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同步记录神经种群的回归线性模型

Recurrent linear models of simultaneously-recorded neural populations
课程网址: http://videolectures.net/machine_sahani_neural_populations/  
主讲教师: Maneesh Sahani
开课单位: 伦敦大学
开课时间: 2014-10-07
课程语种: 英语
中文简介:
通常,根据共享的底层低维动态过程,可以最好地理解具有长时域结构的人口神经记录。记录技术的进步使人们可以访问更大比例的人口,但是可用于识别集体动态的标准计算方法却无法随数据集的大小扩展。在这里,我们描述了一种新的,可扩展的方法来发现低维动态,该低维动态是来自神经种群的同时记录的尖峰序列的基础。我们的方法基于递归线性模型(RLM),并且与基于递归神经网络的时间序列模型密切相关。我们通过对潜在线性动力系统(LDS)模型进行归纳基于卡尔曼滤波的似然计算,并结合广义的线性观测过程,为神经数据制定RLM。我们显示,与直接耦合的广义线性模型或具有广义线性观测的潜在线性动力学系统模型相比,RLM能够更好地描述运动皮层总体数据。我们还介绍了级联线性模型(CLM),以捕获神经群体中的低维瞬时相关性。 CLM比Ising或Gaussian模型更好地描述了皮质录音,并且像RLM一样,可以准确快速地拟合。 CLM也可以看作是低阶高斯模型的泛化,在这种情况下是因子分析。 RLM和CLM的计算可处理性使它们都可以扩展到非常高维的神经数据。
课程简介: Population neural recordings with long-range temporal structure are often best understood in terms of a shared underlying low-dimensional dynamical process. Advances in recording technology provide access to an ever larger fraction of the population, but the standard computational approaches available to identify the collective dynamics scale poorly with the size of the dataset. Here we describe a new, scalable approach to discovering the low-dimensional dynamics that underlie simultaneously recorded spike trains from a neural population. Our method is based on recurrent linear models (RLMs), and relates closely to timeseries models based on recurrent neural networks. We formulate RLMs for neural data by generalising the Kalman-filter-based likelihood calculation for latent linear dynamical systems (LDS) models to incorporate a generalised-linear observation process. We show that RLMs describe motor-cortical population data better than either directly-coupled generalised-linear models or latent linear dynamical system models with generalised-linear observations. We also introduce the cascaded linear model (CLM) to capture low-dimensional instantaneous correlations in neural populations. The CLM describes the cortical recordings better than either Ising or Gaussian models and, like the RLM, can be fit exactly and quickly. The CLM can also be seen as a generalization of a low-rank Gaussian model, in this case factor analysis. The computational tractability of the RLM and CLM allow both to scale to very high-dimensional neural data.
关 键 词: 递归线性模型; 回归线性模型
课程来源: 视频讲座网
数据采集: 2020-12-27:zyk
最后编审: 2020-12-28:zyk
阅读次数: 42