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The Euler Curve Transform (ECT) of Turner et al.\ is a complete invariant of an embedded simplicial complex, which is amenable to statistical analysis. We generalize the ECT to provide a similarly convenient representation for weighted…

Computational Geometry · Computer Science 2020-04-24 Qitong Jiang , Sebastian Kurtek , Tom Needham

Efficient Graph processing is challenging because of the irregularity of graph algorithms. Using GPUs to accelerate irregular graph algorithms is even more difficult to be efficient, since GPU's highly structured SIMT architecture is not a…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-05 Xuhao Chen

[Abridged] We present the results of a highly parallel Kepler equation solver using the Graphics Processing Unit (GPU) on a commercial nVidia GeForce 280GTX and the "Compute Unified Device Architecture" programming environment. We apply…

Astrophysics · Physics 2008-12-17 Eric B. Ford

The Morse-Smale complex is a well studied topological structure that represents the gradient flow behavior between critical points of a scalar function. It supports multi-scale topological analysis and visualization of feature-rich…

Graphics · Computer Science 2023-11-07 Varshini Subhash , Karran Pandey , Vijay Natarajan

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

Computing on graphics processors is maybe one of the most important developments in computational science to happen in decades. Not since the arrival of the Beowulf cluster, which combined open source software with commodity hardware to…

Mathematical Software · Computer Science 2011-09-21 Felipe A. Cruz , Simon K. Layton , Lorena A. Barba

In this paper, we demonstrate how GPU-accelerated BEM routines can be used in a simple black-box fashion to accelerate fast boundary element formulations based on Hierarchical Matrices (H-Matrices) with ACA (Adaptive Cross Approximation).…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-07 Kerstin Vater , Timo Betcke , Boris Dilba

General purpose computing on graphics processing units (GPGPU) is dramatically changing the landscape of high performance computing in astronomy. In this paper, we identify and investigate several key decision areas, with a goal of…

Instrumentation and Methods for Astrophysics · Physics 2011-01-25 Christopher J. Fluke , David G. Barnes , Benjamin R. Barsdell , Amr H. Hassan

Future computing systems, from handhelds to supercomputers, will undoubtedly be more parallel and heterogeneous than todays systems to provide more performance and energy efficiency. Thus, GPUs are increasingly being used to accelerate…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-18 Saeed Taheri , Apan Qasem , Martin Burtscher

In this paper we introduce a statistic, the persistent homology transform (PHT), to model surfaces in $\mathbb{R}^3$ and shapes in $\mathbb{R}^2$. This statistic is a collection of persistence diagrams - multiscale topological summaries…

Statistics Theory · Mathematics 2014-07-16 Katharine Turner , Sayan Mukherjee , Doug M Boyer

Graph Convolutional Networks (GCNs) can capture non-Euclidean spatial dependence between different brain regions. The graph pooling operator, a crucial element of GCNs, enhances the representation learning capability and facilitates the…

Computer Vision and Pattern Recognition · Computer Science 2024-03-01 Cheng Zhu , Jiayi Zhu , Xi Wu , Lijuan Zhang , Shuqi Yang , Ping Liang , Honghan Chen , Ying Tan

Large-language models (LLMs) are rapidly being applied to radiology, enabling automated image interpretation and report generation tasks. Their deployment in clinical practice requires both high diagnostic accuracy and low inference…

Tissues and Organs · Quantitative Biology 2025-11-11 Jyun-Ping Kao

Genetic Programming (GP) has been primarily used to tackle optimization, classification, and feature selection related tasks. The widespread use of GP is due to its flexible and comprehensible tree-type structure. Similarly, research is…

Computer Vision and Pattern Recognition · Computer Science 2020-06-29 Asifullah Khan , Aqsa Saeed Qureshi , Noorul Wahab , Mutawara Hussain , Muhammad Yousaf Hamza

This work deals with the optimization of computer programs targeting Graphics Processing Units (GPUs). The goal is to lift, from programmers to optimizing compilers, the heavy burden of determining program details that are dependent on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-16 Xiaohui Chen , Marc Moreno-Maza , Jeeva Paudel , Ning Xie

The exponential growth of floating point power in graphics processing units (GPUs), together with their low cost, has given rise to an attractive platform upon which to deploy lattice QCD calculations. GPUs are essentially many (O(100))…

High Energy Physics - Lattice · Physics 2010-11-05 M. A. Clark

Recent works on representation learning for graph structured data predominantly focus on learning distributed representations of graph substructures such as nodes and subgraphs. However, many graph analytics tasks such as graph…

Artificial Intelligence · Computer Science 2017-07-18 Annamalai Narayanan , Mahinthan Chandramohan , Rajasekar Venkatesan , Lihui Chen , Yang Liu , Shantanu Jaiswal

Hyperspectral image (HSI) clustering is a challenging task due to the high complexity of HSI data. Subspace clustering has been proven to be powerful for exploiting the intrinsic relationship between data points. Despite the impressive…

Computer Vision and Pattern Recognition · Computer Science 2020-09-01 Yaoming Cai , Zijia Zhang , Zhihua Cai , Xiaobo Liu , Xinwei Jiang , Qin Yan

Electrocardiograms (ECG) analysis is one of the most important ways to diagnose heart disease. This paper proposes an efficient ECG classification method based on Wasserstein scalar curvature to comprehend the connection between heart…

Computational Engineering, Finance, and Science · Computer Science 2022-10-26 Fupeng Sun , Yin Ni , Yihao Luo , Huafei Sun

Cardiovascular disease affects millions of people worldwide and its social and economic cost clearly motivates scientific research. Computer simulation can lead to a better understanding of cardiac physiology, and for pathology presents…

Biological Physics · Physics 2023-02-27 Toby Simpson

At present, there are a large number of quantum neural network models to deal with Euclidean spatial data, while little research have been conducted on non-Euclidean spatial data. In this paper, we propose a novel quantum graph…

Signal Processing · Electrical Eng. & Systems 2021-07-08 Jin Zheng , Qing Gao , Yanxuan Lv
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