Preface |
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xi | |
About the Editor |
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xiii | |
About the Contributors |
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xv | |
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1 | (14) |
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1 | (2) |
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3 | (2) |
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5 | (7) |
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12 | (3) |
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Chapter 2 Detection and Classification of Extracellular Action Potential Recordings |
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15 | (60) |
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15 | (1) |
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16 | (16) |
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19 | (5) |
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24 | (2) |
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2.2.3 Practical Limitations |
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26 | (2) |
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2.2.4 Transform-Based Methods |
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28 | (4) |
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32 | (26) |
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2.3.1 Pattern Recognition Approach |
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32 | (5) |
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2.3.2 Blind Source Separation Approach |
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37 | (21) |
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2.4 Practical Implementation |
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58 | (7) |
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2.5 Discussion and Future Directions |
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65 | (4) |
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69 | (1) |
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69 | (6) |
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Chapter 3 Information-Theoretic Analysis of Neural Data |
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75 | (28) |
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75 | (2) |
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77 | (6) |
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83 | (7) |
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3.4 Rate-Distortion Theory |
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90 | (4) |
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3.5 Post-Shannon Information Theory |
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94 | (5) |
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99 | (1) |
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100 | (3) |
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Chapter 4 Identification of Nonlinear Dynamics in Neural Population Activity |
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103 | (26) |
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103 | (1) |
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104 | (1) |
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4.3 Nonlinear Model of Neural Population Dynamics |
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105 | (10) |
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4.3.1 Model Configuration |
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106 | (3) |
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109 | (2) |
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111 | (1) |
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4.3.4 Kernel Reconstruction and Interpretation |
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112 | (1) |
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4.3.5 Model Validation and Prediction |
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113 | (2) |
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4.4 Results: Application to Hippocampal CA3-CA1 Population Activity |
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115 | (6) |
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115 | (1) |
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116 | (2) |
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118 | (3) |
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121 | (4) |
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125 | (1) |
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126 | (1) |
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126 | (3) |
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Chapter 5 Graphical Models of Functional and Effective Neuronal Connectivity |
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129 | (46) |
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129 | (2) |
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5.2 Background and Overview |
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131 | (7) |
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5.2.1 The Crosscorrelogram |
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131 | (2) |
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5.2.2 Information-Theoretic Methods |
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133 | (2) |
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135 | (1) |
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5.2.4 Generalized Linear Models |
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135 | (3) |
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138 | (8) |
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5.3.1 Effective Connectivity |
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138 | (4) |
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5.3.2 Graph-Based Functional Connectivity Inference |
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142 | (4) |
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146 | (18) |
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5.4.1 Spiking Neural Model |
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146 | (3) |
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5.4.2 Inferring Effective Connectivity |
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149 | (8) |
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5.4.3 Identifying Functional Connectivity |
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157 | (7) |
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5.5 Discussion and Future Directions |
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164 | (2) |
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166 | (1) |
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167 | (8) |
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Chapter 6 State Space Modeling of Neural Spike Train and Behavioral Data |
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175 | (44) |
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175 | (2) |
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6.2 State Space Modeling Paradigm |
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177 | (3) |
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177 | (1) |
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6.2.2 Recursive Form of Bayes' Rule |
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178 | (1) |
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6.2.3 Classes of Filtering and Smoothing Problems |
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179 | (1) |
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6.3 Applications of the State Space Paradigm in Neuroscience Data Analysis |
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180 | (31) |
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6.3.1 Neural Spike Train Decoding and Point Process Filter Algorithms |
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180 | (6) |
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6.3.2 Neural Receptive Field Plasticity and Instantaneous Steepest Descent Filtering |
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186 | (4) |
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6.3.3 Tracking Spatial Receptive Field and Particle Filtering |
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190 | (6) |
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6.3.4 Dynamic Analysis of Behavioral Learning Experiments and the Expectation-Maximization Algorithm |
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196 | (6) |
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6.3.5 Markov Chain Monte Carlo Methods and the Analysis of Cortical UP/DOWN States |
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202 | (3) |
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6.3.6 State Space Smoothing, Dynamic Parameter Estimation, and Analysis of Population Learning |
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205 | (6) |
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211 | (2) |
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213 | (1) |
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213 | (6) |
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Chapter 7 Neural Decoding for Motor and Communication Prostheses |
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219 | (46) |
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219 | (3) |
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7.2 Plan and Movement Neural Activity |
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222 | (3) |
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7.3 Continuous Decoding for Motor Prostheses |
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225 | (15) |
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7.3.1 Recursive Bayesian Decoders |
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227 | (3) |
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7.3.2 Mixture of Trajectory Models |
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230 | (5) |
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235 | (5) |
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7.4 Discrete Decoding for Communication Prostheses |
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240 | (12) |
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7.4.1 Independent Gaussian and Poisson Models |
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241 | (1) |
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7.4.2 Factor Analysis Methods |
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242 | (8) |
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250 | (2) |
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252 | (3) |
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255 | (2) |
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257 | (1) |
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258 | (7) |
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Chapter 8 Inner Products for Representation and Learning in the Spike Train Domain |
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265 | (46) |
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265 | (3) |
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8.2 Functional Representations of Spike Trains |
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268 | (6) |
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268 | (4) |
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8.2.2 Intensity Estimation |
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272 | (2) |
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8.3 Inner Products for Spike Trains |
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274 | (11) |
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8.3.1 Defining Inner Products for Spike Trains |
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276 | (5) |
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8.3.2 Properties of the Defined Inner Products |
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281 | (2) |
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8.3.3 Distances Induced by Inner Products |
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283 | (2) |
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285 | (15) |
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8.4.1 Unsupervised Learning: Principal Component Analysis |
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285 | (9) |
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8.4.2 Supervised Learning: Fisher's Linear Discriminant |
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294 | (6) |
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300 | (1) |
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Appendix A Higher-Order Spike Interactions through Nonlinearity |
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301 | (1) |
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302 | (2) |
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Appendix C Brief Introduction to RKHS Theory |
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304 | (1) |
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305 | (1) |
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305 | (6) |
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Chapter 9 Signal Processing and Machine Learning for Single-Trial Analysis of Simultaneously Acquired EEG and fMRI |
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311 | (24) |
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311 | (2) |
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9.2 Hardware Design and Setup: Challenges in EEG/fMRI Acquisition |
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313 | (4) |
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315 | (1) |
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315 | (2) |
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9.2.3 Synchronized Sampling |
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317 | (1) |
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9.3 Signal Processing and Removal of BCG Artifacts |
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317 | (6) |
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9.3.1 The Kirchhoffian Account |
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319 | (4) |
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9.4 Linking Single-Trial Variations of Task-Relevant EEG Components to the Bold Signal |
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323 | (4) |
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9.4.1 Identifying EEG Components Using Linear Discrimination |
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323 | (1) |
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9.4.2 Constructing fMRI Regressors from Single-Trial Variability in EEG Components |
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324 | (3) |
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327 | (3) |
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330 | (1) |
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331 | (1) |
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331 | (4) |
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Chapter 10 Statistical Pattern Recognition and Machine Learning in Brain-Computer Interfaces |
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335 | (34) |
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335 | (2) |
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10.2 Signal Processing and Pattern Recognition in BCI Systems |
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337 | (13) |
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10.2.1 Signal Acquisition and Major Signal Types |
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337 | (2) |
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10.2.2 Pattern Recognition and Machine Learning |
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339 | (11) |
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350 | (8) |
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10.3.1 P300-Based Control of a Humanoid Robot |
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351 | (3) |
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10.3.2 Motor Imagery-Based Control of Virtual Environments |
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354 | (4) |
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358 | (1) |
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359 | (1) |
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360 | (9) |
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Chapter 11 Prediction of Muscle Activity from Cortical Signals to Restore Hand Grasp in Subjects with Spinal Cord Injury |
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369 | (38) |
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369 | (2) |
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371 | (6) |
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11.2.1 BMIs as a Potential Control Solution |
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374 | (2) |
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11.2.2 BMIs for Control of Dynamics |
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376 | (1) |
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377 | (7) |
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11.3.1 Isometric Wrist Torque Tasks |
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378 | (1) |
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379 | (1) |
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379 | (2) |
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381 | (1) |
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11.3.5 Linear Systems Identification |
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381 | (2) |
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11.3.6 Nerve Block Effectiveness |
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383 | (1) |
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383 | (1) |
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384 | (1) |
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384 | (10) |
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11.4.1 Offline Signal Prediction |
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384 | (5) |
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11.4.2 Real-Time FES Control |
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389 | (5) |
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394 | (5) |
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11.5.1 Successful Proof of Concept |
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394 | (1) |
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11.5.2 Limitations in the Control of Complex Motor Tasks |
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395 | (2) |
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11.5.3 Limitations Related to the Use of FES for Control |
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397 | (2) |
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399 | (2) |
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11.6.1 Control of Higher-Dimensional Movement Using Natural Muscle Synergies |
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399 | (1) |
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400 | (1) |
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401 | (1) |
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401 | (6) |
Index |
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407 | |