本文選題：數(shù)據(jù)降維　切入點(diǎn)：t-SNE　出處：《昆明理工大學(xué)》2017年碩士論文　論文類型：學(xué)位論文

【摘要】：功能磁共振成像是一種有效研究人腦功能和結(jié)構(gòu)的非介入技術(shù)手段,基于功能磁共振成像的血氧水平依賴信號(hào)重構(gòu)的腦功能網(wǎng)絡(luò)為研究人腦動(dòng)態(tài)屬性和特征提供了一種有效的方法。為了深入研究腦網(wǎng)絡(luò)的動(dòng)態(tài)特征,以血氧水平依賴信號(hào)時(shí)間序列為對(duì)象展開(kāi)了腦區(qū)相關(guān)性分析并構(gòu)建了全腦網(wǎng)絡(luò)狀態(tài)觀測(cè)矩陣,但其維數(shù)非常高,這給腦網(wǎng)絡(luò)動(dòng)態(tài)特征的辨識(shí)帶來(lái)了很大的困難,因此研究腦網(wǎng)絡(luò)狀態(tài)觀測(cè)矩陣的降維問(wèn)題是深入研究腦網(wǎng)絡(luò)動(dòng)態(tài)特征的基礎(chǔ)。本文主要以靜息態(tài)磁共振采集得到的血氧水平依賴信號(hào)時(shí)間序列所構(gòu)建的全腦腦網(wǎng)絡(luò)狀態(tài)觀測(cè)矩陣為對(duì)象,對(duì)其在低維空間內(nèi)的嵌入和可視化為目標(biāo)展開(kāi)研究。針對(duì)使用主成分分析、等距映射、局部線性嵌入等主流降維算法得到結(jié)果較差的問(wèn)題,對(duì)其數(shù)據(jù)特征展開(kāi)研究和分析,給出了一種基于t分布隨機(jī)領(lǐng)域嵌入算法的高維腦網(wǎng)絡(luò)狀態(tài)觀測(cè)矩陣降維方法,實(shí)驗(yàn)結(jié)果顯示,相對(duì)于其它降維算法,使用該算法可以對(duì)腦網(wǎng)絡(luò)狀態(tài)觀測(cè)矩陣達(dá)到更好的降維效果。在此基礎(chǔ)上設(shè)計(jì)實(shí)現(xiàn)了基于Python的降維算法及可視化平臺(tái),并完成了該平臺(tái)與現(xiàn)有腦數(shù)據(jù)處理功能和技術(shù)平臺(tái)的整合,從而為腦網(wǎng)絡(luò)動(dòng)態(tài)特性的進(jìn)一步研究提供了理論基礎(chǔ)和技術(shù)基礎(chǔ)。
[Abstract]:Functional magnetic resonance imaging (fMRI) is an effective non-interventional technique for studying the function and structure of human brain. The functional network based on functional magnetic resonance imaging (fMRI) provides an effective method for studying the dynamic properties and characteristics of human brain. Based on the time series of the blood oxygen level dependent signal, the correlation analysis of the brain region and the construction of the state observation matrix of the whole brain network are carried out, but its dimension is very high, which brings great difficulties to the identification of the dynamic characteristics of the brain network. Therefore, to study the dimensionality reduction of the state observation matrix of brain network is the basis for further studying the dynamic characteristics of brain network. In this paper, the whole brain reticulum is constructed from the time series of blood oxygen level dependent signal acquired by resting magnetic resonance. The observation matrix of the state of the network is the object, Aiming at the problem of using principal component analysis (PCA), isometric mapping, local linear embedding and other mainstream dimensionality reduction algorithms to get poor results, the data features are studied and analyzed. A state observation matrix reduction method for high-dimensional brain networks based on t-distribution random domain embedding algorithm is presented. The experimental results show that compared with other dimensionality reduction algorithms, The algorithm can achieve better dimensionality reduction effect on the state observation matrix of brain network. On this basis, the dimensionality reduction algorithm and visualization platform based on Python are designed and implemented. The integration of the platform with the existing brain data processing function and technology platform is completed, which provides a theoretical and technical basis for the further study of the dynamic characteristics of the brain network.
【學(xué)位授予單位】：昆明理工大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：TP274;R445.2

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