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Given a network of N nodes with the i-th sensor's observation xi isin RM, the matrix containing all Euclidean distances among measurements ||xi - xj || foralli, j isin {1,..., N} is a useful description of the data. While reconstructing a distance matrix has wide range of applications, we are particularly interested in the manifold reconstruction and its dimensionality reduction for data fusion and...
We propose a generic routing table design principle for scalable routing on networks with bounded geometric growth. Given an inaccurate distance oracle that estimates the graph distance of any two nodes with constant factor upper and lower bounds, we augment it by storing the routing paths of pairs of nodes, selected in a spatial distribution, and show that the routing table enables 1 + epsiv stretch...
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