Data Mining Practical Machine Learning Tools and Techniques

Measuring the Strangeness of Strange Attractors

Acts in what Hutchinson (1965) has called the 'ecological theatre' are played out on various scales of space and time. To understand the drama, we must view it on the appropriate scale. Plant ecologists long ago recognized the importance of sampling scale in their descriptions of the dispersion or distribution of species (e.g. Greig-Smith, 1952). However, many ecologists have behaved as if patterns and the processes that produce them are insensitive to differences in scale and have designed their studies with little explicit attention to scale. Kareiva & Andersen (1988) surveyed nearly 100 field experiments in community ecology and found that half were conducted on plots no larger than 1 m in diameter, despite considerable differences in the sizes and types of organisms studied. Investigators addressing the same questions have often conducted their studies on quite different scales. Not surprisingly, their findings have not always matched, and arguments have ensued. The disagreements among conservation biologists over the optimal design of nature reserves (see Simberloff, 1988) are at least partly due to a failure to appreciate scaling differences among organisms. Controversies about the role of competition in structuring animal communities (Schoener, 1982; Wiens, 1983, 1989) or about the degree of coevolution in communities (Connell, 1980; Roughgarden, 1983) may reflect the

https://www.jstor.org/stable/info/2389612

Spatial Scaling in Ecology

Thirty-seven programs that summarize data with histograms and other graphics, calculate measures of spatial continuity, provide smooth least-squares-type maps, and perform stochastic spatial simulation.

GSLIB: Geostatistical Software Library and User's Guide

https://www.thelancet.com/pdfs/journals/lancet/PIIS0140-6736(06)68880-6.pdf

Mild cognitive impairment

Using Newton’s method to compute solu-tions of a discrete boundary value problem amounts to iterating a certain map in HRN, and solutions appear as attractors of the dynamical system thus defined. This note is an experimental study of the global properties of the basins of attraction for these attractors. Particular interest is in a comparison with fundamental properties of Julia sets for rational functions in the complex plane.

Global Aspects of Newton’s Method for Nonlinear Boundary Value Problems

Research of visual perception of luminance differences is an important basis for understanding the perception of complex patterns. We introduce a new approach for determining the contrast sensitivity function (CSF) in front of the complex anatomical structures of mammograms. For this purpose a sinusoidal pattern and digits are used as target items. The approximation to contrast thresholds is done by a psychophysical staircase procedure and is performed for a selection of spatial frequencies.

/pdf/determination-of-contrast-sensitivity-for-mammographic-4u3np8u5m2.pdf

Determination of Contrast Sensitivity for Mammographic Softcopy Reading

In vielen medizinischen Anwendungen ist eine Registrierung verschiedener Bilddatensatze desselben Organs sinnvoll. Haufig geschieht eine solche Registrierung mit Hilfe manuell in den Bilddatensatzen platzierter Landmarken. In dieser Arbeit wird ein Verfahren vorgestellt, mit dem automatisiert sinnvolle Landmarken bestimmt werden konnen. Dazu werden Knoten der zuvor mittels eines Segmentierungsverfahrens extrahierten Gefasbaume mit Hilfe des Assoziationsgraph-Verfahrens einander zugeordnet und die Koordinaten der so zugeordneten Knoten als Landmarken benutzt. Das vorgestellte Verfahren wurde in der MeVisLab Entwicklungsumgebung realisiert und getestet.

Matching von Baumstrukturen

Symmetry-based detection of ductal carcinoma in situ in breast MRI.

The Lefschetz fixed point theorem for multivalued
upper semi-continuous
acyclic maps with multiplicity with respect to (w.r.t.) a given field
$\mathbb F$ of $\mathbb F$-simplicial spaces is proved.

/pdf/lefschetz-fixed-point-theorem-for-acyclic-maps-with-73eif149mo.pdf

Heinz-Otto Peitgen

Papers

Global Aspects of Newton’s Method for Nonlinear Boundary Value Problems

Determination of Contrast Sensitivity for Mammographic Softcopy Reading

Matching von Baumstrukturen

Symmetry-based detection of ductal carcinoma in situ in breast MRI.

Lefschetz fixed point theorem for acyclic maps with multiplicity