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In practice symmetries of combinatorial structures are computed by transforming the structure into an annotated graph whose automorphisms correspond exactly to the desired symmetries. An automorphism solver is then employed to compute the…

Data Structures and Algorithms · Computer Science 2021-08-11 Markus Anders , Pascal Schweitzer

Batch Bayesian optimisation and Bayesian quadrature have been shown to be sample-efficient methods of performing optimisation and quadrature where expensive-to-evaluate objective functions can be queried in parallel. However, current…

Machine Learning · Computer Science 2023-07-06 Masaki Adachi , Satoshi Hayakawa , Saad Hamid , Martin Jørgensen , Harald Oberhauser , Micheal A. Osborne

In this paper, we present a novel parallel dimension-independent node positioning algorithm that is capable of generating nodes with variable density, suitable for meshless numerical analysis. A very efficient sequential algorithm based on…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-04 Matjaž Depolli , Jure Slak , Gregor Kosec

Motivated by the recently proposed parallel orbital-updating approach in real space method, we propose a parallel orbital-updating based plane-wave basis method for electronic structure calculations, for solving the corresponding eigenvalue…

Computational Physics · Physics 2017-09-13 Yan Pan , Xiaoying Dai , Stefano de Gironcoli , Xin-Gao Gong , Gian-Marco Rignanese , Aihui Zhou

We propose a new formulation for integrating over smooth curves and surfaces that are described by their closest point mappings. Our method is designed for curves and surfaces that are not defined by any explicit parameterization and is…

Numerical Analysis · Mathematics 2015-10-16 Catherine Kublik , Richard Tsai

This paper presents a novel partially distributed outer approximation algorithm, named PaDOA, for solving a class of structured mixed integer convex programming (MICP) problems to global optimality. The proposed scheme uses an iterative…

Optimization and Control · Mathematics 2019-11-20 Alexander Murray , Timm Faulwasser , Veit Hagenmeyer , Mario E. Villanueva , Boris Houska

Score-based algorithms that learn the structure of Bayesian networks can be used for both exact and approximate solutions. While approximate learning scales better with the number of variables, it can be computationally expensive in the…

Machine Learning · Computer Science 2022-02-22 Zhigao Guo , Anthony C. Constantinou

In this paper we present a new multilevel quasi-interpolation algorithm for smooth periodic functions using scaled Gaussians as basis functions. Recent research in this area has focussed upon implementations using basis function with finite…

Numerical Analysis · Mathematics 2017-03-14 Simon Hubbert , Jeremy Levesley

Quantification of tissue parameters using MRI is emerging as a powerful tool in clinical diagnosis and research studies. The need for multiple long scans with different acquisition parameters prohibits quantitative MRI from reaching…

Quantitative Methods · Quantitative Biology 2024-08-07 Amir Heydari , Abbas Ahmadi , Tae Hyung Kim , Berkin Bilgic

Optical metasurfaces are planar arrangements of subwavelength meta-atoms that implement a wide range of transformations on incident light. The design of efficient metasurfaces requires that the responses of and interactions among meta-atoms…

Optics · Physics 2021-01-19 Mahdad Mansouree , Andrew McClung , Sarath Samudrala , Amir Arbabi

In parallel computing, a valid graph coloring yields a lock-free processing of the colored tasks, data points, etc., without expensive synchronization mechanisms. However, coloring is not free and the overhead can be significant. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-11 Mustafa Kemal Taş , Kamer Kaya , Erik Saule

Approximate Bayesian Computation (ABC) is a widely applicable and popular approach to estimating unknown parameters of mechanistic models. As ABC analyses are computationally expensive, parallelization on high-performance infrastructure is…

Quantitative Methods · Quantitative Biology 2023-05-02 Emad Alamoudi , Felipe Reck , Nils Bundgaard , Frederik Graw , Lutz Brusch , Jan Hasenauer , Yannik Schälte

The conformal mapping of the Borel plane can be utilized for the analytic continuation of the Borel transform to the entire positive real semi-axis and is thus helpful in the resummation of divergent perturbation series in quantum field…

High Energy Physics - Phenomenology · Physics 2008-11-26 U. D. Jentschura , G. Soff

Learning-based image harmonization techniques are usually trained to undo synthetic random global transformations applied to a masked foreground in a single ground truth photo. This simulated data does not model many of the important…

Computer Vision and Pattern Recognition · Computer Science 2023-03-02 Ke Wang , Michaël Gharbi , He Zhang , Zhihao Xia , Eli Shechtman

We propose a novel optimization algorithm for continuous functions using geodesics and contours under conformal mapping.The algorithm can find multiple optima by first following a geodesic curve to a local optimum then traveling to the next…

Computation · Statistics 2015-04-15 Ricky Fok , Aijun An , Xiaogong Wang

The past few years have witnessed growth in the computational requirements for training deep convolutional neural networks. Current approaches parallelize training onto multiple devices by applying a single parallelization strategy (e.g.,…

Machine Learning · Computer Science 2018-06-12 Zhihao Jia , Sina Lin , Charles R. Qi , Alex Aiken

We present a strongly-coupled immersed-boundary method for flow-structure interaction problems involving thin deforming bodies. The method is stable for arbitrary choices of solid-to-fluid mass ratios and for large body motions. As with…

Fluid Dynamics · Physics 2016-10-05 Andres Goza , Tim Colonius

We use the concept of barrier-based smoothing approximations introduced in [ C. B. Chua and Z. Li, A barrier-based smoothing proximal point algorithm for NCPs over closed convex cones, SIOPT 23(2), 2010] to extend the non-interior…

Optimization and Control · Mathematics 2020-03-06 Le Thi Khanh Hien , Chek Beng Chua

The Reeb graph of a scalar function defined on a domain gives a topologically meaningful summary of that domain. Reeb graphs have been shown in the past decade to be of great importance in geometric processing, image processing, computer…

Computational Geometry · Computer Science 2020-10-13 Mustafa Hajij , Paul Rosen

The multilevel Schwarz preconditioner is one of the most popular parallel preconditioners for enhancing convergence and improving parallel efficiency. However, its parallel implementation on arbitrary unstructured triangular/tetrahedral…

Numerical Analysis · Mathematics 2024-12-13 Chengdi Ma
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