abarachant

Growing up in south of france, we had a few of theses tree ("Néflier") scattered around the village. I really loved the fruits as a kid, it was a true delicacy. We had to wait until the first freeze in december, and pick them off the ground after bletting. they are really sweet, with a touch of alcool, and one of the few fruit you can find in the wild during the winter.

Now the title is a little bit misleading, they fell out of favor, and not widely available commercially, but definetly not forgotten.

Information geometry is a very interesting research topic. In essence it allows to define a metric (and therefore a measure of distance) between probability distributions.

As a results, it has a lot of practical application in machine learning and has been use successfully for classification in Neuroscience, Radar signal processing and computer vision.

we can also note that Information Geometry can be seen as a sub-field of Riemannian Geometry, with some equivalence between metric. For example, the cannonical metric for symetric and positive definite (SPD) matrices in Riemannian geometry is actually equivalent to the metric for multivariate normal distribution obtained with Information geometry.

For some application, IG is very efficient. it has been used for multivariate time-series for classification of EEG signal and was at the center of the winning solution of 3 kaggle challenges : https://github.com/alexandrebarachant