Mathematics in Independent Component Analysis

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256 Chapter 19. LNCS 3195:977-984, 2004 3D Spatial Analysis of fMRI Data on a Word Perception Task 981 a) b) c) Fig. 1. Fixed-effect analysis of the experimental data. No substantial differences between the activation in the auditory cortex correlated to (a) FB1 and (b) FB4 can be seen. (c) shows the analysis for FB4 of a different subject. Fig. 2. Independent component located in the auditory cortex and its time course. a component located at the position of the supplementary motor area (SMA) could be found in all subjects.
Chapter 19. LNCS 3195:977-984, 2004 257 982 Ingo R. Keck et al. Fig. 3. Independent component which correspond to a proposed subsystem for word detection. Fig. 4. Independent component with activation in Broca’s area (speech motor area). The most interesting finding was an IC which represents a network of three simultaneously active areas in the inferior frontal gyrus (figure 3) in one subject. This network was suggested to be a center for the perception of speech in [8]. Figure 4 shows an IC (of the same subject) that we assume to be a network for the decision to press the button. All other subjects except one had ICs that correspond to these networks, although often separated into different components. The time course of both components matches visually very well (figure 5) while their correlation coefficient remains rather low (kcorr =0.36), apparently due to temporary time- and baseline-shifts.
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Statistical machine learning of bio
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vi Preface
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viii CONTENTS 3 Signal Processing 8
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Chapter 1 Statistical machine learn
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1.1. Introduction 5 auditory cortex
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1.2. Uniqueness issues in independe
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1.2. Uniqueness issues in independe
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S U M M A R Y T his �le contains
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1.3. Dependent component analysis 1
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Table 1.1: BSS algorithms based on
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1.4. Sparseness 25 1.4 Sparseness O
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1.4. Sparseness 27 Theorem 1.4.3 (S
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1.4. Sparseness 29 R 3 R 3 A BSRA R
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1.4. Sparseness 31 Sparse projectio
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1.6. Applications to biomedical dat
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1.7. Outlook 51 noise data signal i
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Part II Papers 53
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Page 306 and 307: 298 BIBLIOGRAPHY Barber, C., Dobkin
Page 308 and 309: 300 BIBLIOGRAPHY Georgiev, P. (2001
Page 310 and 311: 302 BIBLIOGRAPHY Keck, I., Theis, F
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306 BIBLIOGRAPHY Theis, F. and Inou
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Mathematics in Independent Component Analysis

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