The embedding dimensions of normal and epileptic electroencephalogram (EEG) time series are analyzed by two different methods, Cao's method and differential entropy method. The results of the two methods indicate consistently that the embedding dimensions of EEG signals during seizure will change and become different from that of normal EEG signals, and the embedding dimensions will vary intens...

Word embedding vectors are used as input for a variety of tasks. Choosing the right model and features for producing such vectors is not a trivial task and different embedding methods can greatly affect results. In this paper we repurpose the "Pyramid Method" annotations used for evaluating automatic summarization to create a benchmark for comparing embedding models when identifying paraphrases...

The application of chaos theory in hydrology has been gaining considerable interest in recent years.Based on the chaos theory, the random seemingly series can be attributed to deterministic rules. Thedynamic structures of the seemingly complex processes, such as river flow variations, might be betterunderstood using nonlinear deterministic chaotic models than the stochastic ones. In this paper,...

2 Embedding graphs into planarity 3 2.1 embedding algorithms donot use PQ-trees . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.1.1 A planarity embedding algorithm based on the Kuratowski theorem . . . . . . . . 3 2.1.2 An embedding algorithm based on open ear decomposition . . . . . . . . . . . . . . 3 2.1.3 A simplified o (n) planar embedding algorithm for biconnected graphs . . ....