We initiate the study of efficient mechanism design with guaranteed good properties even when players participate in multiple different mechanisms si…

Heterogeneity is often natural in many contemporary applications involving massive data. While posing new challenges to effective learning, it can pl…

We consider an intermediary's problem of dynamically matching demand and supply of heterogeneous types in a periodic-review fashion. More specificall…

This paper is concerned with analysis of electromagnetic wave scattering by an obstacle which is embedded in a two-layered lossy medium separated by …

For the large-scale linear discrete ill-posed problem $\min\|Ax-b\|$ or $Ax=b$ with $b$ contaminated by a white noise, Lanczos bidiagonalization base…

We present an analysis of wave propagation in a two step-index, parallel waveguide system. The goal is to quantify the effect of scattering at random…

Atmospheric turbulence is an important limit to high angular resolution in astronomy. Interferometry resolved this issue by filtering the incoming li…

We focus on the downlink of a cellular system, which corresponds to the bulk of the data transfer in such wireless systems. We address the problem of…

This paper considers constrained optimization over a renewal system. A controller observes a random event at the beginning of each renewal frame and …

We present a mathematical theory of time-harmonic wave propagation and reflection in a two-dimensional random acoustic waveguide with sound soft boun…

We investigate a quasicontinuum method by means of analytical tools. More precisely, we compare a discrete-to-continuum analysis of an atomistic one-…

This paper studies attack-resilient estimation of a class of switched nonlinear systems subject to stochastic noises. The systems are threatened by b…

We study a turbulence closure model in which the fractional Laplacian $(-\Delta)^\alpha$ of the velocity field represents the turbulence diffusivity.…

We model messaging activities as a hierarchical doubly stochastic point process with three main levels, and develop an iterative algorithm for inferr…

We study the problem of learning \emph{across} a sequence of price experiments for related products, focusing on implementing the Thompson sampling a…

We study web and mobile applications that are used to schedule advance service, from medical appointments to restaurant reservations. We model them a…

The Kuramoto model of a system of coupled phase oscillators and its many variations are frequently used to describe synchronization phenomena in natu…

This paper presents an application of mean field control to dynamic production optimization. Both noncooperative and cooperative solutions are consid…

We study long range propagation of electromagnetic waves in random waveguides with rectangular cross-section and perfectly conducting boundaries. The…

We establish the a-priori convergence rate for finite element approximations of a class of nonlocal nonlinear fracture models. We consider state base…

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