منابع مشابه
Time Coupled Diffusion Maps
We consider a collection of n points in R measured at m times, which are encoded in an n × d × m data tensor. Our objective is to define a single embedding of the n points into Euclidean space which summarizes the geometry as described by the data tensor. In the case of a fixed data set, diffusion maps (and related graph Laplacian methods) define such an embedding via the eigenfunctions of a di...
متن کاملMultivariate time-series analysis and diffusion maps
Dimensionality reduction in multivariate time series has broad applications, ranging from financial-data analysis to biomedical research. However, high levels of ambient noise and various interferences result in nonstationary signals, which may lead to inefficient performance of conventional methods. In this paper, we propose a nonlinear dimensionality reduction framework using diffusion maps o...
متن کاملGenerating Noble-Gas Diffusion Maps at Very Short Time Scales
observed, and D ∆ is the (time-dependent) diffusion coefficient measured at this diffusion time. Short-time-scale measurements of hyperpolarized He diffusion in the human lung typically use diffusion times between 1 and 2 ms. At this time scale, the He diffusion coefficient in normal lung airspaces is approximately 0.2 cm/s. Thus these measurements probe a length scale of approximately 350-500 ...
متن کاملCoupled Analytic Maps
We consider a lattice of weakly coupled expanding circle maps. We construct, via a cluster expansion of the Perron-Frobenius operator, an invariant measure for these innnite dimensional dynamical systems which exhibits space-time-chaos.
متن کاملCoupled maps on trees.
Abstract We study coupled maps on a Cayley tree, with local (nearest-neighbor) interactions, and with a variety of boundary conditions. The homogeneous state (where every lattice site has the same value) and the node-synchronized state (where sites of a given generation have the same value) are both shown to occur for particular values of the parameters and coupling constants. We study the stab...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2018
ISSN: 1063-5203
DOI: 10.1016/j.acha.2017.11.003