In this section, we present a series of applications to the study of the von Neumann algebras of SLd(Z). Let us start by specializing Lemma 4.11 to the case of SLd(Z).

We introduce a wide class of countable groups, called properly proximal, which contains all non-amenable bi-exact groups, all non-elementary converge…

The ability to register image data to a common coordinate system is a critical feature of virtually all imaging studies that require multiple subject…

We obtain formulae for the expected number and height distribution of critical points of smooth isotropic Gaussian random fields parameterized on Euc…

Let F be a prime finite field. A code C⊂{Fn→F} is a subset of functions from Fn to F, where functions in the code are called codewords. The distance between two functions f,g:Fn→F is the fraction of coordinates where they disagree,

Let $f$ be a polynomial of degree $d$ in $n$ variables over a finite field $\mathbb{F}$. The polynomial is said to be unbiased if the distribution of…

Let H⊂Rd. We prove Theorem 1.1 in four steps:

Let $H$ be an arbitrary family of hyper-planes in $d$-dimensions. We show that the point-location problem for $H$ can be solved by a linear decision …

In the family of the iron-based superconductors, the $RE$FeAsO-type compounds (with $RE$ being a rare-earth metal) exhibit the highest bulk supercond…

The inherent heterogeneous structure resulting from user densities and large scale channel effects motivates heterogeneous partial feedback design in…

We address the problem of aggregating an ensemble of predictors with known loss bounds in a semi-supervised binary classification setting, to minimiz…

This paper investigates tradeoffs among optimization errors, statistical rates of convergence and the effect of heavy-tailed random errors for high-d…

Consider a decision maker who is responsible to dynamically collect observations so as to enhance his information about an underlying phenomena of in…

Using the Atacama Large Millimeter/submillimeter Array, we have made the first high spatial and spectral resolution observations of the molecular gas…

Infrared studies have revealed debris likely related to planet formation in orbit around ~30% of youthful, intermediate mass, main sequence stars. We…

In object detection, an intersection over union (IoU) threshold is required to define positives and negatives. An object detector, trained with low I…

The problem of multi-domain learning of deep networks is considered. An adaptive layer is induced per target domain and a novel procedure, denoted co…

We study three fundamental statistical-learning problems: distribution estimation, property estimation, and property testing. We establish the profil…

We propose a graphical model for representing networks of stochastic processes, the minimal generative model graph. It is based on reduced factorizat…

We give an efficient algorithm for finding sparse approximate solutions to linear systems of equations with nonnegative coefficients. Unlike most known results for sparse recovery, we do not require {\em any} assumption on the matrix other than non-…

We give an efficient algorithm for finding sparse approximate solutions to linear systems of equations with nonnegative coefficients. Unlike most kno…

We design an algorithmic framework using matrix exponentials for time-domain simulation of power delivery network (PDN). Our framework can reuse fact…

We propose a new algorithmic framework for sequential hypothesis testing with i.i.d. data, which includes A/B testing, nonparametric two-sample testi…

We propose an efficient estimation method for the income Pareto exponent when only certain top income shares are observable. Our estimator is based o…

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