This paper presents two algorithms for calculating an ensemble of solutions to laminar natural convection problems. The ensemble average is the most …

We study an inverse source problem for the acoustic wave equation in a random waveguide. The goal is to estimate the source of waves from measurement…

A problem of great interest in optimization is to minimize a sum of two closed, proper, and convex functions where one is smooth and the other has a …

Schwarz methods are attractive parallel solvers for large scale linear systems obtained when partial differential equations are discretized. For hybr…

Fast algorithms for matrix multiplication, namely those that perform asymptotically fewer scalar operations than the classical algorithm, have been c…

We consider the classical stochastic multi-armed bandit problem with a constraint on the total cost incurred by switching between actions. We prove m…

Low-rank matrix approximations, such as the truncated singular value decomposition and the rank-revealing QR decomposition, play a central role in da…

Counting the frequencies of 3-, 4-, and 5-node undirected motifs (also know as graphlets) is widely used for understanding complex networks such as s…

Local iterated function systems are an important generalisation of the standard (global) iterated function systems (IFSs). For a particular class of …

In this paper, we study numerical methods for the solution of partial differential equations on evolving surfaces. The evolving hypersurface in $\Bbb…

We consider fundamental limits on the detectable size of macroscopic quantum superpositions. We argue that a full quantum mechanical treatment of sys…

The swimming trajectories of self-propelled organisms or synthetic devices in a viscous fluid can be altered by hydrodynamic interactions with nearby…

Modeling and identification of high-dimensional stochastic processes is ubiquitous in many fields. In particular, there is a growing interest in mode…

We study array imaging of a sparse scene of point-like sources or scatterers in a homogeneous medium. For source imaging the sensors in the array are…

The varying-coefficient model is an important nonparametric statistical model that allows us to examine how the effects of covariates vary with expos…

A weak turbulence theory is derived for magnetohydrodynamics under rapid rotation and in the presence of a large-scale magnetic field. The angular ve…

The problem of finding sparse solutions to underdetermined systems of linear equations arises in several applications (e.g. signal and image processi…

The transition mechanism of jump processes between two different subsets in state space reveals important dynamical information of the processes and …

The stable principal component pursuit (SPCP) problem is a non-smooth convex optimization problem, the solution of which has been shown both in theor…

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

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