429 citations · 1.5k across the 138 of their papers we have counts for
154 papers
Gabor frames and higher dimensional boundaries in signal analysis on manifolds
Vasiliki Liontou, Matilde Marcolli
We provide a construction of Gabor frames that encode local linearizations of a signal detected on a curved smooth manifold of arbitrary dimension, with Gabor filters that can dete…
Old and New Minimalism: a Hopf algebra comparison
Matilde Marcolli, Robert C. Berwick, Noam Chomsky
In this paper we compare some old formulations of Minimalism, in particular Stabler's computational minimalism, and Chomsky's new formulation of Merge and Minimalism, from the poin…
Cohn-Elkies functions from Gabor frames
Yuri Manin, Matilde Marcolli
We investigate the relation between two different mathematical problems: the construction of bounds on sphere packing density using Cohn-Elkies functions and the construction of Ga…
Computability questions in the sphere packing problem
Yuri Manin, Matilde Marcolli
We consider the sets of dimensions for which there is an optimal sphere packing with special regularity properties (respectively, a lattice, or a periodic set with a given bound on…
Pareto Optimization in Categories
Matilde Marcolli
We propose a model of Pareto optimization (multi-objective programming) in the context of a categorical theory of resources. We describe how to adapt multi-objective swarm intellig…
Holographic tensor networks from hyperbolic buildings
Elliott Gesteau, Matilde Marcolli, Sarthak Parikh
We introduce a unifying framework for the construction of holographic tensor networks, based on the theory of hyperbolic buildings. The underlying dualities relate a bulk space to…