Articles with "isometry property" as a keyword



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Restricted Isometry Property of Gaussian Random Projection for Finite Set of Subspaces

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Published in 2018 at "IEEE Transactions on Signal Processing"

DOI: 10.1109/tsp.2017.2778685

Abstract: Dimension reduction plays an essential role when decreasing the complexity of solving large-scale problems. The well-known Johnson–Lindenstrauss (JL) lemma and restricted isometry property (RIP) admit the use of random projection to reduce the dimension while… read more here.

Keywords: restricted isometry; random projection; isometry property; gaussian random ... See more keywords
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Unraveling the Veil of Subspace RIP Through Near-Isometry on Subspaces

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Published in 2020 at "IEEE Transactions on Signal Processing"

DOI: 10.1109/tsp.2020.2984905

Abstract: Dimensionality reduction is a popular approach to tackle high-dimensional data with low-dimensional nature. Subspace Restricted Isometry Property, a newly-proposed concept, has proved to be a useful tool in analyzing the effect of dimensionality reduction algorithms… read more here.

Keywords: isometry property; subspace restricted; near isometry; restricted isometry ... See more keywords
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Sparse distributed sensor placement via statistical restricted isometry property

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Published in 2017 at "Journal of the Acoustical Society of America"

DOI: 10.1121/1.4988559

Abstract: Perfect sensor coverage of large ocean volumes is an intractable problem for small N systems. Instead, this paper presents optimal placement of relatively few sensors in order to achieve coherent array processing. The sensor placement… read more here.

Keywords: restricted isometry; statistical restricted; sensor placement; placement ... See more keywords