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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…

Combinatorics · Mathematics 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…

Numerical Analysis · Mathematics 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…

Cosmology and Nongalactic Astrophysics · Physics 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…

Other Condensed Matter · Physics 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…

Cosmology and Nongalactic Astrophysics · Physics 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…

Quantum Physics · Physics 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Applications · Statistics 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…

Materials Science · Physics 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…

Applications · Statistics 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…

Statistics Theory · Mathematics 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…

Quantum Physics · Physics 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…

Astrophysics · Physics 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…

High Energy Physics - Theory · Physics 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Functional Analysis · Mathematics 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…

Optimization and Control · Mathematics 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…

Artificial Intelligence · Computer Science 2022-02-11 Olivier Goudet , Jin-Kao Hao