Esposito Fabrizio, Formisano Elia, Seifritz Erich, Goebel Rainer, Morrone Renato, Tedeschi Gioacchino, Di Salle Francesco
Institute of Neurological Sciences, Second University of Naples, Italy.
Hum Brain Mapp. 2002 Jul;16(3):146-57. doi: 10.1002/hbm.10034.
Independent component analysis (ICA) has been successfully employed to decompose functional MRI (fMRI) time-series into sets of activation maps and associated time-courses. Several ICA algorithms have been proposed in the neural network literature. Applied to fMRI, these algorithms might lead to different spatial or temporal readouts of brain activation. We compared the two ICA algorithms that have been used so far for spatial ICA (sICA) of fMRI time-series: the Infomax (Bell and Sejnowski [1995]: Neural Comput 7:1004-1034) and the Fixed-Point (Hyvärinen [1999]: Adv Neural Inf Proc Syst 10:273-279) algorithms. We evaluated the Infomax- and Fixed Point-based sICA decompositions of simulated motor, and real motor and visual activation fMRI time-series using an ensemble of measures. Log-likelihood (McKeown et al. [1998]: Hum Brain Mapp 6:160-188) was used as a measure of how significantly the estimated independent sources fit the statistical structure of the data; receiver operating characteristics (ROC) and linear correlation analyses were used to evaluate the algorithms' accuracy of estimating the spatial layout and the temporal dynamics of simulated and real activations; cluster sizing calculations and an estimation of a residual gaussian noise term within the components were used to examine the anatomic structure of ICA components and for the assessment of noise reduction capabilities. Whereas both algorithms produced highly accurate results, the Fixed-Point outperformed the Infomax in terms of spatial and temporal accuracy as long as inferential statistics were employed as benchmarks. Conversely, the Infomax sICA was superior in terms of global estimation of the ICA model and noise reduction capabilities. Because of its adaptive nature, the Infomax approach appears to be better suited to investigate activation phenomena that are not predictable or adequately modelled by inferential techniques.
独立成分分析(ICA)已成功用于将功能磁共振成像(fMRI)时间序列分解为激活图和相关时间历程集。神经网络文献中已提出了几种ICA算法。应用于fMRI时,这些算法可能会导致大脑激活的不同空间或时间读数。我们比较了迄今为止用于fMRI时间序列空间ICA(sICA)的两种ICA算法:信息最大化算法(Bell和Sejnowski [1995]:《神经计算》7:1004 - 1034)和定点算法(Hyvärinen [1999]:《神经信息处理系统进展》10:273 - 279)。我们使用一系列测量方法评估了基于信息最大化和定点的sICA对模拟运动、真实运动和视觉激活fMRI时间序列的分解。对数似然(McKeown等人[1998]:《人类大脑图谱》6:160 - 188)被用作衡量估计的独立源与数据统计结构拟合程度的指标;接收器操作特征(ROC)和线性相关分析用于评估算法估计模拟和真实激活的空间布局和时间动态的准确性;聚类大小计算和对成分内残余高斯噪声项的估计用于检查ICA成分的解剖结构并评估降噪能力。虽然两种算法都产生了高度准确的结果,但只要采用推断统计作为基准,定点算法在空间和时间准确性方面优于信息最大化算法。相反,信息最大化sICA在ICA模型的全局估计和降噪能力方面更优。由于其自适应性质,信息最大化方法似乎更适合研究那些无法通过推断技术预测或充分建模的激活现象。