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Diffusion models represent a powerful family of generative models widely used for image and video generation. However, the time-consuming deployment, long inference time, and requirements on large memory hinder their applications on…

Machine Learning · Computer Science 2025-04-18 Kafeng Wang , Jianfei Chen , He Li , Zhenpeng Mi , Jun Zhu

Reduction operations are extensively employed in many computational problems. A reduction consists of, given a finite set of numeric elements, combining into a single value all elements in that set, using for this a combiner function. A…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-23 Walid Jradi , Hugo do Nascimento , Wellington Martins

We present the implementation of a trust-region Newton algorithm ExaTron for bound-constrained nonlinear programming problems, fully running on multiple GPUs. Without data transfers between CPU and GPU, our implementation has achieved the…

Optimization and Control · Mathematics 2021-06-30 Youngdae Kim , François Pacaud , Kibaek Kim , Mihai Anitescu

The IEEE 754-2008 standard recommends the correct rounding of some elementary functions. This requires to solve the Table Maker's Dilemma which implies a huge amount of CPU computation time. We consider in this paper accelerating such…

Mathematical Software · Computer Science 2013-06-06 Pierre Fortin , Mourad Gouicem , Stef Graillat

Sparse compiler is a promising solution for sparse tensor algebra optimization. In compiler implementation, reduction in sparse-dense hybrid algebra plays a key role in performance. Though GPU provides various reduction semantics that can…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-10 Genghan Zhang , Yuetong Zhao , Yanting Tao , Zhongming Yu , Guohao Dai , Sitao Huang , Yuan Wen , Pavlos Petoumenos , Yu Wang

The efficient solution of sparse, linear systems resulting from the discretization of partial differential equations is crucial to the performance of many physics-based simulations. The algorithmic optimality of multilevel approaches for…

Mathematical Software · Computer Science 2018-03-08 Andrew Reisner , Luke N. Olson , J. David Moulton

Handling clustering problems are important in data statistics, pattern recognition and image processing. The mean-shift algorithm, a common unsupervised algorithms, is widely used to solve clustering problems. However, the mean-shift…

Computer Vision and Pattern Recognition · Computer Science 2021-12-30 Le You , Han Jiang , Jinyong Hu , Chorng Chang , Lingxi Chen , Xintong Cui , Mengyang Zhao

Dynamic programming (DP) is a cornerstone of combinatorial optimization, yet its inherently sequential structure has long limited its scalability in scenario-based stochastic programming (SP). This paper introduces a GPU-accelerated…

Optimization and Control · Mathematics 2025-11-25 Jingyi Zhao , Linxin Yang , Haohua Zhang , Tian Ding

DBSCAN is a well-known density-based clustering algorithm to discover arbitrary shape clusters. While conceptually simple in serial, the algorithm is challenging to efficiently parallelize on manycore GPU architectures. Common pitfalls,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-30 Andrey Prokopenko , Damien Lebrun-Grandie , Daniel Arndt

Priority queue, often implemented as a heap, is an abstract data type that has been used in many well-known applications like Dijkstra's shortest path algorithm, Prim's minimum spanning tree, Huffman encoding, and the branch-and-bound…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-18 Yanhao Chen , Fei Hua , Chaozhang Huang , Jeremy Bierema , Chi Zhang , Eddy Z. Zhang

Recent deep learning models have moved beyond low-dimensional regular grids such as image, video, and speech, to high-dimensional graph-structured data, such as social networks, brain connections, and knowledge graphs. This evolution has…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-22 Lingxiao Ma , Zhi Yang , Youshan Miao , Jilong Xue , Ming Wu , Lidong Zhou , Yafei Dai

Full-batch training on Graph Neural Networks (GNN) to learn the structure of large graphs is a critical problem that needs to scale to hundreds of compute nodes to be feasible. It is challenging due to large memory capacity and bandwidth…

Discontinuous Galerkin (DG) methods for the numerical solution of partial differential equations have enjoyed considerable success because they are both flexible and robust: They allow arbitrary unstructured geometries and easy control of…

Numerical Analysis · Mathematics 2009-11-18 Andreas Klöckner , Tim Warburton , Jeffrey Bridge , Jan S. Hesthaven

This article presents new algorithms for massively parallel granular dynamics simulations on distributed memory architectures using a domain partitioning approach. Collisions are modelled with hard contacts in order to hide their…

Computational Engineering, Finance, and Science · Computer Science 2015-01-26 Tobias Preclik , Ulrich Rüde

The identification, and subsequent discovery, of fast radio transients through blind-search surveys requires a large amount of processing power, in worst cases scaling as $\mathcal{O}(N^3)$. For this reason, survey data are generally…

Instrumentation and Methods for Astrophysics · Physics 2014-02-04 Alessio Magro , Aris Karastergiou , Stefano Salvini , Benjamin Mort , Fred Dulwich , Kristian Zarb Adami

This work presents a GPU thread mapping approach that allows doing fast parallel stencil-like computations on discrete fractals using their compact representation. The intuition behind is to employ two GPU tensor-core accelerated thread…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-26 Felipe A. Quezada , Cristóbal A. Navarro

As recurrent neural networks become larger and deeper, training times for single networks are rising into weeks or even months. As such there is a significant incentive to improve the performance and scalability of these networks. While…

Machine Learning · Computer Science 2016-04-08 Jeremy Appleyard , Tomas Kocisky , Phil Blunsom

The optimization of the transpose convolution layer for deep learning applications is achieved with the kernel segregation mechanism. However, kernel segregation has disadvantages, such as computing extra elements to obtain the output…

Machine Learning · Computer Science 2025-03-03 Vijay Srinivas Tida , Md Imran Hossen , Liqun Shan , Sai Venkatesh Chilukoti , Sonya Hsu , Xiali Hei

Distributed computing excels at processing large scale data, but the communication cost for synchronizing the shared parameters may slow down the overall performance. Fortunately, the interactions between parameter and data in many problems…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-19 Mu Li , Dave G. Andersen , Alexander J. Smola

Connected components and spanning forest are fundamental graph algorithms due to their use in many important applications, such as graph clustering and image segmentation. GPUs are an ideal platform for graph algorithms due to their high…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-28 Changwan Hong , Laxman Dhulipala , Julian Shun
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