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Quantum bits have technological imperfections. Additionally, the capacity of a component that can be implemented feasibly is limited. Therefore, distributed quantum computation is required to scale up quantum computers. This dissertation…

量子物理 · 物理学 2017-04-11 Shota Nagayama

The convergence of multigrid methods degrades significantly if a small number of low quality cells are present in a finite element mesh, and this can be a barrier to the efficient and robust application of multigrid on complicated geometric…

计算工程、金融与科学 · 计算机科学 2024-02-21 Yuxuan Chen , Garth N. Wells

Traditional compiler optimization theory distinguishes three separate classes of cache miss -- Cold, Conflict and Capacity. Tiling for cache is typically guided by capacity miss counts. Models of cache function have not been effectively…

性能 · 计算机科学 2015-11-19 David Adjiashvili , Utz-Uwe Haus , Adrian Tate

Unstructured-mesh based numerical algorithms such as finite volume and finite element algorithms form an important class of applications for many scientific and engineering domains. The key difficulty in achieving higher performance from…

数学软件 · 计算机科学 2019-07-30 András Attila Sulyok , Gábor Dániel Balogh , István Zoltán Reguly , Gihan R. Mudalige

Stencil computations consume a major part of runtime in many scientific simulation codes. As prototypes for this class of algorithms we consider the iterative Jacobi and Gauss-Seidel smoothers and aim at highly efficient parallel…

性能 · 计算机科学 2012-03-01 Jan Treibig , Gerhard Wellein , Georg Hager

This paper investigates an edge computing system where requests are processed by a set of replicated edge servers. We investigate a class of applications where similar queries produce identical results. To reduce processing overhead on the…

新兴技术 · 计算机科学 2024-05-29 Adrian-Cristian Nicolaescu , Spyridon Mastorakis , Md Washik Al Azad , David Griffin , Miguel Rio

Streamline-based quad meshing algorithms use smooth cross fields to partition surfaces into quadrilateral regions by tracing cross field separatrices. In practice, re-entrant corners and misalignment of singularities lead to small regions…

计算几何 · 计算机科学 2019-08-06 Ryan Viertel , Braxton Osting , Matthew Staten

We consider one dimensional lattice diffusion model on a microscale grid with many discrete diffusivity values which repeat periodicially. Computer algebra explores how the dynamics of small coupled `patches' predict the slow emergent…

动力系统 · 数学 2016-06-24 J. E. Bunder , A. J. Roberts , I. G. Kevrekidis

Efficient exploitation of exascale architectures requires rethinking of the numerical algorithms used in many large-scale applications. These architectures favor algorithms that expose ultra fine-grain parallelism and maximize the ratio of…

We present a general framework for compressing unstructured scientific data with known local connectivity. A common application is simulation data defined on arbitrary finite element meshes. The framework employs a greedy topology…

计算机视觉与模式识别 · 计算机科学 2025-01-22 Viktor Reshniak , Qian Gong , Rick Archibald , Scott Klasky , Norbert Podhorszki

Mining large graphs for information is becoming an increasingly important workload due to the plethora of graph structured data becoming available. An aspect of graph algorithms that has hitherto not received much interest is the effect of…

数据结构与算法 · 计算机科学 2012-03-27 Amitabha Roy

In this thesis, we describe a new, practical approach to integrating hardware-based data compression within the memory hierarchy, including on-chip caches, main memory, and both on-chip and off-chip interconnects. This new approach is fast,…

硬件体系结构 · 计算机科学 2016-09-08 Gennady Pekhimenko

This dissertation develops hardware that automatically reduces the effective latency of accessing memory in both single-core and multi-core systems. To accomplish this, the dissertation shows that all last level cache misses can be…

硬件体系结构 · 计算机科学 2016-09-02 Milad Hashemi

Grid clustering algorithms are valued for their efficiency in large-scale data analysis but face persistent limitations: parameter sensitivity, loss of structural detail at coarse resolutions, and misclassifications of edge or bridge cells…

计算物理 · 物理学 2025-12-19 Elyar Tourani , Brian J. Edwards , Bamin Khomami

Classic cache-oblivious parallel matrix multiplication algorithms achieve optimality either in time or space, but not both, which promotes lots of research on the best possible balance or tradeoff of such algorithms. We study modern…

分布式、并行与集群计算 · 计算机科学 2019-11-14 Yuan Tang

Combining kernel-based collocation methods with time-stepping methods to solve parabolic partial differential equations can potentially introduce challenges in balancing temporal and spatial discretization errors. Typically, using kernels…

数值分析 · 数学 2024-10-25 Yichen Su , Leevan Ling

We present the derivation, implementation, and analysis of a multiresolution adaptive grid framework for numerical simulations on octree-based 3D block-structured collocated grids with distributed computational architectures. Our approach…

数值分析 · 数学 2025-04-01 Thomas Gillis , Wim M. van Rees

This paper discusses the requirements for and performance metrics of the the Grid Computing system used to implement the Locus Algorithm to identify optimum pointings for differential photometry of 61,662,376 stars and 23,779 quasars.…

天体物理仪器与方法 · 物理学 2020-03-12 Oisín Creaner , John Walsh , Kevin Nolan , Eugene Hickey

One of the most widely used techniques for data clustering is agglomerative clustering. Such algorithms have been long used across many different fields ranging from computational biology to social sciences to computer vision in part…

机器学习 · 计算机科学 2014-07-15 Maria-Florina Balcan , Yingyu Liang , Pramod Gupta

Since numbers in the computer are represented with a fixed number of bits, loss of accuracy during calculation is unavoidable. At high precision where more bits (e.g. 64) are allocated to each number, round-off errors are typically small.…

数值分析 · 数学 2022-10-11 Yizhou Chen , Xiaoyun Gong , Xiang Ji