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We develop the basic building blocks of a frequency domain framework for drawing statistical inferences on the second-order structure of a stationary sequence of functional data. The key element in such a context is the spectral density…

Statistics Theory · Mathematics 2013-05-10 Victor M. Panaretos , Shahin Tavakoli

Distributed computing systems often consist of hundreds of nodes, executing tasks with different resource requirements. Efficient resource provisioning and task scheduling in such systems are non-trivial and require close monitoring and…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-10 Paul J. Pritz , Daniel Perez , Kin K. Leung

This report describes the newly added Julia interface to the NFFT3 library. We explain the multidimensional NFFT algorithm and basics of the interface. Furthermore, we go into detail about the different parameters and how to adjust them…

Mathematical Software · Computer Science 2018-10-24 Michael Schmischke

This paper presents a comprehensive exploration of Fast Fourier Transform (FFT) and linear convolution implementations, integrating both conventional methods and novel approaches leveraging the Bit Slicing Multiplier (BSM) technique. The…

Signal Processing · Electrical Eng. & Systems 2024-07-03 Aravind Kumar N , Hari Krishna S , Anita Angeline A

We introduce Diffuse, a system that dynamically performs task and kernel fusion in distributed, task-based runtime systems. The key component of Diffuse is an intermediate representation of distributed computation that enables the necessary…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-17 Rohan Yadav , Shiv Sundram , Wonchan Lee , Michael Garland , Michael Bauer , Alex Aiken , Fredrik Kjolstad

Efficiently modeling spatio-temporal (ST) physical processes and observations presents a challenging problem for the deep learning community. Many recent studies have concentrated on meticulously reconciling various advantages, leading to…

Artificial Intelligence · Computer Science 2024-06-04 Hao Wu , Yuxuan Liang , Wei Xiong , Zhengyang Zhou , Wei Huang , Shilong Wang , Kun Wang

Vertex-frequency analysis, particularly the windowed graph Fourier transform (WGFT), is a significant challenge in graph signal processing. Tight frame theories is known for its low computational complexity in signal reconstruction, while…

Signal Processing · Electrical Eng. & Systems 2024-12-31 Linbo Shang , Zhichao Zhang

This paper details the purpose, difficulties, theory, implementation, and results of developing a Fast Fourier Transform (FFT) using the prime factor algorithm on an embedded system. Many applications analyze the frequency content of…

Hardware Architecture · Computer Science 2025-01-22 Josh Vernon , D. G. Perera

Distributed AI and IoT applications increasingly execute across heterogeneous resources spanning end devices, edge/fog infrastructure, and cloud platforms, often under different administrative domains. Fluid Computing has emerged as a…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-13 Diego Cajaraville-Aboy , Ana Fernández-Vilas , Rebeca P. Díaz-Redondo , Manuel Fernández-Veiga , Pablo Picallo-López

Classical Density Functional Theory (DFT) is a statistical-mechanical framework to analyze fluids, which accounts for nanoscale fluid inhomogeneities and non-local intermolecular interactions. DFT can be applied to a wide range of…

Computational Engineering, Finance, and Science · Computer Science 2017-02-07 Andreas Nold , Benjamin D. Goddard , Peter Yatsyshin , Nikos Savva , Serafim Kalliadasis

Federated Learning (FL) enables collaborative model training across multiple clients while preserving data privacy. Traditional FL methods often use a global model to fit all clients, assuming that clients' data are independent and…

Machine Learning · Computer Science 2025-12-01 Dario Fenoglio , Mohan Li , Pietro Barbiero , Nicholas D. Lane , Marc Langheinrich , Martin Gjoreski

This paper presents FT-GAIA, a software-based fault-tolerant parallel and distributed simulation middleware. FT-GAIA has being designed to reliably handle Parallel And Distributed Simulation (PADS) models, which are needed to properly…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-28 Gabriele D'Angelo , Stefano Ferretti , Moreno Marzolla

General-purpose multiprocessors (as, in our case, Intel IvyBridge and Intel Haswell) increasingly add GPU computing power to the former multicore architectures. When used for embedded applications (for us, Synthetic aperture radar) with…

Mathematical Software · Computer Science 2015-06-01 Mohamed Amine Bergach , Emilien Kofman , Robert de Simone , Serge Tissot , Michel Syska

Stencil computations are widely used to simulate the change of state of physical systems across a multidimensional grid over multiple timesteps. The state-of-the-art techniques in this area fall into three groups: cache-aware tiled looping…

Data Structures and Algorithms · Computer Science 2021-05-17 Zafar Ahmad , Rezaul Chowdhury , Rathish Das , Pramod Ganapathi , Aaron Gregory , Yimin Zhu

Parallel dataflow systems are a central part of most analytic pipelines for big data. The iterative nature of many analysis and machine learning algorithms, however, is still a challenge for current systems. While certain types of bulk…

Databases · Computer Science 2012-08-02 Stephan Ewen , Kostas Tzoumas , Moritz Kaufmann , Volker Markl

The fractional Fourier transform (FrFT), a fundamental operation in physics that corresponds to a rotation of phase space by any angle, is also an indispensable tool employed in digital signal processing for noise reduction. Processing of…

A good parallelization strategy can significantly improve the efficiency or reduce the cost for the distributed training of deep neural networks (DNNs). Recently, several methods have been proposed to find efficient parallelization…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-12 Zhenkun Cai , Kaihao Ma , Xiao Yan , Yidi Wu , Yuzhen Huang , James Cheng , Teng Su , Fan Yu

Graph signal processing (GSP) facilitates the analysis of high-dimensional data on non-Euclidean domains by utilizing graph signals defined on graph vertices. In addition to static data, each vertex can provide continuous time-series…

Signal Processing · Electrical Eng. & Systems 2025-02-21 Tuna Alikaşifoğlu , Bünyamin Kartal , Eray Özgünay , Aykut Koç

As FPGAs gain popularity for on-demand application acceleration in data center computing, dynamic partial reconfiguration (DPR) has become an effective fine-grained sharing technique for FPGA multiplexing. However, current FPGA sharing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-30 Jianfeng Gu , Hao Wang , Xiaorang Guo , Martin Schulz , Michael Gerndt

Transformer is a deep learning language model widely used for natural language processing (NLP) services in datacenters. Among transformer models, Generative Pre-trained Transformer (GPT) has achieved remarkable performance in text…

Systems and Control · Electrical Eng. & Systems 2022-09-26 Seongmin Hong , Seungjae Moon , Junsoo Kim , Sungjae Lee , Minsub Kim , Dongsoo Lee , Joo-Young Kim
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