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Distributed storage systems for large-scale applications typically use replication for reliability. Recently, erasure codes were used to reduce the large storage overhead, while increasing data reliability. A main limitation of…

Information Theory · Computer Science 2014-05-06 Dimitris S. Papailiopoulos , Alexandros G. Dimakis

Clique tree conversion solves large-scale semidefinite programs by splitting an $n\times n$ matrix variable into up to $n$ smaller matrix variables, each representing a principal submatrix of up to $\omega\times\omega$. Its fundamental…

Optimization and Control · Mathematics 2020-05-26 Richard Y. Zhang , Javad Lavaei

An out-of-core stencil computation code handles large data whose size is beyond the capacity of GPU memory. Whereas, such an code requires streaming data to and from the GPU frequently. As a result, data movement between the CPU and GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-26 Jingcheng Shen , Xin Deng , Yifan Wu , Masao Okita , Fumihiko Ino

The Cerebras Wafer-Scale Engine (WSE) delivers performance at an unprecedented scale of over 900,000 compute units, all connected via a single-wafer on-chip interconnect. Initially designed for AI, the WSE architecture is also well-suited…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-27 Nicolai Stawinoga , David Katz , Anton Lydike , Justs Zarins , Nick Brown , George Bisbas , Tobias Grosser

Integer programming problems (IPs) are challenging to be solved efficiently due to the NP-hardness, especially for large-scale IPs. To solve this type of IPs, Large neighborhood search (LNS) uses an initial feasible solution and iteratively…

Optimization and Control · Mathematics 2022-11-22 Huigen Ye , Hongyan Wang , Hua Xu , Chengming Wang , Yu Jiang

We consider the problem of massive matrix multiplication, which underlies many data analytic applications, in a large-scale distributed system comprising a group of worker nodes. We target the stragglers' delay performance bottleneck, which…

Information Theory · Computer Science 2020-04-10 Qian Yu , Mohammad Ali Maddah-Ali , A. Salman Avestimehr

Although code generation for Convolution Neural Network (CNN) models has been extensively studied, performing efficient data slicing and parallelization for highly-constrai\-ned Multicore Neural Processor Units (NPUs) is still a challenging…

Performance · Computer Science 2023-04-07 Rafael Sousa , Marcio Pereira , Yongin Kwon , Taeho Kim , Namsoon Jung , Chang Soo Kim , Michael Frank , Guido Araujo

Packing and covering linear programs (PC-LPs) form an important class of linear programs (LPs) across computer science, operations research, and optimization. In 1993, Luby and Nisan constructed an iterative algorithm for approximately…

Data Structures and Algorithms · Computer Science 2018-02-28 Zeyuan Allen-Zhu , Lorenzo Orecchia

Semidefinite programs (SDP) are one of the most versatile frameworks in numerical optimization, serving as generalizations of many conic programs and as relaxations of NP-hard combinatorial problems. Their main drawback is their…

Optimization and Control · Mathematics 2022-02-28 Biel Roig-Solvas , Mario Sznaier

Lattice surgery is a leading approach for implementing fault-tolerant logical operations in surface code quantum computing, but compiling efficient lattice surgery layouts remains challenging. Existing compilers are largely circuit-centric…

Quantum Physics · Physics 2026-03-31 Junyu Zhou , Yuhao Liu , Ethan Decker , Justin Kalloor , Mathias Weiden , Kean Chen , Costin Iancu , Gushu Li

Spatially-coupled (SC) codes, known for their threshold saturation phenomenon and low-latency windowed decoding algorithms, are ideal for streaming applications and data storage systems. SC codes are constructed by partitioning an…

Information Theory · Computer Science 2021-09-21 Siyi Yang , Ahmed Hareedy , Robert Calderbank , Lara Dolecek

Parallel programming is emerging fast and intensive applications need more resources, so there is a huge demand for on-chip multiprocessors. Accessing L1 caches beside the cores are the fastest after registers but the size of private caches…

Performance · Computer Science 2016-09-27 Diman Zad Tootaghaj , Farshid Farhat

The paper demonstrates the optimization of the execution environment of a hybrid OpenMP+MPI computational fluid dynamics code (shallow water equation solver) on a cluster enabled with Intel Xeon Phi coprocessors. The discussion includes:…

Mathematical Software · Computer Science 2014-08-11 Andrey Vladimirov , Cliff Addison

Sparse Tensor Cores offer exceptional performance gains for AI workloads by exploiting structured 2:4 sparsity. However, their potential remains untapped for core scientific workloads such as stencil computations, which exhibit irregular…

Computational Engineering, Finance, and Science · Computer Science 2025-07-01 Qi Li , Kun Li , Haozhi Han , Liang Yuan , Junshi Chen , Yunquan Zhang , Yifeng Chen , Hong An , Ting Cao , Mao Yang

This report investigates the performance of the JOREK code on the Intel Knights Landing and Skylake processor architectures. The OpenMP scaling of the matrix construction part of the code was analyzed and improved synchronization methods…

Performance · Computer Science 2018-10-11 T. B. Fehér , M. Hölzl , G. Latu , G. T. A. Huijsmans

Sparse tiling is a technique to fuse loops that access common data, thus increasing data locality. Unlike traditional loop fusion or blocking, the loops may have different iteration spaces and access shared datasets through indirect memory…

Computational Engineering, Finance, and Science · Computer Science 2019-06-20 Fabio Luporini , Michael Lange , Christian T. Jacobs , Gerard J. Gorman , J. Ramanujam , Paul H. J. Kelly

Stencil computation is one of the most important kernels in various scientific computing. Nowadays, most Stencil-driven scientific computing still relies heavily on supercomputers, suffering from expensive access, poor scalability, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-16 Kun Li , Zhichun Li , Yuetao Chen , Zixuan Wang , Yiwei Zhang , Liang Yuan , Haipeng Jia , Yunquan Zhang , Ting Cao , Mao Yang

Optimization pipelines targeting polyhedral programs try to maximize the compute throughput. Traditional approaches favor reuse and temporal locality; while the communicated volume can be low, failure to optimize spatial locality may cause…

Programming Languages · Computer Science 2023-12-07 Corentin Ferry , Steven Derrien , Sanjay Rajopadhye

A graph spanner is a fundamental graph structure that faithfully preserves the pairwise distances in the input graph up to a small multiplicative stretch. The common objective in the computation of spanners is to achieve the best-known…

Data Structures and Algorithms · Computer Science 2019-02-25 Merav Parter , Ronitt Rubinfeld , Ali Vakilian , Anak Yodpinyanee

To improve the utility of learning applications and render machine learning solutions feasible for complex applications, a substantial amount of heavy computations is needed. Thus, it is essential to delegate the computations among several…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-29 Homa Esfahanizadeh , Alejandro Cohen , Muriel Medard