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Accurate hardware performance models are critical to efficient code generation. They can be used by compilers to make heuristic decisions, by superoptimizers as a minimization objective, or by autotuners to find an optimal configuration for…

We present a technique for automatically transforming kernel-based computations in disparate, nested loops into a fused, vectorized form that can reduce intermediate storage needs and lead to improved performance on contemporary hardware.…

Performance · Computer Science 2017-10-25 Jason Sewall , Simon J. Pennycook

We introduce tf_geometric, an efficient and friendly library for graph deep learning, which is compatible with both TensorFlow 1.x and 2.x. tf_geometric provides kernel libraries for building Graph Neural Networks (GNNs) as well as…

Machine Learning · Computer Science 2021-01-28 Jun Hu , Shengsheng Qian , Quan Fang , Youze Wang , Quan Zhao , Huaiwen Zhang , Changsheng Xu

Advancements in large language models (LLMs) are showing promising impact in software development and programming assistance. However, these models struggle when operating on low-level backend code. This challenge is exacerbated in the…

Software Engineering · Computer Science 2025-12-23 Muhammad Usman Tariq , Abhinav Jangda , Angelica Moreira , Madan Musuvathi , Tyler Sorensen

Machine learning (ML) workloads launch hundreds to thousands of short-running GPU kernels per iteration. With GPU compute throughput growing rapidly, CPU-side launch latency of kernels is emerging as a bottleneck. CUDA Graphs promise to…

Machine Learning · Computer Science 2025-12-24 Abhishek Ghosh , Ajay Nayak , Ashish Panwar , Arkaprava Basu

Physics-Informed Neural Networks promise to revolutionize science and engineering practice, by introducing domain-aware deep machine learning models into scientific computation. Several software suites have emerged to make the…

Mathematical Software · Computer Science 2021-03-31 Levi D. McClenny , Mulugeta A. Haile , Ulisses M. Braga-Neto

Neural Processes (NPs) are a rapidly evolving class of models designed to directly model the posterior predictive distribution of stochastic processes. Originally developed as a scalable alternative to Gaussian Processes (GPs), which are…

Machine Learning · Computer Science 2026-04-20 Daniel Jenson , Jhonathan Navott , Mengyan Zhang , Makkunda Sharma , Elizaveta Semenova , Seth Flaxman

NVIDIA Tensor Core is a mixed-precision matrix-matrix multiplication and addition computing unit, where the theoretical peak performance is more than 300 TFlop/s on NVIDIA A100 GPU. NVIDIA provides WMMA API for using Tensor Cores in custom…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-30 Hiroyuki Ootomo , Rio Yokota

Graphics Processing Units (GPUs) support dynamic voltage and frequency scaling (DVFS) in order to balance computational performance and energy consumption. However, there still lacks simple and accurate performance estimation of a given GPU…

Performance · Computer Science 2018-06-14 Qiang Wang , Xiaowen Chu

Machine Learning (ML) models execute several parallel computations including Generalized Matrix Multiplication, Convolution, Dropout, etc. These computations are commonly executed on Graphics Processing Units (GPUs), by dividing the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-15 Abhinav Jangda , Saeed Maleki , Maryam Mehri Dehnavi , Madan Musuvathi , Olli Saarikivi

Optimizing GPU kernels presents a significantly greater challenge for large language models (LLMs) than standard code generation tasks, as it requires understanding hardware architecture, parallel optimization strategies, and performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-16 Nina Wiedemann , Quentin Leboutet , Michael Paulitsch , Diana Wofk , Benjamin Ummenhofer

Kernel matrix-vector multiplication (KMVM) is a foundational operation in machine learning and scientific computing. However, as KMVM tends to scale quadratically in both memory and time, applications are often limited by these…

Numerical Analysis · Mathematics 2025-02-25 Robert Hu , Siu Lun Chau , Dino Sejdinovic , Joan Alexis Glaunès

Future computing systems, from handhelds to supercomputers, will undoubtedly be more parallel and heterogeneous than todays systems to provide more performance and energy efficiency. Thus, GPUs are increasingly being used to accelerate…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-18 Saeed Taheri , Apan Qasem , Martin Burtscher

Strong gravitational lensing is a powerful probe of cosmology and the dark matter distribution. Efficient lensing software is already a necessity to fully use its potential and the performance demands will only increase with the upcoming…

Instrumentation and Methods for Astrophysics · Physics 2019-02-12 Markus Rexroth , Christoph Schäfer , Gilles Fourestey , Jean-Paul Kneib

The considerable impact of Convolutional Neural Networks on many Artificial Intelligence tasks has led to the development of various high performance algorithms for the convolution operator present in this type of networks. One of these…

Inter-GPU communication has become a major bottleneck for modern AI workloads as models scale and improvements in hardware compute throughput outpace improvements in interconnect bandwidth. Existing systems mitigate this through…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-19 Stuart H. Sul , Simran Arora , Benjamin F. Spector , Christopher Ré

This chapter deals with kernel methods as a special class of techniques for surrogate modeling. Kernel methods have proven to be efficient in machine learning, pattern recognition and signal analysis due to their flexibility, excellent…

Numerical Analysis · Mathematics 2022-10-31 Gabriele Santin , Bernard Haasdonk

This paper presents a spectral element finite element scheme that efficiently solves elliptic problems on unstructured hexahedral meshes. The discrete equations are solved using a matrix-free preconditioned conjugate gradient algorithm. An…

Computational Engineering, Finance, and Science · Computer Science 2016-09-21 J. -F. Remacle , R. Gandham , T. Warburton

Topological features capture global geometric structure in imaging data, but practical adoption in deep learning requires both computational efficiency and differentiability. We present optimized GPU kernels for the Euler Characteristic…

Machine Learning · Computer Science 2025-10-24 Udit Saxena

GPUs have become indispensable in high-performance computing, machine learning, and many other domains. Efficiently utilizing the memory subsystem on GPUs is critical for maximizing computing power through massive parallelism. Analyzing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-28 Yanbo Zhao , Jinku Cui , Zecheng Li , Shuyin Jiao , Xu Liu , Jiajia Li
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