19 citations · 30 across the 6 of their papers we have counts for
9 papers
Imbedding Deep Neural Networks
Andrew Corbett, Dmitry Kangin
Continuous-depth neural networks, such as Neural ODEs, have refashioned the understanding of residual neural networks in terms of non-linear vector-valued optimal control problems.…
Voronoï summation for half-integral weight automorphic forms
Edgar Assing, Andrew Corbett
A general Voronoï summation formula for the (metaplectic) double cover of is derived via the representation theoretic framework à la Ichino--Templier. The identity is…
A symplectic restriction problem
Valentin Blomer, Andrew Corbett
We investigate the norm of a degree 2 Siegel modular form of asymptotically large weight whose argument is restricted to the 3-dimensional subspace of its imaginary part. On averag…
The Transfer of Polarised Radiation in Homogeneous Water Bodies
Andrew Corbett
We give an analytic solution for the propagation of polarised radiation through a homogeneous water body. As corollaries we derive the vector bidirectional reflectance distribution…
Voronoï summation via switching cusps
Edgar Assing, Andrew Corbett
We consider the Fourier expansion of a Hecke (resp.\ Hecke--Maaß) cusp form of general level at the various cusps of $Γ_{0}(N)\bs\Hb$. We explain how to compute these coefficie…
Voronoi summation for : collusion between level and modulus
Andrew Corbett
We investigate the Voronoi summation problem for in the level aspect for . Of particular interest are those primes at which the level and modulus are jointly…