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A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
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Berrut Approximated Coded Computing: Straggler Resistance Beyond Polynomial Computing.

Tayyebeh Jahani-Nezhad, Mohammad Ali Maddah-Ali

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    Summary

    Berrut Approximated Coded Computing (BACC) offers a numerically stable solution to the stragglers effect in distributed learning. This novel approach enhances convergence rates for training complex models, outperforming existing methods.

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    Area of Science:

    • Computer Science
    • Machine Learning
    • Distributed Systems

    Background:

    • The stragglers effect hinders distributed learning with large datasets.
    • Coded computation offers redundancy but has limitations: polynomial functions only, server count dependency, and numerical instability.

    Purpose of the Study:

    • Introduce Berrut Approximated Coded Computing (BACC) as a robust alternative.
    • Address limitations of existing coded computation methods.

    Main Methods:

    • Developed BACC, a numerically stable approach for coded computation.
    • Extended applicability beyond polynomial functions.
    • Demonstrated theoretical accuracy and verified through simulations.

    Main Results:

    • BACC provides a numerically stable solution for distributed learning.
    • The method is applicable beyond polynomial functions and with flexible server counts.
    • Simulations confirm theoretical accuracy and improved convergence rates.

    Conclusions:

    • BACC effectively mitigates the stragglers effect in distributed learning.
    • It enables training complex models like deep neural networks more efficiently.
    • BACC outperforms uncoded solutions in convergence rate and numerical stability.