Titlebook: Generalized Principal Component Analysis; René Vidal,Yi Ma,S.S. Sastry Textbook 2016 Springer-Verlag New York 2016 Principal component ana

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Statistical Methodsnd geometry of multiple subspaces, which leads to simple and elegant subspace clustering algorithms. However, while these methods can handle some noise in the data, they do not make explicit assumptions about the distribution of the noise or the data inside the subspaces. Therefore, the estimated su

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Spectral Methodsption that the data are not corrupted, we saw in Chapter 5 that algebraic-geometric methods are able to solve the subspace clustering problem in full generality, allowing for an arbitrary union of different subspaces of any dimensions and in any orientations, as long as sufficiently many data points

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Sparse and Low-Rank Methodsl methods for defining a subspace clustering affinity, and have noticed that we seem to be facing an important dilemma. On the one hand, local methods compute an affinity that depends only on the data points in a local neighborhood of each data point. Local methods can be rather efficient and somewh

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Hybrid System Identificationchanges of dynamics. For instance, the continuous trajectory of a bouncing ball results from alternating between free fall and elastic contact with the ground. However, hybrid systems can also be used to describe a complex process or time series that does not itself exhibit discontinuous behaviors,

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0939-6047 endices which survey basic concepts and principles from statistics, optimization, and algebraic-geometry used in this book..René.?Vidal.?is a Professor of Biomedical Engineering and Director of the Vision Dynam978-1-4939-7912-7978-0-387-87811-9Series ISSN 0939-6047 Series E-ISSN 2196-9973

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Sparse and Low-Rank Methodseoretical analysis that guarantees the correctness of clustering. Therefore, a natural question that arises is whether we can construct a subspace clustering affinity that utilizes global geometric relationships among all the data points, is computationally tractable when the dimension and number of