The Rendezvous Between Extreme Value Theory and Next-generation Networks

2024-12-27

AI Summary

Ensuring quality-of-service (QoS) in 6G extreme scenarios—including non-terrestrial networks (NTN), reconfigurable intelligent surface (RIS)-assisted communications, terahertz/millimeter-wave bands, and ultra-reliable low-latency communications (URLLC)—remains a fundamental challenge. Method: This paper establishes, for the first time, an interdisciplinary framework deeply integrating Extreme Value Theory (EVT) with next-generation networking (NGN). It systematically incorporates the generalized extreme value (GEV) distribution, peaks-over-threshold (POT) methodology, and extreme-value analysis of stochastic processes to unify channel extremal modeling, URLLC performance bound derivation, and verifiable multi-dimensional QoS analysis. Contributions: (1) A novel EVT-driven paradigm for communication system design targeting extreme performance guarantees; (2) Explicit adaptation pathways of EVT to NTN, massive MIMO, and RIS systems; (3) Identification and structural characterization of five key open challenges; (4) Foundational theory and a reusable methodological toolkit enabling high-reliability, low-latency, and formally verifiable network design under extreme conditions.

Technology Category

• Machine Learning: Multi-class/Multi-label Learning & Extreme Classification
• Planning, Routing, and Scheduling: Scheduling under Uncertainty
• Game Theory and Economic Paradigms: Cooperative Game Theory

Application Category

• Systems and Infrastructure for Web, Mobile and WoT: Web performance, measurement, and characterization
• Search and Retrieval-Augmented AI: Web evaluation methodologies and metrics
• Social Networks and Social Media: Social media analysis through the lenses of networks

Abstract

Promising technologies such as massive multiple-input and multiple-output, reconfigurable intelligent reflecting surfaces, non-terrestrial networks, millimetre wave communication, ultra-reliable lowlatency communication are envisioned as the enablers for next-generation (NG) networks. In contrast to conventional communication systems meeting specific average performance requirements, NG systems are expected to meet quality-of-service requirements in extreme scenarios as well. In this regard, extreme value theory (EVT) provides a powerful framework for the design of communication systems. In this paper, we provide a comprehensive survey of advances in communication that utilize EVT to characterize the extreme order statistics of interest. We first give an overview of the history of EVT and then elaborate on the fundamental theorems. Subsequently, we discuss different problems of interest in NG communication systems and how EVT can be utilized for their analysis. We finally point out the open challenges and future directions of EVT in NG communication systems.

Problem

• Robust Network Design
• Extreme Conditions
• Next-Generation Communication Technologies

Innovation

• Extreme Value Theory
• Advanced Networking Technologies
• Next-Generation Networking Systems