arXiv:2409.03710cs.LGq-bio.NC2024-09ICLR被引 1

用神经网络加速贝叶斯决策模型反推,提升行为分析精度与效率。

Inverse decision-making using neural amortized Bayesian actors

论文配图:Inverse decision-making using neural amortized Bayesian actors
图 1 · 摘自论文原文
  • 用神经网络预训练替代复杂积分,实现贝叶斯决策的高效推断
  • 在合成数据上后验分布与解析解高度一致,无解析解时逼近真实值
  • 可区分先验与代价函数影响,适用于个体行为模式建模

贝叶斯观察者与决策者模型为感知、运动控制等认知科学现象提供了规范解释,将行为变异性与偏差归因于可解释的要素,如感知与运动不确定性、先验信念及行为代价。然而,在连续动作的自然任务中,贝叶斯决策问题通常解析不可解。逆决策(即从行为数据推断模型参数)计算更困难,因此研究者常限制模型为高斯分布或二次代价函数,或依赖数值近似。本文提出一种神经网络摊销贝叶斯决策者的方法,通过在大量参数设置上无监督训练,使后续推断可高效进行梯度优化。在合成数据上,推断后验分布与解析解高度吻合;当无解析解时,仍能逼近真实后验。方法支持模型间严谨比较,并可分离先验与代价函数带来的不可识别性。最后应用于三个感觉运动任务的实证数据,验证其能有效解释个体行为模式。

原文摘要 · Abstract (English)

Bayesian observer and actor models have provided normative explanations for many behavioral phenomena in perception, sensorimotor control, and other areas of cognitive science and neuroscience. They attribute behavioral variability and biases to interpretable entities such as perceptual and motor uncertainty, prior beliefs, and behavioral costs. However, when extending these models to more naturalistic tasks with continuous actions, solving the Bayesian decision-making problem is often analytically intractable. Inverse decision-making, i.e. performing inference over the parameters of such models given behavioral data, is computationally even more difficult. Therefore, researchers typically constrain their models to easily tractable components, such as Gaussian distributions or quadratic cost functions, or resort to numerical approximations. To overcome these limitations, we amortize the Bayesian actor using a neural network trained on a wide range of parameter settings in an unsupervised fashion. Using the pre-trained neural network enables performing efficient gradient-based Bayesian inference of the Bayesian actor model's parameters. We show on synthetic data that the inferred posterior distributions are in close alignment with those obtained using analytical solutions where they exist. Where no analytical solution is available, we recover posterior distributions close to the ground truth. We then show how our method allows for principled model comparison and how it can be used to disentangle factors that may lead to unidentifiabilities between priors and costs. Finally, we apply our method to empirical data from three sensorimotor tasks and compare model fits with different cost functions to show that it can explain individuals' behavioral patterns.

贝叶斯推理行为建模神经网络逆决策

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