CIF: Medium: Collaborative Research: Scalable Learning of Nonlinear Models in Large Neural Populations

理解大脑中信息处理的基础是能够系统地表征构成感知和认知基础的神经回路的结构和动态的方法。微皮质电图（µECoG）是使用直接放置在大脑暴露表面的微电极来记录大脑皮层电活动的做法。微ECoG的最新进展为以前所未有的空间和时间分辨率观察神经皮层的大区域提供了独特的机会。然而，揭示复杂神经回路的结构是具有挑战性的。这个跨学科项目开发了学习高维非线性系统的方法，特别关注这些系统，因为它们出现在皮层网络中，并在最先进的微ECoG系统上验证这些技术。本文考虑了三个推力：第一个考虑了高维动态系统中状态估计的一般问题，使用了包括分布卡尔曼和粒子滤波以及图形模型的分解方法。主要目标是提供具有可证明保证的计算可伸缩和灵活的方法。第二种方法将这些状态估计方法与贝叶斯参数估计和压缩感知技术相结合，以识别网络中的连通性和非线性动态。第三部分验证了这些方法对微ECoG阵列神经模型的识别。探讨了在神经映射、听觉和视觉刺激解码方面的应用。特别是，该项目试图通过一种新颖的、灵活的、高分辨率的电极阵列来演示使用大鼠初级听觉皮层和猫视觉皮层记录的方法。

Fundamental to understanding information processing in the brain are methods that can systematically characterize the structure and dynamics of neural circuits that underlie perception and cognition. Micro- electrocorticography (µECoG) is the practice of using microelectrodes placed directly on the exposed surface of the brain to record electrical activity from the cerebral cortex. Recent advances in µECoG provide unique opportunities to observe large regions of the neural cortex at unprecedented spatial and temporal resolution. However, uncovering the structure of complex neural circuits is challenging. This interdisciplinary project develops methods for learning high-dimensional nonlinear systems with a particular focus on these systems as they arise in cortical networks and validates these techniques on state-of-the-art µECoG systems.Three thrusts are considered: The first considers the general problem of state estimation in high-dimensional dynamical systems using decomposition methods including distributed Kalman and particle filtering and graphical models. The main goal is to provide computationally scalable and flexible approaches with provable guarantees. The second combines these state estimation methods with Bayesian parameter estimation and compressed sensing techniques to identify connectivity and nonlinear dynamics in the networks. The third validates these methods on identification of neural models from µECoG arrays. Applications to neural mapping, auditory and visual stimuli decoding are explored. In particular, the project seeks to demonstrate the method on using recordings from rat primary auditory cortex and cat visual cortex using a novel, flexible, high-resolution electrode array.