Confidence and second-order errors in cortical circuits

Arno Granier, Mihai A Petrovici, Walter Senn, Katharina A Wilmes
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Abstract

Minimization of cortical prediction errors has been considered a key computational goal of the cerebral cortex underlying perception, action and learning. However, it is still unclear how the cortex should form and use information about uncertainty in this process. Here, we formally derive neural dynamics that minimize prediction errors under the assumption that cortical areas must not only predict the activity in other areas and sensory streams but also jointly project their confidence (inverse expected uncertainty) in their predictions. In the resulting neuronal dynamics, the integration of bottom-up and top-down cortical streams is dynamically modulated based on confidence in accordance with the Bayesian principle. Moreover, the theory predicts the existence of cortical second-order errors, comparing confidence and actual performance. These errors are propagated through the cortical hierarchy alongside classical prediction errors and are used to learn the weights of synapses responsible for formulating confidence. We propose a detailed mapping of the theory to cortical circuitry, discuss entailed functional interpretations and provide potential directions for experimental work.
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皮层电路中的置信度和二阶误差
最大限度地减少大脑皮层的预测误差一直被认为是大脑皮层在感知、行动和学习方面的一个关键计算目标。然而,大脑皮层在这一过程中应如何形成和使用不确定性信息仍不清楚。在这里,我们正式推导出了神经动力学,在皮层区域不仅必须预测其他区域和感觉流的活动,还必须共同预测其预测的置信度(反向预期不确定性)的假设下,预测误差最小化。在由此产生的神经元动力学中,根据贝叶斯原理,自下而上和自上而下的大脑皮层流的整合是根据置信度动态调节的。此外,该理论还预测了皮层二阶误差的存在,并将置信度与实际表现进行了比较。这些误差与经典预测误差一起在大脑皮层中传播,并被用于学习负责形成置信度的突触权重。我们提出了该理论与大脑皮层电路的详细映射,讨论了随之而来的功能解释,并提供了实验工作的潜在方向。
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