arXiv:2509.24919cs.AIq-bio.NC2025-09

用贝叶斯元学习将理论预测转为可训练的概率模型,提升神经科学数据拟合精度。

Meta-Learning Theory-Informed Inductive Biases using Deep Kernel Gaussian Processes

  • 通过元学习生成理论驱动的核函数,实现从理论到概率模型的自动转换
  • 在小鼠视网膜细胞数据上预测准确率显著优于传统数据驱动方法
  • 支持理论匹配度量化评估,适合需解释性与不确定性建模的研究

规范性理论和任务驱动理论为生物系统提供了强大的自上而下解释,但定量比较竞争理论并将其作为归纳偏置用于真实生物数据的拟合,往往耗时且难以实现。为此,我们提出一种贝叶斯元学习框架,可自动将规范性理论的原始功能预测转化为可处理的概率模型。采用自适应深度核高斯过程,在理论生成的合成数据上元学习核函数,构建出代表理论预测的随机模型,可用于数据拟合与理论严谨验证。以视觉系统早期处理为例,使用高效编码理论作为范例,我们在自然场景刺激下的小鼠视网膜神经节细胞离体记录中,实现了比传统数据驱动基线更高的响应预测准确率,同时提供校准良好的不确定性估计与可解释表示。通过精确贝叶斯模型选择,我们还验证了该方法能准确从数据中推断理论匹配程度,确认了对理论结构的忠实封装。本工作为神经科学及其他领域中将理论知识融入数据驱动研究提供了一种更通用、可扩展且自动化的途径。

原文摘要 · Abstract (English)

Normative and task-driven theories offer powerful top-down explanations for biological systems, yet the goals of quantitatively arbitrating between competing theories, and utilizing them as inductive biases to improve data-driven fits of real biological datasets are prohibitively laborious, and often impossible. To this end, we introduce a Bayesian meta-learning framework designed to automatically convert raw functional predictions from normative theories into tractable probabilistic models. We employ adaptive deep kernel Gaussian processes, meta-learning a kernel on synthetic data generated from a normative theory. This Theory-Informed Kernel specifies a probabilistic model representing the theory predictions -- usable for both fitting data and rigorously validating the theory. As a demonstration, we apply our framework to the early visual system, using efficient coding as our normative theory. We show improved response prediction accuracy in ex vivo recordings of mouse retinal ganglion cells stimulated by natural scenes compared to conventional data-driven baselines, while providing well-calibrated uncertainty estimates and interpretable representations. Using exact Bayesian model selection, we also show that our informed kernel can accurately infer the degree of theory-match from data, confirming faithful encapsulation of theory structure. This work provides a more general, scalable, and automated approach for integrating theoretical knowledge into data-driven scientific inquiry in neuroscience and beyond.

元学习贝叶斯模型理论融合神经科学

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