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

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 …

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

Motivated by the broadcast view of the interference channel, the new problem of communication with disturbance constraints is formulated. The rate-di…

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

Calibration parameters in deterministic computer experiments are those attributes that cannot be measured or available in physical experiments. Kenne…

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

It is a well established result of linear theory that the influence of differing mechanical boundary conditions, i.e., stress-free or no-slip, on the…

Multivariate problems are typically governed by anisotropic features such as edges in images. A common bracket of most of the various directional rep…

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

We propose methodology for estimation of sparse precision matrices and statistical inference for their low-dimensional parameters in a high-dimension…

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

For many natural and engineered systems, a central function or design goal is the synchronization of one or more rhythmic or oscillating processes to…

In 1-bit compressive sensing (1-bit CS) where target signal is coded into a binary measurement, one goal is to recover the signal from noisy and quan…

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

Phase-field model is a powerful mathematical tool to study the dynamics of interface and morphology changes in fluid mechanics and material sciences.…

This work develops a formal framework for specifying, implementing, and analysing quantum communication protocols. We provide tools for developing si…

An asymptotic analysis of wave propagation in randomly perturbed waveguides is carried out in order to identify the effective Markovian dynamics of t…

We focus on the problem of minimizing the sum of smooth component functions (where the sum is strongly convex) and a non-smooth convex function, which arises in regularized empirical risk minimization in machine learning and distributed constrained …

We focus on the problem of minimizing the sum of smooth component functions (where the sum is strongly convex) and a non-smooth convex function, whic…

In order to investigate various decay channels of the Higgs boson $h$ or the hypothetical dilaton, we consider a neutral particle $X$ with zero spin …

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