Based on the Scientific Method [], scientific models should be compared based on their predictive power. An 'EEG model' hence should predict the EEG patterns that will be observed at each brain area associated with an experimental event or state. A function that has a number of EEG activations (from channels or ICs) as its input and outputs a pattern that predicts (estimates) an unseen EEG is an example of an EEG predicative mode. One choice for this function, , for trial data is the average: (1) But there may be functions (models) that offer a better predictive power and hence favored by the Scientific Method. A simple example of such a function is low-pass’: ‘optimal (2) where and . (3) This equation refers to leave-one-out cross-validation in order to find the frequency threshold that maximizes the sum of reduction of variance ratios (ROVs) across trials. Here the ratio is used since the absolute reduction of variance value (the numerator in equation 3) is more sensitive to outlier trials with unusually high amplitudes.
Based on the Scientific Method [], scientific models should be compared based on their predictive power. An 'EEG model' hence should predict the EEG patterns that will be observed at each brain area associated with an experimental event or state. A function that has a number of EEG activations (from channels or ICs) as its input and outputs a pattern that predicts (estimates) an unseen EEG is an example of an EEG predicative mode. One choice for this function, , for trial data is the average: (1) But there may be functions (models) that offer a better predictive power and hence favored by the Scientific Method. A simple example of such a function is ‘optimal low-pass’: (2) where and . (3) This equation refers to leave-one-out cross-validation in order to find the frequency threshold that maximizes the sum of reduction of variance ratios (ROVs) across trials. Here the ratio is used since the absolute reduction of variance value (the numerator in equation 3) is more sensitive to outlier trials with unusually high amplitudes.
nima_bigdely_shamlo_doctoral_dissertation.docx