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To prepare images for better segmentation, we need preprocessing applications, such as smoothing, to reduce noise. In this paper, we present an enhanced computation method for smoothing 2D object in binary case. Unlike existing approaches,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-31 Ramzi Mahmoudi , Mohamed Akil

Stencil computations are widely used to simulate the change of state of physical systems across a multidimensional grid over multiple timesteps. The state-of-the-art techniques in this area fall into three groups: cache-aware tiled looping…

Data Structures and Algorithms · Computer Science 2021-05-17 Zafar Ahmad , Rezaul Chowdhury , Rathish Das , Pramod Ganapathi , Aaron Gregory , Yimin Zhu

Spatial computing devices have been shown to significantly accelerate stencil computations, but have so far relied on unrolling the iterative dimension of a single stencil operation to increase temporal locality. This work considers the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-12 Johannes de Fine Licht , Andreas Kuster , Tiziano De Matteis , Tal Ben-Nun , Dominic Hofer , Torsten Hoefler

Recent developments in High Level Synthesis tools have attracted software programmers to accelerate their high-performance computing applications on FPGAs. Even though it has been shown that FPGAs can compete with GPUs in terms of…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-16 Hamid Reza Zohouri , Artur Podobas , Satoshi Matsuoka

The fast marching method is well-known for its worst-case optimal computational complexity in solving the Eikonal equation, and has been employed in numerous scientific and engineering fields. However, it has barely benefited from…

Computational Physics · Physics 2018-11-02 Jianming Yang

Stencil computations are a fundamental kernel in scientific computing, critical for simulations in domains such as fluid dynamics and climate modeling. However, these computations are often memory-bound on traditional High-Performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-11 Elia Belli , Daniele De Sensi

We present efficient and scalable parallel algorithms for performing mathematical operations for low-rank tensors represented in the tensor train (TT) format. We consider algorithms for addition, elementwise multiplication, computing norms…

Numerical Analysis · Mathematics 2021-09-08 Hussam Al Daas , Grey Ballard , Peter Benner

Real-time trajectory optimization for nonlinear constrained autonomous systems is critical and typically performed by CPU-based sequential solvers. Specifically, reliance on global sparse linear algebra or the serial nature of dynamic…

Robotics · Computer Science 2026-03-13 Yilin Zou , Zhong Zhang , Maxime Robic , Fanghua Jiang

The paper is devoted to the development of a methodology for evaluating the scalability of compute-intensive iterative algorithms used in simulating complex physical processes on supercomputer systems. The proposed methodology is based on…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-14 Nadezhda A. Ezhova , Leonid B. Sokolinsky

Recent research has focused on accelerating stencil computations by exploiting emerging hardware like Tensor Cores. To leverage these accelerators, the stencil operation must be transformed to matrix multiplications. However, this…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-27 Qiqi GU , Chenpeng Wu , Heng Shi , Jianguo Yao

The paper describes several efficient parallel implementations of the one-sided hyperbolic Jacobi-type algorithm for computing eigenvalues and eigenvectors of Hermitian matrices. By appropriate blocking of the algorithms an almost ideal…

Numerical Analysis · Computer Science 2020-03-18 Sanja Singer , Sasa Singer , Vedran Novakovic , Davor Davidovic , Kresimir Bokulic , Aleksandar Uscumlic

Stochastic programming can be applied to consider uncertainties in energy system optimization models for capacity expansion planning. However, these models become increasingly large and time-consuming to solve, even without considering…

Optimization and Control · Mathematics 2025-08-15 Shima Sasanpour , Manuel Wetzel , Karl-Kiên Cao , Hans Christian Gils , Andrés Ramos

Stencil computation is one of the fundamental computing patterns in many application domains such as scientific computing and image processing. While there are promising studies that accelerate stencils on FPGAs, there lacks an automated…

Hardware Architecture · Computer Science 2022-08-24 Xingyu Tian , Zhifan Ye , Alec Lu , Licheng Guo , Yuze Chi , Zhenman Fang

We advocate the Loop-of-stencil-reduce pattern as a means of simplifying the implementation of data-parallel programs on heterogeneous multi-core platforms. Loop-of-stencil-reduce is general enough to subsume map, reduce, map-reduce,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-09-16 M. Aldinucci , M. Danelutto , M. Drocco , P. Kilpatrick , C. Misale , G. Peretti Pezzi , M. Torquati

We introduce a new, high-throughput, synchronous, distributed, data-parallel, stochastic-gradient-descent learning algorithm. This algorithm uses amortized inference in a compute-cluster-specific, deep, generative, dynamical model to…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-14 Michael Teng , Frank Wood

Standard gradient-based iteration algorithms for optimization, such as gradient descent and its various proximal-based extensions to nonsmooth problems, are known to converge slowly for ill-conditioned problems, sometimes requiring many…

Numerical Analysis · Mathematics 2026-03-24 G. H. M. Araújo , O. A. Krzysik , H. De Sterck

Stencil computations lie at the heart of many scientific and industrial applications. Unfortunately, stencil algorithms perform poorly on machines with cache based memory hierarchy, due to low re-use of memory accesses. This work shows that…

Mathematical Software · Computer Science 2022-04-11 Mathias Jacquelin , Mauricio Araya-Polo , Jie Meng

Current architectures are now equipped with matrix computation units designed to enhance AI and high-performance computing applications. Within these architectures, two fundamental instruction types are matrix multiplication and vector…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-04 Wenxuan Zhao , Liang Yuan , Baicheng Yan , Penghao Ma , Yunquan Zhang , Long Wang , Zhe Wang

Stencil computations are widely used in HPC applications. Today, many HPC platforms use GPUs as accelerators. As a result, understanding how to perform stencil computations fast on GPUs is important. While implementation strategies for…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-16 Ryuichi Sai , John Mellor-Crummey , Xiaozhu Meng , Mauricio Araya-Polo , Jie Meng

We propose a new hybrid topology optimization algorithm based on multigrid approach that combines the parallelization strategy of CPU using OpenMP and heavily multithreading capabilities of modern Graphics Processing Units (GPU). In…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-01 Arya Prakash Padhi , Souvik Chakraborty , Anupam Chakrabarti , Rajib Chowdhury