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Energy increasingly constrains modern computer hardware, yet protecting computations and data against errors costs energy. This holds at all scales, but especially for the largest parallel computers being built and planned today. As…

Numerical Analysis · Mathematics 2012-06-08 Patrick G. Bridges , Kurt B. Ferreira , Michael A. Heroux , Mark Hoemmen

We present CLEAR (Cross-Layer Exploration for Architecting Resilience), a first of its kind framework which overcomes a major challenge in the design of digital systems that are resilient to reliability failures: achieve desired resilience…

We present a first of its kind framework which overcomes a major challenge in the design of digital systems that are resilient to reliability failures: achieve desired resilience targets at minimal costs (energy, power, execution time,…

Application partitioning and code offloading are being researched extensively during the past few years. Several frameworks for code offloading have been proposed. However, fewer works attempted to address issues occurred with its…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-21 Nevin Vunka Jungum , Nawaz Mohamudally , Nimal Nissanke

Data corruption, including missing and noisy data, poses significant challenges in real-world machine learning. This study investigates the effects of data corruption on model performance and explores strategies to mitigate these effects…

Machine Learning · Computer Science 2025-05-22 Qi Liu , Wanjing Ma

This work addresses the situation where a black-box model with good predictive performance is chosen over its interpretable competitors, and we show interpretability is still achievable in this case. Our solution is to find an interpretable…

Machine Learning · Computer Science 2019-05-13 Tong Wang

As Large Language Models (LLMs) scale in size and complexity, the consequences of failures during training become increasingly severe. A major challenge arises from Silent Data Corruption (SDC): hardware-induced faults that bypass…

Machine Learning · Computer Science 2026-04-02 Anton Altenbernd , Philipp Wiesner , Odej Kao

This paper presents a parallel preconditioning approach based on incomplete LU (ILU) factorizations in the framework of Domain Decomposition (DD) for general sparse linear systems. We focus on distributed memory parallel architectures,…

Numerical Analysis · Mathematics 2023-03-17 Tianshi Xu , Ruipeng Li , Daniel Osei-Kuffuor

Incomplete factorization is a powerful preconditioner for Krylov subspace methods for solving large-scale sparse linear systems. Existing incomplete factorization techniques, including incomplete Cholesky and incomplete LU factorizations,…

Numerical Analysis · Mathematics 2024-12-20 Aditi Ghai , Xiangmin Jiao

Environmental noise (e.g.heat, ionized particles, etc.) causes transient faults in hardware, which lead to corruption of stored values. Mission-critical devices require such faults to be mitigated by fault-tolerance --- a combination of…

Cryptography and Security · Computer Science 2014-10-28 Filippo Del Tedesco , David Sands , Alejandro Russo

Parametric and non-parametric classifiers often have to deal with real-world data, where corruptions like noise, occlusions, and blur are unavoidable - posing significant challenges. We present a probabilistic approach to classify strongly…

Machine Learning · Computer Science 2023-04-24 Philipp Joppich , Sebastian Dorn , Oliver De Candido , Wolfgang Utschick , Jakob Knollmüller

We propose a simple domain decomposition method for $d$-dimensional elliptic PDEs which involves an overlapping decomposition into local subdomain problems and a global coarse problem. It relies on a space-filling curve to create equally…

Numerical Analysis · Mathematics 2021-03-08 Michael Griebel , Marc-Alexander Schweitzer , Lukas Troska

Supercomputers getting ever larger and energy-efficient is at odds with the reliability of the used hardware. Thus, the time intervals between component failures are decreasing. Contrarily, the latencies for individual operations of…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-26 Demian Hespe , Lukas Hübner , Charel Mercatoris , Peter Sanders

The adoption of high-performance multi-core platforms in avionics and automotive systems introduces significant challenges in ensuring predictable execution, primarily due to shared resource interferences. Many existing approaches study…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-14 Mohamed Amine Khelassi , Felix Suchert , Abderaouf Amalou , Benjamin Lesage , Anika Christmann , Robin Hapka , Jeronimo Castrillon , Mihail Asavoae , Mathieu Jan , Claire Pagetti , Selma Saidi

Silent Errors within hardware devices occur when an internal defect manifests in a part of the circuit which does not have check logic to detect the incorrect circuit operation. The results of such a defect can range from flipping a single…

Hardware Architecture · Computer Science 2022-03-18 Harish Dattatraya Dixit , Laura Boyle , Gautham Vunnam , Sneha Pendharkar , Matt Beadon , Sriram Sankar

Silent data corruption (SDC) threatens the reliability of large-scale GPU clusters used for training large language models, yet its rarity and lack of explicit error signals make accurate high-level modeling challenging. To address this…

We introduce a comprehensive and statistical framework in a model free setting for a complete treatment of localized data corruptions due to severe noise sources, e.g., an occluder in the case of a visual recording. Within this framework,…

Machine Learning · Computer Science 2014-10-02 Huseyin Ozkan , Ozgun S. Pelvan , Suleyman S. Kozat

Ill-conditioning of the system matrix is a well-known complication in immersed finite element methods and trimmed isogeometric analysis. Elements with small intersections with the physical domain yield problematic eigenvalues in the system…

Numerical Analysis · Mathematics 2019-12-17 F. de Prenter , C. V. Verhoosel , E. H. van Brummelen , J. A. Evans , C. Messe , J. Benzaken , K. Maute

A quantum computer -- i.e., a computer capable of manipulating data in quantum superposition -- would find applications including factoring, quantum simulation and tests of basic quantum theory. Since quantum superpositions are fragile, the…

Quantum Physics · Physics 2007-05-23 Ben W. Reichardt

As computational machines become larger and more complex, the probability of hardware failure rises. ``Silent errors'', or bit flips, may not be immediately apparent but can cause detrimental effects to algorithm behavior. In this work, we…

Numerical Analysis · Mathematics 2025-03-31 Erin Claire Carson , Jakub Hercík
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