Developing methods for identifying the inflection point of a convex/concave curve

Abstract

We are introducing two methods for revealing the true inflection point of data that contains or not error. The starting point is a set of geometrical properties that follow the existence of an inflection point p for a smooth function. These properties connect the concept of convexity/concavity before and after p respectively with three chords defined properly. Finally a set of experiments is presented for the class of sigmoid curves and for the third order polynomials.

arXiv comment10 pages, 6 figures; 29 pages, 10 figures, 20 tables, new layout, new definitions in section 1, graphical explanation of ESE & EDE methods, improved bibliography

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