Comparing Measures of Sparsity

Sparsity Regularization for Radon Measures

In this paper we establish a regularization method for Radon measures. Motivated from sparse L regularization we introduce a new regularization functional for the Radon norm, whose properties are then analyzed. We, furthermore, show well-posedness of Radon measure based sparsity regularization. Finally we present numerical examples along with the underlying algorithmic and implementation detail...

Sparsity-Based Criteria for Entropy Measures

The complexity of a signal defines the compressibility of its coefficients under appropriate basis. This relation complexity-compressibility suggests a connection between the functions used to measure both of the signal’s properties. A measure of entropy quantifies the degree of complexity of a signal. In a analogous way, a measure of (non-strict) sparsity quantifies the degree of compressibili...

Comparing Resemblance Measures∗

In the paper some types of equivalences over resemblance measures and some basic results about them are given. Based on induced partial orderings on the set of unordered pairs of units a dissimilarity between two resemblance measures over finite set of units can be defined. As an example, using this dissimilarity standard association coefficients between binary vectors are compared both theoret...

Comparing Brand Personality Measures:

Comparing imperfect measures of exposure.

With the implication of dietary factors in the origin of many common diseases, there has been renewed interest in methods of dietary enquiry suitable for epidemiologic research (1-14). Validation of both new and old approaches proceeds, but under severe constraints. In the development of questionnaires, for example, the need may arise to compare two alternative, simple methods each to a referen...