Measure, Topology, and Fractal Geometry

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Learning Theory for Distribution Regression (2014, background): “17 Probably one of the most well-known set metrics is the Hausdorff metric (Edgar, 1995), which is defined for non-empty compact sets of metric spaces, specifically for sets containing finitely many points.”
Infinite Iterated Function Systems (2006, background): “Several books on this topic are available [3, 7, 5, 18, 19] which have become popular even among non-mathematicians.”
Centered densities and fractal measures (2007, unknown): “References: [2, 26, 20, 29, 15, 16, 21, 8].”
Multi-instance multi-label learning (2008, methodology): “unlabeled multi-instance bag instead of a single instance, Hausdorff distance [26] is employed to measure the distance.”
Sampling Theorems for Signals From the Union of Finite-Dimensional Linear Subspaces (2009, methodology): “Dimension here generally refers to the (Lebesgue) covering dimension as deﬁned in for example [24, p. 96].”