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Graph Neural Network (GNN) inference is used in many real-world applications. Data sparsity in GNN inference, including sparsity in the input graph and the GNN model, offer opportunities to further speed up inference. Also, many pruning…

分布式、并行与集群计算 · 计算机科学 2023-03-24 Bingyi Zhang , Viktor Prasanna

An algorithm for a family of self-starting high-order implicit time integration schemes with controllable numerical dissipation is proposed for both linear and nonlinear transient problems. This work builds on the previous works of the…

数值分析 · 数学 2024-09-23 Daniel O'Shea , Xiaoran Zhang , Shayan Mohammadian , Chongmin Song

The selective fixed-filter active noise control (SFANC) method selecting the best pre-trained control filters for various types of noise can achieve a fast response time. However, it may lead to large steady-state errors due to inaccurate…

系统与控制 · 电气工程与系统科学 2023-03-13 Zhengding Luo , Dongyuan Shi , Woon-Seng Gan

Deep Neural Networks (DNNs) excel in learning hierarchical representations from raw data, such as images, audio, and text. To compute these DNN models with high performance and energy efficiency, these models are usually deployed onto…

The increasing demand of dedicated accelerators to improve energy efficiency and performance has highlighted FPGAs as a promising option to deliver both. However, programming FPGAs in hardware description languages requires long time and…

硬件体系结构 · 计算机科学 2020-03-31 Maria A. Dávila-Guzmán , Rubén Gran Tejero , María Villarroya-Gaudó , Darío Suárez Gracia

We present an acceleration method for sequences of large-scale linear systems, such as the ones arising from the numerical solution of time-dependent partial differential equations coupled with algebraic constraints. We discuss different…

数值分析 · 数学 2024-03-29 Margherita Guido , Daniel Kressner , Paolo Ricci

Accurate simulations of various physical processes on digital computers requires huge computing performance, therefore accelerating these scientific and engineering applications has a great importance. Density of programmable logic devices…

性能 · 计算机科学 2014-08-26 Zoltan Nagy , Csaba Nemes , Antal Hiba , Arpad Csik , Andras Kiss , Miklos Ruszinko , Peter Szolgay

The Frank-Wolfe method is a popular method in sparse constrained optimization, due to its fast per-iteration complexity. However, the tradeoff is that its worst case global convergence is comparatively slow, and importantly, is…

最优化与控制 · 数学 2022-05-25 Zhaoyue Chen , Yifan Sun

Iterative algorithms based on thresholding, feedback and null space tuning (NST+HT+FB) for sparse signal recovery are exceedingly effective and fast, particularly for large scale problems. The core algorithm is shown to converge in finitely…

数值分析 · 数学 2017-11-08 Ningning Han , Shidong Li , Zhanjie Song , Hong Wang

Graph neural network (GNN) has gained increasing popularity in recent years owing to its capability and flexibility in modeling complex graph structure data. Among all graph learning methods, hypergraph learning is a technique for exploring…

机器学习 · 计算机科学 2024-12-31 Tiehua Zhang , Yuze Liu , Zhishu Shen , Xingjun Ma , Peng Qi , Zhijun Ding , Jiong Jin

The research in parallel machine scheduling in combinatorial optimization suggests that the desirable parallel efficiency could be achieved when the jobs are sorted in the non-increasing order of processing times. In this paper, we find…

数值分析 · 数学 2012-02-15 Lei Wang , Heng Liang , Fengshan Bai , Yan Huo

We present a novel fully implicit hybrid finite volume/finite element method for incompressible flows. Following previous works on semi-implicit hybrid FV/FE schemes, the incompressible Navier-Stokes equations are split into a pressure and…

数值分析 · 数学 2023-02-14 Alessia Lucca , Saray Busto , Michael Dumbser

This article presents a fast direct solver, termed Algebraic Inverse Fast Multipole Method (from now on abbreviated as AIFMM), for linear systems arising out of $N$-body problems. AIFMM relies on the following three main ideas: (i) Certain…

数值分析 · 数学 2023-01-31 Vaishnavi Gujjula , Sivaram Ambikasaran

The deployment of deep neural networks (DNNs) in privacy-sensitive environments is constrained by computational overheads in fully homomorphic encryption (FHE). This paper explores unstructured sparsity in FHE matrix multiplication schemes…

密码学与安全 · 计算机科学 2025-04-04 Aidan Ferguson , Perry Gibson , Lara D'Agata , Parker McLeod , Ferhat Yaman , Amitabh Das , Ian Colbert , José Cano

The recent trend of using Graphics Processing Units (GPU's) for high performance computations is driven by the high ratio of price performance for these units, complemented by their cost effectiveness. At first glance, computational fluid…

计算工程、金融与科学 · 计算机科学 2018-02-13 Kiril S. Shterev

The choice of numerical integrator in approximating solutions to dynamic partial differential equations depends on the smallest time-scale of the problem at hand. Large-scale deformations in elastic solids contain both shear waves and bulk…

数值分析 · 数学 2025-02-21 Edward M. Terrell , Boyce E. Griffith

As an effective emulator of ill-conditioned power flow, continuous Newton methods (CNMs) have been extensively investigated using explicit and implicit numerical integration algorithms. Explicit CNMs are prone to non-convergence issues due…

系统与控制 · 电气工程与系统科学 2024-12-02 Ruizhi Yu , Wei Gu , Yijun Xu , Shuai Lu , Suhan Zhang

The full approximation storage (FAS) scheme is a widely used multigrid method for nonlinear problems. In this paper, a new framework to design and analyze FAS-like schemes for convex optimization problems is developed. The new method, the…

数值分析 · 数学 2019-10-22 Long Chen , Xiaozhe Hu , Steven M. Wise

This work proposes a general strategy for solving possibly nonlinear problems arising from implicit time discretizations as a sequence of explicit solutions. The resulting sequence may exhibit instabilities similar to those of the base…

数值分析 · 数学 2025-10-21 Nicolas A. Barnafi , Felipe Galarce , Pablo Brubeck

Linear recurrent neural networks enable powerful long-range sequence modeling with constant memory usage and time-per-token during inference. These architectures hold promise for streaming applications at the edge, but deployment in…