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

This article provides a Wilsonian description of the perturbatively renormalizable Tensorial Group Field Theory introduced in arXiv:1303.6772 [hep-th…

In this paper, a new approach based on convex analysis is introduced to solve the $H_\infty$ problem for discrete-time nonlinear stochastic systems. …

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…

Procedures in assessing the impact of serial dependency on performance analysis are usually built on parametrically specified models. In this paper, …

A classical problem in matrix computations is the efficient and reliable approximation of a given matrix by a matrix of lower rank. The truncated sin…

We introduce {\em vector diffusion maps} (VDM), a new mathematical framework for organizing and analyzing massive high dimensional data sets, images …

In this paper we illustrate the simplifications produced by FDR in NNLO computations. We show with an explicit example that - due to its four-dimensi…

The rules to write out any one of the linearly independent functions belonging to the infinite set of those in polynomial form that satisfy the sourc…

Many combinatorial and topological invariants of a hyperplane arrangement can be computed in terms of its Tutte polynomial. Similarly, many invariant…

We summarize the results of the paper.

The positive and not completely positive maps of density matrices, which are contractive maps, are discussed as elements of a semigroup. A new kind o…

In this paper, we study the stabilization problem for the Ito systems with both multiplicative noise and multiple delays which exist widely in applic…

In this paper we explore how concepts of high-dimensional data compression via random projections onto lower-dimensional spaces can be applied for tr…

This section is devoted to proving Theorems 3.2 and 3.3. Firstly, we show a technical result.

This paper is the first part of our series work to establish pointwise second-order necessary conditions for stochastic optimal controls. In this par…

In these lectures we give an overview of the duality between gravitational theories of massless higher spin fields in AdS and large N vector models. …

The translation of a bubble under the action of an acoustic forcing finds applications in fields ranging from drug delivery to sonoluminesce. This ph…

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