23 citations · 74 across the 38 of their papers we have counts for
38 papers
Topological properties and a multiplicative Bloch-Floquet-Zak transform for scattering by self-similar or fractal media
Habib Ammari, Yat Tin Chow, Fuqun Han
We develop the first rigorous topological framework for an auxiliary boundary-integral model motivated by physical scaling identities for wave scattering from self-similar or fract…
Truncated Differentiation Through Primal-Dual Solvers for Inverse Potential Mean-Field Games
Siting Liu, Yat Tin Chow, Samy Wu Fung
We study inverse potential mean-field games (MFGs), in which an unknown spatial inverse-cost (mobility) map is inferred from observed population densities. We solve the forward MFG…
Stochastic Moving Anchor Algorithms and a Popov's Scheme with Moving Anchor
James Alcala, Yat Tin Chow, Mahesh Sunkula
Since their introduction, anchoring methods in extragradient-type saddlepoint problems have inspired a flurry of research due to their ability to provide order-optimal rates of acc…
A notion of fractality for a class of states and noncommutative relative distance zeta functional
Yat Tin Chow
In this work, we first recall the definition of the relative distance zeta function in [42, 43, 44, 46, 47] and slightly generalize this notion from sets to probability measures, a…
Inexact Proximal Point Algorithms for Zeroth-Order Global Optimization
Minxin Zhang, Fuqun Han, Yat Tin Chow +2
This work concerns the zeroth-order global minimization of continuous nonconvex functions with a unique global minimizer and possibly multiple local minimizers. We formulate a theo…
Monotone inclusion methods for a class of second-order non-potential mean-field games
Levon Nurbekyan, Siting Liu, Yat Tin Chow
We propose a monotone splitting algorithm for solving a class of second-order non-potential mean-field games. Following [Achdou, Capuzzo-Dolcetta, "Mean Field Games: Numerical Meth…
State-Augmented Linear Games with Antagonistic Error for High-Dimensional, Nonlinear Hamilton-Jacobi Reachability
Will Sharpless, Yat Tin Chow, Sylvia Herbert
Hamilton-Jacobi Reachability (HJR) is a popular method for analyzing the liveness and safety of a dynamical system with bounded control and disturbance. The corresponding HJ value…
Conservative Linear Envelopes for Nonlinear, High-Dimensional, Hamilton-Jacobi Reachability
Will Sharpless, Yat Tin Chow, Sylvia Herbert
Hamilton-Jacobi reachability (HJR) provides a value function that encodes the set of states from which a system with bounded control inputs can reach or avoid a target despite any…
Moving Anchor Extragradient Methods For Smooth Structured Minimax Problems
James K. Alcala, Yat Tin Chow, Mahesh Sunkula
This work introduces a moving anchor acceleration technique to extragradient algorithms for smooth structured minimax problems. The moving anchor is introduced as a generalization…
Koopman-Hopf Hamilton-Jacobi Reachability and Control
Will Sharpless, Nikhil Shinde, Matthew Kim +2
The Hopf formula for Hamilton-Jacobi reachability (HJR) analysis has been proposed to solve high-dimensional differential games, producing the set of initial states and correspondi…
A numerical algorithm for inverse problem from partial boundary measurement arising from mean field game problem
Yat Tin Chow, Samy Wu Fung, Siting Liu +2
In this work, we consider a novel inverse problem in mean-field games (MFG). We aim to recover the MFG model parameters that govern the underlying interactions among the population…
Continuous data assimilation for two-phase flow: analysis and simulations
Yat Tin Chow, Wing Tat Leung, Ali Pakzad
We propose, analyze, and test a novel continuous data assimilation two-phase flow algorithm for reservoir simulation. We show that the solutions of the algorithm, constructed using…
Surface concentration of transmission eigenfunctions
Yat Tin Chow, Youjun Deng, Hongyu Liu +1
The transmission eigenvalue problem is a type of non-elliptic and non-selfadjoint spectral problem that arises in the wave scattering theory when invisibility/transparency occurs.…
Quantum integrable systems and concentration of plasmon resonance
Habib Ammari, Yat Tin Chow, Hongyu Liu +1
We are concerned with the quantitative mathematical understanding of surface plasmon resonance (SPR) when . SPR is the resonant oscillation of conducting electrons at the…
A Direct Sampling Method for the Inversion of the Radon Transform
Yat Tin Chow, Fuqun Han, Jun Zou
We propose a novel direct sampling method (DSM) for the effective and stable inversion of the Radon transform. The DSM is based on a generalization of the important almost orthogon…
A Direct Sampling Method for Simultaneously Recovering Inhomogeneous Inclusions of Different Nature
Yat Tin Chow, Fuqun Han, Jun Zou
In this work, we investigate a class of elliptic inverse problems and aim to simultaneously recover multiple inhomogeneous inclusions arising from two different physical parameters…
Recovery of a Time-Dependent Bottom Topography Function from the Shallow Water Equations via an Adjoint Approach
Jolene Britton, Yat Tin Chow, Weitao Chen +1
We develop an adjoint approach for recovering the topographical function included in the source term of one-dimensional hyperbolic balance laws. We focus on a specific system, name…
On the zeroth law of turbulence for the stochastically forced Navier-Stokes equations
Yat Tin Chow, Ali Pakzad
We consider three-dimensional stochastically forced Navier-Stokes equations subjected to white-in-time (colored-in-space) forcing in the absence of boundaries. Upper and lower boun…
Quantum ergodicity and localization of plasmon resonances
Habib Ammari, Yat Tin Chow, Hongyu Liu
We are concerned with the geometric properties of the surface plasmon resonance (SPR). SPR is a non-radiative electromagnetic surface wave that propagates in a direction parallel t…
Surface-localized transmission eigenstates, super-resolution imaging and pseudo surface plasmon modes
Yat Tin Chow, Youjun Deng, Youzi He +2
We present the discovery of a novel and intriguing global geometric structure of the (interior) transmission eigenfunctions associated with the Helmholtz system. It is shown in gen…
Localized sensitivity analysis at high-curvature boundary points of reconstructing inclusions in transmission problems
Habib Ammari, Yat Tin Chow, Hongyu Liu
In this paper, we are concerned with the recovery of the geometric shapes of inhomogeneous inclusions from the associated far field data in electrostatics and acoustic scattering.…
Optimal Mesh Size for Inverse Medium Scattering Problems
Habib Ammari, Yat Tin Chow, Keji Liu
An optimal mesh size of the sampling region can help to reduce computational burden in practical applications. In this work, we investigate optimal choices of mesh sizes for the id…
Multilevel Optimal Transport: a Fast Approximation of Wasserstein-1 distances
Jialin Liu, Wotao Yin, Wuchen Li +1
We propose a fast algorithm for the calculation of the Wasserstein-1 distance, which is a particular type of optimal transport distance with homogeneous of degree one transport cos…
Optimal Human Navigation in Steep Terrain: a Hamilton-Jacobi-Bellman Approach
Christian Parkinson, David Arnold, Andrea L. Bertozzi +2
We present a method for determining optimal walking paths in steep terrain using the level set method and an optimal control formulation. By viewing the walking direction as a cont…