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Related papers: Impacts of floating-point non-associativity on rep…

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Large Language Models (LLMs) are now integral across various domains and have demonstrated impressive performance. Progress, however, rests on the premise that benchmark scores are both accurate and reproducible. We demonstrate that the…

Computation and Language · Computer Science 2025-10-28 Jiayi Yuan , Hao Li , Xinheng Ding , Wenya Xie , Yu-Jhe Li , Wentian Zhao , Kun Wan , Jing Shi , Xia Hu , Zirui Liu

With an ever-growing number of parameters defining increasingly complex networks, Deep Learning has led to several breakthroughs surpassing human performance. As a result, data movement for these millions of model parameters causes a…

Neural and Evolutionary Computing · Computer Science 2023-04-12 Christopher Wolters , Brady Taylor , Edward Hanson , Xiaoxuan Yang , Ulf Schlichtmann , Yiran Chen

In this paper, we report our ongoing investigations of the inherent non-determinism in contemporary execution environments that can potentially lead to divergence in state of a multi-channel hardware/software system. Our approach involved…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-09 Peter Okech , Nicholas Mc Guire , William Okelo-Odongo

Non-determinism and non-reproducibility present significant challenges in deep learning, leading to inconsistent results across runs and platforms. These issues stem from two origins: random number generation and floating-point computation.…

Machine Learning · Computer Science 2025-10-13 Peichen Xie , Xian Zhang , Shuo Chen

What is called "numerical reproducibility" is the problem of getting the same result when the scientific computation is run several times, either on the same machine or on different machines, with different types and numbers of processing…

Numerical Analysis · Computer Science 2014-05-20 Nathalie Revol , Philippe Théveny

Round-off errors arising from the difference between real numbers and their floating-point representation cause the control flow of conditional floating-point statements to deviate from the ideal flow of the real-number computation. This…

Programming Languages · Computer Science 2018-12-04 Laura Titolo , Cesar A. Muñoz , Marco A. Feliu , Mariano M. Moscato

The ability of machine learning (ML) classification models to resist small, targeted input perturbations -- known as adversarial attacks -- is a key measure of their safety and reliability. We show that floating-point non-associativity…

Machine Learning · Computer Science 2025-08-25 Sanjif Shanmugavelu , Mathieu Taillefumier , Christopher Culver , Vijay Ganesh , Oscar Hernandez , Ada Sedova

Floating-point non-associativity makes fundamental deep learning operations, such as matrix multiplication (matmul) on GPUs, inherently non-deterministic. Despite this, the statistical structure of the resulting numerical error remains…

Numerical Analysis · Mathematics 2025-11-04 Tadisetty Sai Yashwanth

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

Computational notebooks are notoriously prone to reproducibility failures. By permitting out-of-order cell execution, notebooks accumulate hidden state and implicit dependencies that cause interactive executions to silently diverge from…

Programming Languages · Computer Science 2026-05-05 Stephen N. Freund , Emery D. Berger , Cormac Flanagan , Eunice Jun

The unknown parameters of simulation models often need to be calibrated using observed data. When simulation models are expensive, calibration is usually carried out with an emulator. The effectiveness of the calibration process can be…

Computation · Statistics 2024-12-03 Özge Sürer , Stefan M. Wild

Reproducibility is a crucial requirement in scientific research. When results of research studies and scientific papers have been found difficult or impossible to reproduce, we face a challenge which is called reproducibility crisis.…

Software Engineering · Computer Science 2021-09-10 Emilio Rivera-Landos , Foutse Khomh , Amin Nikanjam

Recurrent neural networks are widely used in speech and language processing. Due to dependency on the past, standard algorithms for training these models, such as back-propagation through time (BPTT), cannot be efficiently parallelised.…

Audio and Speech Processing · Electrical Eng. & Systems 2021-06-07 Zhengxiong Wang , Anton Ragni

Research in automatic parallelization of loop-centric programs started with static analysis, then broadened its arsenal to include dynamic inspection-execution and speculative execution, the best results involving hybrid static-dynamic…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-11-30 Riyadh Baghdadi , Albert Cohen , Cedric Bastoul , Louis-Noel Pouchet , Lawrence Rauchwerger

Evolutionary algorithms (EAs) are increasingly implemented on graphics processing units (GPUs) to leverage parallel processing capabilities for enhanced efficiency. However, existing studies largely emphasize the raw speedup obtained by…

Neural and Evolutionary Computing · Computer Science 2026-01-28 Xinmeng Yu , Tao Jiang , Ran Cheng , Yaochu Jin , Kay Chen Tan

Scientific computing applications, such as computational fluid dynamics and climate modeling, typically rely on 64-bit double-precision floating-point operations, which are extremely costly in terms of computation, memory, and energy. While…

Hardware Architecture · Computer Science 2024-09-24 Cong "Callie" Hao

Nondeterminism in neural network optimization produces uncertainty in performance, making small improvements difficult to discern from run-to-run variability. While uncertainty can be reduced by training multiple model copies, doing so is…

Machine Learning · Computer Science 2021-07-13 Cecilia Summers , Michael J. Dinneen

Hardware failures are a growing challenge for machine learning accelerators, many of which are based on systolic arrays. When a permanent hardware failure occurs in a systolic array, existing solutions include localizing and isolating the…

Machine Learning · Computer Science 2024-12-24 Youssef A. Ait Alama , Sampada Sakpal , Ke Wang , Razvan Bunescu , Avinash Karanth , Ahmed Louri

A recent advancement in quantum computing shows a quantum advantage of certified randomness on the racetrack processor. This work investigates the execution efficiency of this architecture for general-purpose programs. We first explore the…

Quantum Physics · Physics 2026-01-15 Enhyeok Jang , Hyungseok Kim , Yongju Lee , Jaewon Kwon , Yipeng Huang , Won Woo Ro

The memory consistency model is a fundamental system property characterizing a multiprocessor. The relative merits of strict versus relaxed memory models have been widely debated in terms of their impact on performance, hardware complexity…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-04-07 Alexander Jaffe , Thomas Moscibroda , Laura Effinger-Dean , Luis Ceze , Karin Strauss
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