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In this paper we study properties and invariants of matrix codes endowed with the rank metric, and relate them to the covering radius. We introduce new tools for the analysis of rank-metric codes, such as puncturing and shortening…

Combinatorics · Mathematics 2016-09-01 Eimear Byrne , Alberto Ravagnani

In this letter, locally recoverable codes with maximal recoverability are studied with a focus on identifying the MDS codes resulting from puncturing and shortening. By using matroid theory and the relation between MDS codes and uniform…

Information Theory · Computer Science 2019-06-07 Matthias Grezet , Thomas Westerbäck , Ragnar Freij-Hollanti , Camilla Hollanti

Score based approaches to sampling have shown much success as a generative algorithm to produce new samples from a target density given a pool of initial samples. In this work, we consider if we have no initial samples from the target…

Machine Learning · Statistics 2022-12-08 Curtis McDonald , Andrew Barron

The Centers for Medicare & Medicaid Services (CMS) has introduced CMS1074v2, a quality measure for computed tomography (CT) that assesses radiation dose and image quality across 18 CT exam categories. This measure mandates the calculation…

Medical Physics · Physics 2025-03-11 Gary Y Ge , Charles M Weaver , Jie Zhang

We present a new dust extension to the Monte Carlo radiative transfer code crash, which enables it to simulate the propagation of ionizing radiation through mixtures of gas and dust. The new code is applied to study the impact of dust…

Astrophysics of Galaxies · Physics 2018-10-09 Martin Glatzle , Benedetta Ciardi , Luca Graziani

Estimates for asteroid masses are based on their gravitational perturbations on the orbits of other objects such as Mars, spacecraft, or other asteroids and/or their satellites. In the case of asteroid-asteroid perturbations, this leads to…

Earth and Planetary Astrophysics · Physics 2017-07-26 L. Siltala , M. Granvik

In ambient re-scatter communications, devices convey information by modulating and re-scattering the radio frequency signals impinging on their antennas. In this correspondence, we consider a system consisting of a legacy modulated…

Information Theory · Computer Science 2017-06-13 Ruifeng Duan , Riku Jäntti , Hüseyin Yiğitler , Kalle Ruttik

In this study we determined precise orbital and physical parameters of the very short period low-mass contact binary system CC Com. The parameters are obtained by analysis of the new CCD data with the archival spectroscopic data. The…

Solar and Stellar Astrophysics · Physics 2015-05-28 O. Kose , B. Kalomeni , V. Keskin , B. Ulas , K. Yakut

Sequential Monte Carlo techniques are useful for state estimation in non-linear, non-Gaussian dynamic models. These methods allow us to approximate the joint posterior distribution using sequential importance sampling. In this framework,…

Computation · Statistics 2012-07-09 Mike Klaas , Nando de Freitas , Arnaud Doucet

In metric learning, the goal is to learn an embedding so that data points with the same class are close to each other and data points with different classes are far apart. We propose a distance-ratio-based (DR) formulation for metric…

Machine Learning · Computer Science 2022-01-24 Hyeongji Kim , Pekka Parviainen , Ketil Malde

This article describes Monte-Carlo algorithms for charged systems using constrained updates for the electric field. The method is generalized to treat inhomogeneous dielectric media, electrolytes via the Poisson-Boltzmann equation and…

Statistical Mechanics · Physics 2009-11-10 A. C. Maggs

We show existence and give an implicit formula for the escape rate of the n-centre problem of celestial mechanics for high energies. Furthermore we give precise computable estimates of this rate. This exponential decay rate plays an…

Chaotic Dynamics · Physics 2008-05-07 Andreas Knauf , Markus Krapf

As a result of their applications in network coding, space-time coding, and coding for criss-cross errors, matrix codes have garnered significant attention; in various contexts, these codes have also been termed rank-metric codes,…

Information Theory · Computer Science 2015-07-21 Katherine Morrison

We present an efficient Monte-Carlo method for long-range interacting systems to calculate free energy as a function of an order parameter. In this method, a variant of the Wang-Landau method regarding the order parameter is combined with…

Statistical Mechanics · Physics 2015-03-18 Kazuya Watanabe , Munetaka Sasaki

We develop a systematic method to calculate the trace distance between two reduced density matrices in 1+1 dimensional quantum field theories. The approach exploits the path integral representation of the reduced density matrices and an ad…

High Energy Physics - Theory · Physics 2019-04-17 Jiaju Zhang , Paola Ruggiero , Pasquale Calabrese

We report calculations of energy levels, radiative rates, collision strengths, and effective collision strengths for transitions among the lowest 25 levels of the n <= 5 configurations of He~II. The general-purpose relativistic atomic…

Solar and Stellar Astrophysics · Physics 2017-04-25 K. M. Aggarwal , A. Igarashi , F. P. Keenan , S. Nakazaki

Fractional partial differential equations (FDEs) are used to describe phenomena that involve a "non-local" or "long-range" interaction of some kind. Accurate and practical numerical approximation of their solutions is challenging due to the…

Numerical Analysis · Mathematics 2019-07-18 Justin Crum , Joshua A. Levine , Andrew Gillette

Reaction rate constants and cross sections are computed for the radiative association of carbon cations ($\text{C}^+$) and fluorine atoms ($\text{F}$) in their ground states. We consider reactions through the electronic transition $1^1\Pi…

Chemical Physics · Physics 2015-10-01 Jonatan Öström , Dmitry S. Bezrukov , Gunnar Nyman , Magnus Gustafsson

Thanks to the detections of more than 3000 exoplanets these last 20 years, statistical studies have already highlighted some properties in the distribution of the planet parameters. Nevertheless, few studies have yet investigated the planet…

We propose a computational method for large deviation statistics of time-averaged quantities in general Markov processes. In our proposed method, we repeat a response measurement against external forces, where the forces are determined by…

Statistical Mechanics · Physics 2014-03-12 Takahiro Nemoto , Shin-ichi Sasa