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图上福克-普朗克扩散的概率松弛标记

Probabilistic Relaxation Labeling by Fokker-Planck Diffusion on a Graph
课程网址: http://videolectures.net/gbr07_hancock_prl/  
主讲教师: Edwin Hancock
开课单位: 约克大学
开课时间: 2007-07-11
课程语种: 英语
中文简介:
在本文中,我们使用图上的扩散过程理论开发了一种新的概率松弛标记公式,用于数据分类任务。我们进程的状态空间作为支持图的节点,表示潜在的对象标签分配。支持图的边缘权重编码数据邻近度和标签一致性信息。扩散过程的状态向量表示对象标签概率。状态向量根据Fokker Planck方程随时间演化。我们展示了如何使用拉普拉斯矩阵的频谱为加权支持图估计解状态向量。各种数据聚类任务的实验表明了我们新算法的有效性。
课程简介: In this paper we develop a new formulation of probabilistic relaxation labeling for the task of data classification using the theory of diffusion processes on graphs. The state space of our process as the nodes of a support graph which represent potential object-label assignments. The edge-weights of the support graph encode data-proximity and label consistency information. The state-vector of the diffusion process represents the object-label probabilities. The state vector evolves with time according to the Fokker-Planck equation.We show how the solution state vector can be estimated using the spectrum of the Laplacian matrix for the weighted support graph. Experiments on various data clustering tasks show effectiveness of our new algorithm.
关 键 词: 扩散过程; 概率松弛; 状态空间
课程来源: 视频讲座网
最后编审: 2019-04-14:cwx
阅读次数: 90