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We describe a methodology for designing efficient parallel and distributed scientific software. This methodology utilizes sequences of mechanizable algebra--based optimizing transformations. In this study, we apply our methodology to the…

Software Engineering · Computer Science 2008-11-18 Harry B. Hunt , Lenore R. Mullin , Daniel J. Rosenkrantz , James E. Raynolds

The fast Fourier transform, FFT, is a useful and prevalent algorithm in signal processing. It characterizes the spectral components of a signal, or is used in combination with other operations to perform more complex computations such as…

Signal Processing · Electrical Eng. & Systems 2017-11-08 Hani Nejadriahi , David HillerKuss , Jonathan K. George , Volker J. Sorger

In this work, we present two parallel algorithms for the large-scale discrete Fourier transform (DFT) on Tensor Processing Unit (TPU) clusters. The two parallel algorithms are associated with two formulations of DFT: one is based on the…

Mathematical Software · Computer Science 2020-12-15 Tianjian Lu , Yi-Fan Chen , Blake Hechtman , Tao Wang , John Anderson

Recently we presented TTC, a domain-specific compiler for tensor transpositions. Despite the fact that the performance of the generated code is nearly optimal, due to its offline nature, TTC cannot be utilized in all the application codes…

Mathematical Software · Computer Science 2017-05-12 Paul Springer , Tong Su , Paolo Bientinesi

Developing efficient parallel applications is critical to advancing scientific development but requires significant performance analysis and optimization. Performance analysis tools help developers manage the increasing complexity and scale…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-25 Onur Cankur , Aditya Tomar , Daniel Nichols , Connor Scully-Allison , Katherine E. Isaacs , Abhinav Bhatele

A simple least-squares optimisation enables the determination of the spectrum for irregularly sampled data that is readily reconstructed using an adjoint transformation of the Non-Uniform Fast Fourier Transform (NFFT). This is an…

Numerical Analysis · Mathematics 2024-02-28 Michael Sorochan Armstrong , José Carlos Pérez-Girón , José Camacho , Regino Zamora

Existing GPU libraries often struggle to fully exploit the parallel resources and on-chip memory (SRAM) of GPUs when chaining multiple GPU functions as individual kernels. While Kernel Fusion (KF) techniques like Horizontal Fusion (HF) and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-09 Oscar Amoros , Albert Andaluz , Johnny Nunez , Antonio J. Pena

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

Discrete cosine transform (DCT) and other Fourier-related transforms have broad applications in scientific computing. However, off-the-shelf high-performance multi-dimensional DCT (MD DCT) libraries are not readily available in parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-05 Zixuan Jiang , Jiaqi Gu , David Z. Pan

We describe our contribution as industrial stakeholders to the existing open-source GPU4PySCF project (https: //github.com/pyscf/gpu4pyscf), a GPU-accelerated Python quantum chemistry package. We have integrated GPU acceleration into other…

High-performance computing platforms are becoming more and more heterogeneous, which makes it very difficult for researchers and scientific software developers to keep up with the rapid changes on the hardware market. In this paper, the…

Mathematical Software · Computer Science 2018-09-27 Matthias Möller , Andrzej Jaeschke

LiteEFG is an efficient library with easy-to-use Python bindings, which can solve multiplayer extensive-form games (EFGs). LiteEFG enables the user to express computation graphs in Python to define updates on the game tree structure. The…

Computer Science and Game Theory · Computer Science 2024-07-31 Mingyang Liu , Gabriele Farina , Asuman Ozdaglar

TensorFlow is a popular cloud computing framework that targets machine learning applications. It separates the specification of application logic (in a dataflow graph) from the execution of the logic. TensorFlow's native runtime executes…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-27 Sam Whitlock , James Larus , Edouard Bugnion

TFDWT is an open-source Python library that allows the construction of TensorFlow Layers for Fast Discrete Wavelet Transform (DWT) and Inverse Discrete Wavelet Transform (IDWT) in end-to-end backpropagation learning networks. By definition,…

Signal Processing · Electrical Eng. & Systems 2025-04-08 Kishore K. Tarafdar , Vikram M. Gadre

Discrete Fourier transforms~(DFTs) over finite fields have widespread applications in digital communication and storage systems. Hence, reducing the computational complexities of DFTs is of great significance. Recently proposed cyclotomic…

Information Theory · Computer Science 2015-05-19 Xuebin Wu , Meghanad Wagh , Ning Chen , Zhiyuan Yan , Ying Wang

Multi-dimensional Fourier transforms are key mathematical building blocks that appear in a wide range of applications from materials science, physics, chemistry and even machine learning. Over the past years, a multitude of software…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-11 Doru Thom Popovici , Mauro del Ben , Osni Marques , Andrew Canning

Numerical simulations based on particle methods have been widely used in various fields including astrophysics. To date, simulation softwares have been developed by individual researchers or research groups in each field, with a huge amount…

Instrumentation and Methods for Astrophysics · Physics 2018-06-27 Daisuke Namekata , Masaki Iwasawa , Keigo Nitadori , Ataru Tanikawa , Takayuki Muranushi , Long Wang , Natsuki Hosono , Kentaro Nomura , Junichiro Makino

The pyFAI package has been designed to reduce X-ray diffraction images into powder diffraction curves to be further processed by scientists. This contribution describes how to convert an image into a radial profile using the Numpy package,…

Instrumentation and Methods for Astrophysics · Physics 2014-12-22 Jérôme Kieffer , Giannis Ashiotis

Performance analysis is a critical step in the oft-repeated, iterative process of performance tuning of parallel programs. Per-process, per-thread traces (detailed logs of events with timestamps) enable in-depth analysis of parallel program…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-15 Abhinav Bhatele , Rakrish Dhakal , Alexander Movsesyan , Aditya K. Ranjan , Onur Cankur

Fluent API is an object-oriented pattern for elegant APIs and embedded DSLs. A smart fluent API can enforce the API protocol or DSL syntax at compile time. As fluent API designs typically rely on function overloading, they are hard to…

Programming Languages · Computer Science 2023-03-13 Ori Roth , Yossi Gil