607 citations · 716 across the 24 of their papers we have counts for
28 papers
Random walks in frequency and the reconstruction of obstacles with cavities from multi-frequency data
Travis Askham, Carlos Borges, Jeremy Hoskins +1
Inverse obstacle scattering is the recovery of an obstacle boundary from the scattering data produced by incident waves. This shape recovery can be done by iteratively solving a PD…
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…
Magnetic Schrödinger operators and landscape functions
Jeremy G. Hoskins, Hadrian Quan, Stefan Steinerberger
We study localization properties of low-lying eigenfunctions of magnetic Schrödinger operators where $V:Ω\rightarrow…
Quantum electrodynamics of chiral waveguide arrays
Jeremy Hoskins, Manas Rachh, John C Schotland
We consider the quantum electrodynamics of a binary array of chiral waveguides, each containing many atoms. We show that the one-photon amplitude of a single-excitation state obeys…
From pinned billiard balls to partial differential equations
Krzysztof Burdzy, Jeremy G. Hoskins, Stefan Steinerberger
We discuss the propagation of kinetic energy through billiard balls fixed in place along a one-dimensional segment. The number of billiard balls is assumed to be large but finite a…
Asymmetric transport computations in Dirac models of topological insulators
Guillaume Bal, Jeremy G Hoskins, Zhongjian Wang
This paper presents a fast algorithm for computing transport properties of two-dimensional Dirac operators with linear domain walls, which model the macroscopic behavior of the rob…
On a linearization of quadratic Wasserstein distance
Philip Greengard, Jeremy G. Hoskins, Nicholas F. Marshall +1
This paper studies the problem of computing a linear approximation of quadratic Wasserstein distance . In particular, we compute an approximation of the negative homogeneous w…
Analysis of the inverse Born series: an approach
Jeremy G Hoskins, John C Schotland
We analyze the convergence and approximation error of the inverse Born series, obtaining results that hold under qualitatively weaker conditions than previously known. Our approach…
Analysis of single-excitation states in quantum optics
Jeremy Hoskins, Jason Kaye, Manas Rachh +1
In this paper we analyze the dynamics of single-excitation states, which model the scattering of a single photon from multiple two level atoms. For short times and weak atom-field…
Fast methods for posterior inference of two-group normal-normal models
Philip Greengard, Jeremy Hoskins, Charles C. Margossian +2
We describe a class of algorithms for evaluating posterior moments of certain Bayesian linear regression models with a normal likelihood and a normal prior on the regression coeffi…
A fast, high-order numerical method for the simulation of single-excitation states in quantum optics
Jeremy Hoskins, Jason Kaye, Manas Rachh +1
We consider the numerical solution of a nonlocal partial differential equation which models the process of collective spontaneous emission in a two-level atomic system containing a…
Committor functions via tensor networks
Yian Chen, Jeremy Hoskins, Yuehaw Khoo +1
We propose a novel approach for computing committor functions, which describe transitions of a stochastic process between metastable states. The committor function satisfies a back…
Dynamics of zeroes under repeated differentiation
Jeremy Hoskins, Zakhar Kabluchko
Consider a random polynomial of degree whose roots are independent random variables sampled according to some probability distribution on the complex plane $\mathbb…
A fast adaptive algorithm for scattering from a two dimensional radially-symmetric potential
Jeremy Hoskins, Vladimir Rokhlin
In the present paper we describe a simple black box algorithm for efficiently and accurately solving scattering problems related to the scattering of time-harmonic waves from radia…
On the inverse scattering problem for radially-symmetric domains in two dimensions
Abinand Gopal, Jeremy Hoskins, Vladimir Rokhlin
In the present paper we describe a method for solving inverse problems for the Helmholtz equation in radially-symmetric domains given multi-frequency data. Our approach is based on…
A Semicircle Law for Derivatives of Random Polynomials
Jeremy G. Hoskins, Stefan Steinerberger
Let be independent and identically distributed random variables with mean zero, unit variance, and finite moments of all remaining orders. We study the random…
On the discretization of Laplace's equation with Neumann boundary conditions on polygonal domains
Jeremy Hoskins, Manas Rachh
In the present paper we describe a class of algorithms for the solution of Laplace's equation on polygonal domains with Neumann boundary conditions. It is well known that in such c…
Towards Optimal Gradient Bounds for the Torsion Function in the Plane
Jeremy G. Hoskins, Stefan Steinerberger
Let be a bounded, convex domain and let be the solution of vanishing on the boundary . The estimate $$ \| \nabla u\|_{L^{\infty}(Ω…
A Transport Model for Multi-Frequency Acousto-Optic Tomography
Francis J. Chung, Jeremy G. Hoskins, John C. Schotland
In a medium where the dielectric permittivity is perturbed in the presence of an acoustic wave, optical scattering generates frequency-shifted light. In this paper we consider the…
A Note on the Transport Method for Hybrid Inverse Problems
Francis J. Chung, Jeremy G. Hoskins, John C. Schotland
There are several hybrid inverse problems for equations of the form in which we want to obtain the coefficients and on a domain when…
On the solution of Laplace's equation in the vicinity of triple-junctions
Jeremy Hoskins, Manas Rachh
In this paper we characterize the behavior of solutions to systems of boundary integral equations associated with Laplace transmission problems in composite media consisting of reg…
Dimer chains in waveguide quantum electrodynamics
Imran M. Mirza, Jeremy G. Hoskins, John C. Schotland
We examine the propagation of single photons in periodic and disordered dimer chains coupled to one-dimensional chiral and bidirectional waveguides. Each dimer is composed of two d…
Learning Networks from Random Walk-Based Node Similarities
Jeremy G. Hoskins, Cameron Musco, Christopher Musco +1
Digital presence in the world of online social media entails significant privacy risks. In this work we consider a privacy threat to a social network in which an attacker has acces…
Efficient Algorithms for t-distributed Stochastic Neighborhood Embedding
George C. Linderman, Manas Rachh, Jeremy G. Hoskins +2
t-distributed Stochastic Neighborhood Embedding (t-SNE) is a method for dimensionality reduction and visualization that has become widely popular in recent years. Efficient impleme…