Approximate Self-Similarity in Models of Geological Folding

Approximate Self-Similarity in Models of Geological Folding

We propose a model for the folding of rock under the compression of tectonic plates. This models an elastic rock layer imbedded in a viscous foundation by a fourth-order parabolic equation with a nonlinear constraint. The large-time behaviour of solutions of this problem is examined and found to be of approximately self-similar form.

Approximate Protein Folding in

Similarity in Approximate Reasoning

This paper presents an approach to similarity based approximate reasoning that elucidates the connection between similarity and existing approaches to inference in approximate reasoning methodology. A set of axioms is proposed to compute a reasonable measure of similarity between two fuzzy sets. Such a measure of similarity is then used at different stages to derive a conclusion in approximate ...

Algorithms for Determining and Labelling Approximate Hierarchical Self-Similarity

We describe an algorithm for finding approximate sequence similarity at all scales of interest, being explicit about our modelling assumptions and the parameters of the algorithm. We further present an algorithm for producing section labels based on the sequence similarity, and compare these labels with some expert-provided ground truth for a particular set of recordings.

Self-similarity, Fractal Models and Spline Approximation

Invariance is an attractive principle for specifying image processing algorithms. In this presentation, we concentrate on self-similarity—more precisely, shift, scale and rotation invariance—and identify the corresponding class of operators in d dimensions. For d = 1, there is no rotation and the scale-invariant differential operators are the fractional derivatives: ∂ γ τ ←→ (− jω) γ 2−τ( jω) γ...