“…According to previous studies [38,39] it follows that for the considered cases the small coupling weights of polynomial order 2 can be neglected, leading to the results for the electrode conÿguration TLL (Layer 1) and TL (Layer 2) given in Figure 15. Therein DTCNN (m; 1; 1) and DTCNN (m; 2; 2) are shown versus segment number m. These results indicate that a topology only regarding the odd orders-in this case the 1st-and 3rd-order-of the polynomial coe cients seems to be su cient for predicting EEG-data.…”
Section: Prediction Of Eeg Signals By Means Of Dtcnnmentioning
SUMMARYIn this paper we present our work analysing electroencephalographic (EEG) signals for the detection of seizure precursors in epilepsy. Volterra systems and Cellular Nonlinear Networks are considered for a multidimensional signal analysis which is called the feature extraction problem throughout this contribution. Recent results obtained by applying a pattern detection algorithm and a non-linear prediction of brain electrical activity will be discussed in detail. The aim of this interdisciplinary project is the realization of an implantable seizure warning and preventing system.
“…According to previous studies [38,39] it follows that for the considered cases the small coupling weights of polynomial order 2 can be neglected, leading to the results for the electrode conÿguration TLL (Layer 1) and TL (Layer 2) given in Figure 15. Therein DTCNN (m; 1; 1) and DTCNN (m; 2; 2) are shown versus segment number m. These results indicate that a topology only regarding the odd orders-in this case the 1st-and 3rd-order-of the polynomial coe cients seems to be su cient for predicting EEG-data.…”
Section: Prediction Of Eeg Signals By Means Of Dtcnnmentioning
SUMMARYIn this paper we present our work analysing electroencephalographic (EEG) signals for the detection of seizure precursors in epilepsy. Volterra systems and Cellular Nonlinear Networks are considered for a multidimensional signal analysis which is called the feature extraction problem throughout this contribution. Recent results obtained by applying a pattern detection algorithm and a non-linear prediction of brain electrical activity will be discussed in detail. The aim of this interdisciplinary project is the realization of an implantable seizure warning and preventing system.
“…The Polynomial CNN was first introduced in [12], and the conditions for the stability of the network are analyzed in [13]; it has found application in a number of fields, like the epilepsy seizures prediction [14]. Here, we define a general form for PCNNs, whose continuous-time state equation is…”
In this paper we show how Polynomial Cellular Neural Networks can be used to find new properties of twodimensional binary Cellular Automata (CA). In particular, we define formally a complexity index for totalistic and semitotalistic CA, and we discuss on the intrinsic complexity of universal CA finding a surprising result: universal rules are slightly more complex than linearly separable ones.
“…A seizure precursor may be detected by changes of the so-called signal features derived from EEG signals. Many publications [3][4][5][6][7][8][9][10] have been addressed to this field of research, but the problem remains unsolved. It has been shown that algorithms based on CNN [11][12][13] provided new results in the field of EEG-signal analysis.…”
Section: F Gollas C Niederhöfer and R Tetzlaffmentioning
confidence: 99%
“…[22][23][24][25][26][27]) aim at a better understanding of neural dynamics related to epileptic seizure generation; many of them using methods from signal processing, complex systems theory and system biology. Several publications indicate that a possible transition from interictal to ictal states might be detected 625 by a higher-dimensional analysis of brain electrical activity [28][29][30][31][32] but still seizures cannot be anticipated with necessary sensitivity and specificity.…”
SUMMARYAlthough in the field of epileptic seizure prediction many spatio-temporal approaches have been carried out, the precursor detection problem remains unsolved up to now. It can be observed that an increasing number of algorithms are developed based on cellular nonlinear networks (CNNs). They are dealing with the extraction of signal features using intracranial EEG recordings in order to detect possible preseizure states. In general, reliable precursor detections cannot be obtained for all treated cases. The performance of these algorithms can be enhanced by adapting them to specific patients. Combining different features in a feature vector in a future seizure anticipation platform may lead to a reliably working seizure prediction system.In this contribution we focus on two different CNN-based algorithms-a nonlinear identification approach and a prediction algorithm. They will be discussed in detail and recently obtained results will be given.
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