4 papers
Deep Learning as the Disciplined Construction of Tame Objects
Gilles Bareilles, Allen Gehret, Johannes Aspman +2
One can see deep-learning models as compositions of functions within the so-called tame geometry. In this expository note, we give an overview of some topics at the interface of ta…
Penalised and constrained geodesics in geometric control theory
Rufus Lawrence, Aleš Wodecki, Johannes Aspman +1
In many problems in optimal control, one seeks to minimise an objective function subject to constraints on the velocity of the system. Imposing these constraints directly -- the ``…
Galois Covers of Calabi-Yau Quivers and BPS State Counting
Johannes Aspman, Cyril Closset, Elias Furrer +1
BPS quivers are central to our understanding of BPS states in 4d supersymmetric field theories and of D-branes at Calabi-Yau threefold singularities. The two subjec…
Geometric quantum control and the random Schrödinger equation
Rufus Lawrence, Aleš Wodecki, Johannes Aspman +2
Understanding and mitigating noise in quantum systems is a fundamental challenge in achieving scalable and fault-tolerant quantum computation. Error modeling for quantum systems ca…