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The key common bottleneck in most stencil codes is data movement, and prior research has shown that improving data locality through optimisations that schedule across loops do particularly well. However, in many large PDE applications it is…

Performance · Computer Science 2017-11-30 Istvan Z Reguly , Gihan R Mudalige , Mike B Giles

High-availability of software systems requires automated handling of crashes in presence of errors. Failure-oblivious computing is one technique that aims to achieve high availability. We note that failure-obliviousness has not been studied…

Software Engineering · Computer Science 2021-11-12 Thomas Durieux , Youssef Hamadi , Zhongxing Yu , Benoit Baudry , Martin Monperrus

We examine several matrix layouts based on space-filling curves that allow for a cache-oblivious adaptation of parallel TU decomposition for rectangular matrices over finite fields. The TU algorithm of \cite{Dumas} requires index conversion…

Symbolic Computation · Computer Science 2016-12-20 Fatima K. Abu Salem , Mira Al Arab

Oblivious routing is a well-studied paradigm that uses static precomputed routing tables for selecting routing paths within a network. Existing oblivious routing schemes with polylogarithmic competitive ratio for general networks are…

Data Structures and Algorithms · Computer Science 2023-12-14 Gramoz Goranci , Monika Henzinger , Harald Räcke , Sushant Sachdeva , A. R. Sricharan

Oblivious routing is an attractive paradigm for large distributed systems in which centralized control and frequent reconfigurations are infeasible or undesired (e.g., costly). Over the last almost 20 years, much progress has been made in…

Networking and Internet Architecture · Computer Science 2018-12-27 Harald Räcke , Stefan Schmid

In areas as diverse as contemporary art, play structures, climbing equipment, and modular construction toys, we see the presence of building block-like polyhedral complexes, which are generalizations of the pieces in the game Tetris. We…

Combinatorics · Mathematics 2026-02-27 Bert Dobbelaere , Peter Kagey , Drake Thomas , Andrés R. Vindas-Meléndez

Polar code is a breakthrough in coding theory. Using list successive cancellation decoding with large list size L, polar codes can achieve excellent error correction performance. The L partial decoded vectors are stored in the path memory…

Information Theory · Computer Science 2018-05-10 ChenYang Xia , YouZhe Fan , Ji Chen , Chi-Ying Tsui

The present article studies combinatorial tilings of Euclidean or spherical spaces by polytopes, serving two main purposes: first, to survey some of the main developments in combinatorial space tiling; and second, to highlight some new and…

Metric Geometry · Mathematics 2010-05-24 Egon Schulte

A new variant of bit interleaved coded modulation (BICM) is proposed. In the new scheme, called Parallel BICM, L identical binary codes are used in parallel using a mapper, a newly proposed finite-length interleaver and a binary dither…

Information Theory · Computer Science 2010-08-18 Amir Ingber , Meir Feder

Multi-core architectures feature an intricate hierarchy of cache memories, with multiple levels and sizes. To adequately decompose an application according to the traits of a particular memory hierarchy is a cumbersome task that may be…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-20 Hervé Paulino , Nuno Delgado

A plane tiling consisting of congruent copies of a shape is isohedral provided that for any pair of copies, there exists a symmetry of the tiling mapping one copy to the other. We give a $O(n\log^2{n})$-time algorithm for deciding if a…

Computational Geometry · Computer Science 2016-03-10 Stefan Langerman , Andrew Winslow

Simple stencil codes are and remain an important building block in scientific computing. On shared memory nodes, they are traditionally parallelised through colouring or (recursive) tiling. New OpenMP versions alternatively allow users to…

Mathematical Software · Computer Science 2018-10-10 Benjamin Hazelwood , Tobias Weinzierl

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

The bit-reversed permutation is a famous task in signal processing and is key to efficient implementation of the fast Fourier transform. This paper presents optimized C++11 implementations of five extant methods for computing the…

Mathematical Software · Computer Science 2017-08-08 Christian Knauth , Boran Adas , Daniel Whitfield , Xuesong Wang , Lydia Ickler , Tim Conrad , Oliver Serang

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

Exactly solving multi-objective integer programming (MOIP) problems is often a very time consuming process, especially for large and complex problems. Parallel computing has the potential to significantly reduce the time taken to solve such…

Optimization and Control · Mathematics 2018-11-02 William Pettersson , Melih Ozlen

Block codes are typically not used for fading channels as soft decision decoding is computationally intensive and hard decision decoding results in performance loss. In this paper we propose a diversity preserving hard decision decoding…

Information Theory · Computer Science 2020-12-18 Aaqib A. Patel , Abdul Mateen Ahmed , Mohammed Zafar Ali Khan

Many computer systems for calculating the proper organization of memory are among the most critical issues. Using a tier cache memory (along with branching prediction) is an effective means of increasing modern multi-core processors'…

Networking and Internet Architecture · Computer Science 2021-05-21 Mohamed A. Hamada , Abdelrahman Abdallah

Manycore processors feature a high number of general-purpose cores designed to work in a multithreaded fashion. Recent manycore processors are kept coherent using scalable distributed directories. A paramount example is the Intel Mesh…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-12 Steve Kommrusch , Marcos Horro , Louis-Noël Pouchet , Gabriel Rodríguez , Juan Touriño

As secure processors such as Intel SGX (with hyperthreading) become widely adopted, there is a growing appetite for private analytics on big data. Most prior works on data-oblivious algorithms adopt the classical PRAM model to capture…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-01 Vijaya Ramachandran , Elaine Shi