The coordinated robots from Boston Dynamics (acquired by Google) impress the most, with their ability to react quickly to perturbation and move competently over difficult terrain.
I assume they are not solving inverse kinematics problems continuously, and also assume that much of their progress was made before the deep learning revolution, so maybe they don't even use neural networks either.
So are they using any reinforcement learning? I have no idea so would appreciate any quick summaries or pointers to relevant information.
What other companies are working in robotics at the same level as Boston Dynamics?
Approaches to robot perception, path planning (e.g. A*), and environmental mapping (e.g. SLAM) are also very interesting, but not the topics I'm interested in for this question.