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Hand-optimizing linear algebra kernels for different GPU devices and applications is complex and labor-intensive. Instead, many developers use automatic performance tuning (autotuning) to achieve high performance on a variety of devices.…

Programming Languages · Computer Science 2025-07-22 Robert Hochgraf , Sreepathi Pai

Sparse tensors are rapidly becoming critical components of modern deep learning workloads. However, developing high-performance sparse operators can be difficult and tedious, and existing vendor libraries cannot satisfy the escalating…

Machine Learning · Computer Science 2023-02-22 Zihao Ye , Ruihang Lai , Junru Shao , Tianqi Chen , Luis Ceze

Support for lower precision computation is becoming more common in accelerator hardware due to lower power usage, reduced data movement and increased computational performance. However, computational science and engineering (CSE) problems…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-06 Jennifer A. Loe , Christian A. Glusa , Ichitaro Yamazaki , Erik G. Boman , Sivasankaran Rajamanickam

Sparse linear algebra is crucial in many application domains, but challenging to handle efficiently in both software and hardware, with one- and two-sided operand sparsity handled with distinct approaches. In this work, we enhance an…

Hardware Architecture · Computer Science 2023-10-03 Paul Scheffler , Florian Zaruba , Fabian Schuiki , Torsten Hoefler , Luca Benini

We present a unified framework to study graph kernels, special cases of which include the random walk graph kernel \citep{GaeFlaWro03,BorOngSchVisetal05}, marginalized graph kernel \citep{KasTsuIno03,KasTsuIno04,MahUedAkuPeretal04}, and…

Machine Learning · Computer Science 2010-11-30 S. V. N. Vishwanathan , Karsten M. Borgwardt , Imre Risi Kondor , Nicol N. Schraudolph

The first associations to software sustainability might be the existence of a continuous integration (CI) framework; the existence of a testing framework composed of unit tests, integration tests, and end-to-end tests; and also the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-19 Terry Cojean , Yu-Hsiang "Mike" Tsai , Hartwig Anzt

This work proposes a framework LGKDE that learns kernel density estimation for graphs. The key challenge in graph density estimation lies in effectively capturing both structural patterns and semantic variations while maintaining…

Machine Learning · Computer Science 2026-05-27 Xudong Wang , Ziheng Sun , Chris Ding , Jicong Fan

Matrices and more generally multidimensional arrays, form the backbone of computational studies. In this paper we demonstrate increases in computational efficiency by performing partial-tracing/tensor-contractions on sparse-arrays. It was…

Data Structures and Algorithms · Computer Science 2023-03-21 Julio Candanedo

In the kernel density estimation (KDE) problem, we are given a set $X$ of data points in $\mathbb{R}^d$, a kernel function $k: \mathbb{R}^d \times \mathbb{R}^d \rightarrow \mathbb{R}$, and a query point $\mathbf{q} \in \mathbb{R}^d$, and…

Data Structures and Algorithms · Computer Science 2025-07-03 Steinar Laenen , Peter Macgregor , He Sun

The Portable Extensible Toolkit for Scientific computation (PETSc) library delivers scalable solvers for nonlinear time-dependent differential and algebraic equations and for numerical optimization.The PETSc design for performance…

Graph neural networks (GNNs) are powerful tools for exploring and learning from graph structures and features. As such, achieving high-performance execution for GNNs becomes crucially important. Prior works have proposed to explore the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-30 Yangjie Zhou , Yaoxu Song , Jingwen Leng , Zihan Liu , Weihao Cui , Zhendong Zhang , Cong Guo , Quan Chen , Li Li , Minyi Guo

Decision forests induce supervised similarities through the partition structure of their trees. Yet forest proximity computation is still often treated as a quadratic operation in the number of samples, which limits scalability and…

Machine Learning · Computer Science 2026-04-21 Adrien Aumon , Guy Wolf , Kevin R. Moon , Jake S. Rhodes

Dense linear algebra kernels are critical for wireless applications, and the oncoming proliferation of 5G only amplifies their importance. Many such matrix algorithms are inductive, and exhibit ample amounts of fine-grain ordered…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-16 Jian Weng , Vidushi Dadu , Tony Nowatzki

We present xokde++, a state-of-the-art online kernel density estimation approach that maintains Gaussian mixture models input data streams. The approach follows state-of-the-art work on online density estimation, but was redesigned with…

Machine Learning · Computer Science 2016-06-10 Jaime Ferreira , David Martins de Matos , Ricardo Ribeiro

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

Programming high-performance sparse GPU kernels is notoriously difficult, requiring both substantial effort and deep expertise. Sparse compilers aim to simplify this process, but existing systems fall short in two key ways. First, they are…

Programming Languages · Computer Science 2025-10-21 Jaeyeon Won , Willow Ahrens , Joel S. Emer , Saman Amarasinghe

Joint image filters are used to transfer structural details from a guidance picture used as a prior to a target image, in tasks such as enhancing spatial resolution and suppressing noise. Previous methods based on convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2020-10-22 Beomjun Kim , Jean Ponce , Bumsub Ham

The kernel herding algorithm is used to construct quadrature rules in a reproducing kernel Hilbert space (RKHS). While the computational efficiency of the algorithm and stability of the output quadrature formulas are advantages of this…

Numerical Analysis · Mathematics 2022-07-18 Kazuma Tsuji , Ken'ichiro Tanaka

Sparse tensors are prevalent in many data-intensive applications, yet existing differentiable programming frameworks are tailored towards dense tensors. This presents a significant challenge for efficiently computing gradients through…

Programming Languages · Computer Science 2023-03-14 Amir Shaikhha , Mathieu Huot , Shideh Hashemian

Kernel means are frequently used to represent probability distributions in machine learning problems. In particular, the well known kernel density estimator and the kernel mean embedding both have the form of a kernel mean. Unfortunately,…

Machine Learning · Statistics 2015-03-03 E. Cruz Cortés , C. Scott
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