Determining Model-independent H 0 and Consistency Tests

A model - independent technique for determining theembedding

The method of lag-embedding, common in the analysis of signals in the context of nonlinear dynamics, requires the selection of an embedding dimension. This embedding dimension is analogous to the model order in a linear prediction model, but the order of a linear prediction model is of little use in characterizing chaotic signals or in indicating an appropriate embedding dimension for nonlinear...

Model selection, large deviations and consistency of data-driven tests

We consider three general classes of data-driven statistical tests. Neyman’s smooth tests, data-driven score tests and data-driven score tests for statistical inverse problems serve as important special examples for the classes of tests under consideration. Our tests are additionally incorporated with model selection rules. The rules are based on the penalization idea. Most of the optimal penal...

Model-independent tests of cosmic gravity.

Gravitation governs the expansion and fate of the universe, and the growth of large-scale structure within it, but has not been tested in detail on these cosmic scales. The observed acceleration of the expansion may provide signs of gravitational laws beyond general relativity (GR). Since the form of any such extension is not clear, from either theory or data, we adopt a model-independent appro...

Determining Consistency of Topological RelationsBRANDON

This paper examines the problem of testing consistency of sets of topological relations which are instances of the RCC-8 relation set (Randell, Cui and Cohn 1992). Representations of these relations as constraints within a number of logical frameworks are considered. It is shown that, if the arguments of the relations are interpreted as non-empty open sets within an arbitrary topological space,...

Model Based vs. Model Independent Tests for Cross-Correlation