Papers

Mathematics

    Periodicity and Self-Overlapping Strings  - post date 2013-02-12 13:24:43.822601

         I show that the Minimal Period is sufficient to define the Periodic and Self-Overlapping Properties of a String. Revised from original submission in Spring '12 to show how Knuth-Morris-Pratt preprocessing supplies the principle algorithm to apply our definition to finding the self-overlapping properties of a string in O(N) time.

    Patterns Over Strings  - post date 2020-07-05 17:47:48.472918

         A continuation of pattern research over strings, also related to Pattern Derivatives. Original Research conducted and Paper written in Winter and Spring of 2019

Pattern Derivatives

    Pattern Derivatives  - post date 2012-03-02

         Schroeder, C.S. and Di Pierro, M. (2011) ‘Pattern derivatives’, Int. J. Financial Markets and Derivatives, Vol. 2, No. 4, pp.249–257.

    Pattern Derivatives II  - post date 2013-04-11 23:25:19.070991

         An expansion of ideas on Pattern Derivatives. Originally written in the winter of '12-'13. Co-authored with Massimo.

Reinforcement Learning

    An Introduction to Reinforcement Learning  - post date 2011-06-12 23:30:42.229997

         An Advanced Introduction to Reinforcement Learning Originally Written in Fall of 2009. Thank you to Noriko Tomuro for the wise advice to learn the literature before trying to make contributions. The paper has been since revised and reformatted.

Theory of Full Consequence

    Human Games  - post date 2013-07-18 00:49:15.213178

         Version from August 2011. Originally written and floated in 2010. This provides the motivation and rational for a heirarchical Game Theory. I thank David Danks for comments on an earlier draft.