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非等距流形学习：分析与算法Non-Isometric Manifold Learning: Analysis and an Algorithm |
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| 课程网址: | http://videolectures.net/icml07_dollar_niml/ |
| 主讲教师: | Piotr Dollár |
| 开课单位: | 加利福尼亚大学 |
| 开课时间: | 2007-06-23 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | In this work we take a novel view of nonlinear manifold learning. Usually, manifold learning is formulated in terms of finding an embedding or "unrolling" of a manifold into a lower dimensional space. Instead, we treat it as the problem of learning a representation of a nonlinear, possibly non-isometric manifold that allows for the manipulation of novel points. Central to this view of manifold learning is the concept of generalization beyond the training data. Drawing on concepts from supervised learning, we establish a framework for studying the problems of model assessment, model complexity, and model selection for manifold learning. We present an extension of a recent algorithm, Locally Smooth Manifold Learning (L S M L), and show it has good generalization properties. L S M L learns a representation of a manifold or family of related manifolds and can be used for computing geodesic distances, finding the projection of a point onto a manifold, recovering a manifold from points corrupted by noise, generating novel points on a manifold, and more. |
| 关 键 词: | 非线性流形学习; 非等距流形; 监督学习 |
| 课程来源: | 视频讲座网 |
| 最后编审: | 2019-04-17：lxf |
| 阅读次数: | 84 |