Trained to extract actionable details from huge volumes of high-dimensional facts, engineers and scientists frequently have difficulty separating significant low-dimensional buildings hidden of their high-dimensional observations. Manifold studying, a groundbreaking procedure designed to take on those problems with dimensionality aid, reveals common program in laptop studying, neural networks, trend reputation, photo processing, and desktop imaginative and prescient.
Filling a void within the literature, Manifold studying concept and Applications accommodates cutting-edge concepts in manifold studying with an exceptional theoretical and useful remedy of the topic. accomplished in its insurance, this pioneering paintings explores this novel modality from set of rules construction to winning implementation—offering examples of purposes in clinical, biometrics, multimedia, and desktop imaginative and prescient. Emphasizing implementation, it highlights a few 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 booklet contains 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 subject matters contributed by means of specialist pros and researchers from various fields. eventually, the e-book discusses particular algorithms and methodologies utilizing case reports to use manifold studying for real-world difficulties.