Mathematical modeling: school of fish
I present a three-rule model for collective behaviour. Computational experiments show how he three rules can simulate realistic movement in a simulated school of fish.
Videos
Convolution, Part 1: filters, signals and boiling water
This video starts my lecture series on the mathematical concept of convolution. The lecture is part of my course “Inverse Problems 1: Convolution and Deconvolution” that I currently teach at University of Helsinki, Finland. I am a professor of Industrial Mathematics at UH.
Magic of artificial intelligence 1: Build electric brains using elementary school mathematics
Can a computer learn to distinguish between summer and winter? Of course. I will describe in detail how artificial intelligence can be taught to perceive temperatures.
Multiplication table for 4, with weights
You can train multiplication tables with kettlebells. It’s fun!
What is tomography?
Tomography aims to reveal the internal structure of a patient based on X-ray images taken from different directions. The resulting slice image is formed with a mathematical algorithm.
Introduction to inversion 1: the instability of predicting the past
This video is the first in the series “Introduction to inversion”, in which I will reveal the secrets of the study of inversion problems.
Mathematical modelling: School of fish
I demonstrate a basic three-rule model for flocking behaviour in a school of fish. You can find the Matlab codes here.
Wonders of Mathematics: Matrices
Matrix theory is a beautiful and useful area of mathematics. It is used in the solution of most engineering problems.