93 citations · 187 across the 31 of their papers we have counts for
4 papers · 1 filter
Optimal quantization with branched optimal transport distances
Paul Pegon, Mircea Petrache
We consider the problem of optimal approximation of a target measure by an atomic measure with atoms, in branched optimal transport distance. This is a new branched transport v…
Effective recovery of Fourier spectra and spectral approximation by finite groups
Mircea Petrache, Rodolfo Viera
We prove a result on approximate recovery, with high probability, of subgroups of a finite nonabelian group from their random perturbations. We use this for ad-hoc sequences of…
Approximation-Generalization Trade-offs under (Approximate) Group Equivariance
Mircea Petrache, Shubhendu Trivedi
The explicit incorporation of task-specific inductive biases through symmetry has emerged as a general design precept in the development of high-performance machine learning models…
Three iterations of -WL test distinguish non isometric clouds of -dimensional points
Valentino Delle Rose, Alexander Kozachinskiy, Cristóbal Rojas +2
The Weisfeiler--Lehman (WL) test is a fundamental iterative algorithm for checking isomorphism of graphs. It has also been observed that it underlies the design of several graph ne…