A Copula-based Semantics-Structure Minimization Framework for QoS Guaranteed Wireless Communications

2025-11-10

AI Summary

Minimal structural semantic transmission in emergency communications lacks quantifiable QoS guarantees and a rigorous theoretical foundation. Method: This paper establishes a Copula-based joint semantic-structural minimization framework, proposing four axioms and proving that the pairwise rank-Copula family constitutes a minimal sufficient representation of minimal structural semantics. It further derives an end-to-end service-level agreement theorem and a semantic source-channel separation theorem—yielding the first provable QoS guarantees for semantic communication—and introduces Jensen–Shannon divergence to define semantic distortion, deriving both sample complexity bounds and rate-distortion limits. Results: Experiments validate that the proposed core metrics strictly satisfy all axioms, whereas conventional perception-based metrics fail to do so, confirming the framework’s fundamental advances in theoretical consistency and QoS assurance capability.

Technology Category

• Multiagent Systems: Agent Communication
• Reasoning under Uncertainty: Other Foundations of Reasoning under Uncertainty
• Knowledge Representation and Reasoning: Qualitative Reasoning

Application Category

• Semantics and Knowledge: Provenance, trust, security and privacy, and ethical issues in managing semantic data
• Security and Privacy: Large-scale security measurements
• Search and Retrieval-Augmented AI: Web evaluation methodologies and metrics

Abstract

Current empirically driven research on semantic communication lacks a unified theoretical foundation, preventing quantifiable Quality of Service guarantees, particularly for transmitting minimal structural semantics in emergency scenarios. This deficiency limits its evolution into a predictable engineering science. To address this, we establish a complete theoretical axiomatic basis for this problem. We propose four axioms and rigorously prove that the family of pairwise rank-Copulas is the minimal sufficient representation for minimal structural semantics. Based on this, we construct a semantic distortion metric, centered on the Jensen-Shannon divergence. We then establish the core theoretical boundaries of the framework: sample complexity bounds; rate-distortion bounds; an end-to-end Service Level Agreements theorem; and a semantic source-channel separation theorem, which provides a provable Quality of Service guarantee. Finally, we validate our framework through decoupled experiments, empirically demonstrating that our core metric strictly adheres to our foundational axioms while standard perceptual metrics fail to do so.

Problem

• Lacks unified theoretical foundation for semantic communication guarantees
• Prevents quantifiable QoS guarantees in wireless emergency communications
• Needs minimal structural semantics transmission with provable performance

Innovation

• Establishes axiomatic basis using pairwise rank-Copulas
• Constructs semantic distortion metric with Jensen-Shannon divergence
• Provides theoretical QoS guarantees through semantic separation theorems