activity
19992023
most citedInverse Diffusion Theory of Photoacoustics

99 citations · 922 across the 83 of their papers we have counts for

collaborators

97 papers

physics.med-ph2023

Optimizing dual-energy CT technique for iodine-based contrast-to-noise ratio

Fatma Terzioglu, Emil Y. Sidky, Jp Phillips +3

Purpose: This study proposes a systematic method for determining the optimal x-ray tube settings/energy windows and fluence for minimal noise and maximum CNR in material density im…

math.SP2023★ 1 cited

Scattering theory of topologically protected edge transport

Binglu Chen, Guillaume Bal

This paper develops a scattering theory for the asymmetric transport observed at interfaces separating two-dimensional topological insulators. Starting from the spectral decomposit…

cs.LG2023★ 1 cited

Mathematical analysis of singularities in the diffusion model under the submanifold assumption

Yubin Lu, Zhongjian Wang, Guillaume Bal

This paper concerns the mathematical analyses of the diffusion model in machine learning. The drift term of the backward sampling process is represented as a conditional expectatio…

math-ph2022

Integral formulation of Klein-Gordon singular waveguides

Guillaume Bal, Jeremy Hoskins, Solomon Quinn +1

We consider the analysis of singular waveguides separating insulating phases in two-space dimensions. The insulating domains are modeled by a massive Schrödinger equation and the s…

math.AP2022

Long time asymptotics of mixed-type Kimura diffusions

Guillaume Bal, Binglu Chen, Zhongjian Wang

This paper concerns the long-time asymptotics of diffusions with degenerate coefficients at the domain's boundary. Degenerate diffusion operators with mixed linear and quadratic de…

math-ph2022★ 6 cited

Asymmetric transport for magnetic Dirac equations

Solomon Quinn, Guillaume Bal

This paper concerns the asymmetric transport associated with a low-energy interface Dirac model of graphene-type materials subject to external magnetic and electric fields. We show…