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We study the problem of estimating from data, a sparse approximation to the inverse covariance matrix. Estimating a sparsity constrained inverse covariance matrix is a key component in Gaussian graphical model learning, but one that is…

机器学习 · 统计学 2011-06-28 Suvrit Sra , Dongmin Kim

Spectral sparsification is a technique that is used to reduce the number of non-zero entries in a positive semidefinite matrix with little changes to its spectrum. In particular, the main application of spectral sparsification is to…

数据结构与算法 · 计算机科学 2021-04-13 Fabricio Mendoza-Granada , Marcos Villagra

Graph embedding aims at learning a vector-based representation of vertices that incorporates the structure of the graph. This representation then enables inference of graph properties. Existing graph embedding techniques, however, do not…

Machine learning (ML) approaches are increasingly being used to accelerate combinatorial optimization (CO) problems. We investigate the Set Cover Problem (SCP) and propose Graph-SCP, a graph neural network method that augments existing…

机器学习 · 计算机科学 2025-10-10 Zohair Shafi , Benjamin A. Miller , Tina Eliassi-Rad , Rajmonda S. Caceres

The independent set problem is NP-hard and particularly difficult to solve in large sparse graphs. In this work, we develop an advanced evolutionary algorithm, which incorporates kernelization techniques to compute large independent sets in…

数据结构与算法 · 计算机科学 2015-09-03 Sebastian Lamm , Peter Sanders , Christian Schulz , Darren Strash , Renato F. Werneck

Graph sparsification is a well-established technique for accelerating graph-based learning algorithms, which uses edge sampling to approximate dense graphs with sparse ones. Because the sparsification error is random and unknown, users must…

机器学习 · 计算机科学 2025-03-12 Siyao Wang , Miles E. Lopes

This paper presents a low-overhead optimizer for the ubiquitous sparse matrix-vector multiplication (SpMV) kernel. Architectural diversity among different processors together with structural diversity among different sparse matrices lead to…

性能 · 计算机科学 2017-11-16 Athena Elafrou , Georgios Goumas , Nektarios Koziris

The past few years have witnessed growth in the computational requirements for training deep convolutional neural networks. Current approaches parallelize training onto multiple devices by applying a single parallelization strategy (e.g.,…

机器学习 · 计算机科学 2018-06-12 Zhihao Jia , Sina Lin , Charles R. Qi , Alex Aiken

Variational formulations of reconstruction in computed tomography have the notable drawback of requiring repeated evaluations of both the forward Radon transform and either its adjoint or an approximate inverse transform which are…

数值分析 · 数学 2017-05-23 Richard C. Barnard , Rick Archibald

This paper presents GPU performance optimization and scaling results for inference models of the Sparse Deep Neural Network Challenge 2020. Demands for network quality have increased rapidly, pushing the size and thus the memory…

分布式、并行与集群计算 · 计算机科学 2020-09-04 Mert Hidayetoglu , Carl Pearson , Vikram Sharma Mailthody , Eiman Ebrahimi , Jinjun Xiong , Rakesh Nagi , Wen-Mei Hwu

Hypergraph matching is a fundamental problem in computer vision. Mathematically speaking, it maximizes a polynomial objective function, subject to assignment constraints. In this paper, we reformulate the hypergraph matching problem as a…

最优化与控制 · 数学 2017-11-15 Chunfeng Cui , Qingna Li , Liqun Qi , Hong Yan

The acceleration of sparse matrix computations on modern many-core processors, such as the graphics processing units (GPUs), has been recognized and studied over a decade. Significant performance enhancements have been achieved for many…

数学软件 · 计算机科学 2017-10-16 Ruipeng Li

Not only with the large host memory for supporting large scale graph processing, GPU-accelerated heterogeneous architecture can also provide a great potential for high-performance computing. However, few existing heterogeneous systems can…

分布式、并行与集群计算 · 计算机科学 2018-06-05 Xianliang Li

We aim to learn a sparse and connected graph from sparse data, where the number of observations K can be substantially smaller than the signal dimension N for signals x in R^N, and the underlying distribution is unknown. In this severely…

信号处理 · 电气工程与系统科学 2026-04-30 Bahar Oveisgharan , Gene Cheung , Andrew Eckford

We study the potential utility of classical techniques of spectral sparsification of graphs as a preprocessing step for digital quantum algorithms, in particular, for Hamiltonian simulation. Our results indicate that spectral sparsification…

量子物理 · 物理学 2019-10-08 Steven Herbert , Sathyawageeswar Subramanian

We demonstrate an FPGA implementation of a parallel and reconfigurable architecture for sparse neural networks, capable of on-chip training and inference. The network connectivity uses pre-determined, structured sparsity to significantly…

分布式、并行与集群计算 · 计算机科学 2019-04-29 Sourya Dey , Diandian Chen , Zongyang Li , Souvik Kundu , Kuan-Wen Huang , Keith M. Chugg , Peter A. Beerel

Sparse tensor algebra is challenging to efficiently parallelize due to the irregular, data-dependent, and potentially skewed structure of sparse computation. We propose the first partitioning algorithm that provably load balances the…

编程语言 · 计算机科学 2026-04-23 Atharva Chougule , Alexander J Root , Rubens Lacouture , Bobby Yan , Rohan Yadav , Fredrik Kjolstad

We present GraphTensor, a comprehensive open-source framework that supports efficient parallel neural network processing on large graphs. GraphTensor offers a set of easy-to-use programming primitives that appreciate both graph and neural…

硬件体系结构 · 计算机科学 2023-05-30 Junhyeok Jang , Miryeong Kwon , Donghyun Gouk , Hanyeoreum Bae , Myoungsoo Jung

We introduce an extension to the CLRS algorithmic learning benchmark, prioritizing scalability and the utilization of sparse representations. Many algorithms in CLRS require global memory or information exchange, mirrored in its execution…

机器学习 · 计算机科学 2023-11-21 Julian Minder , Florian Grötschla , Joël Mathys , Roger Wattenhofer

Fueled by the ability to mine real-world graph data, GNN applications have experienced phenomenal growth. Sparse Matrix-Matrix Multiplication (SpMM) is a critical operator in GNNs. However, existing SpMM designs for GNNs struggle to adapt…

分布式、并行与集群计算 · 计算机科学 2026-05-18 Lixing Zhang , Guanhua Ye , Hongzheng Li , Shigang Li , Yingxia Shao