Where to study ML in Europe?

There are many world-class researchers in ML in Europe. Which subarea of ML are you interested in? I suggest you search through the accepted papers list of recent JMLR, NIPS, and ICML and see if, for any paper that catches your eye, the authors are in europe.

Edinburgh has a great MSc program, and I would also recommend it for a PhD.

I guess that for a MSc is ok pretty much in any place, for a PhD I would recomend Cambridge or Imperial College of London (they each have a number of great laboratories)

In Germany, I can recommend University of Freiburg's CS department. Computer science teaching is a bit more theoretical there than at other places, which is a good thing. Almost all groups lean towards ML/pattern recognition, AI, robotics, and logic, so you have plenty of interesting classes to pick from.

Most advanced teaching is in English, and they offer a research-oriented MSc program.

PS: I am biased, I studied there ...

There is a good ML group at TU Berlin, which offers many classes in this area, so maybe doing a MSc in CS and picking their courses may be a good idea.

Of course, there are many more good places in Europe, some were already mentioned here.

I can recommend Jacobs University Bremen the smart systems program. It's one of the best in Germany, I've seen some rankings. I've taken a couple of courses with Professor Herbert Jaeger and can tell you he is really good, so you can learn quite a lot there.

You should also consider ETH Zurich, they have strong groups in both machine learning and vision (and ETHZ is a very respected institution worldwide).

I would choose Ecole Polytechnique Fédérale de Lausanne, more specifically Courtine Lab for neuro-rehabilitation. But there are also other great projects on machine learning+neuroscience at EPFL. Another option, for more applied sciences would be the universities involved on the Asterics project, such as University of Applied Sciences Technikum Wien.

Note that my suggestions are on machine learning for some sort of rehabilitation. You should do something like this, as Alexandre Passos also said. Find some project that inspires you and learning machine learning should just flows.

If you provide a preferred country we may provide more specific suggestions.

Well, it's worth noticing that Vadim seems to have finally chosen Maths, Vision and Artificial Intelligence master at ENS Cachan. I would have recommended this as well, as a current student I saw pretty cool stuff (for what it's worth as I can actually not compare with the other universities mentioned above). The content includes lots of machine learning courses like kernel theory, probabilistic graphical models, learning theory, reinforcement learning, game theory, compressed sensing and applications to computer vision.

Helsinki is cool ;)