Using the ordinal-pattern concept in permutation entropy, we propose a model sufficiency test to study given model's point prediction accuracy. Compared with some classical tests, such as Broock et al.'s (1996) test, our proposal does not require sufficient eliminate all structures exhibited estimated residuals. When innovations investigated data's underlying dynamics show certain structure, hi...

Several measures of volatility have been developed in order to quantify the degree of uncertainty of an energy price series, which include historical volatility and price velocities, among others. This paper suggests using the permutation entropy, topological entropy and the modified permutation entropy as alternatives to measure volatility in energy markets. Simulated data show that these meas...

Bearing fault diagnosis has attracted significant attention over the past few decades. It consists of two major parts: vibration signal feature extraction and condition classification for the extracted features. In this paper, multiscale permutation entropy (MPE) was introduced for feature extraction from faulty bearing vibration signals. After extracting feature vectors by MPE, the support vec...

Permutation entropy (PE) has been widely exploited to measure the complexity of the electroencephalogram (EEG), especially when complexity is linked to diagnostic information embedded in the EEG. Recently, the authors proposed a spatial-temporal analysis of the EEG recordings of absence epilepsy patients based on PE. The goal here is to improve the ability of PE in discriminating interictal sta...

Permutation entropy is computationally efficient, robust to noise, and effective to measure complexity. We used this technique to quantify the complexity of continuous vital signs recorded from patients with traumatic brain injury (TBI). Using permutation entropy calculated from early vital signs (initial 10∼20% of patient hospital stay time), we built classifiers to predict in-hospital mortali...

In this study, the performance of Sevcik’s algorithm that calculates the fractal dimension and permutation entropy as discriminants to detect calming and insight meditation in electroencephalographic (EEG) signals was assessed. The proposed methods were applied to EEG recordings from meditators practicing insight meditation and calming meditation before as well as during both types of meditatio...

Criterion for choosing chaos map to drive image bit permutation based on chaos permutation information entropy is proposed. An algorithm for image bit permutation is designed based on the fact that the output trajectory of chaotic system is very unpredictable. Image smallest granularity scrambling, namely, bit space maximum scrambling is implemented by applying the chaos that has been selected....

We present a new family of public-key encryption schemes which combine modest computational demands with provable security guarantees under only general assumptions. The schemes may be realized with any one-way trapdoor permutation, and provide a notion of security corresponding to semantic security under the condition that the message space has sufficient entropy. Furthermore, these schemes ca...

OBJECTIVE Multiscale permutation entropy (MSPE) is becoming an interesting tool to explore neurophysiological mechanisms in recent years. In this study, six MSPE measures were proposed for on-line depth of anesthesia (DoA) monitoring to quantify the anesthetic effect on the real-time EEG recordings. The performance of these measures in describing the transient characters of simulated neural pop...