منابع مشابه
Diffusion Representations
Diffusion Maps framework is a kernel based method for manifold learning and data analysis that defines diffusion similarities by imposing a Markovian process on the given dataset. Analysis by this process uncovers the intrinsic geometric structures in the data. Recently, it was suggested to replace the standard kernel by a measure-based kernel that incorporates information about the density of ...
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This preprint is made available because the published work cited below had several infelicities due to production error, i.e., awkward layout of equations and font styles. The conversion from the Words document here to IEEE TMI format was a mess. Abstract An analytical framework of error propagation for diffusion tensor imaging (DTI) is presented. Using this framework, any uncertainty of intere...
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Let $G$ be a tamely ramified reductive $p$-adic group. We study distinction of a class of irreducible admissible representations of $G$ by the group of fixed points $H$ of an involution of $G$. The representations correspond to $G$-conjugacy classes of pairs $(T,phi)$, where $T$ is a tamely ramified maximal torus of $G$ and $phi$ is a quasicharacter of $T$ whose restriction t...
متن کاملDiffusion Tensor Representations and Their Applications to DTI Error Propagation
INTRODUCTION The diffusion tensor is a 3x3 positive definite matrix and, therefore, possesses several distinct matrix decompositions, e.g. the Cholesky, and the Eigenvalue decompositions. To date, the Eigenvalue decomposition has been used only in computing tensor-derived quantities [1-4] but not as a parametrization (or equivalently, a representation) in DTI error propagation [5]. Treating a m...
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The Basic Affine Jump Diffusion (BAJD) process is widely used in financial modeling. In this paper, we develop an exact analytical representation for its transition density in terms of a series expansion that is uniformly-absolutely convergent on compacts. Computationally, our formula can be evaluated to high level of accuracy by easily adding new terms which are given explicitly. Furthermore, ...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2018
ISSN: 1063-5203
DOI: 10.1016/j.acha.2016.10.003