Eric Languenou

Hypertubes and reduction operators in constraint solving

The thesis of M. Christie (co-supervised with F. Benhamou) defended in 2003 was the occasion for a theoretical deepening on interval techniques.

In 2014, the need for projection from multi-dimensional spaces toward 2D or 3D appears. From the 12 audio indicators provided by Echonest (now within spotify) to 2 dimensions or else 1 dimension. We had already used PCA (principal Component Analysis) but Self Organizing Map (SOM) and their algorithms were fascinating.

DUKe, my research team, is part of LS2N which is mostly located in Nantes, France.