Cybernetics and Systems Analysis
Box-constrained quadratic programs with fixed charge variables
Journal of Global Optimization
Absence seizures as resetting mechanisms of brain dynamics
Cybernetics and Systems Analysis
Improved compact linearizations for the unconstrained quadratic 0-1 minimization problem
Discrete Applied Mathematics
A review of recent advances in global optimization
Journal of Global Optimization
Global optimality conditions for quadratic 0-1 optimization problems
Journal of Global Optimization
Optimization of spatiotemporal clustering for target tracking from multisensor data
IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews
Journal of Global Optimization
Graph-based quadratic optimization: A fast evolutionary approach
Computer Vision and Image Understanding
On zero duality gap in nonconvex quadratic programming problems
Journal of Global Optimization
An exact solution method for unconstrained quadratic 0---1 programming: a geometric approach
Journal of Global Optimization
A new linearization technique for multi-quadratic 0-1 programming problems
Operations Research Letters
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There is growing evidence that temporal lobe seizures are preceded by a preictal transition, characterized by a gradual dynamical change from asymptomatic interictal state to seizure. We herein report the first prospective analysis of the online automated algorithm for detecting the preictal transition in ongoing EEG signals. Such, the algorithm constitutes a seizure warning system. The algorithm estimates STLmax, a measure of the order or disorder of the signal, of EEG signals recorded from individual electrode sites. The optimization techniques were employed to select critical brain electrode sites that exhibit the preictal transition for the warning of epileptic seizures. Specifically, a quadratically constrained quadratic 0-1 programming problem is formulated to identify critical electrode sites. The automated seizure warning algorithm was tested in continuous, long-term EEG recordings obtained from 5 patients with temporal lobe epilepsy. For individual patient, we use the first half of seizures to train the parameter settings, which is evaluated by ROC (Receiver Operating Characteristic) curve analysis. With the best parameter setting, the algorithm applied to all cases predicted an average of 91.7% of seizures with an average false prediction rate of 0.196 per hour. These results indicate that it may be possible to develop automated seizure warning devices for diagnostic and therapeutic purposes.