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Given a combinatorial decomposition for a counting problem, we resort to the simple scheme of approximating large numbers by floating-point representations in order to obtain efficient Fully Polynomial Time Approximation Schemes (FPTASes)…

Data Structures and Algorithms · Computer Science 2013-11-19 Romeo Rizzi , Alexandru I. Tomescu

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

Static analysis is one of the most widely adopted techniques to find software bugs before code is put in production. Designing and implementing effective and efficient static analyses is difficult and requires high expertise, which results…

Software Engineering · Computer Science 2019-06-04 Andrew Habib , Michael Pradel

Deploying new supercomputers requires testing and evaluation via application codes. Portable, user-friendly tools enable evaluation, and the Multicomponent Flow Code (MFC), a computational fluid dynamics (CFD) code, addresses this need. MFC…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-19 Benjamin Wilfong , Anand Radhakrishnan , Henry A. Le Berre , Tanush Prathi , Stephen Abbott , Spencer H. Bryngelson

Fuzzing has become the de facto standard technique for finding software vulnerabilities. However, even state-of-the-art fuzzers are not very efficient at finding hard-to-trigger software bugs. Most popular fuzzers use evolutionary guidance…

Cryptography and Security · Computer Science 2019-07-16 Dongdong She , Kexin Pei , Dave Epstein , Junfeng Yang , Baishakhi Ray , Suman Jana

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

The inference phase of deep neural networks (DNNs) in embedded systems is increasingly vulnerable to fault attacks and failures, which can result in incorrect predictions. These vulnerabilities can potentially lead to catastrophic…

Cryptography and Security · Computer Science 2026-03-20 Kasra Ahmadi , Saeed Aghapour , Mehran Mozaffari Kermani , Reza Azarderakhsh

This work proposes a method for depth completion of sparse LiDAR data using a convolutional neural network which can be used to generate semi-dense depth maps and "almost" full 3D point-clouds with significantly lower root mean squared…

Computer Vision and Pattern Recognition · Computer Science 2019-09-23 Hamid Hekmatian , Jingfu Jin , Samir Al-Stouhi

In-Memory Computing (IMC) introduces a new paradigm of computation that offers high efficiency in terms of latency and power consumption for AI accelerators. However, the non-idealities and defects of emerging technologies used in advanced…

Solving partial differential equations (PDEs) by numerical methods meet computational cost challenge for getting the accurate solution since fine grids and small time steps are required. Machine learning can accelerate this process, but…

Numerical Analysis · Mathematics 2025-01-28 Qi Wang , Yuan Mi , Haoyun Wang , Yi Zhang , Ruizhi Chengze , Hongsheng Liu , Ji-Rong Wen , Hao Sun

Deep Neural Networks (DNNs) are used in a wide variety of applications. However, as in any software application, DNN-based apps are afflicted with bugs. Previous work observed that DNN bug fix patterns are different from traditional bug fix…

Software Engineering · Computer Science 2021-12-09 Mohammad Wardat , Breno Dantas Cruz , Wei Le , Hridesh Rajan

In this article, we apply a new methodology for precision tuning to the N-body problem. Our technique, implemented in a tool named POP, makes it possible to optimize the numerical data types of a program performing floating-point…

Software Engineering · Computer Science 2021-08-03 Dorra Ben Khalifa , Matthieu Martel

Software vulnerabilities are constantly being reported and exploited in software products, causing significant impacts on society. In recent years, the main approach to vulnerability detection, fuzzing, has been integrated into the…

Software Engineering · Computer Science 2025-10-21 Tatsuya Shirai , Olivier Nourry , Yutaro Kashiwa , Kenji Fujiwara , Yasutaka Kamei , Hajimu Iida

As neural networks are increasingly included as core components of safety-critical systems, developing effective testing techniques specialized for them becomes crucial. The bulk of the research has focused on testing neural-network models;…

Software Engineering · Computer Science 2024-10-03 Mohammad Rezaalipour , Carlo A. Furia

Cloud computing systems fail in complex and unforeseen ways due to unexpected combinations of events and interactions among hardware and software components. These failures are especially problematic when they are silent, i.e., not…

Software Engineering · Computer Science 2023-01-19 Domenico Cotroneo , Luigi De Simone , Pietro Liguori , Roberto Natella

High confidence in floating-point programs requires proving numerical properties of final and intermediate values. One may need to guarantee that a value stays within some range, or that the error relative to some ideal value is well…

Numerical Analysis · Computer Science 2008-01-04 Florent De Dinechin , Christoph Quirin Lauter , Guillaume Melquiond

As High-Performance Computing (HPC) systems strive towards the exascale goal, failure rates both at the hardware and software levels will increase significantly. Thus, detecting and classifying faults in HPC systems as they occur and…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-29 Alessio Netti , Zeynep Kiziltan , Ozalp Babaoglu , Alina Sirbu , Andrea Bartolini , Andrea Borghesi

The quest of demonstrating beneficial quantum error correction in near-term noisy quantum processors can benefit enormously from a low-resource optimization of fault-tolerant schemes, which are specially designed for a particular platform…

Quantum Physics · Physics 2019-12-11 A. Bermudez , X. Xu , M. Gutiérrez , S. C. Benjamin , M. Müller

Fault Localization (FL) is an essential step during the debugging process. With the strong capabilities of code comprehension, the recent Large Language Models (LLMs) have demonstrated promising performance in diagnosing bugs in the code.…

Software Engineering · Computer Science 2025-02-25 Yihao Qin , Shangwen Wang , Yiling Lou , Jinhao Dong , Kaixin Wang , Xiaoling Li , Xiaoguang Mao

Compression of floating-point data will play an important role in high-performance computing as data bandwidth and storage become dominant costs. Lossy compression of floating-point data is powerful, but theoretical results are needed to…

Numerical Analysis · Mathematics 2024-07-03 James Diffenderfer , Alyson Fox , Jeffrey Hittinger , Geoffrey Sanders , Peter Lindstrom