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A model-based optimal experiment design (OED) of nonlinear systems is studied. OED represents a methodology for optimizing the geometry of the parametric joint-confidence regions (CRs), which are obtained in an a posteriori analysis of the…

最优化与控制 · 数学 2020-08-14 Anwesh Reddy Gottu Mukkula , Radoslav Paulen

An outstanding problem in QCD and jet physics is the factorization and resummation of logarithms that arise due to phase space constraints, so-called non-global logarithms (NGLs). In this paper, we show that NGLs can be factorized and…

高能物理 - 唯象学 · 物理学 2015-10-28 Andrew J. Larkoski , Ian Moult , Duff Neill

Performing a computer experiment can be viewed as observing a mapping between the model parameters and the corresponding model outputs predicted by the computer model. In view of this, experimental design for computer experiments can be…

统计计算 · 统计学 2017-12-29 Chang-Han Rhee , Enlu Zhou , Peng Qiu

Order-of-addition experiments arise when the response depends on the order in which a set of components is added. Since the number of possible orders increases factorially with the number of components, full permutation designs are rarely…

统计方法学 · 统计学 2026-05-27 Hui Shao , Yaping Wang , Qian Xiao

Since the geometry structure of ultra-high-pressure (UHP) water-jet nozzle is a critical factor to enhance its hydrodynamic performance, it is critical to obtain a suitable geometry for a UHP water jet nozzle. In this study, a CFD-based…

流体动力学 · 物理学 2025-04-21 Yuan-Jie Chen , Ting Zhou

(Abridged) We investigate the power of void statistics to constrain galaxy bias and the amplitude of dark matter fluctuations. We use the halo occupation distribution (HOD) framework to describe the relation between galaxies and dark…

天体物理学 · 物理学 2011-02-11 Jeremy L. Tinker , David H. Weinberg , Michael S. Warren

As uncertainty and sensitivity analysis of complex models grows ever more important, the difficulty of their timely realizations highlights a need for more efficient numerical operations. Non-intrusive Polynomial Chaos methods are highly…

数值分析 · 数学 2022-04-14 Konstantin Weise , Erik Müller , Lucas Poßner , Thomas R. Knösche

To study orthogonal arrays and signed orthogonal arrays, Ray-Chaudhuri and Singhi (1988 and 1994) considered some module spaces. Here, using a linear algebraic approach we define an inclusion matrix and find its rank. In the special case of…

组合数学 · 数学 2009-05-05 A. A. Khanban , M. Mahdian , E. S. Mahmoodian

Vector Symbolic Architectures (VSAs) are a powerful framework for representing compositional reasoning. They lend themselves to neural-network implementations, allowing us to create neural networks that can perform cognitive functions, like…

神经与进化计算 · 计算机科学 2023-03-02 Jeff Orchard , Russell Jarvis

We undertake an investigation of combinatorial designs engendered by cellular automata (CA), focusing in particular on orthogonal Latin squares and orthogonal arrays. The motivation is of cryptographic nature. Indeed, we consider the…

离散数学 · 计算机科学 2016-10-04 Luca Mariot , Enrico Formenti , Alberto Leporati

Linear scaling methods, or O(N) methods, have computational and memory requirements which scale linearly with the number of atoms in the system, N, in contrast to standard approaches which scale with the cube of the number of atoms. These…

材料科学 · 物理学 2012-02-17 D. R. Bowler , T. Miyazaki

In distributed storage systems built using commodity hardware, it is necessary to have data redundancy in order to ensure system reliability. In such systems, it is also often desirable to be able to quickly repair storage nodes that fail.…

信息论 · 计算机科学 2012-01-24 Joseph C. Koo , John Gill

The formation of Hoag-type galaxies with central spheroidal galaxies and outer stellar rings has yet to be understood in astronomy. We consider that these unique objects were formed from the past interaction between elliptical galaxies and…

天体物理仪器与方法 · 物理学 2019-04-08 Eleanor Leung , Kenji Bekki , Lyndon While

Although Hadamard matrices have been investigated since the nineteenth century, relatively little is known about their higher-dimensional analogues. In this paper, we introduce two constructions of Hadamard hypercubes. The first…

组合数学 · 数学 2026-05-19 Amin Bahmanian , Sho Suda

Simulating lattice gauge theories on quantum computers presents unique challenges that drive the development of novel theoretical frameworks. The orbifold lattice approach offers a scalable method for simulating SU($N$) gauge theories in…

高能物理 - 格点 · 物理学 2026-04-07 Emanuele Mendicelli , Georg Bergner , Masanori Hanada

In this note, we construct non-lattice sphere packings in dimensions $19$, $20$, $21$, $23$, $44$, $45$, and $47$, demonstrating record densities that surpass all previously documented results in these dimensions. The construction involves…

度量几何 · 数学 2025-05-06 Ruitao Chen , Jiachen Hu , Binghui Li , Liwei Wang , Tianyi Wu

We develop new approximation algorithms for classical graph and set problems in the RAM model under space constraints. As one of our main results, we devise an algorithm for d-Hitting Set that runs in time n^{O(d^2 + d/\epsilon})}, uses…

数据结构与算法 · 计算机科学 2021-02-23 Arindam Biswas , Venkatesh Raman , Saket Saurabh

A new pre-exascale computer cluster has been designed to foster scientific progress and competitive innovation across European research systems, it is called LEONARDO. This paper describes the general architecture of the system and focuses…

分布式、并行与集群计算 · 计算机科学 2023-08-01 Matteo Turisini , Giorgio Amati , Mirko Cestari

Latin squares have been historically used in order to create statistical designs in which, starting from a small number of experiments, it can be obtained a large experimental space. In this sense, the optimization of the selection of Latin…

组合数学 · 数学 2011-05-06 R. M. Falcón

Standard approaches to Bayesian parameter inference in large scale structure assume a Gaussian functional form (chi-squared form) for the likelihood. This assumption, in detail, cannot be correct. Likelihood free inferences such as…

宇宙学与河外天体物理 · 物理学 2017-06-21 ChangHoon Hahn , Mohammadjavad Vakili , Kilian Walsh , Andrew P. Hearin , David W. Hogg , Duncan Campbell