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Transformer models contain substantial internal redundancy arising from coordinate-dependent representations and continuous symmetries, in model space and in head space, respectively. While recent approaches address this by explicitly…

Machine Learning · Computer Science 2026-02-24 J. François , L. Ravera

The deployment of machine learning (ML)-based process monitoring systems has significantly advanced additive manufacturing (AM) by enabling real-time defect detection, quality assessment, and process optimization. However, redundancy is a…

Computational Engineering, Finance, and Science · Computer Science 2025-05-01 Jiarui Xie , Yaoyao Fiona Zhao

We propose a new algorithm for the solution of the robust multiple-load topology optimization problem. The algorithm can be applied to any type of problem, e.g., truss topology, variable thickness sheet or free material optimization. We…

Optimization and Control · Mathematics 2013-07-30 Michal Kocvara

This paper considers master equations for Markovian kinetic schemes that possess the detailed balance property. Chemical kinetics, as a prime example, often yields large-scale, highly stiff equations. Based on chemical intuitions, Sumiya et…

Numerical Analysis · Mathematics 2023-12-12 Satoru Iwata , Taihei Oki , Shinsaku Sakaue

This work presents an approach for robots to suitably carry out complex applications characterized by the presence of multiple additional constraints or subtasks (e.g. obstacle and self-collision avoidance) but subject to redundancy…

Robotics · Computer Science 2020-12-11 Lu Chen , Lipeng Chen , Xiangchi Chen , Yi Ren , Longfei Zhao , Yue Wang , Rong Xiong

Multi-threaded programs have many applications which are widely used such as operating systems. Analyzing multi-threaded programs differs from sequential ones; the main feature is that many threads execute at the same time. The effect of…

Software Engineering · Computer Science 2011-11-04 Mohamed A. El-Zawawy , Hamada A. Nayel

Researchers and practitioners in the field of reliability engineering and optimization frequently use active redundancy techniques to intensify the performance of systems. In this article, we study allocation strategies of non-matching…

Applications · Statistics 2026-05-18 Bidhan Modok , Shovan Chowdhury , Amarjit Kundu

Edge computing operates between the cloud and end users and strives to provide low-latency computing services for simultaneous users. Redundant use of multiple edge nodes can reduce latency, as edge systems often operate in uncertain…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-26 Pei Peng , Emina Soljanin

In topology optimization, the state of structures is typically obtained by numerically evaluating a discretized PDE-based model. The degrees of freedom of such a model can be partitioned in free and prescribed sets to define the boundary…

Computational Engineering, Finance, and Science · Computer Science 2022-04-06 Stijn Koppen , Matthijs Langelaar , Fred van Keulen

Starting from a linear fractional representation of a linear system affected by constant parametric uncertainties, we demonstrate how to enhance standard robust analysis tests by taking available (noisy) input-output data of the uncertain…

Optimization and Control · Mathematics 2023-03-27 Tobias Holicki , Carsten W. Scherer

Triple Modular Redundancy (TMR) has been traditionally used to ensure complete tolerance to a single fault or a faulty processing unit, where the processing unit may be a circuit or a system. However, TMR incurs more than 200% overhead in…

Hardware Architecture · Computer Science 2023-11-02 P Balasubramanian , D L Maskell

The finite element computation of structures such as waveguides can lead to heavy computations when the length of the structure is large compared to the wavelength. Such waveguides can in fact be seen as one-dimensional periodic structures.…

Classical Physics · Physics 2015-05-13 Denis Duhamel

Many complex engineering systems consist of multiple subsystems that are developed by different teams of engineers. To analyse, simulate and control such complex systems, accurate yet computationally efficient models are required. Modular…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Lars A. L. Janssen , Bart Besselink , Rob H. B. Fey , Nathan van de Wouw

In cloud computing systems, assigning a task to multiple servers and waiting for the earliest copy to finish is an effective method to combat the variability in response time of individual servers, and reduce latency. But adding redundancy…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-13 Gauri Joshi , Emina Soljanin , Gregory Wornell

This paper proposes a signature-based approach for solving redundancy allocation problems when component lifetimes are not only heterogeneous but also dependent. The two common schemes for allocations, that is active and standby…

Other Statistics · Statistics 2017-08-24 Mahdi Doostparast

Reduced density matrix functional theory for the case of solids is presented and a new exchange correlation functional based on a fractional power of the density matrix is introduced. We show that compared to other functionals, this…

Materials Science · Physics 2009-11-13 S. Sharma , J. K. Dewhurst , N. N. Lathiotakis , E. K. U. Gross

In addition to recent developments in computing speed and memory, methodological advances have contributed to significant gains in the performance of stochastic simulation. In this paper, we focus on variance reduction for matrix…

Machine Learning · Statistics 2023-03-28 Anant Mathur , Sarat Moka , Zdravko Botev

In this paper we focus on the solution of shifted quasiseparable systems and of more general parameter dependent matrix equations with quasiseparable representations. We propose an efficient algorithm exploiting the invariance of the…

Numerical Analysis · Mathematics 2017-08-07 Paola Boito , Yuli Eidelman , Luca Gemignani

Redundancy identification is an important step of the design flow that typically follows logic synthesis and optimization. In addition to reducing circuit area, power consumption, and delay, redundancy removal also improves testability. All…

Data Structures and Algorithms · Computer Science 2015-03-24 Maxim Teslenko , Elena Dubrova

Several systems possess the flexibility to serve requests in more than one way. For instance, a distributed storage system storing multiple replicas of the data can serve a request from any of the multiple servers that store the requested…

Networking and Internet Architecture · Computer Science 2013-11-13 Nihar B. Shah , Kangwook Lee , Kannan Ramchandran