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Local Fourier analysis is a useful tool for predicting and analyzing the performance of many efficient algorithms for the solution of discretized PDEs, such as multigrid and domain decomposition methods. The crucial aspect of local Fourier…

最优化与控制 · 数学 2020-07-29 Jed Brown , Yunhui He , Scott MacLachlan , Matt Menickelly , Stefan M. Wild

Evaluating solutions to optimization problems is arguably the most important step for heuristic algorithms, as it is used to guide the algorithms towards the optimal solution in the solution search space. Research has shown evaluation…

神经与进化计算 · 计算机科学 2020-10-05 Patrick Kenekayoro

Routing problems are a class of combinatorial problems with many practical applications. Recently, end-to-end deep learning methods have been proposed to learn approximate solution heuristics for such problems. In contrast, classical…

机器学习 · 计算机科学 2021-12-06 Wouter Kool , Herke van Hoof , Joaquim Gromicho , Max Welling

Convex quadratic programs (QPs) are fundamental to numerous applications, including finance, engineering, and energy systems. Among the various methods for solving them, the Douglas-Rachford (DR) splitting algorithm is notable for its…

最优化与控制 · 数学 2025-08-19 Jinxin Xiong , Xi Gao , Linxin Yang , Jiang Xue , Xiaodong Luo , Akang Wang

CPU being considered a primary computer resource, its scheduling is central to operating-system design. A thorough performance evaluation of various scheduling algorithms manifests that Round Robin Algorithm is considered as optimal in time…

操作系统 · 计算机科学 2011-09-15 H. S. Behera , Rakesh Mohanty , Sabyasachi Sahu , Sourav Kumar Bhoi

Reverse engineering deep ReLU networks is a critical problem in understanding the complex behavior and interpretability of neural networks. In this research, we present a novel method for reconstructing deep ReLU networks by leveraging…

机器学习 · 计算机科学 2023-12-11 Mehrab Hamidi

While modern parallel computing systems offer high performance, utilizing these powerful computing resources to the highest possible extent demands advanced knowledge of various hardware architectures and parallel programming models.…

分布式、并行与集群计算 · 计算机科学 2018-05-03 Suejb Memeti , Sabri Pllana , Alecio Binotto , Joanna Kolodziej , Ivona Brandic

Software developed helps world a better place ranging from system software, open source, application software and so on. Software engineering does have neural network models applied to code suggestion, bug report summarizing and so on to…

软件工程 · 计算机科学 2021-10-27 Mahendran N

With the rise of smartphones and the internet-of-things, data is increasingly getting generated at the edge on local, personal devices. For privacy, latency and energy saving reasons, this shift is causing machine learning algorithms to…

机器学习 · 计算机科学 2021-04-29 Jiaqi Li , Ross Drummond , Stephen R. Duncan

High-performance tensor programs are crucial to guarantee efficient execution of deep neural networks. However, obtaining performant tensor programs for different operators on various hardware platforms is notoriously challenging.…

Interpretation of Deep Neural Networks (DNNs) training as an optimal control problem with nonlinear dynamical systems has received considerable attention recently, yet the algorithmic development remains relatively limited. In this work, we…

机器学习 · 计算机科学 2021-06-14 Guan-Horng Liu , Tianrong Chen , Evangelos A. Theodorou

Leveraging machine learning to facilitate the optimization process is an emerging field that holds the promise to bypass the fundamental computational bottleneck caused by classic iterative solvers in critical applications requiring…

机器学习 · 计算机科学 2022-07-18 Xinran Liu , Yuzhe Lu , Ali Abbasi , Meiyi Li , Javad Mohammadi , Soheil Kolouri

Deep learning has become the state-of-art tool in many applications, but the evaluation and training of deep models can be time-consuming and computationally expensive. The conditional computation approach has been proposed to tackle this…

机器学习 · 计算机科学 2016-01-11 Emmanuel Bengio , Pierre-Luc Bacon , Joelle Pineau , Doina Precup

This paper presents a novel hybrid approach that integrates linear programming (LP) within the loss function of an unsupervised machine learning model. By leveraging the strengths of both optimization techniques and machine learning, this…

机器学习 · 计算机科学 2025-04-21 Andrew Kiruluta , Andreas Lemos

Multilinear algebra kernel performance on modern massively-parallel systems is determined mainly by data movement. However, deriving data movement-optimal distributed schedules for programs with many high-dimensional inputs is a notoriously…

分布式、并行与集群计算 · 计算机科学 2022-06-17 Alexandros Nikolaos Ziogas , Grzegorz Kwasniewski , Tal Ben-Nun , Timo Schneider , Torsten Hoefler

Deep neural networks successfully pervaded many applications domains and are increasingly used in critical decision processes. Understanding their workings is desirable or even required to further foster their potential as well as to access…

机器学习 · 计算机科学 2019-04-10 Maximilian Alber

Low-rank matrix approximation is a fundamental tool in data analysis for processing large datasets, reducing noise, and finding important signals. In this work, we present a novel truncated LU factorization called Spectrum-Revealing LU…

数值分析 · 计算机科学 2017-08-21 David G. Anderson , Ming Gu

In modern engineering scenarios, there is often a strict upper bound on the number of algorithm iterations that can be performed within a given time limit. This raises the question of optimal algorithmic configuration for a fixed and finite…

最优化与控制 · 数学 2024-12-31 Yushun Zhang , Dmitry Rybin , Zhi-Quan Luo

For the past couple of decades, numerical optimization has played a central role in addressing wireless resource management problems such as power control and beamformer design. However, optimization algorithms often entail considerable…

信息论 · 计算机科学 2018-09-18 Haoran Sun , Xiangyi Chen , Qingjiang Shi , Mingyi Hong , Xiao Fu , Nicholas D. Sidiropoulos

We present a practical and powerful new framework for both unconstrained and constrained submodular function optimization based on discrete semidifferentials (sub- and super-differentials). The resulting algorithms, which repeatedly compute…

数据结构与算法 · 计算机科学 2013-08-13 Rishabh Iyer , Stefanie Jegelka , Jeff Bilmes