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In this study, we introduce a refined method for ascertaining error estimations in numerical simulations of dynamical systems via an innovative application of composition techniques. Our approach involves a dual application of a basic…

General Mathematics · Mathematics 2024-09-18 Ahmad Deeb , Denys Dutykh

Precise pointer analysis is a foundational component of many client analyses and optimizations. Scaling flow- and context-sensitive pointer analysis has been a long-standing challenge, suffering from combinatorial growth in both memory…

Programming Languages · Computer Science 2026-04-14 Anamitra Ghorui , Aditi Raste , Uday P. Khedker

A study is conducted to evaluate four derivative estimation methods when solving a large sparse nonlinear programming problem that arises from the approximation of an optimal control problem using a direct collocation method. In particular,…

Optimization and Control · Mathematics 2020-05-29 Yunus M. Agamawi , Anil V. Rao

As the particle count escalates, the computational demands of diverse simulation algorithms surge, paralleled by a marked enhancement in accuracy. The question arises whether this heightened precision asymptotically dwindles towards zero or…

Computational Physics · Physics 2025-01-08 Yonglong Ding

This article studies a combination of the two state-of-the-art algorithms for the exact solution of linear programs (LPs) over the rational numbers, i.e., without any roundoff errors or numerical tolerances. By integrating the method of…

Optimization and Control · Mathematics 2023-11-15 Leon Eifler , Jules Nicolas-Thouvenin , Ambros Gleixner

Automatic metrics are fundamental for the development and evaluation of machine translation systems. Judging whether, and to what extent, automatic metrics concur with the gold standard of human evaluation is not a straightforward problem.…

Computation and Language · Computer Science 2020-06-15 Nitika Mathur , Timothy Baldwin , Trevor Cohn

Formal verification of floating-point arithmetic remains challenging due to non-linear arithmetic behavior and the tight coupling between control and datapath logic. Existing approaches often rely on high-level C models for equivalence…

Logic in Computer Science · Computer Science 2026-03-05 Hansa Mohanty , Vaisakh Naduvodi Viswambharan , Deepak Narayan Gadde

Verification of numerical accuracy properties in modern software remains an important and challenging task. This paper describes an original framework combining different solutions for numerical accuracy. First, we extend an existing…

Software Engineering · Computer Science 2019-11-26 Maxime Jacquemin , Fonenantsoa Maurica , Nikolai Kosmatov , Julien Signoles , Franck Védrine

Coherent errors in quantum operations are ubiquitous. Whether arising from spurious environmental couplings or errors in control fields, such errors can accumulate rapidly and degrade the performance of a quantum circuit significantly more…

Quantum Physics · Physics 2022-05-03 Anthony M. Polloreno , Kevin C. Young

A class of two-bit bit flipping algorithms for decoding low-density parity-check codes over the binary symmetric channel was proposed in [1]. Initial results showed that decoders which employ a group of these algorithms operating in…

Information Theory · Computer Science 2012-05-22 Dung Viet Nguyen , Bane Vasic , Michael W. Marcellin

Accurate performance estimation of future many-node machines is challenging because it requires detailed simulation models of both node and network. However, simulating the full system in detail is unfeasible in terms of compute and memory…

Performance · Computer Science 2024-01-19 Stijn Eyerman , Wim Heirman , Kristof Du Bois , Ibrahim Hur

Data sites selected from modeling high-dimensional problems often appear scattered in non-paternalistic ways. Except for sporadic clustering at some spots, they become relatively far apart as the dimension of the ambient space grows. These…

Numerical Analysis · Mathematics 2021-09-28 Shao-Bo Lin , Xiangyu Chang , Xingping Sun

Distributed algorithms have been playing an increasingly important role in many applications such as machine learning, signal processing, and control. Significant research efforts have been devoted to developing and analyzing new algorithms…

Machine Learning · Computer Science 2022-11-03 Xinwei Zhang , Mingyi Hong , Nicola Elia

Data verification, the process of labeling data items as correct or incorrect, is a preprocessing step that may critically affect the quality of results in data-driven pipelines. Despite recent advances, verification can still produce…

Databases · Computer Science 2026-03-10 Ran Schreiber , Yael Amsterdamer

Deep Neural Networks (DNN) are nowadays largely adopted in many application domains thanks to their human-like, or even superhuman, performance in specific tasks. However, due to unpredictable/unconsidered operating conditions, unexpected…

Machine Learning · Computer Science 2024-03-27 Antonio Guerriero , Roberto Pietrantuono , Stefano Russo

Accurately detecting multiple change-points is critical for various applications, but determining the optimal number of change-points remains a challenge. Existing approaches based on information criteria attempt to balance goodness-of-fit…

Methodology · Statistics 2023-12-19 Hui Chen , Yinxu Jia , Guanghui Wang , Changliang Zou

The idea of automatizing the assessment of objectoriented design is not new. Different approaches define and apply their own quality models, which are composed of single metrics or combinations thereof, to operationalize software design.…

Software Engineering · Computer Science 2016-02-24 Johannes Bräuer

Mixed-integer optimisation problems can be computationally challenging. Here, we introduce and analyse two efficient algorithms with a specific sequential design that are aimed at dealing with sampled problems within this class. At each…

Optimization and Control · Mathematics 2023-03-07 Mohammadreza Chamanbaz , Roland Bouffanais

Model-based testing (MBT) provides an automated approach for finding discrepancies between software models and their implementation. If we want to incorporate MBT into the fast and iterative software development process that is Continuous…

Software Engineering · Computer Science 2023-05-02 P. H. M. van Spaendonck

While deep learning excels in natural image and language processing, its application to high-dimensional data faces computational challenges due to the dimensionality curse. Current large-scale data tools focus on business-oriented…

Machine Learning · Computer Science 2025-07-01 Chen Zhang
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