图 书 馆
低阶判别分析的流体动力学模型Fluid dynamics models for low rank discriminant analysis |
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| 课程网址: | http://videolectures.net/aistats2010_noh_fdmfl/ |
| 主讲教师: | Yung-Kyun Noh |
| 开课单位: | 首尔国立大学 |
| 开课时间: | 信息不详。欢迎您在右侧留言补充。 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | We consider the problem of reducing the dimensionality of labeled data for classification. Unfortunately, the optimal approach of finding the low-dimensional projection with minimal Bayes classification error is intractable, so most standard algorithms optimize a tractable heuristic function in the projected subspace. Here, we investigate a physics-based model where we consider the labeled data as interacting fluid distributions. We derive the forces arising in the fluids from information theoretic potential functions, and consider appropriate low rank constraints on the resulting acceleration and velocity flow fields. We show how to apply the Gauss principle of least constraint in fluids to obtain tractable solutions for low rank projections. Our fluid dynamic approach is demonstrated to better approximate the Bayes optimal solution on Gaussian systems, including infinite dimensional Gaussian processes. |
| 关 键 词: | 低阶判别分析; 流体动力学模型 |
| 课程来源: | 视频讲座网 |
| 最后编审: | 2019-10-30：cwx |
| 阅读次数: | 44 |