On the Surprising Behavior of Distance Metrics in High Dimensional ...
Most dimensionality reduction methods come with an appealing geometric intuition: Data is distributed along a low-dimensional manifold lying in the much higher- ...
Higher-dimensional Orthogonal Range Reporting and Rectangle ...We will use the notation DG(p,q) to indicate the geodesic distance between points p and q where the underlying manifold is understood from the context, and kp? ... Computational Geometry in High-Dimensional SpacesTD learning provides an iterative pro- cess to update an estimate of the value function vµ(s) with respect to a given policy µ based on temporally successive ... Determining embedding dimension for phase-space reconstruction ...Abstract A space-filling curve is a way of mapping the discrete multi-dimensional space into the one-dimensional space.
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