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Efficient indexing is fundamental for multi-dimensional data management and analytics. An emerging tendency is to directly learn the storage layout of multi-dimensional data by simple machine learning models, yielding the concept of Learned…

数据库 · 计算机科学 2024-05-10 Qiyu Liu , Maocheng Li , Yuxiang Zeng , Yanyan Shen , Lei Chen

We present a simple yet general and efficient approach to representation of computational meshes. Meshes are represented as sets of mesh entities of different topological dimensions and their incidence relations. We discuss a…

数值分析 · 数学 2012-05-15 Anders Logg

Indexing intervals is a fundamental problem, finding a wide range of applications. Recent work on managing large collections of intervals in main memory focused on overlap joins and temporal aggregation problems. In this paper, we propose…

数据库 · 计算机科学 2022-03-08 George Christodoulou , Panagiotis Bouros , Nikos Mamoulis

Inactive constraints do not contribute to the solution of an optimal control problem, but increase the problem size and burden the numerical computations. We present a novel strategy for handling inactive constraints efficiently by…

系统与控制 · 电气工程与系统科学 2021-12-16 Yuanbo Nie , Eric C. Kerrigan

Multidimensional optimization problems where the objective function and the constraints are multiextremal non-differentiable Lipschitz functions (with unknown Lipschitz constants) and the feasible region is a finite collection of robust…

最优化与控制 · 数学 2015-03-19 Yaroslav D. Sergeyev , Paolo Pugliese , Domenico Famularo

Very large volumes of spatial data increasingly become available and demand effective management. While there has been decades of research on spatial data management, few works consider the current state of commodity hardware, having…

We propose a computationally efficient method to solve the dynamics of operators of bosonic quantum systems coupled to their environments. The method maps the operator under interest to a set of complex-valued functions, and its adjoint…

Indexing is an effective way to support efficient query processing in large databases. Recently the concept of learned index, which replaces or complements traditional index structures with machine learning models, has been actively…

数据库 · 计算机科学 2022-08-01 Yao Tian , Tingyun Yan , Xi Zhao , Kai Huang , Xiaofang Zhou

Emulation has been successfully applied across a wide variety of scientific disciplines for efficiently analysing computationally intensive models. We develop known boundary emulation strategies which utilise the fact that, for many…

统计方法学 · 统计学 2020-03-16 Samuel E. Jackson , Ian Vernon

Numerical solution of equations governing time domain simulations in computational electromagnetics, is usually based on grid methods in space and on explicit schemes for the time evolution. A predefined grid in the problem domain and a…

数值分析 · 数学 2013-04-29 Guido Ala , Elisa Francomano

We review the literature on algorithms for estimating the index space in a multi-index model. The primary focus is on computationally efficient (polynomial-time) algorithms in Gaussian space, the assumptions under which consistency is…

机器学习 · 统计学 2025-06-17 Joan Bruna , Daniel Hsu

We present the design and implementation details of a geometric multigrid method on adaptively refined meshes for massively parallel computations. The method uses local smoothing on the refined part of the mesh. Partitioning is achieved by…

数值分析 · 计算机科学 2021-08-04 Thomas C. Clevenger , Timo Heister , Guido Kanschat , Martin Kronbichler

We propose a multi-index algorithm for the Monte Carlo (MC) discretization of a linear, elliptic PDE with affine-parametric input. We prove an error vs. work analysis which allows a multi-level finite-element approximation in the physical…

数值分析 · 数学 2019-07-18 Josef Dick , Michael Feischl , Christoph Schwab

Index structures are important for efficient data access, which have been widely used to improve the performance in many in-memory systems. Due to high in-memory overheads, traditional index structures become difficult to process the…

数据库 · 计算机科学 2019-05-16 Pengfei Li , Yu Hua , Pengfei Zuo , Jingnan Jia

We propose joining a flexible mesh design with an integrated residual transcription in order to improve the accuracy of numerical solutions to optimal control problems. This approach is particularly useful when state or input trajectories…

系统与控制 · 电气工程与系统科学 2024-10-31 Lucian Nita , Eric C. Kerrigan

This paper is concerned with developing an efficient numerical algorithm for fast implementation of the sparse grid method for computing the $d$-dimensional integral of a given function. The new algorithm, called the MDI-SG ({\em multilevel…

数值分析 · 数学 2022-10-27 Huicong Zhong , Xiaobing Feng

Despite the rapidly evolving field of computational electromagnetics, few open-source tools have managed to tackle the problem of automatic mesh generation for properly discretizing the problem of interest into a finite set of elements…

信号处理 · 电气工程与系统科学 2022-09-22 Apostolos Spanakis-Misirlis

In index modulation schemes, information bits are conveyed through indexing of transmission entities such as antennas, subcarriers, times slots, precoders, subarrays, and radio frequency (RF) mirrors. Index modulation schemes are attractive…

信息论 · 计算机科学 2017-02-13 Bharath Shamasundar , Swaroop Jacob , Sandeep Bhat , A. Chockalingam

Efficiently querying data on embedded sensor and IoT devices is challenging given the very limited memory and CPU resources. With the increasing volumes of collected data, it is critical to process, filter, and manipulate data on the edge…

数据库 · 计算机科学 2023-03-07 David Ding , Ivan Carvalho , Ramon Lawrence

An efficient parallelization approach to simulate optical properties of ensembles of quantum emitters in realistic electromagnetic environments is considered. It relies on balancing computing load of utilized processors and is built into…

计算物理 · 物理学 2023-02-01 Maxim Sukharev
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