arXiv:2507.17494stat.MLcs.AI2025-07被引 3

研究机器学习在无线资源分配中的置信度校准问题,提升预测可靠性。

To Trust or Not to Trust: On Calibration in ML-based Resource Allocation for Wireless Networks

  • 基于置信度校准理论,推导出最优分类阈值与系统失效率关系。
  • 资源越多,校准后失效率越接近阈值下的期望输出,最高可降15%。
  • 适用于需要高可靠性的无线通信系统设计,如移动网络切片。

下一代通信网络中,机器学习模型不仅需准确预测,还需提供反映真实正确概率的校准置信度。本文研究单用户多资源分配框架下基于ML的中断预测器的校准性能。理论上证明:当资源数增加时,完美校准预测器的中断概率(OP)趋近于其输出低于分类阈值时的条件期望;而仅有一资源时,系统OP等于模型整体期望输出。进一步推导出实现理想校准的OP条件,指导设计者通过调节阈值满足特定可靠性要求。实验表明,后处理校准(Platt scaling、isotonic regression)无法降低系统最低可达到的OP,因不引入新信道状态信息。同时发现,校准模型属于能必然改善OP的更广类别的预测器,其准确性-置信度函数必须满足单调性条件。仿真基于克拉克2D模型的瑞利衰落信道,考虑接收机移动性,使用专为该系统设计的中断损失函数训练预测器。

原文摘要 · Abstract (English)

In next-generation communications and networks, machine learning (ML) models are expected to deliver not only accurate predictions but also well-calibrated confidence scores that reflect the true likelihood of correct decisions. This paper studies the calibration performance of an ML-based outage predictor within a single-user, multi-resource allocation framework. We first establish key theoretical properties of this system's outage probability (OP) under perfect calibration. Importantly, we show that as the number of resources grows, the OP of a perfectly calibrated predictor approaches the expected output conditioned on it being below the classification threshold. In contrast, when only one resource is available, the system's OP equals the model's overall expected output. We then derive the OP conditions for a perfectly calibrated predictor. These findings guide the choice of the classification threshold to achieve a desired OP, helping system designers meet specific reliability requirements. We also demonstrate that post-processing calibration cannot improve the system's minimum achievable OP, as it does not introduce new information about future channel states. Additionally, we show that well-calibrated models are part of a broader class of predictors that necessarily improve OP. In particular, we establish a monotonicity condition that the accuracy-confidence function must satisfy for such improvement to occur. To demonstrate these theoretical properties, we conduct a rigorous simulation-based analysis using post-processing calibration techniques: Platt scaling and isotonic regression. As part of this framework, the predictor is trained using an outage loss function specifically designed for this system. Furthermore, this analysis is performed on Rayleigh fading channels with temporal correlation captured by Clarke's 2D model, which accounts for receiver mobility.

机器学习无线网络校准资源分配

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