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The last decade has witnessed an explosion in the development of models, theory and computational algorithms for "big data" analysis. In particular, distributed computing has served as a natural and dominating paradigm for statistical…

Machine Learning · Statistics 2018-11-02 Bayan Saparbayeva , Michael Minyi Zhang , Lizhen Lin

To solve the big topic modeling problem, we need to reduce both time and space complexities of batch latent Dirichlet allocation (LDA) algorithms. Although parallel LDA algorithms on the multi-processor architecture have low time and space…

Machine Learning · Computer Science 2013-11-19 Jian-Feng Yan , Jia Zeng , Zhi-Qiang Liu , Yang Gao

Recently, various distributed strategies for large language model training have been proposed. However, these methods provided limited solutions for the trade-off between memory consumption and communication cost. In this paper, we rethink…

Machine Learning · Computer Science 2023-10-31 Chan Wu , Hanxiao Zhang , Lin Ju , Jinjing Huang , Youshao Xiao , Zhaoxin Huan , Siyuan Li , Fanzhuang Meng , Lei Liang , Xiaolu Zhang , Jun Zhou

A critical challenge for modern system design is meeting the overwhelming performance, storage, and communication bandwidth demand of emerging applications within a tightly bound power budget. As both the time and power, hence the energy,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-30 Ismail Akturk , Ulya R. Karpuzcu

Algorithms have two costs: arithmetic and communication. The latter represents the cost of moving data, either between levels of a memory hierarchy, or between processors over a network. Communication often dominates arithmetic and…

Numerical Analysis · Mathematics 2010-11-16 Grey Ballard , James Demmel , Ioana Dumitriu

The ability to express a program as a hierarchical composition of parts is an essential tool in managing the complexity of software and a key abstraction this provides is to separate the representation of data from the computation. Many…

Programming Languages · Computer Science 2012-10-04 James Hanlon , Simon J. Hollis , David May

Analog Ising machines (IMs) occupy an increasingly prominent area of computer architecture research, offering high-quality and low latency/energy solutions to intractable computing tasks. However, IMs have a fixed capacity, with little to…

Emerging Technologies · Computer Science 2026-03-03 Matthew X. Burns , Michael C. Huang

Classical optimization algorithms in machine learning often take a long time to compute when applied to a multi-dimensional problem and require a huge amount of CPU and GPU resource. Quantum parallelism has a potential to speed up machine…

Quantum Physics · Physics 2019-11-21 Venkat R. Dasari , Mee Seong Im , Lubjana Beshaj

This paper addresses the problem of parallelizing computations to study non-linear dynamics in large networks of non-locally coupled oscillators using heterogeneous computing resources. The proposed approach can be applied to a variety of…

Chaotic Dynamics · Physics 2025-07-04 Oleksandr Sudakov , Volodymyr Maistrenko

We study quantum communication protocols, in which the players' storage starts out in a state where one qubit is in a pure state, and all other qubits are totally mixed (i.e. in a random state), and no other storage is available (for…

Quantum Physics · Physics 2020-01-01 Hartmut Klauck , Debbie Lim

Running parallel applications requires special and expensive processing resources to obtain the required results within a reasonable time. Before parallelizing serial applications, some analysis is recommended to be carried out to decide…

Software Engineering · Computer Science 2011-03-30 Alaa Ismail Elnashar

We consider memoryless quantum communication protocols, where the two parties do not possess any memory besides their classical input and they take turns performing unitary operations on a pure quantum state that they exchange between them.…

Quantum Physics · Physics 2017-03-10 André Chailloux , Iordanis Kerenidis , Mathieu Laurière

We give lower bounds on the communication complexity required to solve several computational problems in a distributed-memory parallel machine, namely standard matrix multiplication, stencil computations, comparison sorting, and the Fast…

Data Structures and Algorithms · Computer Science 2013-09-24 Michele Scquizzato , Francesco Silvestri

This work addresses the problem of distributed computation of linearly separable functions, where a master node with access to $K$ datasets, employs $N$ servers to compute $L$ user-requested functions, each defined over the datasets.…

Information Theory · Computer Science 2025-09-30 K. K. Krishnan Namboodiri , Elizabath Peter , Derya Malak , Petros Elia

The growth in the use of computationally intensive statistical procedures, especially with Big Data, has necessitated the usage of parallel computation on diverse platforms such as multicore, GPU, clusters and clouds. However, slowdown due…

Computation · Statistics 2014-09-23 Norman Matloff

In the unit-cost comparison model, a black box takes an input two items and outputs the result of the comparison. Problems like sorting and searching have been studied in this model, and it has been generalized to include the concept of…

Data Structures and Algorithms · Computer Science 2020-04-29 Michael A. Bender , Mayank Goswami , Dzejla Mededovic , Pablo Montes , Kostas Tsichlas

As artificial intelligence systems spread to more diverse and larger tasks in many domains, the machine learning algorithms, and in particular the deep learning models and the databases required to train them are getting bigger themselves.…

Machine Learning · Computer Science 2019-04-22 Philippe Lacaille

To harness the full benefit of new computing platforms, it is necessary to develop software with parallel computing capabilities. This is no less true for statisticians than for astrophysicists. The R programming language, which is perhaps…

Computation · Statistics 2017-09-08 George Ostrouchov , Wei-Chen Chen , Drew Schmidt

Many large-scale scientific computations require eigenvalue solvers in a scaling regime where efficiency is limited by data movement. We introduce a parallel algorithm for computing the eigenvalues of a dense symmetric matrix, which…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-19 Edgar Solomonik , Grey Ballard , James Demmel , Torsten Hoefler

We study cost-effective communication strategies that can be used to improve the performance of distributed learning systems in resource-constrained environments. For distributed learning in sequential decision making, we propose a new…

Machine Learning · Computer Science 2020-04-15 Udari Madhushani , Naomi Ehrich Leonard
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