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We present a new approach to fault tolerance for High Performance Computing system. Our approach is based on a careful adaptation of the Algorithmic Based Fault Tolerance technique (Huang and Abraham, 1984) to the need of parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-06-20 George Bosilca , Remi Delmas , Jack Dongarra , Julien Langou

Standard library implementations of functions like sin and exp optimize for accuracy, not speed, because they are intended for general-purpose use. But applications tolerate inaccuracy from cancellation, rounding error, and…

Mathematical Software · Computer Science 2021-07-14 Ian Briggs , Pavel Panchekha

Stateflow models are widely used in the industry to model the high-level control logic of Cyber-Physical Systems (CPSs) in Simulink--the defacto CPS simulator. Many approaches exist to test Simulink models, but once a fault is detected, the…

Software Engineering · Computer Science 2024-04-09 Aitor Arrieta , Pablo Valle , Shaukat Ali

The existing deep learning (DL)-based automated program repair (APR) models are limited in fixing general software defects. % We present {\tool}, a DL-based approach that supports fixing for the general bugs that require dependent changes…

Software Engineering · Computer Science 2022-05-05 Yi Li , Shaohua Wang , Tien N. Nguyen

Finite precision computations using digital computers involve the following inherent errors: (1) Round-off error of finite precision computations (2) Binary computer arithmetic precludes exact number representation of traditional decimal…

Computational Physics · Physics 2007-05-23 Suvarna Fadnavis

Floating point error is a drawback of embedded systems implementation that is difficult to avoid. Computing rigorous upper bounds of roundoff errors is absolutely necessary for the validation of critical software. This problem of computing…

Numerical Analysis · Computer Science 2018-02-14 Victor Magron , Alexandre Rocca , Thao Dang

Neural machine translation (NMT) architectures have achieved promising results for automatic program repair. Yet, they have the limitation of generating low-quality patches (e.g., not compilable patches). This is because the existing works…

Software Engineering · Computer Science 2022-04-12 He Ye , Matias Martinez , Martin Monperrus

Algorithms operating on real numbers are implemented as floating-point computations in practice, but floating-point operations introduce roundoff errors that can degrade the accuracy of the result. We propose $\Lambda_{num}$, a functional…

Programming Languages · Computer Science 2025-04-10 Ariel E. Kellison , Justin Hsu

We present improved algorithms for fast calculation of the inverse square root for single-precision floating-point numbers. The algorithms are much more accurate than the famous fast inverse square root algorithm and have the same or…

Numerical Analysis · Computer Science 2018-02-22 Cezary J. Walczyk , Leonid V. Moroz , Jan L. Cieśliński

The proliferation of low-precision units in modern high-performance architectures increasingly burdens domain scientists. Historically, the choice in HPC was easy: can we get away with 32 bit floating-point operations and lower bandwidth…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-23 Faveo Hoerold , Ivan R. Ivanov , Akash Dhruv , William S. Moses , Anshu Dubey , Mohamed Wahib , Jens Domke

One of the major bottlenecks in high-resolution Earth Observation (EO) space systems is the downlink between the satellite and the ground. Due to hardware limitations, on-board power limitations or ground-station operation costs, there is a…

Machine Learning · Computer Science 2023-11-21 Cédric Gernigon , Silviu-Ioan Filip , Olivier Sentieys , Clément Coggiola , Mickaël Bruno

Floating-point computations are quickly finding their way in the design of safety- and mission-critical systems, despite the fact that designing floating-point algorithms is significantly more difficult than designing integer algorithms.…

Artificial Intelligence · Computer Science 2015-08-03 Roberto Bagnara , Matthieu Carlier , Roberta Gori , Arnaud Gotlieb

Software bugs significantly contribute to software cost and increase the risk of system malfunctioning. In recent years, many automated program-repair approaches have been proposed to automatically fix undesired program behavior. Despite of…

Software Engineering · Computer Science 2021-07-19 Dirk Beyer , Lars Grunske , Thomas Lemberger , Minxing Tang

Orthogonal time frequency space (OTFS) modulation is a promising solution to handle doubly-selective fading, but its channel estimation is a nontrivial task in terms of maximizing spectral efficiency. Conventional pilot assignment…

Signal Processing · Electrical Eng. & Systems 2026-02-25 Yuta Kanazawa , Hiroki Iimori , Chandan Pradhan , Szabolcs Malomsoky , Naoki Ishikawa

Convolutional neural networks (CNNs) are typically trained using 16- or 32-bit floating-point (FP) and researchers show that low-precision floating-point (FP) can be highly effective for inference. Low-precision FP can be implemented in…

Hardware Architecture · Computer Science 2021-03-02 James Garland , David Gregg

Fuzz testing (fuzzing) is a well-known method for exposing bugs/vulnerabilities in software systems. Popular fuzzers, such as AFL, use a biased random search over the domain of program inputs, where 100s or 1000s of inputs (test cases) are…

Software Engineering · Computer Science 2023-08-02 Yuntong Zhang , Ridwan Shariffdeen , Gregory J. Duck , Jiaqi Tan , Abhik Roychoudhury

Within the realm of software engineering, specialized tasks on code, such as program repair, present unique challenges, necessitating fine-tuning Large language models~(LLMs) to unlock state-of-the-art performance. Fine-tuning approaches…

Software Engineering · Computer Science 2025-09-23 Boyang Yang , Haoye Tian , Jiadong Ren , Hongyu Zhang , Jacques Klein , Tegawendé F. Bissyandé , Claire Le Goues , Shunfu Jin

Automated Program Repair (APR) improves developer productivity by saving debugging and bug-fixing time. While APR has been extensively explored for C/C++ and Java programs, there is little research on bugs in PHP programs due to the lack of…

Software Engineering · Computer Science 2024-01-23 K. D. Pramod , W. T. N. De Silva , W. U. K. Thabrew , Ridwan Shariffdeen , Sandareka Wickramanayake

Consider a polynomial optimisation problem, whose instances vary continuously over time. We propose to use a coordinate-descent algorithm for solving such time-varying optimisation problems. In particular, we focus on relaxations of…

Optimization and Control · Mathematics 2019-09-24 Jie Liu , Jakub Marecek , Andrea Simonetto , Martin Takac

Finite-precision arithmetic computations face an inherent tradeoff between accuracy and efficiency. The points in this tradeoff space are determined, among other factors, by different data types but also evaluation orders. To put it simply,…

Programming Languages · Computer Science 2017-07-10 Eva Darulova , Einar Horn , Saksham Sharma