用概率模型提升金刚石氮空位温感器的测温精度与泛化能力
Evaluating probabilistic and data-driven inference models for fiber-coupled NV-diamond temperature sensors
- 基于自微分的概率前馈模型,利用自旋哈密顿量参数温度依赖性推断温度
- 243–323 K 范围内预测误差仅±1 K,外推时性能优于数据驱动方法
- 适合需要高可靠性外推的量子传感场景,尤其在缺乏先验知识时
我们评估了不同推断模型对连续波光探测磁共振(ODMR)测温不确定性的影响。采用基于自动微分的概率前馈模型,最大化观测到的ODMR谱的似然性,有效利用自旋哈密顿量参数的温度依赖性,从光谱特征中推断温度。在243 K至323 K范围内实现±1 K的预测不确定性。为基准对比,将该模型与非参数峰检测法、主成分回归(PCR)和一维卷积神经网络(CNN)进行比较。在与训练数据相同温度范围的外样本验证中,数据驱动方法的不确定性可低至0.67 K,无需依赖光谱-温度关系的专家知识。然而,当需外推至训练范围之外时,概率模型表现更优;而PCR与CNN的不确定性最高可恶化十倍。
原文摘要 · Abstract (English)
We evaluate the impact of inference model on uncertainties when using continuous wave Optically Detected Magnetic Resonance (ODMR) measurements to infer temperature. Our approach leverages a probabilistic feedforward inference model designed to maximize the likelihood of observed ODMR spectra through automatic differentiation. This model effectively utilizes the temperature dependence of spin Hamiltonian parameters to infer temperature from spectral features in the ODMR data. We achieve prediction uncertainty of $\pm$ 1 K across a temperature range of 243 K to 323 K. To benchmark our probabilistic model, we compare it with a non-parametric peak-finding technique and data-driven methodologies such as Principal Component Regression (PCR) and a 1D Convolutional Neural Network (CNN). We find that when validated against out-of-sample dataset that encompasses the same temperature range as the training dataset, data driven methods can show uncertainties that are as much as 0.67 K lower without incorporating expert-level understanding of the spectroscopic-temperature relationship. However, our results show that the probabilistic model outperforms both PCR and CNN when tasked with extrapolating beyond the temperature range used in training set, indicating robustness and generalizability. In contrast, data-driven methods like PCR and CNN demonstrate up to ten times worse uncertainties when tasked with extrapolating outside their training data range.
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