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We propose a novel class of Gaussian processes (GPs) whose spectra have compact support, meaning that their sample trajectories are almost-surely band limited. As a complement to the growing literature on spectral design of covariance…

Machine Learning · Statistics 2019-09-17 Felipe Tobar

Portability is critical to ensuring high productivity in developing and maintaining scientific software as the diversity in on-node hardware architectures increases. While several programming models provide portability for diverse GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-08 Joshua H. Davis , Pranav Sivaraman , Joy Kitson , Konstantinos Parasyris , Harshitha Menon , Isaac Minn , Giorgis Georgakoudis , Abhinav Bhatele

We propose a set of benchmarks that specifically targets a major cause of performance degradation in high performance computing platforms: irregular access patterns. These benchmarks are meant to be used to asses the performance of…

Performance · Computer Science 2008-05-27 H. L. A. van der Spek , E. M. Bakker , H. A. G. Wijshoff

Emerging processor architectures such as GPUs and Intel MICs provide a huge performance potential for high performance computing. However developing software using these hardware accelerators introduces additional challenges for the…

Computational Physics · Physics 2016-09-21 Andreas Adelmann , Uldis Locans , Andreas Suter

Writing high-performance code requires significant expertise in the programming language, compiler optimizations, and hardware knowledge. This often leads to poor productivity and portability and is inconvenient for a non-programmer…

Performance · Computer Science 2020-09-01 Ajitesh Srivastava , Naifeng Zhang , Rajgopal Kannan , Viktor K. Prasanna

The Portable Extensible Toolkit for Scientific Computation (PETSc) library provides scalable solvers for nonlinear time-dependent differential and algebraic equations and for numerical optimization via the Toolkit for Advanced Optimization…

Deep networks are nowadays becoming popular in many computer vision and pattern recognition tasks. Among these networks, deep kernels are particularly interesting and effective, however, their computational complexity is a major issue…

Computer Vision and Pattern Recognition · Computer Science 2018-12-24 Hichem Sahbi

Kernel regression is a popular non-parametric fitting technique. It aims at learning a function which estimates the targets for test inputs as precise as possible. Generally, the function value for a test input is estimated by a weighted…

Machine Learning · Computer Science 2017-12-27 Rongqing Huang , Shiliang Sun

This paper presents new methodology for computationally efficient kernel density estimation. It is shown that a large class of kernels allows for exact evaluation of the density estimates using simple recursions. The same methodology can be…

Computation · Statistics 2019-11-12 David P. Hofmeyr

This paper examines the application of the Kernel Sum of Squares (KSOS) method for enhancing kernel learning from data, particularly in the context of dynamical systems. Traditional kernel-based methods, despite their theoretical soundness…

Machine Learning · Computer Science 2024-08-14 Daniel Lengyel , Panos Parpas , Boumediene Hamzi , Houman Owhadi

Gaussian processes are powerful models for probabilistic machine learning, but are limited in application by their $O(N^3)$ inference complexity. We propose a method for deriving parametric families of kernel functions with compact spatial…

Machine Learning · Computer Science 2020-06-09 Jarred Barber

In the era of artificial intelligence, convolutional neural networks (CNNs) are emerging as a powerful technique for computational imaging. They have shown superior quality for reconstructing fine textures from badly-distorted images and…

Neural and Evolutionary Computing · Computer Science 2021-04-20 Chao-Tsung Huang

Kernel methods have great promise for learning rich statistical representations of large modern datasets. However, compared to neural networks, kernel methods have been perceived as lacking in scalability and flexibility. We introduce a…

Machine Learning · Computer Science 2014-12-22 Zichao Yang , Alexander J. Smola , Le Song , Andrew Gordon Wilson

This paper introduces a novel kernel density estimator (KDE) based on the generalised exponential (GE) distribution, designed specifically for positive continuous data. The proposed GE KDE offers a mathematically tractable form that avoids…

Methodology · Statistics 2026-02-18 Laura M. Craig , Wagner Barreto-Souza

Analysis of large-scale sequential data has been one of the most crucial tasks in areas such as bioinformatics, text, and audio mining. Existing string kernels, however, either (i) rely on local features of short substructures in the…

Machine Learning · Computer Science 2019-12-02 Lingfei Wu , Ian En-Hsu Yen , Siyu Huo , Liang Zhao , Kun Xu , Liang Ma , Shouling Ji , Charu Aggarwal

Kernel methods are powerful tools in machine learning. Classical kernel methods are based on positive-definite kernels, which map data spaces into reproducing kernel Hilbert spaces (RKHS). For non-Euclidean data spaces, positive-definite…

Machine Learning · Computer Science 2024-07-31 Nathael Da Costa , Cyrus Mostajeran , Juan-Pablo Ortega , Salem Said

In this paper, we demonstrate a compiler that can optimize sparse and recurrent neural networks, both of which are currently outside of the scope of existing neural network compilers (sparse neural networks here stand for networks that can…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-11 Riyadh Baghdadi , Abdelkader Nadir Debbagh , Kamel Abdous , Fatima Zohra Benhamida , Alex Renda , Jonathan Elliott Frankle , Michael Carbin , Saman Amarasinghe

Large Language Models (LLMs) demand substantial computational resources, resulting in high energy consumption on GPUs. To address this challenge, we focus on Coarse-Grained Reconfigurable Arrays (CGRAs) as an effective alternative that…

Hardware Architecture · Computer Science 2025-12-02 Takuto Ando , Yu Eto , Ayumu Takeuchi , Yasuhiko Nakashima

Historically, the pursuit of efficient inference has been one of the driving forces behind research into new deep learning architectures and building blocks. Some recent examples include: the squeeze-and-excitation module, depthwise…

Computer Vision and Pattern Recognition · Computer Science 2019-11-25 Erich Elsen , Marat Dukhan , Trevor Gale , Karen Simonyan

Kernel-based clustering algorithm can identify and capture the non-linear structure in datasets, and thereby it can achieve better performance than linear clustering. However, computing and storing the entire kernel matrix occupy so large…

Machine Learning · Computer Science 2020-02-10 Li Chen , Shuisheng Zhou , Jiajun Ma
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