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This work proposes a new approach for mapping GPU threads onto a family of discrete embedded 2D fractals. A block-space map $\lambda: \mathbb{Z}_{\mathbb{E}}^{2} \mapsto \mathbb{Z}_{\mathbb{F}}^{2}$ is proposed, from Euclidean parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-29 Cristóbal A. Navarro , Felipe A. Quezada , Nancy Hitschfeld , Raimundo Vega , Benjamin Bustos

There is a stage in the GPU computing pipeline where a grid of thread-blocks, in \textit{parallel space}, is mapped onto the problem domain, in \textit{data space}. Since the parallel space is restricted to a box type geometry, the mapping…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-09-07 Cristóbal A. Navarro , Benjamín Bustos , Nancy Hitschfeld

The problem of parallel thread mapping is studied for the case of discrete orthogonal $m$-simplices. The possibility of a $O(1)$ time recursive block-space map $\lambda: \mathbb{Z}^m \mapsto \mathbb{Z}^m$ is analyzed from the point of view…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-25 Cristóbal A. Navarro , Benjamín Bustos , Nancy Hitscheld

There is a stage in the GPU computing pipeline where a grid of thread-blocks is mapped to the problem domain. Normally, this grid is a k-dimensional bounding box that covers a k-dimensional problem no matter its shape. Threads that fall…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-27 Cristobal A. Navarro , Nancy Hitschfeld

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

Massive multi-threading in GPU imposes tremendous pressure on memory subsystems. Due to rapid growth in thread-level parallelism of GPU and slowly improved peak memory bandwidth, the memory becomes a bottleneck of GPU's performance and…

Hardware Architecture · Computer Science 2019-06-17 Bing Li , Mengjie Mao , Xiaoxiao Liu , Tao Liu , Zihao Liu , Wujie Wen , Yiran Chen , Hai , Li

The study of data-parallel domain re-organization and thread-mapping techniques are relevant topics as they can increase the efficiency of GPU computations when working on spatial discrete domains with non-box-shaped geometry. In this work…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-30 Cristóbal A. Navarro , Benjamín Bustos , Nancy Hitschfeld

Fast domain propagation of linear constraints has become a crucial component of today's best algorithms and solvers for mixed integer programming and pseudo-boolean optimization to achieve peak solving performance. Irregularities in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-26 Boro Sofranac , Ambros Gleixner , Sebastian Pokutta

Heterogeneous MPSoCs comprise diverse processing units of varying compute capabilities. To date, the mapping strategies of neural networks (NNs) onto such systems are yet to exploit the full potential of processing parallelism, made…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-28 Halima Bouzidi , Mohanad Odema , Hamza Ouarnoughi , Smail Niar , Mohammad Abdullah Al Faruque

Large scale-free graphs are famously difficult to process efficiently: the skewed vertex degree distribution makes it difficult to obtain balanced partitioning. Our research instead aims to turn this into an advantage by partitioning the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-05 Scott Sallinen , Abdullah Gharaibeh , Matei Ripeanu

Due to their highly parallel multi-cores architecture, GPUs are being increasingly used in a wide range of computationally intensive applications. Compared to CPUs, GPUs can achieve higher performances at accelerating the programs'…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-05 Frédéric Magoulès , Abal-Kassim Cheik Ahamed , Alban Desmaison , Jean-Christophe Léchenet , François Mayer , Haifa Ben Salem , Thomas Zhu

This work studies the problem of GPU thread mapping for a Sierpi\'nski gasket fractal embedded in a discrete Euclidean space of $n \times n$. A block-space map $\lambda: \mathbb{Z}_{\mathbb{E}}^{2} \mapsto \mathbb{Z}_{\mathbb{F}}^{2}$ is…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-15 Cristóbal A. Navarro , Benjamín Bustos , Raimundo Vega , Nancy Hitschfeld

Sparse Matrix-Matrix Multiplication (SpMM) is a fundamental operation in graph computing and analytics. However, the irregularity of real-world graphs poses significant challenges to achieving efficient SpMM operation for graph data on…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-13 Zhonggen Li , Xiangyu Ke , Yifan Zhu , Yunjun Gao , Yaofeng Tu

Modeling data sharing in GPU programs is a challenging task because of the massive parallelism and complex data sharing patterns provided by GPU architectures. Better GPU caching efficiency can be achieved through careful task scheduling…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-04 Lingda Li , Ari B. Hayes , Stephen A. Hackler , Eddy Z. Zhang , Mario Szegedy , Shuaiwen Leon Song

Graphics Processing Units (GPUs) consisting of Streaming Multiprocessors (SMs) achieve high throughput by running a large number of threads and context switching among them to hide execution latencies. The number of thread blocks, and hence…

Hardware Architecture · Computer Science 2015-06-08 Vishwesh Jatala , Jayvant Anantpur , Amey Karkare

Spatial Branch and Bound (B&B) algorithms are widely used for solving nonconvex problems to global optimality, yet they remain computationally expensive. Though some works have been carried out to speed up B&B via CPU parallelization, GPU…

Optimization and Control · Mathematics 2025-07-29 Hongzhen Zhang , Tim Kerkenhoff , Neil Kichler , Manuel Dahmen , Alexander Mitsos , Uwe Naumann , Dominik Bongartz

We introduce FastGraph, a novel GPU-optimized k-nearest neighbor algorithm specifically designed to accelerate graph construction in low-dimensional spaces (2-10 dimensions), critical for high-performance graph neural networks. Our method…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-14 Aarush Agarwal , Raymond He , Jan Kieseler , Matteo Cremonesi , Shah Rukh Qasim

Large-scale graph processing has drawn great attention in recent years. Most of the modern-day datacenter workloads can be represented in the form of Graph Processing such as MapReduce etc. Consequently, a lot of designs for Domain-Specific…

Hardware Architecture · Computer Science 2022-09-07 Khushal Sethi

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

This work presents Squeeze, an efficient compact fractal processing scheme for tensor core GPUs. By combining discrete-space transformations between compact and expanded forms, one can do data-parallel computation on a fractal with…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-04 Felipe A. Quezada , Cristóbal A. Navarro , Nancy Hitschfeld , Benjamin Bustos
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