0


流形去噪的流形模糊均值漂移算法

Manifold Blurring Mean Shift Algorithms for Manifold Denoising
课程网址: http://videolectures.net/cvpr2010_carreira_perpinan_mbms/  
主讲教师: Miguel Á. Carreira-Perpiñán
开课单位: 加利福尼亚大学
开课时间: 2010-07-19
课程语种: 英语
中文简介:
我们提出了一个新的算法系列,用于去噪数据假定位于低维流形上。算法基于模糊均值漂移更新,其将每个数据点移向其邻居,但是将运动约束为与流形正交。所得到的算法是非参数的,易于实现并且在保持歧管的曲率和限制收缩的同时非常有效地去除噪声。它们非常适用于极端异常值和沿歧管的密度变化。我们将它们用作减少维度的预处理;并且对于MNIST数字的最近邻分类,与原始数据相比具有一致的改进,高达36%。
课程简介: We propose a new family of algorithms for denoising data assumed to lie on a low-dimensional manifold. The algorithms are based on the blurring mean-shift update, which moves each data point towards its neighbors, but constrain the motion to be orthogonal to the manifold. The resulting algorithms are nonparametric, simple to implement and very effective at removing noise while preserving the curvature of the manifold and limiting shrinkage. They deal well with extreme outliers and with variations of density along the manifold. We apply them as preprocessing for dimensionality reduction; and for nearest-neighbor classification of MNIST digits, with consistent improvements up to 36% over the original data.
关 键 词: 模糊均值; 去噪数据; 算法
课程来源: 视频讲座网
最后编审: 2019-03-12:lxf
阅读次数: 44