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Numerical methods such as the Finite Element Method (FEM) have been successfully adapted to utilize the computational power of GPU accelerators. However, much of the effort around applying FEM to GPU's has been focused on high-order FEM due…

We integrate random sketching techniques into block orthogonalization schemes needed for s-step GMRES. The resulting block orthogonalization schemes generate the basis vectors whose overall orthogonality error is bounded by machine…

Numerical Analysis · Mathematics 2025-10-01 Ichitaro Yamazaki , Andrew J. Higgins , Erik G. Boman , Daniel B. Szyld

Lattice structures have been widely used in applications due to their superior mechanical properties. To fabricate such structures, a geometric processing step called triangulation is often employed to transform them into the STL format…

Computational Geometry · Computer Science 2025-02-25 Qiang Zou , Yunzhu Gao

The challenge of mapping AI architectures to GPU hardware is creating a critical bottleneck in AI progress. Despite substantial efforts, hand-written custom kernels fail to meet their theoretical performance thresholds, even on…

Machine Learning · Computer Science 2024-10-29 Benjamin F. Spector , Simran Arora , Aaryan Singhal , Daniel Y. Fu , Christopher Ré

In-memory database query processing frequently involves substantial data transfers between the CPU and memory, leading to inefficiencies due to Von Neumann bottleneck. Processing-in-Memory (PIM) architectures offer a viable solution to…

Neural Radiance Fields (NeRF) enables 3D scene reconstruction from several 2D images but incurs high rendering latency via its point-sampling design. 3D Gaussian Splatting (3DGS) improves on NeRF with explicit scene representation and an…

Hardware Architecture · Computer Science 2026-04-07 Haomin Li , Bowen Zhu , Fangxin Liu , Zongwu Wang , Xinran Liang , Li Jiang , Haibing Guan

Tensor operations are surging as the computational building blocks for a variety of scientific simulations and the development of high-performance kernels for such operations is known to be a challenging task. While for operations on one-…

Mathematical Software · Computer Science 2014-10-02 Elmar Peise , Diego Fabregat-Traver , Paolo Bientinesi

In this paper, we present a novel massively parallel algorithm for accelerating the decision tree building procedure on GPUs (Graphics Processing Units), which is a crucial step in Gradient Boosted Decision Tree (GBDT) and random forests…

Machine Learning · Statistics 2017-06-27 Huan Zhang , Si Si , Cho-Jui Hsieh

Fourier Neural Operators (FNO) are widely used for learning partial differential equation solution operators. However, FNO lacks architecture-aware optimizations,with its Fourier layers executing FFT, filtering, GEMM, zero padding, and iFFT…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-17 Shixun Wu , Yujia Zhai , Huangliang Dai , Hairui Zhao , Yue Zhu , Haiyang Hu , Zizhong Chen

Unpaired image translation algorithms can be used for sim2real tasks, but many fail to generate temporally consistent results. We present a new approach that combines differentiable rendering with image translation to achieve temporal…

Computer Vision and Pattern Recognition · Computer Science 2022-12-16 Ryan Burgert , Jinghuan Shang , Xiang Li , Michael Ryoo

The availability of graph data with node attributes that can be either discrete or real-valued is constantly increasing. While existing kernel methods are effective techniques for dealing with graphs having discrete node labels, their…

Machine Learning · Computer Science 2024-10-30 Giovanni Da San Martino , Nicolò Navarin , Alessandro Sperduti

Deep Neural Networks (DNNs) have revolutionized various fields, but their deployment on GPUs often leads to significant energy consumption. Unlike existing methods for reducing GPU energy consumption, which are either hardware-inflexible or…

Performance · Computer Science 2024-12-02 Yijia Zhang , Zhihong Gou , Shijie Cao , Weigang Feng , Sicheng Zhang , Guohao Dai , Ningyi Xu

3D Gaussian Splatting (3DGS) based Simultaneous Localization and Mapping (SLAM) systems can largely benefit from 3DGS's state-of-the-art rendering efficiency and accuracy, but have not yet been adopted in resource-constrained edge devices…

Hardware Architecture · Computer Science 2025-10-10 Leshu Li , Jiayin Qin , Jie Peng , Zishen Wan , Huaizhi Qu , Ye Han , Pingqing Zheng , Hongsen Zhang , Yu Cao , Tianlong Chen , Yang Katie Zhao

To enable heterogeneous computing systems with autonomous programming and optimization capabilities, we propose a unified, end-to-end, programmable graph representation learning (PGL) framework that is capable of mining the complexity of…

Machine Learning · Computer Science 2022-04-27 Yao Xiao , Guixiang Ma , Nesreen K. Ahmed , Mihai Capota , Theodore Willke , Shahin Nazarian , Paul Bogdan

AI models are increasing in size and recent advancement in the community has shown that unlike HPC applications where double precision datatype are required, lower-precision datatypes such as fp8 or int4 are sufficient to bring the same…

Performance · Computer Science 2023-10-11 Saeed Maleki

While it is well-known and acknowledged that the performance of graph algorithms is heavily dependent on the input data, there has been surprisingly little research to quantify and predict the impact the graph structure has on performance.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-04 Merijn Verstraaten , Ana Lucia Varbanescu , Cees de Laat

Temporal Graph Neural Networks (TGNNs) have emerged as powerful tools for modeling dynamic interactions across various domains. The design space of TGNNs is notably complex, given the unique challenges in runtime efficiency and scalability…

Machine Learning · Computer Science 2024-12-31 Yuxin Yang , Hongkuan Zhou , Rajgopal Kannan , Viktor Prasanna

We present a Pseudo-Transient Topology Optimization (PeTTO) approach that can leverage graphics processing units (GPUs) to efficiently solve single-material and multi-material topology optimization problems. By integrating PeTTO with phase…

Numerical Analysis · Mathematics 2025-09-10 Mingyuan Yang , Qian Yu , Chao Yang

Automated tuning of compute kernels is a popular area of research, mainly focused on finding optimal kernel parameters for a problem with fixed input sizes. This approach is good for deploying machine learning models, where the network…

Machine Learning · Computer Science 2020-03-17 John Lawson

Adjacent GEMM problems that differ by a single 128-element step in N can show 30% different throughput on the same GPU. This pervasive performance ruggedness - invisible to roofline analysis and peak-FLOPs intuition, yet dominant for every…

Performance · Computer Science 2026-05-29 Aditya Chatterjee