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The training phases of Deep neural network~(DNN) consumes enormous processing time and energy. Compression techniques utilizing the sparsity of DNNs can effectively accelerate the inference phase of DNNs. However, it can be hardly used in…

机器学习 · 计算机科学 2018-12-17 Zhuoran Song , Ru Wang , Dongyu Ru , Hongru Huang , Zhenghao Peng , Jing Ke , Xiaoyao Liang , Li Jiang

Sparse linear regression methods including the well-known LASSO and the Dantzig selector have become ubiquitous in the engineering practice, including in medical imaging. Among other tasks, they have been successfully applied for the…

信号处理 · 电气工程与系统科学 2023-01-03 Anna Pidnebesna , Iveta Fajnerova , Jiri Horacek , Jaroslav Hlinka

We introduce the Sparsity Roofline, a visual performance model for evaluating sparsity in neural networks. The Sparsity Roofline jointly models network accuracy, sparsity, and theoretical inference speedup. Our approach does not require…

计算机视觉与模式识别 · 计算机科学 2023-11-08 Cameron Shinn , Collin McCarthy , Saurav Muralidharan , Muhammad Osama , John D. Owens

Sparse Matrix-Matrix Multiplication (SpMM) is a fundamental kernel across scientific computing and machine learning. While prior work accelerates SpMM using Tensor Cores, no existing sparse kernel exploits the asynchronous features of…

分布式、并行与集群计算 · 计算机科学 2026-04-21 Jie Liu , Huanzhi Pu , Zhiru Zhang

Combinations of spectroscopic analysis and microscopic techniques are used across many disciplines of scientific research, including material science, chemistry and biology. X-ray spectromicroscopy, in particular, is a powerful tool used…

医学物理 · 物理学 2023-10-17 Oliver Townsend , Silvia Gazzola , Sergey Dolgov , Paul Quinn

Sparse matrix multiplication is an important kernel for large-scale graph processing and other data-intensive applications. In this paper, we implement various asynchronous, RDMA-based sparse times dense (SpMM) and sparse times sparse…

分布式、并行与集群计算 · 计算机科学 2024-06-06 Benjamin Brock , Aydın Buluç , Katherine Yelick

In this study, we consider the numerical solution of large systems of linear equations obtained from the stochastic Galerkin formulation of stochastic partial differential equations. We propose an iterative algorithm that exploits the…

数值分析 · 数学 2016-05-18 Kookjin Lee , Howard C. Elman

Kernel matrices are crucial in many learning tasks such as support vector machines or kernel ridge regression. The kernel matrix is typically dense and large-scale. Depending on the dimension of the feature space even the computation of all…

机器学习 · 计算机科学 2023-12-04 Franziska Nestler , Martin Stoll , Theresa Wagner

Sparsity helps reduce the computational complexity of deep neural networks by skipping zeros. Taking advantage of sparsity is listed as a high priority in next generation DNN accelerators such as TPU. The structure of sparsity, i.e., the…

机器学习 · 计算机科学 2017-06-06 Huizi Mao , Song Han , Jeff Pool , Wenshuo Li , Xingyu Liu , Yu Wang , William J. Dally

High-throughput neural network inference requires coordinating many optimization decisions, including parallel tiling, microkernel selection, and data layout. The product of these decisions forms a search space of programs which is…

编程语言 · 计算机科学 2025-05-06 Samuel J. Kaufman , René Just , Rastislav Bodik

Current CNN-based super-resolution (SR) methods process all locations equally with computational resources being uniformly assigned in space. However, since missing details in low-resolution (LR) images mainly exist in regions of edges and…

计算机视觉与模式识别 · 计算机科学 2021-04-02 Longguang Wang , Xiaoyu Dong , Yingqian Wang , Xinyi Ying , Zaiping Lin , Wei An , Yulan Guo

Nonparametric methods are widely applicable to statistical inference problems, since they rely on a few modeling assumptions. In this context, the fresh look advocated here permeates benefits from variable selection and compressive…

机器学习 · 统计学 2015-03-19 Gonzalo Mateos , Georgios B. Giannakis

We propose RSO (random search optimization), a gradient free Markov Chain Monte Carlo search based approach for training deep neural networks. To this end, RSO adds a perturbation to a weight in a deep neural network and tests if it reduces…

机器学习 · 计算机科学 2020-05-13 Rohun Tripathi , Bharat Singh

Leveraging spatial sparsity has become a popular approach to accelerate 3D computer graphics applications. Spatially sparse data structures and efficient sparse kernels (such as parallel stencil operations on active voxels), are key to…

编程语言 · 计算机科学 2021-06-23 Yuanming Hu , Mingkuan Xu , Ye Kuang , Frédo Durand

We present new algorithms to detect and correct errors in the product of two matrices, or the inverse of a matrix, over an arbitrary field. Our algorithms do not require any additional information or encoding other than the original inputs…

符号计算 · 计算机科学 2018-02-08 Daniel S. Roche

Sparse tensors are the most used representation of sparse multidimensional data. Operations that decompose them, selecting their most important features while reducing their dimension, have become prevalent procedures in machine learning.…

分布式、并行与集群计算 · 计算机科学 2026-05-29 Daniel Pacheco , Leonel Sousa , Aleksandar Ilic

Most kernel-based methods, such as kernel or Gaussian process regression, kernel PCA, ICA, or $k$-means clustering, do not scale to large datasets, because constructing and storing the kernel matrix $\mathbf{K}_n$ requires at least…

机器学习 · 统计学 2018-03-28 Daniele Calandriello , Alessandro Lazaric , Michal Valko

Machine learning and artificial intelligence algorithms typically require large amount of data for training. This means that for nonlinear aeroelastic applications, where small training budgets are driven by the high computational burden…

流体动力学 · 物理学 2024-07-12 Michael Candon , Errol Hale , Maciej Balajewicz , Arturo Delgado-Gutierrez , Pier Marzocca

Sparse matrix vector multiplication (SpMV) is one of the most common operations in scientific and high-performance applications, and is often responsible for the application performance bottleneck. While the sparse matrix representation has…

数学软件 · 计算机科学 2018-05-31 Shizhao Chen , Jianbin Fang , Donglin Chen , Chuanfu Xu , Zheng Wang

We introduce a novel kernel learning framework toward efficiently solving nonlinear partial differential equations (PDEs). In contrast to the state-of-the-art kernel solver that embeds differential operators within kernels, posing…

机器学习 · 计算机科学 2025-06-09 Zhitong Xu , Da Long , Yiming Xu , Guang Yang , Shandian Zhe , Houman Owhadi