Dimensionality reduction: videos in regression algorithms

Two months ago, my last post was on regression. I’d like to start this new year with some videos on how my algorithms behave.

The first video shows the manifold being regressed with a color mapping. Each color symbolizes a model in the piecewise linear function.

Here is the evolution of the mapping with the first algorithm. Only a part of the manifold is regressed each time, and there is no way of tuning the result.

The following video was made with the second algorithm. Each time, the whole manifold is regressed and the model enhanced. I didn’t put the whole optimization, at the end nothing could be seen on such a video.
After the first iteration, the original model is split in two other models, and this happens again after the second iteration.

I’ll make other videos on the other parts of my work.

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