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Graph Neural Networks (GNNs) have shown great superiority on non-Euclidean graph data, achieving ground-breaking performance on various graph-related tasks. As a practical solution to train GNN on large graphs with billions of nodes and…

机器学习 · 计算机科学 2024-09-24 Zeyu Zhu , Peisong Wang , Qinghao Hu , Gang Li , Xiaoyao Liang , Jian Cheng

The generic matrix multiply (GEMM) function is the core element of high-performance linear algebra libraries used in many computationally-demanding digital signal processing (DSP) systems. We propose an acceleration technique for GEMM based…

数学软件 · 计算机科学 2015-05-30 Davide Anastasia , Yiannis Andreopoulos

Network representations can help reveal the behavior of complex systems. Useful information can be derived from the network properties and invariants, such as components, clusters or cliques, as well as from their changes over time. The…

社会与信息网络 · 计算机科学 2019-03-18 Luis Ramada Pereira , Rui J. Lopes , Jorge Louçã

Gaussian process regression is a widely-applied method for function approximation and uncertainty quantification. The technique has gained popularity recently in the machine learning community due to its robustness and interpretability. The…

机器学习 · 统计学 2022-10-12 Marcus M. Noack , James A. Sethian

Graphics Processing Units are high performance co-processors originally intended to improve the use and the acceleration of computer graphics applications. Because of their performance, researchers have extended their use beyond the…

仪器与探测器 · 物理学 2015-03-10 Bachir Bouhadef , Mauro Morganti , Giuseppe Terreni

Neural networks have proven their capabilities by outperforming many other approaches on regression or classification tasks on various kinds of data. Other astonishing results have been achieved using neural nets as data generators,…

计算机视觉与模式识别 · 计算机科学 2018-10-16 Andrej Junginger , Markus Hanselmann , Thilo Strauss , Sebastian Boblest , Jens Buchner , Holger Ulmer

Deep artificial neural networks require a large corpus of training data in order to effectively learn, where collection of such training data is often expensive and laborious. Data augmentation overcomes this issue by artificially inflating…

机器学习 · 计算机科学 2017-08-22 Luke Taylor , Geoff Nitschke

Digital Geometry software should reflect the generality of the underlying mathe- matics: mapping the latter to the former requires genericity. By designing generic solutions, one can effectively reuse digital geometry data structures and…

数学软件 · 计算机科学 2012-09-20 Roland Levillain , Thierry Géraud , Laurent Najman

We present a general method for accelerating by more than an order of magnitude the convolution of pixelated function on the sphere with a radially-symmetric kernel. Our method splits the kernel into a compact real-space, and a compact…

天体物理仪器与方法 · 物理学 2012-11-16 P. M. Sutter , Benjamin D. Wandelt , Franz Elsner

We propose a spherical kernel for efficient graph convolution of 3D point clouds. Our metric-based kernels systematically quantize the local 3D space to identify distinctive geometric relationships in the data. Similar to the regular grid…

计算机视觉与模式识别 · 计算机科学 2020-03-24 Huan Lei , Naveed Akhtar , Ajmal Mian

This paper presents the preliminary results of the characterization of pattern evolution in the process of cosmic structure formation. We are applying on N-body cosmological simulations data the technique proposed by Rosa, Sharma & Valdivia…

斑图形成与孤子 · 物理学 2009-11-11 Ana Paula Andrade , Andre Luis B. Ribeiro , Reinaldo R. Rosa

We review connections between phase transitions in high-dimensional combinatorial geometry and phase transitions occurring in modern high-dimensional data analysis and signal processing. In data analysis, such transitions arise as abrupt…

统计理论 · 数学 2015-05-13 David L. Donoho , Jared Tanner

We present a GPU-accelerated cosmological simulation code, PhotoNs-GPU, based on algorithm of Particle Mesh Fast Multipole Method (PM-FMM), and focus on the GPU utilization and optimization. A proper interpolated method for truncated…

天体物理仪器与方法 · 物理学 2021-12-28 Qiao Wang , Chen Meng

Convolutional neural networks (CNNs) have found many applications in tasks involving two-dimensional (2D) data, such as image classification and image processing. Therefore, 2D convolution layers have been heavily optimized on CPUs and…

General Purpose Graphics Processing Unit (GPGPU) computing plays a transformative role in deep learning and machine learning by leveraging the computational advantages of parallel processing. Through the power of Compute Unified Device…

This paper describes the generation of initial conditions for numerical simulations in cosmology with multiple levels of resolution, or multiscale simulations. We present the theory of adaptive mesh refinement of Gaussian random fields…

天体物理学 · 物理学 2009-07-09 Edmund Bertschinger

Graph property prediction is drawing increasing attention in the recent years due to the fact that graphs are one of the most general data structures since they can contain an arbitrary number of nodes and connections between them, and it…

机器学习 · 计算机科学 2024-05-21 Eric Alcaide

There has been significant research over the past two decades in developing new platforms for spiking neural computation. Current neural computers are primarily developed to mimick biology. They use neural networks which can be trained to…

神经与进化计算 · 计算机科学 2015-07-23 Xavier Lagorce , Ryad Benosman

Dense prediction tasks typically employ encoder-decoder architectures, but the prevalent convolutions in the decoder are not image-adaptive and can lead to boundary artifacts. Different generalized convolution operations have been…

计算机视觉与模式识别 · 计算机科学 2019-09-10 Anne S. Wannenwetsch , Martin Kiefel , Peter V. Gehler , Stefan Roth

This paper presents, to the author's knowledge, the first graphics processing unit (GPU) accelerated program that solves the evolution of interacting scalar fields in an expanding universe. We present the implementation in NVIDIA's Compute…

天体物理仪器与方法 · 物理学 2014-11-20 Jani Sainio