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Using EEG signals to estimate cognitive state has drawn increasing attention in recently years, especially in the context of brain-computer interface (BCI) design. However, this goal is extremely difficult because, in addition to the complex relationships between the cognitive state and EEG signals that yields the non-stationarity of the features extracted from EEG signals, there are artefacts introduced...
We present five axioms for fairness measures in resource allocation. A family of fairness measures satisfying the axioms is constructed. Special cases of this family include ??-fairness, Jain's index, and entropy. Properties of fairness measures satisfying the axioms are proven, including Schur-concavity. Among the engineering implications is a generalized Jain's index that tunes the resolution of...
Mutual information is an important tool in many applications. Specifically, in classification systems, feature selection based on MI estimation between features and class labels helps to identify the most useful features directly related to the classification performance. MI estimation is extremely difficult and imprecise in high dimensional feature spaces with an arbitrary distribution. We propose...
Several types of entropy estimators exist in the information theory literature. Most of these estimators explicitly involve estimating the density of the available data samples before computing the entropy. However, the entropy-estimator using sample spacing avoids this intermediate step and computes the entropy directly using the order-statistics. In this paper, we extend our horizon beyond Shannon's...
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