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This paper introduces the Modular Neural Computer (MNC), a memory-augmented neural architecture for exact algorithmic computation on variable-length inputs. The model combines an external associative memory of scalar cells, explicit read…

机器学习 · 计算机科学 2026-03-17 Florin Leon

The success of modern parallel paradigms such as MapReduce, Hadoop, or Spark, has attracted a significant attention to the Massively Parallel Computation (MPC) model over the past few years, especially on graph problems. In this work, we…

分布式、并行与集群计算 · 计算机科学 2019-05-07 Soheil Behnezhad , Mahsa Derakhshan , MohammadTaghi Hajiaghayi , Richard M. Karp

Long-running service workloads (e.g. web search engine) and short-term data analysis workloads (e.g. Hadoop MapReduce jobs) co-locate in today's data centers. Developing realistic benchmarks to reflect such practical scenario of mixed…

分布式、并行与集群计算 · 计算机科学 2015-12-07 Rui Han , Shulin Zhan , Chenrong Shao , Junwei Wang , Lizy K. John , Jiangtao Xu , Gang Lu , Lei Wang

This paper presents a novel meta algorithm, Partition-Merge (PM), which takes existing centralized algorithms for graph computation and makes them distributed and faster. In a nutshell, PM divides the graph into small subgraphs using our…

数据结构与算法 · 计算机科学 2013-09-25 Vincent Blondel , Kyomin Jung , Pushmeet Kohli , Devavrat Shah

The Multilevel Monte Carlo (MLMC) method has proven to be an effective variance-reduction statistical method for Uncertainty Quantification (UQ) in Partial Differential Equation (PDE) models, combining model computations at different levels…

数学软件 · 计算机科学 2023-05-24 Santiago Badia , Jerrad Hampton , Javier Principe

We present a method for parallel block-sparse matrix-matrix multiplication on distributed memory clusters. By using a quadtree matrix representation, data locality is exploited without prior information about the matrix sparsity pattern. A…

分布式、并行与集群计算 · 计算机科学 2016-07-12 Emanuel H. Rubensson , Elias Rudberg

Bayesian modelling and computational inference by Markov chain Monte Carlo (MCMC) is a principled framework for large-scale uncertainty quantification, though is limited in practice by computational cost when implemented in the simplest…

统计计算 · 统计学 2020-09-21 Colin Fox , Tiangang Cui , Markus Neumayer

From natural language processing to genome sequencing, large-scale machine learning models are bringing advances to a broad range of fields. Many of these models are too large to be trained on a single machine, and instead must be…

机器学习 · 计算机科学 2023-02-01 Christopher W. F. Parsonson , Zacharaya Shabka , Alessandro Ottino , Georgios Zervas

Current high-performance computer systems used for scientific computing typically combine shared memory computational nodes in a distributed memory environment. Extracting high performance from these complex systems requires tailored…

分布式、并行与集群计算 · 计算机科学 2018-01-14 Afshin Zafari , Elisabeth Larsson , Martin Tillenius

Parallel machine scheduling has been extensively studied in the past decades, with applications ranging from production planning to job processing in large computing clusters. In this work we study some of these fundamental optimization…

数据结构与算法 · 计算机科学 2015-09-08 Yael Mordechai

This paper discusses the latest generation of the MONARC (MOdels of Networked Analysis at Regional Centers) simulation framework, as a design and modelling tool for large scale distributed systems applied to HEP experiments. A…

分布式、并行与集群计算 · 计算机科学 2011-06-28 Ciprian Dobre , Corina Stratan

The distributed optimization problem has become increasingly relevant recently. It has a lot of advantages such as processing a large amount of data in less time compared to non-distributed methods. However, most distributed approaches…

最优化与控制 · 数学 2024-03-27 Daniil Medyakov , Gleb Molodtsov , Aleksandr Beznosikov , Alexander Gasnikov

Efficient Reduce and AllReduce communication collectives are a critical cornerstone of high-performance computing (HPC) applications. We present the first systematic investigation of Reduce and AllReduce on the Cerebras Wafer-Scale Engine…

分布式、并行与集群计算 · 计算机科学 2024-09-04 Piotr Luczynski , Lukas Gianinazzi , Patrick Iff , Leighton Wilson , Daniele De Sensi , Torsten Hoefler

A MapReduce algorithm can be described by a mapping schema, which assigns inputs to a set of reducers, such that for each required output there exists a reducer that receives all the inputs that participate in the computation of this…

数据库 · 计算机科学 2016-10-21 Foto Afrati , Shlomi Dolev , Ephraim Korach , Shantanu Sharma , Jeffrey D. Ullman

Exascale computing will get mankind closer to solving important social, scientific and engineering problems. Due to high prototyping costs, High Performance Computing (HPC) system architects make use of simulation models for design space…

性能 · 计算机科学 2018-03-28 Alexandra Ferreron , Radhika Jagtap , Sascha Bischoff , Roxana Rusitoru

Restricted Boltzmann machines (RBMs) are powerful machine learning models, but learning and some kinds of inference in the model require sampling-based approximations, which, in classical digital computers, are implemented using expensive…

机器学习 · 统计学 2014-10-27 Vincent Dumoulin , Ian J. Goodfellow , Aaron Courville , Yoshua Bengio

Maximal Clique Enumeration (MCE) is a fundamental graph mining problem, and is useful as a primitive in identifying dense structures in a graph. Due to the high computational cost of MCE, parallel methods are imperative for dealing with…

分布式、并行与集群计算 · 计算机科学 2020-01-31 Apurba Das , Seyed-Vahid Sanei-Mehri , Srikanta Tirthapura

Consider a distributed computing system in which the worker nodes are connected over a shared wireless channel. Nodes can store a fraction of the data set over which computation needs to be carried out, and a Map-Shuffle-Reduce protocol is…

信息论 · 计算机科学 2018-10-29 Sukjong Ha , Jingjing Zhang , Osvaldo Simeone , Joonhyuk Kang

The study of approximate matching in the Massively Parallel Computations (MPC) model has recently seen a burst of breakthroughs. Despite this progress, however, we still have a far more limited understanding of maximal matching which is one…

数据结构与算法 · 计算机科学 2023-10-17 Soheil Behnezhad , MohammadTaghi Hajiaghayi , David G. Harris

Many of the classic graph problems cannot be solved in the Massively Parallel Computation setting (MPC) with strongly sublinear space per machine and $o(\log n)$ rounds, unless the 1-vs-2 cycles conjecture is false. This is true even on…

数据结构与算法 · 计算机科学 2022-11-22 Jacob Holm , Jakub Tětek