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Entropy, Volume 22, Issue 1

January 2020 - 127 articles

Cover Story: Optimal lossy data compression minimizes the storage cost of a data set X while retaining a given amount of information as possible about something (Y) that you care about. For example, what aspects of an image X contain the most information about whether it depicts a cat or not?
We present a method for efficiently solving this problem and apply it to the CIFAR-10, MNIST, and Fashion-MNIST datasets, illustrating how it can be interpreted as an information-theoretically optimal image clustering algorithm. For merely a handful of clusters, compressing the image into a single integer specifying its cluster number retains almost all the information about its class label Y. View this paper.
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Articles (127)

  • Article
  • Open Access
6 Citations
3,880 Views
19 Pages

20 January 2020

Compressed sensing (CS) offers a framework for image acquisition, which has excellent potential in image sampling and compression applications due to the sub-Nyquist sampling rate and low complexity. In engineering practices, the resulting CS samples...

  • Article
  • Open Access
61 Citations
11,271 Views
14 Pages

20 January 2020

The use of Project Gutenberg (PG) as a text corpus has been extremely popular in statistical analysis of language for more than 25 years. However, in contrast to other major linguistic datasets of similar importance, no consensual full version of PG...

  • Article
  • Open Access
7 Citations
4,620 Views
13 Pages

Eigenvalues of Two-State Quantum Walks Induced by the Hadamard Walk

  • Shimpei Endo,
  • Takako Endo,
  • Takashi Komatsu and
  • Norio Konno

20 January 2020

Existence of the eigenvalues of the discrete-time quantum walks is deeply related to localization of the walks. We revealed, for the first time, the distributions of the eigenvalues given by the splitted generating function method (the SGF method) of...

  • Article
  • Open Access
10 Citations
3,801 Views
12 Pages

19 January 2020

We study the q-voter model with flexibility, which allows for describing a broad spectrum of independence from zealots, inflexibility, or stubbornness through noisy voters to self-anticonformity. Analyzing the model within the pair approximation allo...

  • Article
  • Open Access
4 Citations
4,939 Views
27 Pages

19 January 2020

This paper studies the problem of tangible assets acquisition within the company by proposing a new hybrid model that uses linear programming and fuzzy numbers. Regarding linear programming, two methods were implemented in the model, namely: the grap...

  • Article
  • Open Access
25 Citations
4,012 Views
15 Pages

19 January 2020

In this study, the design of an adaptive terminal sliding mode controller for the stabilization of port Hamiltonian chaotic systems with hidden attractors is proposed. This study begins with the design methodology of a chaotic oscillator with a hidde...

  • Article
  • Open Access
14 Citations
3,974 Views
12 Pages

Analyzing Uncertainty in Complex Socio-Ecological Networks

  • Ana D. Maldonado,
  • María Morales,
  • Pedro A. Aguilera and
  • Antonio Salmerón

19 January 2020

Socio-ecological systems are recognized as complex adaptive systems whose multiple interactions might change as a response to external or internal changes. Due to its complexity, the behavior of the system is often uncertain. Bayesian networks provid...

  • Article
  • Open Access
13 Citations
4,918 Views
17 Pages

Association between Mean Heart Rate and Recurrence Quantification Analysis of Heart Rate Variability in End-Stage Renal Disease

  • Martín Calderón-Juárez,
  • Gertrudis Hortensia González-Gómez,
  • Juan C. Echeverría,
  • Héctor Pérez-Grovas and
  • Claudia Lerma

18 January 2020

Linear heart rate variability (HRV) indices are dependent on the mean heart rate, which has been demonstrated in different models (from sinoatrial cells to humans). The association between nonlinear HRV indices, including those provided by recurrence...

  • Article
  • Open Access
25 Citations
5,115 Views
20 Pages

Permutation Entropy and Statistical Complexity in Mild Cognitive Impairment and Alzheimer’s Disease: An Analysis Based on Frequency Bands

  • Ignacio Echegoyen,
  • David López-Sanz,
  • Johann H. Martínez,
  • Fernando Maestú and
  • Javier M. Buldú

18 January 2020

We present one of the first applications of Permutation Entropy (PE) and Statistical Complexity (SC) (measured as the product of PE and Jensen-Shanon Divergence) on Magnetoencephalography (MEG) recordings of 46 subjects suffering from Mild Cognitive...

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Entropy - ISSN 1099-4300