Manifold Learning Theory and Applications by Yun Fu, Yunqian Ma. Trained to extract actionable information from large volumes of high-dimensional data, engineers and scientists often have trouble isolating meaningful
PDF 引用 收藏 共1个版本 开学季特惠,9月3日-11月30日,专业版用户每周AI豆3倍膨胀,快来领取吧! 摘要原文 A Stiefel manifold of the compact type is often encountered in many fields of engineering including, signal and image processing, machine learning, numerical optimization and others. The ...
本文是麻省理工大学的Statistical Learning Theory and Applications这门课的PPT的上半部分总结。 https://www.mit.edu/~9.520/spring09/Classes/class08_manifold.pdfwww.mit.edu/~9.520/spring09/Classes/class08_manifold.pdf 由于现实生活中,标注数据的稀缺,时常需要使用未标注数据作为补充。而事实上,人类学习...
本文是麻省理工大学的Statistical Learning Theory and Applications这门课的PPT的下半部分总结。没有看过上半部分的,传送门: 【统计学习】Manifold Regularization (1)57 赞同 · 4 评论文章 前情回顾 上回说到,我们现实生活中很多数据都是来自于高维的,高维特征非常不好处理,用传统的KNN算法会失去算法的“局部性...
In Manifold Learning: Theory and Applications 95–120 (CRC, 2011). Belkin, M. & Niyogi, P. Laplacian eigenmaps for dimensionality reduction and data representation. Neural Comput. 15, 1373–1396 (2003). Article Google Scholar Stiefel, E. Richtungsfelder und Fernparallelismus in n-dimensional...
In this paper we take a step towards closing the gap between theory and practice for a class of Laplacian-based manifold methods. These methods utilize the graph Laplacian associated to a data set for a variety of applications in semi-supervised learning, clustering, data representation. We show...
identify the number of conserved quantities and extract their values. Using tools from optimal transport theory and manifold learning, our proposed method provides a direct geometric approach to identifying conservation laws that is both robust and interpretable without requiring an explicit model of the...
We apply a known projection based approach (into approximations of tangent planes) from the studies of surface reconstruction and computer graphics, and we extend this with the application of techniques from topological graph theory for the purpose of topological identification of the sampled surface. ...
In: Computer Graphics and Applications, 1999. Proceedings. Seventh Pacific Conference on, pp. 198–207. IEEE (1999) Ruiz, O., Cadavid, C., Granados, M., Pena, S., Vásquez, E.: 2d shape similarity as a complement for voronoi-delone methods in shape reconstruction. Comput. Graph. 29(...
Image reconstruction is essential for imaging applications across the physical and life sciences, including optical and radar systems, magnetic resonance imaging, X-ray computed tomography, positron emission tomography, ultrasound imaging and radio astronomy1,2,3. During image acquisition, the sensor encod...