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Communication Dans Un Congrès Année : 2024

Rate-Loss Regions for Polynomial Regression with Side Information

Résumé

In the context of goal-oriented communications, this paper addresses the achievable rate versus generalization error region of a learning task applied on compressed data. The study focuses on the distributed setup where a source is compressed and transmitted through a noiseless channel to a receiver performing polynomial regression, aided by side information available at the decoder. The paper provides the asymptotic rate generalization error region, and extends the analysis to the non-asymptotic regime. Additionally, it investigates the asymptotic trade-off between polynomial regression and data reconstruction under communication constraints. The proposed achievable scheme is shown to achieve the minimum generalization error as well as the optimal rate-distortion region.
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Dates et versions

hal-04578256 , version 1 (28-05-2024)

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  • HAL Id : hal-04578256 , version 1

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Jiahui Wei, Philippe Mary, Elsa Dupraz. Rate-Loss Regions for Polynomial Regression with Side Information. International Zurich Seminar on Information and Communication (IZS), Mar 2024, Zurich, Switzerland. ⟨hal-04578256⟩
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