WebComplex geodesics. Let Q(X) denote the space of holomorphic quadratic differentials on X ∈ Mg. We have dimQ(X) = 3g −3 for g > 1. A pair (X,q) with q ∈ Q(X), q 6= 0, generates a holomorphic embedding fe: H→ Tg which is an isometry for the Kobayashi metrics on domain and range. Passing to the quotient by the action of the mapping-class ... Weblies on mapping the distributions into a reproducing kernel Hilbert space. Applications of this technique can be found in two-sample tests, which are used for determining whether two …

Hilbert Space Embeddings of Hidden Markov Models

http://php.scripts.psu.edu/users/b/k/bks18/NIPS-11.pdf WebMay 31, 2016 · A Hilbert space embedding of a distribution---in short, a kernel mean embedding---has recently emerged as a powerful tool for machine learning and inference. … iphone se 2nd generation straight talk

Billiards and Teichmu¨ller curves on Hilbert modular surfaces

WebA Hilbert space embedding for probability measures has recently been proposed, with applications including dimensionality reduction, homogeneity testing, and independence … WebMay 16, 2015 · Consider a Hilbert space H which is compactly embedded in a Hilbert space L, with H ∗ being the dual space of H with respect to the inner product (duality pairing) in … WebFeb 19, 2008 · Journal of Topology and Analysis We prove that a metric space does not coarsely embed into a Hilbert space if and only if it satisfies a sequence of Poincare inequalities, which can be formulated in terms of (generalized) expanders. We also give quantitative statements, relative to the compression. orange flags in yard meaning