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Floating-point programs form the foundation of modern science and engineering, providing the essential computational framework for a wide range of applications, such as safety-critical systems, aerospace engineering, and financial analysis.…

Software Engineering · Computer Science 2025-07-14 Youshuai Tan , Zhanwei Zhang , Jinfu Chen , Zishuo Ding , Jifeng Xuan , Weiyi Shang

The increasing adoption of large language models (LLMs) for code-related tasks has raised concerns about the security of their training datasets. One critical threat is dead code poisoning, where syntactically valid but functionally…

Computation and Language · Computer Science 2025-03-03 Chi-Chien Tsai , Chia-Mu Yu , Ying-Dar Lin , Yu-Sung Wu , Wei-Bin Lee

Number prediction stands as a fundamental capability of large language models (LLMs) in mathematical problem-solving and code generation. The widely adopted maximum likelihood estimation (MLE) for LLM training is not tailored to number…

Computation and Language · Computer Science 2026-05-21 Zhaohui Zheng , Chenhang He , Shihao Wang , Yuxuan Li , Ming-Ming Cheng , Lei Zhang

Deep Neural Networks (DNN) have found numerous applications in various domains, including fraud detection, medical diagnosis, facial recognition, and autonomous driving. However, DNN-based systems often suffer from reliability issues due to…

Software Engineering · Computer Science 2025-01-23 Sigma Jahan , Mehil B Shah , Parvez Mahbub , Mohammad Masudur Rahman

The aim is to identify faulty predicates which have strong effect on program failure. Statistical debugging techniques are amongst best methods for pinpointing defects within the program source code. However, they have some drawbacks. They…

Software Engineering · Computer Science 2016-12-20 Farid Feyzi , Esmaeel Nikravan , Saeed Parsa

High precision atomic data is indispensable for experiments involving studies of fundamental interactions, astrophysics, atomic clocks, plasma science, and others. We develop new parallel atomic structure codes and explore the difficulties…

Atomic Physics · Physics 2021-03-11 C. Cheung , M. S. Safronova , S. G. Porsev

Errors due to hardware or low level software problems, if detected, can be fixed by various schemes, such as recomputation from a checkpoint. Silent errors are errors in application state that have escaped low-level error detection. At…

Numerical Analysis · Computer Science 2018-01-08 Austin R. Benson , Sven Schmit , Robert Schreiber

A program fails. Under which circumstances does this failure occur? One single algorithm, the delta debugging algorithm, suffices to determine these failure-inducing circumstances. Delta debugging tests a program systematically and…

Software Engineering · Computer Science 2007-05-23 Holger Cleve , Andreas Zeller

Detecting anomalies in business processes is crucial for ensuring operational success. While many existing methods rely on statistical frequency to detect anomalies, it's important to note that infrequent behavior doesn't necessarily imply…

Computation and Language · Computer Science 2025-12-16 Wei Guan , Jian Cao , Jianqi Gao , Haiyan Zhao , Shiyou Qian

Numerical solutions of partial differential equations enable a broad range of scientific research. The Dedalus Project is a flexible, open-source, parallelized computational framework for solving general partial differential equations using…

Instrumentation and Methods for Astrophysics · Physics 2020-04-29 Keaton J. Burns , Geoffrey M. Vasil , Jeffrey S. Oishi , Daniel Lecoanet , Benjamin P. Brown

Mixed-precision computing has become increasingly important in modern high-performance computing and machine learning applications. When implementing custom mixed-precision functions -- such as fused operators, optimized GPU kernels, or…

Numerical Analysis · Mathematics 2026-02-12 Peichen Xie

Evaluated nuclear data uncertainties are often perceived as unrealistic, most often because they are thought to be too small. The impact of this issue in applied nuclear science has been discussed widely in recent years. Commonly suggested…

Data Analysis, Statistics and Probability · Physics 2020-04-28 R. Capote , S. Badikov , A. Carlson , I. Duran , F. Gunsing , D. Neudecker , V. G. Pronyaev , P. Schillebeeckx , G. Schnabel , D. L. Smith , A. Wallner

Recent advancements in quantum computing software are gradually increasing the scope and size of quantum programs being developed. At the same time, however, these larger programs provide more possibilities for functional errors that are…

Quantum Physics · Physics 2024-12-18 Damian Rovara , Lukas Burgholzer , Robert Wille

Dijkstra observed that verifying correctness of a program is difficult and conjectured that derivation of a program hand-in-hand with its proof of correctness was the answer. We illustrate this goal-oriented approach by applying it to the…

Mathematical Software · Computer Science 2017-10-13 Devangi N. Parikh , Maggie E. Myers , Robert A. van de Geijn

Scientific software relies on high-precision computation, yet finite floating-point representations can introduce precision errors that propagate in safety-critical domains. Despite the growing use of large language models (LLMs) in…

Software Engineering · Computer Science 2026-04-10 Tien Nguyen , Kirshanthan Sundararajah , Muhammad Ali Gulzar

Software vulnerability detection is generally supported by automated static analysis tools, which have recently been reinforced by deep learning (DL) models. However, despite the superior performance of DL-based approaches over rule-based…

Software Engineering · Computer Science 2024-05-03 Yanjing Yang , Xin Zhou , Runfeng Mao , Jinwei Xu , Lanxin Yang , Yu Zhangm , Haifeng Shen , He Zhang

Vulnerability detection is crucial to protect software security. Nowadays, deep learning (DL) is the most promising technique to automate this detection task, leveraging its superior ability to extract patterns and representations within…

Software Engineering · Computer Science 2026-02-13 Yuejun Guo , Qiang Hu , Qiang Tang , Yves Le Traon

Solving high-dimensional partial differential equations (PDEs) is a critical challenge where modern data-driven solvers often lack reliability and rigorous error guarantees. We introduce Simulation-Calibrated Scientific Machine Learning…

Numerical Analysis · Mathematics 2025-12-25 Zexi Fan , Yan Sun , Shihao Yang , Yiping Lu

Nowadays, we are witnessing an increasing demand in both corporates and academia for exploiting Deep Learning (DL) to solve complex real-world problems. A DL program encodes the network structure of a desirable DL model and the process by…

Software Engineering · Computer Science 2021-07-08 Amin Nikanjam , Houssem Ben Braiek , Mohammad Mehdi Morovati , Foutse Khomh

Ab initio quantum chemical methods for accurately computing interactions between molecules have a wide range of applications but are often computationally expensive. Hence, selecting an appropriate method based on accuracy and computational…

Chemical Physics · Physics 2025-11-25 Austin M. Wallace , C. David Sherrill , Giri P. Krishnan
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