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We introduce a new algorithm computing the characteristic polynomials of hyperplane arrangements which exploits their underlying symmetry groups. Our algorithm counts the chambers of an arrangement as a byproduct of computing its…

组合数学 · 数学 2025-05-21 Taylor Brysiewicz , Holger Eble , Lukas Kühne

In this paper, we propose and analyze a multiscale method for a class of quasilinear elliptic problems of nonmonotone type with spatially multiscale coefficient. The numerical approach is inspired by the Localized Orthogonal Decomposition…

数值分析 · 数学 2025-07-28 Maher Khrais , Barbara Verfürth

Making the most of next-generation galaxy clustering surveys requires overcoming challenges in complex, non-linear modelling to access the significant amount of information at smaller cosmological scales. Field-level inference has provided…

宇宙学与河外天体物理 · 物理学 2025-10-02 Ludvig Doeser , Metin Ata , Jens Jasche

The local density approximation (LDA) constructed through quantum Monte Carlo calculations of the homogeneous electron gas (HEG) is the most common approximation to the exchange-correlation functional in density functional theory. We…

其他凝聚态物理 · 物理学 2021-01-15 Mike Entwistle , Matthew Hodgson , Jack Wetherell , Bradley Longstaff , James Ramsden , Rex Godby

We present a new method that simultaneously solves for cosmology and galaxy bias on non-linear scales. The method uses the halo model to analytically describe the (non-linear) matter distribution, and the conditional luminosity function…

宇宙学与河外天体物理 · 物理学 2015-06-05 Frank van den Bosch , Surhud More , Marcello Cacciato , Houjun Mo , Xiaohu Yang

We introduce orthogonal quantum Latin squares, which restrict to traditional orthogonal Latin squares, and investigate their application in quantum information science. We use quantum Latin squares to build maximally entangled bases, and…

量子物理 · 物理学 2017-01-04 Benjamin Musto

Semantic shape completion is a challenging problem in 3D computer vision where the task is to generate a complete 3D shape using a partial 3D shape as input. We propose a learning-based approach to complete incomplete 3D shapes through…

计算机视觉与模式识别 · 计算机科学 2018-10-02 Swaminathan Gurumurthy , Shubham Agrawal

Performance variability management is an active research area in high-performance computing (HPC). We focus on input/output (I/O) variability. To study the performance variability, computer scientists often use grid-based designs (GBDs) to…

应用统计 · 统计学 2022-01-25 Yueyao Wang , Li Xu , Yili Hong , Rong Pan , Tyler Chang , Thomas Lux , Jon Bernard , Layne Watson , Kirk Cameron

Anticipating the low energy arrangements of atoms in space is an indispensable scientific task. Modern stochastic approaches to searching for these configurations depend on the optimisation of structures to nearby local minima in the energy…

材料科学 · 物理学 2019-02-07 Chris J. Pickard

Acquiring information on spatial phenomena can be costly and time-consuming. In this context, to obtain reliable global knowledge, the choice of measurement location is a crucial issue. Space-lling designs are often used to control…

应用统计 · 统计学 2024-02-15 Sylvain Coly , Pierre Druilhet , Nourddine Azzaoui

Supersaturated design (SSD) has received much recent interest because of its potential in factor screening experiments. In this paper, we provide equivalent conditions for two columns to be fully aliased and consequently propose methods for…

统计理论 · 数学 2011-05-20 Fasheng Sun , Dennis K. J. Lin , Min-Qian Liu

Ladder models of ultracold atoms offer a versatile platform for the experimental and theoretical study of different phenomena and phases of matter linked to the interplay between artificial gauge fields and interactions. Strongly correlated…

We present some new ideas on how to design analogue models of quantum fields living in curved spacetimes using ultra-cold atoms in optical lattices. We discuss various types of static and dynamical curved spacetimes achievable by simple…

量子物理 · 物理学 2014-10-08 Nikodem Szpak

Simulated dark matter haloes are fitted by self-similar, universal density profiles, where the scaled parameters depend only on a scaled (truncation) radius which, in turn, is supposed to be independent on the mass and the formation…

天体物理学 · 物理学 2007-05-23 R. Caimmi , C. Marmo

Quantum error correction codes associated with the hyperbolic plane have been explored extensively in the context of the AdS$_3$/CFT$_2$ correspondence. In this paper we initiate a systematic study of codes associated with holographic…

高能物理 - 理论 · 物理学 2023-01-09 Marika Taylor , Charles Woodward

Self-supervision for semantic occupancy estimation is appealing as it removes the labour-intensive manual annotation, thus allowing one to scale to larger autonomous driving datasets. Superquadrics offer an expressive shape family very…

计算机视觉与模式识别 · 计算机科学 2026-03-16 Seamie Hayes , Alexandre Boulch , Andrei Bursuc , Reenu Mohandas , Ganesh Sistu , Tim Brophy , Ciaran Eising

The desirable properties when constructing collections of subspaces often include the algebraic constraint that the projections onto the subspaces yield a resolution of the identity like the projections onto lines spanned by vectors of an…

泛函分析 · 数学 2021-06-02 Emily J. King

Driven by increased complexity of dynamical systems, the solution of system of differential equations through numerical simulation in optimization problems has become computationally expensive. This paper provides a smart data driven…

最优化与控制 · 数学 2021-08-25 Kainat Khowaja , Mykhaylo Shcherbatyy , Wolfgang Karl Härdle

Semi-analytic models are a widely used approach to simulate galaxy properties within a cosmological framework, relying on simplified yet physically motivated prescriptions. They have also proven to be an efficient alternative for generating…

The partial Latin square extension problem is to fill as many as possible empty cells of a partially filled Latin square. This problem is a useful model for a wide range of applications in diverse domains. This paper presents the first…

人工智能 · 计算机科学 2022-02-11 Olivier Goudet , Jin-Kao Hao