15 citations · 68 across the 33 of their papers we have counts for
38 papers
Single-Orbit Recovery of Groups via an Optimization Principle
Bernhard G. Bodmann, Reshma Sabnam
The objective of this paper is to identify a finite group based on the orbit of a vector under its action. When a finite group acts unitarily on a Hilbert space, the associated Gra…
Deconvolution on graphs via linear programming
Bernhard G. Bodmann, Jennifer J. May
The main challenge addressed in this paper is to identify individual terms in a superposition of heat kernels on a graph. We establish geometric conditions on the vertices at which…
A scattering transform for graphs based on heat semigroups, with an application for the detection of anomalies in positive time series with underlying periodicities
Bernhard G. Bodmann, Iris Emilsdottir
This paper develops an adaptive version of Mallat's scattering transform for signals on graphs. The main results are norm bounds for the layers of the transform, obtained from a ve…
Spikes, Roots, and Modulations: Phase Retrieval for Finitely-Supported Complex Measures
Bernhard G. Bodmann, Ahmed Abouserie
We study the recovery of a finitely supported distribution, a complex linear combination of Dirac measures, from intensity measurements. The distribution $μ=\sum_{j=1}^{s}c_{j}δ_{t…
From the Harmonic Oscillator to Time-Frequency Analysis of Chirp Signals
Donald J. Kouri, Caleb Broodo, Bernhard G. Bodmann +1
This paper presents a novel approach to understanding the role of harmonic dynamics and gaining a deeper appreciation for its impact within and outside of quantum mechanics. This i…
Phase retrieval by random binary questions: Which complementary subspace is closer?
Dylan Domel-White, Bernhard G. Bodmann
Phase retrieval in real or complex Hilbert spaces is the task of recovering a vector, up to an overall unimodular multiplicative constant, from magnitudes of linear measurements. I…