By Yunqian Ma, Yun Fu
Trained to extract actionable info from huge volumes of high-dimensional facts, engineers and scientists frequently have difficulty keeping apart significant low-dimensional buildings hidden of their high-dimensional observations. Manifold studying, a groundbreaking procedure designed to take on those problems with dimensionality relief, unearths frequent program in laptop studying, neural networks, trend acceptance, photograph processing, and laptop imaginative and prescient.
Filling a void within the literature, Manifold studying conception and Applications comprises state of the art suggestions in manifold studying with an excellent theoretical and functional remedy of the topic. complete in its insurance, this pioneering paintings explores this novel modality from set of rules production to winning implementation―offering examples of purposes in scientific, biometrics, multimedia, and machine imaginative and prescient. Emphasizing implementation, it highlights a number of the diversifications of manifold studying in together with manifold optimization, huge scale manifold studying, semidefinite programming for embedding, manifold versions for sign acquisition, compression and processing, and multi scale manifold.
Beginning with an advent to manifold studying theories and purposes, the ebook comprises discussions at the relevance to nonlinear dimensionality aid, clustering, graph-based subspace studying, spectral studying and embedding, extensions, and multi-manifold modeling. It synergizes cross-domain wisdom for interdisciplinary directions, bargains a wealthy set of specialised issues contributed by way of professional execs and researchers from numerous fields. eventually, the ebook discusses particular algorithms and methodologies utilizing case reviews to use manifold studying for real-world difficulties.