dimitrakopoulos, Michel Gamache -1

机译：通过统计学习在内核Hilbert空间中进行高阶顺序模拟
7. REPRODUCING KERNEL HILBERT SPACE METHOD{REPRESENTATION FOR THE REPRODUCING KERNEL HILBERT SPACE METHOD FOR A NONLINEAR SYSTEM [O] . Esra Karataş Akgül, Ali Akgül, Yasir Khan, 2018

机译：再现内核HILBERT空间方法 {非线性系统再现内核HILBERT空间方法的表示
8. Dimensionality Reduction for Supervised Learning With Reproducing Kernel Hilbert Spaces [R] . Fukumizu, K. , Bach, F. R. , Jordan, M. I. 2003

机译：用再生核Hilbert空间进行监督学习的维数约简

Reproducing kernel Hilbert spaces in learning theory.

摘要

著录项

相似文献

相关主题

期刊订阅