Data-driven identification of biological systems using multi-scale analysis. [PDF]
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Principal Component Analysis in Space Forms. [PDF]
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Spectral Signal Denoising Algorithm Based On Modified Singular Spectrum Analysis Analysis
2023 International Annual Conference on Complex Systems and Intelligent Science (CSIS-IAC), 2023A new singular spectrum analysis denoising algorithm is proposed to effectively remove photon noise and detector noise in fiber Bragg gratings. This algorithm represents a one-dimensional spectral signal as a trajectory matrix and obtains eigenvalues and
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Eigenvectors and eigenvalues in a random subspace of a tensor product
Inventiones Mathematicae, 2012Given two positive integers n and k and a parameter t ∈ (0, 1), we choose at random a vector subspace Vn ⊂ C k ⊗ C n of dimension N ∼ tnk. We show that the set of k-tuples of singular values of all unit vectors in Vn fills asymptotically (as n tends to ...
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Sharp error bounds for approximate eigenvalues and singular values from subspace methods
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Computation of Eigenvectors and Eigenvalues and the Singular Value Decomposition
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Uniform Approximation of Eigenproblems of a Large-Scale Parameter-Dependent Hermitian Matrix
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