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Related papers: Kernel Operations on the GPU, with Autodiff, witho…

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Training Large Language Models (LLMs) efficiently at scale presents a formidable challenge, driven by their ever-increasing computational demands and the need for enhanced performance. In this work, we introduce Liger-Kernel, an…

Machine Learning · Computer Science 2025-01-27 Pin-Lun Hsu , Yun Dai , Vignesh Kothapalli , Qingquan Song , Shao Tang , Siyu Zhu , Steven Shimizu , Shivam Sahni , Haowen Ning , Yanning Chen

To address the absence of a universal standard interface for tensor operations, we introduce the Tensor Algebra Processing Primitives (TAPP), a C-based interface designed to decouple the application layer from hardware-specific…

Mathematical Software · Computer Science 2026-01-13 Jan Brandejs , Niklas Hörnblad , Edward F. Valeev , Alexander Heinecke , Jeff Hammond , Devin Matthews , Paolo Bientinesi

Custom CUDA kernel development is essential for maximizing GPU utilization in large-scale distributed LLM training and inference, yet manually writing kernels that jointly leverage both computation and communication remains a…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-04 Bodun Hu , Yoga Sri Varshan , Saurabh Agarwal , Aditya Akella

Efficient GPU execution of convolution operators is governed by memory-access efficiency, on-chip data reuse, and execution mapping rather than arithmetic throughput alone. This paper presents a controlled operator-level study of CUDA…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-30 Huriyeh Babak , Melanie Schaller

Tensor computations--in particular tensor contraction (TC)--are important kernels in many scientific computing applications. Due to the fundamental similarity of TC to matrix multiplication (MM) and to the availability of optimized…

Mathematical Software · Computer Science 2025-03-26 Devin A. Matthews

Quantum computing algorithms have been shown to produce performant quantum kernels for machine-learning classification problems. Here, we examine the performance of quantum kernels for regression problems of practical interest. For an…

Quantum Physics · Physics 2024-09-30 Xuyang Guo , Jun Dai , Roman V. Krems

Developing kernels for Processing-In-Memory (PIM) platforms poses unique challenges in data management and parallel programming on limited processing units. Although software development kits (SDKs) for PIM, such as the UPMEM SDK, provide…

Hardware Architecture · Computer Science 2025-10-21 Krystian Chmielewski , Jarosław Ławnicki , Uladzislau Lukyanau , Tadeusz Kobus , Maciej Maciejewski

Optimal use of computing resources requires extensive coding, tuning and benchmarking. To boost developer productivity in these time consuming tasks, we introduce the Experimental Linear Algebra Performance Studies framework (ELAPS), a…

Performance · Computer Science 2015-05-01 Elmar Peise , Paolo Bientinesi

With the advent of more powerful Quantum Computers, the need for larger Quantum Simulations has boosted. As the amount of resources grows exponentially with size of the target system Tensor Networks emerge as an optimal framework with which…

Storing and streaming high dimensional data for foundation model training became a critical requirement with the rise of foundation models beyond natural language. In this paper we introduce TensorBank, a petabyte scale tensor lakehouse…

Kernel matrix-vector product is ubiquitous in many science and engineering applications. However, a naive method requires $O(N^2)$ operations, which becomes prohibitive for large-scale problems. We introduce a parallel method that provably…

Mathematical Software · Computer Science 2021-04-30 Ruoxi Wang , Chao Chen , Jonghyun Lee , Eric Darve

This paper advocates for an intertwined design of the dense linear algebra software stack that breaks down the strict barriers between the high-level, blocked algorithms in LAPACK (Linear Algebra PACKage) and the low-level,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-01 Héctor Martínez , Sandra Catalán , Francisco D. Igual , José R. Herrero , Rafael Rodríguez-Sánchez , Enrique S. Quintana-Ortí

Last several years, GPUs are used to accelerate computations in many computer science domains. We focused on GPU accelerated Support Vector Machines (SVM) training with non-linear kernel functions. We had searched for all available GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-21 Jan Vanek , Josef Michalek , Josef Psutka

Improving GPU kernel efficiency is crucial for advancing AI systems. Recent work has explored leveraging large language models (LLMs) for GPU kernel generation and optimization. However, existing LLM-based kernel optimization pipelines…

Machine Learning · Computer Science 2026-03-12 Qitong Sun , Jun Han , Tianlin Li , Zhe Tang , Sheng Chen , Fei Yang , Aishan Liu , Xianglong Liu , Yang Liu

Tensor Cores have been an important unit to accelerate Fused Matrix Multiplication Accumulation (MMA) in all NVIDIA GPUs since Volta Architecture. To program Tensor Cores, users have to use either legacy wmma APIs or current mma APIs.…

Hardware Architecture · Computer Science 2022-11-29 Wei Sun , Ang Li , Tong Geng , Sander Stuijk , Henk Corporaal

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

Modern GPUs increasingly rely on specialized and asynchronous hardware units to deliver high performance. Yet these units are often underutilized because today's GPU software stacks still organize programming and execution around a…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-06 Zijian He , Adrian Sampson , Yiying Zhang , Zhiyuan Guo

TensorX is a Python library for prototyping, design, and deployment of complex neural network models in TensorFlow. A special emphasis is put on ease of use, performance, and API consistency. It aims to make available high-level components…

Machine Learning · Computer Science 2021-01-05 Davide Nunes , Luis Antunes

Tensor algebra lies at the core of computational science and machine learning. Due to its high usage, entire libraries exist dedicated to improving its performance. Conventional tensor algebra performance boosts focus on algorithmic…

Programming Languages · Computer Science 2022-08-16 Sathvik Redrouthu , Rishi Athavale

This paper proposes a versatile high-performance execution model, inspired by systolic arrays, for memory-bound regular kernels running on CUDA-enabled GPUs. We formulate a systolic model that shifts partial sums by CUDA warp primitives for…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-09 Peng Chen , Mohamed Wahib , Shinichiro Takizawa , Ryousei Takano , Satoshi Matsuoka