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Linear solvers are major computational bottlenecks in a wide range of decision support and optimization computations. The challenges become even more pronounced on heterogeneous hardware, where traditional sparse numerical linear algebra…

Computational Engineering, Finance, and Science · Computer Science 2024-01-26 Kasia Świrydowicz , Nicholson Koukpaizan , Maksudul Alam , Shaked Regev , Michael Saunders , Slaven Peleš

Exactly solving multi-objective integer programming (MOIP) problems is often a very time consuming process, especially for large and complex problems. Parallel computing has the potential to significantly reduce the time taken to solve such…

Optimization and Control · Mathematics 2018-11-02 William Pettersson , Melih Ozlen

With the rapid evolution of Large Language Models (LLMs) and their large-scale experimentation in cloud-computing spaces, the challenge of guaranteeing their security and efficiency in a failure scenario has become a main issue. To ensure…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-18 Yihong Jin , Ze Yang , Xinhe Xu , Yihan Zhang , Shuyang Ji

Two-Phase TMR conserves energy by partitioning redundancy operations into two stages and making the execution of the third task copy optional, yet it remains susceptible to permanent faults. Reactive-TMR (R-TMR) counters this by isolating…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-30 Yiming Hu

Understanding the application resilience in the presence of faults is critical to address the HPC resilience challenge. Currently, we largely rely on random fault injection (RFI) to quantify the application resilience. However, RFI provides…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-02 Luanzheng Guo , Hanlin He , Dong Li

With the steady advance of high performance computing systems featuring smaller and smaller hardware components, the systems and algorithms used for numerical simulations increasingly contend with disruptions caused by hardware failures and…

Numerical Analysis · Mathematics 2022-02-09 Mike Gillard , Tommaso Benacchio

Discrete Event Simulation is a widely used technique that is used to model and analyze complex systems in many fields of science and engineering. The increasingly large size of simulation models poses a serious computational challenge,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-30 Gabriele D'Angelo , Stefano Ferretti , Moreno Marzolla , Lorenzo Armaroli

As multicore computing is now standard, it seems irresponsible for constraints researchers to ignore the implications of it. Researchers need to address a number of issues to exploit parallelism, such as: investigating which constraint…

Artificial Intelligence · Computer Science 2018-03-30 Ian P. Gent , Ciaran McCreesh , Ian Miguel , Neil C. A. Moore , Peter Nightingale , Patrick Prosser , Chris Unsworth

Due to the increasing complexity of Multi-Processor Systems on Chip (MPSoCs), system-level design methodologies have got a lot of attention in recent years. However, the significant gap between the system-level reliability analysis and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-14 Hananeh Aliee , Liang Chen , Mojtaba Ebrahimi , Michael Glaß , Faramarz Khosravi , Mehdi B. Tahoori

The CMOS integrated chips at advanced technology nodes are becoming more vulnerable to various sources of faults like manufacturing imprecisions, variations, aging, etc. Additionally, the intentional fault attacks (e.g., high power…

Hardware Architecture · Computer Science 2018-07-08 Naveen Kumar Macha , Bhavana Tejaswini Repalle , Sandeep Geedipally , Rafael Rios , Mostafizur Rahman

We demonstrate algorithm-based fault tolerance for silent, transient data corruption in "black-box" preconditioners. We consider both additive Schwarz domain decomposition with an ILU(k) subdomain solver, and algebraic multigrid, both…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-23 James Elliott , Mark Hoemmen , Frank Mueller

Collaborative inference has received significant research interest in machine learning as a vehicle for distributing computation load, reducing latency, as well as addressing privacy preservation in communications. Recent collaborative…

Machine Learning · Computer Science 2022-06-17 Jani Boutellier , Bo Tan , Jari Nurmi

Fault-tolerant distributed systems offer high reliability because even if faults in their components occur, they do not exhibit erroneous behavior. Depending on the fault model adopted, hardware and software errors that do not result in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-19 Rodrigo R. Barbieri , Enrique S. dos Santos , Gustavo M. D. Vieira

Graphics Processing Units (GPUs) are widely used by various applications in a broad variety of fields to accelerate their computation but remain susceptible to transient hardware faults (soft errors) that can easily compromise application…

Software Engineering · Computer Science 2021-03-30 Lishan Yang , Bin Nie , Adwait Jog , Evgenia Smirni

Tensor parallelism (TP) enables large language models (LLMs) to scale inference efficiently across multiple GPUs, but its tight coupling makes systems fragile: a single GPU failure can halt execution, trigger costly KVCache recomputation,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-19 Ziyi Xu , Zhiqiang Xie , Swapnil Gandhi , Christos Kozyrakis

The predicted reduced resiliency of next-generation high performance computers means that it will become necessary to take into account the effects of randomly occurring faults on numerical methods. Further, in the event of a hard fault…

Numerical Analysis · Mathematics 2017-09-07 Mark Ainsworth , Christian Glusa

This article presents a novel perspective along with a scalable methodology to design a fault detection and isolation (FDI) filter for high dimensional nonlinear systems. Previous approaches on FDI problems are either confined to linear…

Optimization and Control · Mathematics 2016-01-25 Peyman Mohajerin Esfahani , John Lygeros

We analyze the bit complexity of efficient algorithms for fundamental optimization problems, such as linear regression, $p$-norm regression, and linear programming (LP). State-of-the-art algorithms are iterative, and in terms of the number…

Data Structures and Algorithms · Computer Science 2023-04-06 Mehrdad Ghadiri , Richard Peng , Santosh S. Vempala

Discretizations of infinite-dimensional variational inequalities lead to linear and nonlinear complementarity problems with many degrees of freedom. To solve these problems in a parallel computing environment, we propose two active-set…

Optimization and Control · Mathematics 2007-05-23 Steven J. Benson , Todd S. Munson

Large Language Models (LLMs) are powerful but often too slow and costly for real-world use during inference. Looped transformers save on parameters by reusing the same weights for multiple computational steps, or "loops." However, this…

Computation and Language · Computer Science 2025-10-30 Bohong Wu , Mengzhao Chen , Xiang Luo , Shen Yan , Qifan Yu , Fan Xia , Tianqi Zhang , Hongrui Zhan , Zheng Zhong , Xun Zhou , Siyuan Qiao , Xingyan Bin