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The Fourier Transform is one of the most important linear transformations used in science and engineering. Cooley and Tukey's Fast Fourier Transform (FFT) from 1964 is a method for computing this transformation in time $O(n\log n)$.…

Computational Complexity · Computer Science 2015-04-16 Nir Ailon

Fast Fourier transform (FFT) of large number of samples requires huge hardware resources of field programmable gate arrays (FPGA), which needs more area and power. In this paper, we present an area efficient architecture of FFT processor…

Hardware Architecture · Computer Science 2015-02-26 Atin Mukherjee , Amitabha Sinha , Debesh Choudhury

Task parallelism research has traditionally focused on optimizing computation-intensive applications. Due to the proliferation of commodity parallel processors, there has been recent interest in supporting interactive applications. Such…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-20 Kyle Singer , Kunal Agrawal , I-Ting Angelina Lee

A method is presented for parallelizing the computation of solutions to discrete-time, linear-quadratic, finite-horizon optimal control problems, which we will refer to as LQR problems. This class of problem arises frequently in robotic…

Optimization and Control · Mathematics 2018-09-18 Forrest Laine , Claire Tomlin

For computational fluid dynamics (CFD) applications with a large number of grid points/cells, parallel computing is a common efficient strategy to reduce the computational time. How to achieve the best performance in the modern…

Performance · Computer Science 2018-03-12 Yong-Xian Wang , Li-Lun Zhang , Wei Liu , Xing-Hua Cheng , Yu Zhuang , Anthony T. Chronopoulos

FFTc is a Domain-Specific Language (DSL) for designing and generating Fast Fourier Transforms (FFT) libraries. The FFTc uniqueness is that it leverages and extend Multi-Level Intermediate Representation (MLIR) dialects to optimize FFT code…

Mathematical Software · Computer Science 2023-08-02 Yifei He , Artur Podobas , Stefano Markidis

DIFT (Dynamic Information Flow Tracking) has been a hot topic for more than a decade. Unfortunately, existing hardware DIFT approaches have not been widely used neither by research community nor by hardware vendors. It is due to two major…

Cryptography and Security · Computer Science 2018-12-05 Muhammad Abdul Wahab , Pascal Cotret , Mounir Nasr Allah , Guillaume Hiet , Arnab Kumar Biswas , Vianney Lapôtre , Guy Gogniat

Today's exponentially increasing data volumes and the high cost of storage make compression essential for the Big Data industry. Although research has concentrated on efficient compression, fast decompression is critical for analytics…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-03 Evangelia Sitaridi , Rene Mueller , Tim Kaldewey , Guy Lohman , Kenneth Ross

The Number Theoretic Transform (NTT) is a critical computational bottleneck in many lattice-based postquantum cryptographic (PQC) algorithms. By leveraging the Fast Fourier Transform (FFT) algorithm, the NTT of a polynomial of degree N - 1…

Cryptography and Security · Computer Science 2026-01-27 Mohammed Nabeel , Mahmoud Hafez , Michail Maniatakos

We propose efficient parallel algorithms and implementations on shared memory architectures of LU factorization over a finite field. Compared to the corresponding numerical routines, we have identified three main difficulties specific to…

Symbolic Computation · Computer Science 2014-02-17 Jean-Guillaume Dumas , Thierry Gautier , Clément Pernet , Ziad Sultan

Recent efforts to improve the performance of neural network (NN) accelerators that meet today's application requirements have given rise to a new trend of logic-based NN inference relying on fixed-function combinational logic (FFCL). This…

Hardware Architecture · Computer Science 2023-04-14 Jingkai Hong , Arash Fayyazi , Amirhossein Esmaili , Mahdi Nazemi , Massoud Pedram

Short TCP flows that are critical for many interactive applications in data centers are plagued by large flows and head-of-line blocking in switches. Hash-based load balancing schemes such as ECMP aggravate the matter and result in…

Networking and Internet Architecture · Computer Science 2016-11-18 Hong Xu , Baochun Li

As safety-critical applications increasingly rely on data-parallel floating-point computations, there is an increasing need for flexible and configurable fault tolerance in parallel floating-point accelerators such as tensor engines. While…

Hardware Architecture · Computer Science 2025-04-22 Philip Wiese , Maurus Item , Luca Bertaccini , Yvan Tortorella , Angelo Garofalo , Luca Benini

A novel addition to the family of integral transforms, the quadratic phase Fourier transform (QPFT) embodies a variety of signal processing tools, including the Fourier transform (FT), fractional Fourier transform (FRFT), linear canonical…

Functional Analysis · Mathematics 2024-02-20 Aamir Hamid Dar

As large graph processing emerges, we observe a costly fork-processing pattern (FPP) that is common in many graph algorithms. The unique feature of the FPP is that it launches many independent queries from different source vertices on the…

Databases · Computer Science 2021-04-13 Shengliang Lu , Shixuan Sun , Johns Paul , Yuchen Li , Bingsheng He

Many-particle continuous-time quantum walks (CTQWs) represent a resource for several tasks in quantum technology, including quantum search algorithms and universal quantum computation. In order to design and implement CTQWs in a realistic…

Quantum Physics · Physics 2017-10-02 Enrico Piccinini , Claudia Benedetti , Ilaria Siloi , Matteo G. A. Paris , Paolo Bordone

Convolutional neural networks are paramount in image and signal processing including the relevant classification and training tasks alike and constitute for the majority of machine learning compute demand today. With convolution operations…

Photonic computing has emerged as a promising platform for accelerating computational tasks with high degrees of parallelism, such as image processing and neural network. We present meta-DFT (discrete Fourier transform), a single layer…

The whole computer hardware industry embraced multicores. For these machines, the extreme optimisation of sequential algorithms is no longer sufficient to squeeze the real machine power, which can be only exploited via thread-level…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-09-21 Marco aldinucci , Salvatore Ruggieri , Massimo Torquati

This paper presents a new scalable parallelization scheme to generate the 3D Delaunay triangulation of a given set of points. Our first contribution is an efficient serial implementation of the incremental Delaunay insertion algorithm. A…

Computational Geometry · Computer Science 2018-11-07 Célestin Marot , Jeanne Pellerin , Jean-François Remacle