We are very grateful to Marcus Benna and Mikael Smedbäck for their valuable input into various aspects of this paper. We are also grateful to Daniel Jafferis, Anton Kapustin and Juan Maldacena for very helpful discussions. This research is supported…

We use group theoretic methods to calculate the spectrum of short multiplets around the extremum of N=8 gauged supergravity potential which possesses…

We begin by proving the following representation.

The nonlinear filter associated with the discrete time signal-observation model $(X_k,Y_k)$ is known to forget its initial condition as $k\to\infty$ …

In this section we show that a globally F-regular type variety is rationally connected.

In this paper, we show that projective globally $F$-regular threefolds, defined over an algebraically closed field of characteristic $p\geq 11$, are …

We propose a new dataset for evaluating question answering models with respect to their capacity to reason about beliefs. Our tasks are inspired by t…

As is explained in Remark 2.3, the key step in establishing assumption (A6) is to obtain a type of large deviations property. The following Azuma–Hoeffding type inequality provides what is needed in the V-uniformly ergodic case.

Consider a parametrized family of general hidden Markov models, where both the observed and unobserved components take values in a complete separable…

In this paper we show if a generative model can be expressed as the composition of n Barron functions, then it can be approximated by a n+1-layer neural network. Along the way we proved a multi-layer version of the Barron’s Theorem [Barron1993], and…

Deep neural nets have caused a revolution in many classification tasks. A related ongoing revolution---also theoretically not understood---concerns t…

We have performed an extensive search for planet candidates in the publicly available Kepler Long Cadence data from quarters Q1 through Q6. The searc…

3D Dirac semi-metals (DSMs) are materials that have massless Dirac electrons and exhibit exotic physical properties It has been suggested that struct…

This paper considers the problem of secret communication over a two-receiver multiple-input multiple-output (MIMO) Gaussian broadcast channel. The tr…

A network consisting of $n$ source-destination pairs and $m$ relays is considered. Focusing on the large system limit (large $n$), the throughput sca…

Data collecting agents in large networks, such as the electric power system, need to share information (measurements) for estimating the system state…

An important, yet largely unstudied, problem in student data analysis is to detect misconceptions from students' responses to open-response questions…

We discuss the problem of extending data mining approaches to cases in which data points arise in the form of individual graphs. Being able to find t…

We prove a "Decomposition Lemma" that allows us to count preimages of certain sets of permutations under West's stack-sorting map $s$. As a first app…

The throughput of users with poor channel conditions, such as those at a cell edge, is a bottleneck in wireless systems. A major part of the power bu…

Packing problems have been a source of fascination for millenia and their study has produced a rich literature that spans numerous disciplines. Inves…

Link and node failures are two common fundamental problems that affect operational networks. Protection of communication networks against such failur…

Recommendation systems have received considerable attention in the recent decades. Yet with the development of information technology and social medi…

Recovering low-rank structures via eigenvector perturbation analysis is a common problem in statistical machine learning, such as in factor analysis,…

Stimulus dimensionality-reduction methods in neuroscience seek to identify a low-dimensional space of stimulus features that affect a neuron's probab…

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