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Entropy, Volume 23, Issue 9

September 2021 - 139 articles

Cover Story: The Schrödinger bridge problem (SBP) finds the most likely stochastic evolution between two probability distributions given a prior stochastic evolution. As well as applications in the natural sciences, problems of this kind have important applications in machine learning, such as dataset alignment and hypothesis testing. While the theory behind this problem is relatively mature, scalable numerical recipes to estimate the Schrödinger bridge remain an active area of research. We prove an equivalence between the SBP and maximum likelihood estimation enabling direct application of successful machine learning techniques. We propose a numerical procedure to estimate SBPs using Gaussian process regression and demonstrate the practical use of our approach in numerical simulations and experiments. View this paper
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Articles (139)

  • Article
  • Open Access
1 Citations
4,407 Views
12 Pages

15 September 2021

The popularity of SPACs (Special Purpose Acquisition Companies) has grown dramatically in recent years as a substitute for the traditional IPO (Initial Public Offer). We modeled the average annual return for SPAC investors and found that this financi...

  • Article
  • Open Access
3 Citations
2,812 Views
18 Pages

15 September 2021

One of the main problems in graph analysis is the correct identification of relevant nodes for spreading processes. Spreaders are crucial for accelerating/hindering information diffusion, increasing product exposure, controlling diseases, rumors, and...

  • Article
  • Open Access
22 Citations
3,839 Views
18 Pages

14 September 2021

The accurate detection and alleviation of driving fatigue are of great significance to traffic safety. In this study, we tried to apply the modified multi-scale entropy (MMSE) approach, based on variational mode decomposition (VMD), to driving fatigu...

  • Article
  • Open Access
11 Citations
3,167 Views
18 Pages

14 September 2021

We apply tree-based classification algorithms, namely the classification trees, with the use of the rpart algorithm, random forests and XGBoost methods to detect mood disorder in a group of 2508 lower secondary school students. The dataset presents m...

  • Article
  • Open Access
4 Citations
2,782 Views
9 Pages

14 September 2021

Causality describes the process and consequences from an action: a cause has an effect. Causality is preserved in classical physics as well as in special and general theories of relativity. Surprisingly, causality as a relationship between the cause...

  • Article
  • Open Access
18 Citations
7,274 Views
48 Pages

14 September 2021

In econophysics, the achievements of information filtering methods over the past 20 years, such as the minimal spanning tree (MST) by Mantegna and the planar maximally filtered graph (PMFG) by Tumminello et al., should be celebrated. Here, we show ho...

  • Article
  • Open Access
3 Citations
2,520 Views
18 Pages

14 September 2021

The pattern of financial cycles in the European Union has direct impacts on financial stability and economic sustainability in view of adoption of the euro. The purpose of the article is to identify the degree of coherence of credit cycles in the cou...

  • Article
  • Open Access
2 Citations
3,494 Views
27 Pages

14 September 2021

The Wasserstein distance, especially among symmetric positive-definite matrices, has broad and deep influences on the development of artificial intelligence (AI) and other branches of computer science. In this paper, by involving the Wasserstein metr...

  • Article
  • Open Access
9 Citations
3,693 Views
22 Pages

Granger Causality among Graphs and Application to Functional Brain Connectivity in Autism Spectrum Disorder

  • Adèle Helena Ribeiro,
  • Maciel Calebe Vidal,
  • João Ricardo Sato and
  • André Fujita

13 September 2021

Graphs/networks have become a powerful analytical approach for data modeling. Besides, with the advances in sensor technology, dynamic time-evolving data have become more common. In this context, one point of interest is a better understanding of the...

  • Article
  • Open Access
3 Citations
2,147 Views
17 Pages

13 September 2021

Quantum equations for massless particles of any spin are considered in stationary uncharged axially symmetric spacetimes. It is demonstrated that up to a normalization function, the angular wave function does not depend on the metric and practically...

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Entropy - ISSN 1099-4300