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In this paper we face the problem of representation of functional data with the tools of algebraic topology. We represent functions by means of merge trees, which, like the more commonly used persistence diagrams, are invariant under…

Methodology · Statistics 2024-11-11 Matteo Pegoraro , Piercesare Secchi

Sparse Matrix-Matrix multiplication is a key kernel that has applications in several domains such as scientific computing and graph analysis. Several algorithms have been studied in the past for this foundational kernel. In this paper, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-10 Mehmet Deveci , Christian Trott , Sivasankaran Rajamanickam

GROMACS is a widely-used molecular dynamics software package with a focus on performance, portability, and maintainability across a broad range of platforms. Thanks to its early algorithmic redesign and flexible heterogeneous…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-26 Andrey Alekseenko , Szilárd Páll , Erik Lindahl

Nowadays, several industrial applications are being ported to parallel architectures. These applications take advantage of the potential parallelism provided by multiple core processors. Many-core processors, especially the GPUs(Graphics…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-03-28 Wendell Rodrigues , Frédéric Guyomarc'h , Jean-Luc Dekeyser

We describe a parallel version of our tree-code for the simulation of self-gravitating systems in Astrophysics. It is based on a dynamic and adaptive method for the domain decomposition, which exploits the hierarchical data arrangement used…

Astrophysics · Physics 2007-05-23 P. Miocchi , R. Capuzzo-Dolcetta

Miller and Reif's FOCS'85 classic and fundamental tree contraction algorithm is a broadly applicable technique for the parallel solution of a large number of tree problems. Additionally it is also used as an algorithmic design technique for…

Data Structures and Algorithms · Computer Science 2021-11-04 MohammadTaghi Hajiaghayi , Marina Knittel , Hamed Saleh , Hsin-Hao Su

A merge tree is a fundamental topological structure used to capture the sub-level set (and similarly, super-level set) topology in scalar data analysis. The interleaving distance is a theoretically sound, stable metric for comparing merge…

Computational Geometry · Computer Science 2026-02-13 Althaf P , Amit Chattopadhyay , Osamu Saeki

Across a wide range of hardware scenarios, the computational efficiency and physical size of the arithmetic units significantly influence the speed and footprint of the overall hardware system. Nevertheless, the effectiveness of prior…

Machine Learning · Computer Science 2024-05-14 Yao Lai , Jinxin Liu , David Z. Pan , Ping Luo

Tree matching techniques have been investigated in many fields, including web data mining and extraction, as a key component to analyze the content of web documents, existing tree matching approaches, like Tree-Edit Distance (TED) or…

Databases · Computer Science 2024-06-28 Sacha Brisset , Romain Rouvoy , Renaud Pawlak , Lionel Seinturier

Automated tuning of compute kernels is a popular area of research, mainly focused on finding optimal kernel parameters for a problem with fixed input sizes. This approach is good for deploying machine learning models, where the network…

Machine Learning · Computer Science 2020-03-17 John Lawson

We have developed a gravity solver based on combining the well developed Particle-Mesh (PM) method and TREE methods. It is designed for and has been implemented on parallel computer architectures. The new code can deal with tens of millions…

Astrophysics · Physics 2009-10-22 Guohong Xu

Modern computing workloads commonly involve matrix-matrix multiplication (mmul) as a core computing pattern. Coarse-Grained Reconfigurable Arrays (CGRAs) can flexibly and efficiently support it, since they combine operation-level…

Hardware Architecture · Computer Science 2026-04-29 Yuxuan Wang , María José Belda , Fernando Castro , Katzalin Olcoz , David Atienza , Giovanni Ansaloni

We present efficient algorithms to build data structures and the lists needed for fast multipole methods. The algorithms are capable of being efficiently implemented on both serial, data parallel GPU and on distributed architectures. With…

Mathematical Software · Computer Science 2013-01-10 Qi Hu , Nail A. Gumerov , Ramani Duraiswami

GPU-based HPC clusters are attracting more scientific application developers due to their extensive parallelism and energy efficiency. In order to achieve portability among a variety of multi/many core architectures, a popular choice for an…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-10 Ali TehraniJamsaz , Alok Mishra , Akash Dutta , Abid M. Malik , Barbara Chapman , Ali Jannesari

Balanced search trees are widely used in computer science to efficiently maintain dynamic ordered data. To support efficient set operations (e.g., union, intersection, difference) using trees, the join-based framework is widely studied.…

Data Structures and Algorithms · Computer Science 2025-10-24 Michael Goodrich , Yan Gu , Ryuto Kitagawa , Yihan Sun

Stack Long Short-Term Memory (StackLSTM) is useful for various applications such as parsing and string-to-tree neural machine translation, but it is also known to be notoriously difficult to parallelize for GPU training due to the fact that…

Computation and Language · Computer Science 2019-04-09 Shuoyang Ding , Philipp Koehn

The paper presents investigations on the implementation and performance of the finite element numerical integration algorithm for first order approximations and three processor architectures, popular in scientific computing, classical CPU,…

Mathematical Software · Computer Science 2016-05-25 Krzysztof Banaś , Filip Krużel , Jan Bielański

Modern computer systems typically conbine multicore CPUs with accelerators like GPUs for inproved performance and energy efficiency. However, these sys- tems suffer from poor performance portability, code tuned for one device must be…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-23 Thomas L. Falch , Anne C. Elster

Computational platforms for high-performance scientific applications are becoming more heterogenous, including hardware accelerators such as multiple GPUs. Applications in a wide variety of scientific fields require an efficient and careful…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-12 Rocío Carratalá-Sáez , Francisco J. andújar , Yuri Torres , Arturo Gonzalez-Escribano , Diego R. Llanos

Feature tracking in time-varying scalar fields is a fundamental task in scientific computing. Topological descriptors, which summarize important features of data, have proved to be viable tools to facilitate this task. The merge tree is a…

Graphics · Computer Science 2025-10-14 Son Le Thanh , Tino Weinkauf
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