Appendix a A.1 Spectral Decomposition and Euclidean Distances in Diffusion Space

    Abstract

    Here we describe some of the technical details for how a symmetric operator A, the stochastic differential operator A and its adjoint (the Markov operator) A * are related, and how these relations lead to different normalization schemes for the corresponding eigenvectors. (For ease of notation, we have omitted the subindex ε, since we here consider a fixed… (More)

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