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On the Rate-Distortion Theory for Task-Specific Semantic Communication.

Jingxuan Chai1, Huixiang Zhu2, Yong Xiao2,3,4

  • 1School of Artificial Intelligence, Xidian University, Xi'an 710126, China.

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|August 28, 2025
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Summary
This summary is machine-generated.

This study introduces a task-specific rate-distortion theory for semantic communication, enabling unified quantification of meaning delivery. It analyzes how different semantic distance measures impact achievable rates for tasks like classification and signal generation.

Keywords:
rate-distortion theorysemantic communicationtask-specific communication

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Area of Science:

  • Information Theory
  • Communication Engineering
  • Computer Science

Background:

  • Semantic communication aims to transmit meaning, unlike traditional systems focused on symbol accuracy.
  • Emerging applications like extended reality (XR) and holographic communication demand meaning-centric transmission.
  • Existing frameworks lack a unified approach for rate-distortion tradeoffs with diverse semantic distance metrics.

Purpose of the Study:

  • To develop a unified theoretical framework for semantic communication's rate-distortion tradeoff.
  • To incorporate task-specific semantic distance measures into the rate-distortion analysis.
  • To investigate the impact of different semantic distance metrics on achievable communication rates.

Main Methods:

  • Proposed a task-specific rate-distortion theory for semantic communication.
  • Considered two distinct tasks: classification and signal generation.
  • Derived closed-form expressions for semantic rate-distortion functions for these tasks.

Main Results:

  • Presented a unified framework for quantifying semantic communication rate-distortion.
  • Derived closed-form expressions for semantic rate-distortion functions for classification and signal generation tasks.
  • Demonstrated performance comparisons under various scenarios.

Conclusions:

  • The proposed theory provides a unified approach to semantic communication rate-distortion analysis.
  • Task-specific semantic distance measures significantly influence achievable communication rates.
  • Theoretical results are validated through extensive experimental evaluations.