4 papers
Quadratic number of nodes is sufficient to learn a dataset via gradient descent
Biswarup Das, Eugene. A. Golikov
We prove that if an activation function satisfies some mild conditions and number of neurons in a two-layered fully connected neural network with this activation function is beyond…
A Dolbeault-Dirac Spectral Triple for Quantum Projective Space
Biswarup Das, Réamonn Ó Buachalla, Petr Somberg
The notion of a Kähler structure for a differential calculus was recently introduced by the second author as a framework in which to study the noncommutative geometry of the quantu…
Invariant Markov semigroups on quantum homogeneous spaces
Biswarup Das, Uwe Franz, Xumin Wang
Invariance properties of linear functionals and linear maps on algebras of functions on quantum homogeneous spaces are studied, in particular for the special case of expected coide…
Admissibility Conjecture and Kazhdan's Property (T) for quantum groups
Biswarup Das, Matthew Daws, Pekka Salmi
We give a partial solution to a long-standing open problem in the theory of quantum groups, namely we prove that all finite-dimensional representations of a wide class of locally c…