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In recent years a large number of problems have been considered in external memory models of computation, where the complexity measure is the number of blocks of data that are moved between slow external memory and fast internal memory…

数据结构与算法 · 计算机科学 2013-12-11 Lars Arge , Mikkel Thorup

The ability to extract relevant information is critical to learning. An ingenious approach as such is the information bottleneck, an optimisation problem whose solution corresponds to a faithful and memory-efficient representation of…

量子物理 · 物理学 2023-03-08 Masahito Hayashi , Yuxiang Yang

Leveraging large data sets, deep Convolutional Neural Networks (CNNs) achieve state-of-the-art recognition accuracy. Due to the substantial compute and memory operations, however, they require significant execution time. The massive…

分布式、并行与集群计算 · 计算机科学 2016-10-13 Chao Li , Yi Yang , Min Feng , Srimat Chakradhar , Huiyang Zhou

The ever increasing adoption of mobile devices with limited energy storage capacity, on the one hand, and more awareness of the environmental impact of massive data centres and server pools, on the other hand, have both led to an increased…

离散数学 · 计算机科学 2018-06-14 Rodrigo A. Carrasco , Garud Iyengar , Cliff Stein

Direct-summation N-body algorithms compute the gravitational interaction between stars in an exact way and have a computational complexity of O(N^2). Performance can be greatly enhanced via the use of special-purpose accelerator boards like…

We propose a novel approach to reduce memory consumption of the backpropagation through time (BPTT) algorithm when training recurrent neural networks (RNNs). Our approach uses dynamic programming to balance a trade-off between caching of…

神经与进化计算 · 计算机科学 2016-06-13 Audrūnas Gruslys , Remi Munos , Ivo Danihelka , Marc Lanctot , Alex Graves

This paper addresses the problem of scalable optimization for L1-regularized conditional Gaussian graphical models. Conditional Gaussian graphical models generalize the well-known Gaussian graphical models to conditional distributions to…

机器学习 · 统计学 2015-12-29 Calvin McCarter , Seyoung Kim

The transformer is the most critical algorithm innovation of the Nature Language Processing (NLP) field in recent years. Unlike the Recurrent Neural Network (RNN) models, Transformers can process on dimensions of sequence lengths in…

分布式、并行与集群计算 · 计算机科学 2021-02-23 Jiarui Fang , Yang Yu , Chengduo Zhao , Jie Zhou

In this paper, we address a long-standing challenge: how to achieve both efficiency and scalability in solving semidefinite programming problems. We propose breakthrough acceleration techniques for a wide range of low-rank…

最优化与控制 · 数学 2024-08-27 Qiushi Han , Zhenwei Lin , Hanwen Liu , Caihua Chen , Qi Deng , Dongdong Ge , Yinyu Ye

A new Combined Sieve algorithm is presented with cost proportional to the number of enumerated factors over a series of intervals. This algorithm achieves a significant speedup, over a traditional sieve, when handling many ([10^4, 10^7])…

数论 · 数学 2020-12-08 Seth Troisi

This paper develops a new class of algorithms for general linear systems and eigenvalue problems. These algorithms apply fast randomized sketching to accelerate subspace projection methods, such as GMRES and Rayleigh--Ritz. This approach…

数值分析 · 数学 2022-02-17 Yuji Nakatsukasa , Joel A. Tropp

Finding optimal solutions to combinatorial optimization problems is pivotal in both scientific and technological domains, within academic research and industrial applications. A considerable amount of effort has been invested in the…

统计力学 · 物理学 2024-12-13 Zi-Song Shen , Feng Pan , Yao Wang , Yi-Ding Men , Wen-Biao Xu , Man-Hong Yung , Pan Zhang

General Purpose Graphic Processing Unit(GPGPU) is used widely for achieving high performance or high throughput in parallel programming. This capability of GPGPUs is very famous in the new era and mostly used for scientific computing which…

分布式、并行与集群计算 · 计算机科学 2018-10-10 Vajira Thambawita , Roshan G. Ragel , Dhammike Elkaduwe

We propose a new (theoretical) computational model for the study of massive data processing with limited computational resources. Our model measures the complexity of reading the very large data sets in terms of the data size N and analyzes…

数据结构与算法 · 计算机科学 2020-03-09 Jianer Chen , Ying Guo , Qin Huang

The GEneral Matrix Multiplication (GEMM) is one of the essential algorithms in scientific computing. Single-thread GEMM implementations are well-optimised with techniques like blocking and autotuning. However, due to the complexity of…

分布式、并行与集群计算 · 计算机科学 2026-01-15 Yufan Xia , Marco De La Pierre , Amanda S. Barnard , Giuseppe Maria Junior Barca

In this paper, we describe our approach to develop a simulation software application for the fully kinetic Vlasov equation which will be used to explore physics beyond the gyrokinetic model. Simulating the fully kinetic Vlasov equation…

计算物理 · 物理学 2023-11-23 Nils Schild , Mario Raeth , Sebastian Eibl , Klaus Hallatschek , Katharina Kormann

In this paper, we look at the complexity of designing algorithms without any bank conflicts in the shared memory of Graphical Processing Units (GPUs). Given input of size $n$, $w$ processors and $w$ memory banks, we study three fundamental…

数据结构与算法 · 计算机科学 2015-07-07 Peyman Afshani , Nodari Sitchinava

Standard mixed-precision training of neural networks requires many bytes of accelerator memory for each model parameter. These bytes reflect not just the parameter itself, but also its gradient and one or more optimizer state variables.…

机器学习 · 计算机科学 2026-03-13 Jose Javier Gonzalez Ortiz , Abhay Gupta , Christopher Rinard , Davis Blalock

Deeply embedded systems often have the tightest constraints on energy consumption, requiring that they consume tiny amounts of current and run on batteries for years. However, they typically execute code directly from flash, instead of the…

其他计算机科学 · 计算机科学 2021-04-13 James Pallister , Kerstin Eder , Simon Hollis

Memcomputing is a novel paradigm of computation that utilizes dynamical elements with memory to both store and process information on the same physical location. Its building blocks can be fabricated in hardware with standard electronic…

新兴技术 · 计算机科学 2018-07-03 Forrest Sheldon , Pietro Cicotti , Fabio L. Traversa , Massimiliano Di Ventra