A spline is a unique kind of interpolation. It is, in essence, a kind of polynomial piecewise function, where a polynomial is drawn between two points for a group of points. Unlike regression, which uses a single function, spline interpolation is a system that avoids overfitting due to its complex nature.
How does it create a smooth graph? Well, two polynomials who share a common point must meet a myriad of requirements, one important one being that the derivatives of the two at that point must match. As it has been explained to me, a derivative is the instantaneous speed of a point on a curve. Since this a fundamental calculus principle, I am not currently equipped to calculate a derivative, something I hope to rectify.
In order to create this project, I need to expand my mathematical knowledge to encompass the realms of both Precalculus and basic Calculus. Since I am set up to take Precalculus next year, I will need to make significant headway during the summer. This will most likely consist of practicing with Khan Academy and worksheets I can find online.
Furthermore, I need to reach out to the mentors on my Robotics team for advice and teaching on this area. They can add on to and remove from my project and make it the best it can be. I also will probably contract my best friend Logan O’Neal from Robotics to work with me, as well as Jackson Moody.
This project will be a massive undertaking, one unlike anything I have done in my life before. I need to dedicate myself to this and work as efficently as possible. I am writing this to keep myself accountable, and I hope that those around me can keep myself accountable as well.
Hello! I was born in Knoxville, TN and currently attend the L&N STEM Academy. I have interests in things varying from digital design to programming. I work with the L&N STEMpunks Robotics team to model and program robots.