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 …

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

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…

These lecture notes are based on a tutorial given in 2017 at a plasma physics winter school in Les Houches. Their aim is to provide a self-contained …

Rational large Reynolds number matched asymptotic analyses of three-dimensional magneto-hydrodynamic dynamo states are concerned. The dynamos, here a…

We present full accounts of a method to extract nucleon-nucleon (NN) potentials from the Bethe-Salpter amplitude in lattice QCD. The method is applie…

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…

Recently, deep learning approaches with various network architectures have achieved significant performance improvement over existing iterative recon…

We design an asymptotic-preserving scheme for the semiconductor Boltzmann equation which leads to an energy-transport system for electron mass and in…

The traditional difficulty about stochastic singular control is to characterize the regularities of the value function and the optimal control policy…

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…

This paper is concerned with the inverse scattering problem of time-harmonic elastic waves by an unbounded rigid rough surface. A direct imaging meth…

This paper presents an application of mean field control to dynamic production optimization. Both noncooperative and cooperative solutions are consid…

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…

Jet quenching has become an essential signal for the characterization of the medium formed in experiments of heavy-ion collisions. After a brief intr…

We propose a model for the dynamics of a limit order book in a liquid market where buy and sell orders are submitted at high frequency. We derive a f…

We analyze a gradient flow of closed planar curves minimizing the anisoperimetric ratio. For such a flow the normal velocity is a function of the ani…

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