Regression Networks for Neurophysiological Indicator Evaluation in Practicing Motor Imagery Tasks
Abstract
:1. Introduction
2. Material & Methods
2.1. Electrophysiological Indicators in Mi Tasks
2.2. Regression Analysis between Classifier Performance and Electrophysiological Indicators
- –
- IN: input layer that holds the extracted relevant patterns .
- –
- : fully-Connected layer that is used for extracting robust and epileptic relevant patterns that are mapped into a high-dimensional latent space [44], holding neurons, being ⌜·⌝ the ceiling operator.
- –
- CT: a concatenate layer that condenses the resulting feature sets of all electrodes into a single block, sizing .
- –
- : a fully-connected layer with size that is linked to each output-layer neuron.
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- : the one-neuron regression equipped with a linear activation function to predict the response.
- –
- The set of relevant patterns that holds elements extracted by the following statistical moments: mean, median, variance, minimal, and maximal values. For every subject, the moments are estimated over data using a short-time window lasting 1 s with a overlap. All time-varying moments are concatenated to form a single set per channel.
- –
- Both layers, and , employ a hyperbolic tangent (tanh) as the activation function.
- –
- During learning, Adam algorithm optimizer and loss function are used, measuring the Mean Absolute Error and fixing the learning rate to . In addition, the weight values (empirically set to ) are regularized while using the Elastic Net regularization.
- –
- The backpropagation algorithm solves the parameter set optimization of with auto differentiation under a Wide Deep Neural Network framework that includes two hidden layers under elastic-net regularization.
- –
- As the function mapping , two operators over the response vectors are tested: (a) the mean accuracy (noted as mean) that is averaged across the extraction window lengths and weighted by the subject variance performed at each window; (b) first PCA component of the accuracy vectors (noted as PCA). The set is the subject accuracy values evaluated at four lengths of feature extraction s, and performed over the whole trail MI data set, as explained before in Section 3.2.
- –
- For evaluation purposes, we also contrast the DRN-based regression analysis with the case of avoiding the data-driven indicator extraction. Which is, the estimator in Equation (5) is directly fed by the scalar-valued neurophysiological indicators devised in Equations (1a) and (3), fixing each individual vector element of to and removing the concatenation layer CT.
3. Experimental Set-Up
3.1. MI Database Description and Pre-Processing
3.2. Bi-Class Accuracy Estimation as a Response Variable
4. Results and Discussion
4.1. Computation of Pre-Training Desynchronization Indicator
4.2. Initial Training Synchronization Assessment
4.3. Drn-Based Indicator Extraction and Regression
4.4. Clustering of Subject-Level Efficiency
- (i)
- A group that holds the individuals performing the best accuracy with very low variability (yellow color).
- (ii)
- A group that contains the subjects that reach important values of accuracy, but performing with some fluctuations.
- (iii)
- A group with modest accuracy performed with high unevenness.
5. Concluding Remarks
Author Contributions
Funding
Conflicts of Interest
References
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Resting Data | Electrode | [s] | |||||
---|---|---|---|---|---|---|---|
Configuration | Mean | PCA | |||||
Baseline inverval | 2Ch(LC) | 0.15 | 0.15 | 0.17 | 0.16 | 0.13 | 0.15 |
6Ch(LC) | 0.07 | 0.04 | 0.11 | 0.13 | 0.05 | 0.07 | |
2Ch(DRN ) | 0.15 | 0.16 | 0.18 | 0.16 | 0.14 | 0.15 | |
6Ch(DRN ) | 0.07 | 0.04 | 0.12 | 0.14 | 0.06 | 0.08 | |
2Ch(DRN ) | 0.86 | 0.85 | 0.96 | 0.97 | 0.83 | 0.87 | |
2Ch(DRN ) LOO | 0.76 | 0.79 | 0.82 | 0.80 | 0.78 | 0.86 | |
6Ch(DRN ) | 0.92 | 0.86 | 0.95 | 0.97 | 0.83 | 0.88 | |
6Ch(DRN ) LOO | 0.83 | 0.87 | 0.85 | 0.87 | 0.89 | 0.91 | |
Resting-state | 2Ch(LC) | 0.30 | 0.31 | 0.31 | 0.27 | 0.29 | 0.31 |
6Ch(LC) | 0.25 | 0.31 | 0.26 | 0.26 | 0.28 | 0.28 | |
2Ch(DRN ) | 0.31 | 0.31 | 0.31 | 0.28 | 0.30 | 0.32 | |
6Ch(DRN ) | 0.25 | 0.31 | 0.26 | 0.27 | 0.30 | 0.30 | |
2Ch(DRN ) | 0.79 | 0.80 | 0.92 | 0.94 | 0.78 | 0.82 | |
2Ch(DRN ) LOO | 0.85 | 0.87 | 0.83 | 0.82 | 0.79 | 0.84 | |
6Ch(DRN ) | 0.86 | 0.77 | 0.91 | 0.93 | 0.75 | 0.80 | |
6Ch(DRN ) LOO | 0.85 | 0.83 | 0.88 | 0.86 | 0.80 | 0.77 |
Rhythm | Electrode | [s] | |||||
---|---|---|---|---|---|---|---|
Subband | Configuration | Mean | PCA | ||||
2Ch(LC) | 0.12 | 0.064 | 0.04 | 0.003 | 0.6 | 0.05 | |
6Ch(LC) | 0.23 | 0.08 | 0.10 | 0.04 | 0.11 | 0.11 | |
2Ch(DRN ) | 0.13 | 0.064 | 0.13 | 0.17 | 0.06 | 0.17 | |
6Ch(DRN ) | 0.23 | 0.12 | 0.10 | 0.04 | 0.11 | 0.11 | |
2Ch(LC) | 0.11 | 0.06 | 0.08 | 0.02 | 0.07 | 0.06 | |
6Ch(LC) | 0.14 | 0.04 | 0.006 | 0.016 | 0.11 | 0.07 | |
2Ch(DRN ) | 0.16 | 0.15 | 0.20 | 0.23 | 0.16 | 0.20 | |
6Ch(DRN ) | 0.19 | 0.05 | 0.23 | 0.25 | 0.21 | 0.20 | |
2Ch(LC) | 0.06 | 0.05 | 0.05 | 0.01 | 0.04 | 0.04 | |
6Ch(LC) | 0.11 | 0.07 | 0.03 | 0.04 | 0.11 | 0.08 | |
2Ch(DRN ) | 0.08 | 0.06 | 0.10 | 0.18 | 0.11 | 0.09 | |
6Ch(DRN ) | 0.11 | 0.11 | 0.19 | 0.21 | 0.15 | 0.21 | |
2Ch(DRN ) | 0.84 | 0.80 | 0.94 | 0.91 | 0.78 | 0.83 | |
2Ch(DRN ) LOO | 0.15 | 0.17 | 0.24 | 0.19 | 0.18 | 0.21 | |
6Ch(DRN ) | 0.87 | 0.77 | 0.93 | 0.95 | 0.82 | 0.82 | |
6Ch(DRN ) LOO | 0.20 | 0.44 | 0.40 | 0.28 | 0.26 | 0.40 |
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Velasquez-Martinez, L.; Caicedo-Acosta, J.; Acosta-Medina, C.; Alvarez-Meza, A.; Castellanos-Dominguez, G. Regression Networks for Neurophysiological Indicator Evaluation in Practicing Motor Imagery Tasks. Brain Sci. 2020, 10, 707. https://doi.org/10.3390/brainsci10100707
Velasquez-Martinez L, Caicedo-Acosta J, Acosta-Medina C, Alvarez-Meza A, Castellanos-Dominguez G. Regression Networks for Neurophysiological Indicator Evaluation in Practicing Motor Imagery Tasks. Brain Sciences. 2020; 10(10):707. https://doi.org/10.3390/brainsci10100707
Chicago/Turabian StyleVelasquez-Martinez, Luisa, Julian Caicedo-Acosta, Carlos Acosta-Medina, Andres Alvarez-Meza, and German Castellanos-Dominguez. 2020. "Regression Networks for Neurophysiological Indicator Evaluation in Practicing Motor Imagery Tasks" Brain Sciences 10, no. 10: 707. https://doi.org/10.3390/brainsci10100707