We have shown that EabG is isomorphic to the Orlik-Terao algebra UG, which suggests that EsG can be thought of as a noncommutative analogue of UG. Since UG can be defined for any hyperplane arrangement, it may be possible to similarly describe a non…

The Fomin-Kirillov algebra $\mathcal E_n$ is a noncommutative algebra with a generator for each edge in the complete graph on $n$ vertices. For any g…

In this paper, we introduce an algebraic method to construct stable and consistent univariate autoregressive (AR) models of low order for filtering a…

Differential privacy has recently emerged as the de facto standard for private data release. This makes it possible to provide strong theoretical gua…

Core-collapse supernova (CCSN) simulations have long included neutrino transport with a detailed set of collision rates, but until now the technology to simultaneously and self-consistently also treat neutrino flavor oscillations did not exist. In t…

Neutrinos play a critical role of transporting energy and changing the lepton density within core-collapse supernovae and neutron star mergers. The q…

In this paper we present two unconditionally energy stable finite difference schemes for the Modified Phase Field Crystal (MPFC) equation, a sixth-or…

Automated UI testing is an important component of the continuous integration process of software development. A modern web-based UI is an amalgam of …

We study the compressed sensing (CS) signal estimation problem where an input signal is measured via a linear matrix multiplication under additive no…

Multi-agent networked control systems (NCSs) are often subject to model uncertainty and are limited by large communication cost, associated with feed…

In this paper we study group-based Markov models of evolution and their mixtures. In the algebreo-geometric setting, group-based phylogenetic tree mo…

Public disclosure of important security information, such as knowledge of vulnerabilities or exploits, often occurs in blogs, tweets, mailing lists, …

Communication at mmWave bands carries critical importance for 5G wireless networks. In this paper, we study the characterization of mmWave air-to-gro…

We introduce a deep (670 ks) X-ray survey of the SN1006 remnant from Chandra, plus a deep H-alpha image from the 4m telescope at CTIO. Comparison wit…

Novel experimental techniques are required to make the next big leap in neutron electric dipole moment experimental sensitivity, both in terms of sta…

The main goal of this work is to clarify and quantify, by means of mathematical analysis, the role of structural viscoelasticity in the biomechanical…

Power system controllers responsible for transient stability and power oscillation damping are commonly operated in a decentralized and uncoordinated…

Structural equation models are multivariate statistical models that are defined by specifying noisy functional relationships among random variables. …

Conventional correlation-based frame synchronization techniques can suffer significant performance degradation over multi-path frequency-selective ch…

The propagation and controlled manipulation of strongly nonlinear, two-dimensional solitonic states in a thin, anisotropic ferromagnet are theoretica…

We study additive function-on-function regression where the mean response at a particular time point depends on the time point itself as well as the …

Support vector data description (SVDD) is a machine learning technique that is used for single-class classification and outlier detection. The idea o…

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