1. Modeling Jazz Artist Similarities Mathematically By Andres Calderon Jaramillo Mentor – Larry Lucas, Ph.D. University of Central Oklahoma This project is based on work supported by a grant from the Office of Research & Grants, University of Central Oklahoma

2. System ? Motivation Influenced Melody Influencer Melodies Inputs Similarity Measurement Output

3. Background Bayesian reasoning: ▫Surface. ▫Structure. Markov chains. Logistic regression.

4. System ? Proposed Model Influenced Melody Influencer Melodies Inputs Similarity Measurement Output

5. System Influencer Melodies Influenced Melody Duration Chain Duration Chain Pitch Chain Pitch Chain Phrase Length Chain Phrase Length Chain Markov Chain Generator Similarity Measurement Inputs Output Proposed Model

6. Pennies From Heaven Capturing the “Substance” Generated Melody Order = 1 Generated Melody Order = 1 Generated Melody Order = 2 Generated Melody Order = 2 Generated Melody Order = 3 Generated Melody Order = 3

7. System Influencer Melodies Influenced Melody Duration Chain Duration Chain Pitch Chain Pitch Chain Phrase Length Chain Phrase Length Chain Markov Chain Generator Probability Estimator Probability Estimator Similarity Measurement Inputs Output Proposed Model

8. Influencer transition probabilities States in influenced melody Probability Estimator Probability that influencer artist generates the influenced artist’s melody.

9. System Influencer Melodies Influenced Melody Duration Chain Duration Chain Pitch Chain Pitch Chain Phrase Length Chain Phrase Length Chain Markov Chain Generator Probability Estimator Probability Estimator Training Phase Training Phase Similarity Measurement Logistic Regression Inputs Output Proposed Model

10. Predictors Logistic Regression Use output from the probability estimator to “classify” the influenced artist’s melody. Training is needed. Picture from http://en.wikipedia.org/wiki/File:Logistic-curve.svg

11. Limitations Implementation currently underway. Limited information in melodies. Small numbers in probability estimator. Some subjectivity.

12. ? ?