6 citations · 10 across the 4 of their papers we have counts for
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quant-ph2018
Convergence rates for quantum evolution & entropic continuity bounds in infinite dimensions
Simon Becker, Nilanjana Datta
By extending the concept of energy-constrained diamond norms, we obtain continuity bounds on the dynamics of both closed and open quantum systems in infinite-dimensions, which are…
cond-mat.dis-nn2018
Geometry of energy landscapes and the optimizability of deep neural networks
Simon Becker, Yao Zhang, Alpha A. Lee
Deep neural networks are workhorse models in machine learning with multiple layers of non-linear functions composed in series. Their loss function is highly non-convex, yet empiric…
math.SP2018
Cantor spectrum of graphene in magnetic fields
Simon Becker, Rui Han, Svetlana Jitomirskaya
We consider a quantum graph as a model of graphene in magnetic fields and give a complete analysis of the spectrum, for all constant fluxes. In particular, we show that if the redu…