| 引用本文: | 冯宝.基于凸分析的盲分解方法及在脑功能磁共振 成像数据分析中的应用（英文）[J].控制理论与应用,2018,35(2):232~238.[点击复制] |
| FENG Bao.Convex analysis based blind separation algorithm for analyzing brain functional magnetic resonance imaging data[J].Control Theory and Technology,2018,35(2):232~238.[点击复制] |
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| 基于凸分析的盲分解方法及在脑功能磁共振 成像数据分析中的应用（英文） |
| Convex analysis based blind separation algorithm for analyzing brain functional magnetic resonance imaging data |
| 摘要点击 2721 全文点击 1580 |
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| DOI编号 10.7641/CTA.2017.16151 |
| 2018,35(2):232-238 |
| 中文关键词 功能磁共振成像(fMRI) 凸分析 盲源分离 脑激活区定位 |
| 英文关键词 functional magnetic resonance imaging (fMRI) convex optimization blind source separation brain activation localization |
| 基金项目 Supported by the Guangxi National Natural Science Foundation (2016GXNSFBA380160, 2016JJD110017, 2016GXNSFAA380226), the Guangxi University Teaching Research Project (KY2015ZD143), the Guangxi Key Laboratory for Nonlinear Circuit and Optical Communication (Guangxi Normal University) (NCOC2016–B01) and the National Natural Science Foundation of China (61650103). |
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| 中文摘要 |
| 盲分解(blind source separation, BSS)是经典的功能磁共振成像(functional magnetic resonance imaging, fMRI)
数据驱动类分析方法. 独立成分分析(independent component analysis, ICA)是fMRI数据盲分解的常用方法之一, 主要
利用源分量的独立性假设来从fMRI数据中提取持续任务相关(consistent task related, CTR)成分. 然而在实际fMRI数据
处理中发现源分量的独立性假设很难完全满足. 为了提高CTR成分提取准确率, 利用CTR分量空间稀疏性特点, 引入基
于凸分析的盲分解技术来分析fMRI数据. 新方法包含两个步骤, 首先利用fMRI 观测数据构建一个凸集合, 将源分量定
位问题转化为在几何上确定凸集合端点; 其次, 通过体积最大法来确定凸集合端点. 数值结果表明该方法可以从fMRI数
据中提取更多有用信息, 提高了CTR分量获取的准确率, 有利于定位与任务相关的脑激活区. |
| 英文摘要 |
| Functional magnetic resonance imaging (fMRI) data analysis is of great challenge for its characteristics of
high dimensionality and low signal noise ratio. Independent component analysis (ICA) is a classical approach for analysis of
fMRI data. ICA based methods exploit independence assumption while extracting consistent task related (CTR) component
from fMRI data. However, recent studies show that independence assumption of ICA based method is sometime violated
in practice due to the principle of“functional integration”of human brain. In this paper, we proposed a new fMRI data
analysis method based on blind source separation (BSS) technique. The proposed method does not emphasize independence
assumption but sparsity and non-negativity, which is considered more realistic to fMRI data. With convex optimization, we
constructed a closed convex set on the observed fMRI data. Then, the task of estimating the source component is converted
into the task of geometrically determining the extreme points of the convex set. While determining the extreme points,
alternative volume maximum (AVM) is used to find a simplex with maximum volume to approximate the obtained convex
set to achieve robustness against fMRI modelling errors. Numerical results in this paper show that proposed method may
localize brain activations with higher accuracy rate. |
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