01
Geometric deep learning
A standard neural network starts with no notion of shape or symmetry. We build geometry into the architecture. The organising structure is the tesseract, the four-dimensional cube: 16 corners, 32 edges, 24 faces and 8 cells, each with a defined relationship to the others.
Where that structure helps is the question we work on. We test it. We do not assume it.
02
Recursive self-improvement
A system that improves with experience is familiar. A system that improves its own ability to improve is a harder problem, and it is the centre of our work. We study it in populations of software agents that inherit traits, vary and face selection, the same logic that shapes living genomes.
We treat it as a question of measurement. The test is fixed before the experiment runs.