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Relevant bibliographies by topics / Lagrange Coded Computing

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Journal articles
Dissertations / Theses
Conference papers

Academic literature on the topic 'Lagrange Coded Computing'

Author: Grafiati

Published: 6 September 2023

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Journal articles on the topic "Lagrange Coded Computing"

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Soleymani, Mahdi, Hessam Mahdavifar, and A. Salman Avestimehr. "Analog Lagrange Coded Computing." IEEE Journal on Selected Areas in Information Theory 2, no. 1 (March 2021): 283–95. http://dx.doi.org/10.1109/jsait.2021.3056377.

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Asheralieva, Alia, and Dusit Niyato. "Fast and Secure Computational Offloading With Lagrange Coded Mobile Edge Computing." IEEE Transactions on Vehicular Technology 70, no. 5 (May 2021): 4924–42. http://dx.doi.org/10.1109/tvt.2021.3070723.

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Galetzka, Armin, Dimitrios Loukrezis, and Herbert De Gersem. "Three-dimensional data-driven magnetostatic field computation using real-world measurement data." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 41, no. 2 (December 1, 2021): 615–27. http://dx.doi.org/10.1108/compel-06-2021-0219.

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Purpose The purpose of this paper is to present the applicability of data-driven solvers to computationally demanding three-dimensional problems and their practical usability when using real-world measurement data. Design/methodology/approach Instead of using a hard-coded phenomenological material model within the solver, the data-driven computing approach reformulates the boundary value problem such that the field solution is directly computed on raw measurement data. The data-driven formulation results in a double minimization problem based on Lagrange multipliers, where the sought solution must conform to Maxwell’s equations while at the same time being as close as possible to the available measurement data. The data-driven solver is applied to a three-dimensional model of a direct current electromagnet. Findings Numerical results for data sets of increasing cardinality verify that the data-driven solver recovers the conventional solution. Additionally, the practical usability of the solver is shown by using real-world measurement data. This work concludes that the data-driven magnetostatic finite element solver is applicable to computationally demanding three-dimensional problems, as well as in cases where a prescribed material model is not available. Originality/value Although the mathematical derivation of the data-driven problem is well presented in the referenced papers, the application to computationally demanding real-world problems, including real measurement data and its rigorous discussion, is missing. The presented work closes this gap and shows the applicability of data-driven solvers to challenging, real-world test cases.

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Asheralieva, Alia, Dusit Niyato, and Zehui Xiong. "Auction-and-Learning Based Lagrange Coded Computing Model for Privacy-Preserving, Secure, and Resilient Mobile Edge Computing." IEEE Transactions on Mobile Computing, 2021, 1. http://dx.doi.org/10.1109/tmc.2021.3097380.

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Chung, Dang Huu. "On FSUM model and applications." Vietnam Journal of Mechanics 30, no. 4 (December 31, 2008). http://dx.doi.org/10.15625/0866-7136/30/4/5629.

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In this paper a 3D model (FSUM) on tidal flows with sediment transport and bed morphology process taking into account the temperature-salinity exchange in estuaries and coastal zones is introduced in more detail. The implicit finite difference method based on semi-Lagrange splitting is used. The software is coded with FORTRAN 90/95. The open boundary condition kinds together source/sink terms are well treated so that it can be applied to every computing domain with the complicated geometry. The software is validated and applied for many different cases and shows the ability of application in practice.

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"An Integrated Program to Simulate the Multibody Dynamics of Flapping Flight." JST: Smart Systems and Devices 31, no. 1 (May 15, 2020): 76–84. http://dx.doi.org/10.51316/jst.150.ssad.2021.31.1.10.

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This paper presents an in-house developed program that couples multibody dynamics and aerodynamics codes to simulate flapping flight of insects and micro air vehicles. The multibody dynamics code is built based on the numerical solution of the Lagrange equation, while the extended unsteady vortex-lattice method is employed to develop the aerodynamics code. The solution from the governing equation is obtained by the use of the fourth-order Runge-Kutta method and validated against the simulation results from a commercial software MSC Adams for a micro air vehicle model. In this work, parallel computing techniques are applied while estimating the aerodynamics force to minimize the running time of the program.

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Dissertations / Theses on the topic "Lagrange Coded Computing"

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Saraswathy, RM. "Optimal Redundancy in Distributed Systems for Latency and Repair." Thesis, 2021. https://etd.iisc.ac.in/handle/2005/5542.

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Distributed systems are employed in many modern storage and computing architecture for greater reliability and cost-efficiency. There are several important considerations in the design and implementation of such distributed systems, such as latency, availability, storage cost, among others. We look into the interplay between redundancy and the parameters, latency and repair for the design of such systems. Data is replicated and stored redundantly over multiple servers for availability in distributed databases. In this thesis, we first study the impact of redundancy on system latency in distributed databases. We focus on databases with frequent reads and writes, where both read and write latencies are important. This is in contrast to databases designed primarily for either read or write applications. Redundancy has contrasting effects on read and write latency. Read latency can be reduced by potential parallel access from multiple servers, whereas write latency increases as a larger number of replicas have to be updated. We quantify this tradeoff between read and write latency as a function of redundancy and provide a closed-form approximation when the request arrival is Poisson and the service is memoryless. We empirically show that this approximation is tight across all ranges of system parameters. Thus, we provide guidelines for redundancy selection in distributed databases. Further, we demonstrate the existence of optimal redundancy even in systems with non-memoryless service through simulations and experiments on practical systems. Secondly, we propose a redundant scheme that introduces repair locality in distributed computation. In contrast to the previous model, we consider performing computations other than simple read and write across the distributed system. In distributed computing, a computation job is split into multiple tasks, and the tasks are executed over multiple nodes. In such a setting, slow compute nodes, referred to as stragglers, pose a bottleneck on the job computation time. For distributed computing of multivariate polynomials, Lagrange coded computing (LCC) proposed in literature tolerates an optimal number of stragglers while providing security against adversaries. Introducing repair locality in this setting reduces the number of worker nodes contacted to recover a particular computation and allows clients/intermediate nodes to compute individual function outputs. We propose a distributed polynomial computing scheme, where data is encoded using Tamo-Barg codes with carefully chosen parameters. We show that the scheme tolerates a larger number of stragglers when compared to the repeated LCC and Product Lagrange coded schemes for certain parameters. Furthermore, we provide an alternate proof for the optimality of LCC for multilinear functions based on properties of multivariate polynomial interpolation.

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Conference papers on the topic "Lagrange Coded Computing"

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Subramaniam, Adarsh M., Anoosheh Heidarzadeh, Asit Kumar Pradhan, and Krishna R. Narayanan. "Product Lagrange Coded Computing." In 2020 IEEE International Symposium on Information Theory (ISIT). IEEE, 2020. http://dx.doi.org/10.1109/isit44484.2020.9174440.

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Fahim, Mohammad, and Viveck R. Cadambe. "Lagrange Coded Computing with Sparsity Constraints." In 2019 57th Annual Allerton Conference on Communication, Control, and Computing (Allerton). IEEE, 2019. http://dx.doi.org/10.1109/allerton.2019.8919966.

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Xiong, Bohang, Jing Tian, and Zhongfeng Wang. "A High-Speed Codec Architecture for Lagrange Coded Computing." In 2022 IEEE International Symposium on Circuits and Systems (ISCAS). IEEE, 2022. http://dx.doi.org/10.1109/iscas48785.2022.9937664.

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Raviv, Netanel, Qian Yu, Jehoshua Bruck, and Salman Avestimehr. "Download and Access Trade-offs in Lagrange Coded Computing." In 2019 IEEE International Symposium on Information Theory (ISIT). IEEE, 2019. http://dx.doi.org/10.1109/isit.2019.8849547.

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Zhu, Jinbao, and Songze Li. "Generalized Lagrange Coded Computing: A Flexible Computation-Communication Tradeoff." In 2022 IEEE International Symposium on Information Theory (ISIT). IEEE, 2022. http://dx.doi.org/10.1109/isit50566.2022.9834535.

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Ni, Weiquan, Shaoliang Zhu, Md Monjurul Karim, Alia Asheralieva, Jiawen Kang, Zehui Xiong, and Carsten Maple. "Lagrange Coded Federated Learning (L-CoFL) Model for Internet of Vehicles." In 2022 IEEE 42nd International Conference on Distributed Computing Systems (ICDCS). IEEE, 2022. http://dx.doi.org/10.1109/icdcs54860.2022.00088.

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Dauch, T., S. Braun, L. Wieth, G. Chaussonnet, M. Keller, R. Koch, and H. J. Bauer. "Computation of Liquid Fuel Atomization and Mixing by Means of the SPH Method: Application to a Jet Engine Fuel Nozzle." In ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/gt2016-56023.

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At the “Institut für Thermische Strömungsmaschinen” (ITS) a numerical method based on the the meshfree “Smoothed Particle Hydrodynamics” (SPH) approach has been developed with the objective of computing primary breakup in the vicinity of fuel spray nozzles [1, 2]. In recent publications the successful application of the code to different flow problems is demonstrated [3, 4]. In this paper we present the first application of the method to investigate a simplified, but applied fuel spray nozzle geometry of the swirl cup design in 2D. The atomization process of Jet-A1 at ambient and at high pressure conditions is compared in terms of film flow development, mixing and spray characteristics. The influence of pressure is pointed out and quantified. The study demonstrates that the SPH method is a suitable toolbox for the analysis and the design of fuel spray nozzles. Unique analysis tools that are not available in grid-based CFD methods are presented and applied. Droplet distributions are extracted, which can be considered as possible input in subsequent Euler-Lagrange computations.

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Sabitov, Denis, Hussain AlBahrani, and Osman Hamid. "Stability Analysis for Sidetracked Wells in Poro-Elastoplastic Formations." In Middle East Oil, Gas and Geosciences Show. SPE, 2023. http://dx.doi.org/10.2118/213305-ms.

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Abstract In this study, we formulate the Finite Element model (FEM) of the stress-strain state for a three-dimensional (3D) borehole section with a sidetracked hole in fluid saturated elastoplastic formation. We then investigate the dependence of the safe mud weight range on the build angle while considering the plastic rock deformation behavior. The objective here is to showcase the unique drilling recommendations that can be generated for the sidetrack initiation or junction point, especially when compared to those of the mother-bore. 3D meshes are developed to analyze sidetracking scenarios in terms of orientation and initiation points with respect to the mother-bore. We utilize a 3D poro-elastoplastic model to take into account the pore pressure, using the concept of Biot-Terzaghi effective stresses. The Galerkin weak formulation is used to obtain the equations in discrete form. A robust solution of the static problem for elastoplastic body with stress boundary conditions is ensured by adding the Lagrange multipliers to set the constrains on rotation and translation of the solid as a rigid body. We utilize the Newton-Rapson method to get the solution of the equilibrium equation by providing the non-linear iterations. We demonstrate the ability to determine a safe mud weight range by computing several scenarios for in-situ stresses in a sandstone formation. The scenarios consider changes in the borehole orientation angles and the junction or initiation point. The scenarios also analyze the dependence of the stress-strain state near the sidetracked borehole section on the existing mother-bore. The shape and thickness of the plastic zone strongly depends on the orientation of the borehole and applied pore pressure distribution. Utilizing the elastoplastic model, we implement the procedure to find the optimal build angle for the design of sidetracking sections considering the hole orientation and geometry. The developed code for poro-elastoplastic formations is realistic alternative to conventional geomechanics models that fail to consider the influence of the mother-bore on the drilling conditions of the sidetrack.

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