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Despite its maturity, the field of fault-tolerant redundancy suffers from significant terminological fragmentation, where functionally equivalent methods are frequently described under disparate names across academic and industrial domains.…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Lukas Flad , Mark Leyer , Felix Sebastian Nitz , Tobias Krawutschke

We develop in this paper a method ensuring robustness properties to bang-bang strategies , for general nonlinear control systems. Our main idea is to add bang arcs in the form of needle-like variations of the control. With such bang-bang…

Optimization and Control · Mathematics 2017-07-10 Antoine Olivier , Thomas Haberkorn , Emmanuel Trélat , Eric Bourgeois , David-Alexis Handschuh

Multiple model reduction techniques have been proposed to tackle linear and non linear problems. Intrusive model order reduction techniques exhibit high accuracy levels, however, they are rarely used as a standalone industrial tool, because…

Computational Engineering, Finance, and Science · Computer Science 2025-04-10 Mikhael Tannous , Chady Ghnatios , Eivind Fonn , Trond Kvamsdal , Francisco Chinesta

Performance of distributed optimization and learning systems is bottlenecked by "straggler" nodes and slow communication links, which significantly delay computation. We propose a distributed optimization framework where the dataset is…

Machine Learning · Statistics 2018-03-15 Can Karakus , Yifan Sun , Suhas Diggavi , Wotao Yin

In our recent work on iterative computation in hardware, we showed that arbitrary-precision solvers can perform more favorably than their traditional arithmetic equivalents when the latter's precisions are either under- or over-budgeted for…

Numerical Analysis · Mathematics 2020-10-20 He Li , Ian McInerney , James J. Davis , George A. Constantinides

We consider electricity capacity expansion models, which optimize investment and retirement decisions by minimizing both investment and operation costs. In order to provide credible support for planning and policy decisions, these models…

Optimization and Control · Mathematics 2025-01-08 Filippo Pecci , Jesse D. Jenkins

A cumbersome operation in numerical analysis and linear algebra, optimization, machine learning and engineering algorithms; is inverting large full-rank matrices which appears in various processes and applications. This has both numerical…

Numerical Analysis · Mathematics 2022-06-24 Neophytos Charalambides , Mert Pilanci , Alfred O. Hero

Distributed storage infrastructures require the use of data redundancy to achieve high data reliability. Unfortunately, the use of redundancy introduces storage and communication overheads, which can either reduce the overall storage…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-19 Lluis Pamies-Juarez , Ernst Biersack

Runtime variability in computing systems causes some tasks to straggle and take much longer than expected to complete. These straggler tasks are known to significantly slowdown distributed computation. Job execution with speculative…

Performance · Computer Science 2019-06-14 Mehmet Fatih Aktas , Emina Soljanin

We provide a computational framework for approximating a class of structured matrices; here, the term structure is very general, and may refer to a regular sparsity pattern (e.g., block-banded), or be more highly structured (e.g., symmetric…

Numerical Analysis · Mathematics 2021-05-05 Misha E. Kilmer , Arvind K. Saibaba

Modern technologies are producing datasets with complex intrinsic structures, and they can be naturally represented as matrices instead of vectors. To preserve the latent data structures during processing, modern regression approaches…

Machine Learning · Computer Science 2016-11-16 Hang Zhang , Fengyuan Zhu , Shixin Li

This paper shows how the steady-state availability and failure frequency can be calculated in a single pass for very large systems, when the availability is expressed as a product of matrices. We apply the general procedure to…

Performance · Computer Science 2007-05-23 Annie Druault-Vicard , Christian Tanguy

A method for estimating theoretical predictability of time series is presented, based on information-theoretic functionals---redundancies and surrogate data technique. The redundancy, designed for a chosen model and a prediction horizon,…

comp-gas · Physics 2010-01-10 M. Paluš , L. Pecen , D. Pivka

Compressed sensing has become a widely accepted paradigm to construct high dimensional cluster expansion models used for statistical mechanical studies of atomic configuration in complex multicomponent crystalline materials. However, strict…

Materials Science · Physics 2022-01-05 Luis Barroso-Luque , Julia H. Yang , Gerbrand Ceder

In computation-intensive domains such as digital signal processing, encryption, and neural networks, the performance of arithmetic units, including adders and multipliers, is pivotal. Conventional numerical systems often fall short of…

Hardware Architecture · Computer Science 2024-08-13 Soudabeh Mousavi , Dara Rahmati , Saeid Gorgin , Jeong-A Lee

In this paper, we consider the problem of quantifying systemic redundancy in reliable systems having multiple controllers with overlapping functionality. In particular, we consider a multi-channel system with multi-controller configurations…

Dynamical Systems · Mathematics 2015-02-17 Getachew K. Befekadu , Panos J. Antsaklis

The design of structures submitted to aerodynamic loads usually requires the development of specific computational models considering fluid-structure interactions. Models using structural frame elements are developed in several relevant…

Fluid Dynamics · Physics 2022-04-25 Mauricio C. Vanzulli , Jorge M. Pérez Zerpa

In this paper, we consider robust stability analysis of large-scale sparsely interconnected uncertain systems. By modeling the interconnections among the subsystems with integral quadratic constraints, we show that robust stability analysis…

Optimization and Control · Mathematics 2016-11-15 Martin S. Andersen , Sina Khoshfetrat Pakazad , Anders Hansson , Anders Rantzer

In spite of extended recent interest in System Reliability-Based Design Optimization (System RBDO) and life-cycle cost or Risk Optimization (RO), there is a lack of published studies on optimal design of redundant hyperstatic systems with…

Computational Engineering, Finance, and Science · Computer Science 2022-01-26 Andre T. Beck

We describe an efficient FPGA implementation for the exponentiation of large matrices. The research is related to an algorithm for constructing uniformly distributed linear recurring sequences. The design utilizes the special properties of…

Data Structures and Algorithms · Computer Science 2015-03-19 T. Herendi , R. Major