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Entropy, Volume 26, Issue 1

2024 January - 96 articles

Cover Story: Schrödinger’s essay about a cat in a superposition of dead and alive states presents an inconsistency between quantum mechanics and macroscopic realism, which posits the cat to be dead or alive prior to observation. The paradox is clarified by examining two entangled “cats”. The “cats” are fields; the spin up and down states are macroscopically distinct coherent states, and the measurement settings are adjusted using nonlinear interactions. Quantum mechanics predicts a violation of a Bell inequality, hence falsifying “deterministic macroscopic realism”. However, by distinguishing between the cat-systems before and after the setting interactions, and analyzing the Q-function, one finds consistency with a subset of the Einstein–Podolsky–Rosen premises, meaning that “weak macroscopic realism” is preserved. View this paper
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Articles (96)

  • Article
  • Open Access
18 Citations
8,648 Views
31 Pages

FedTKD: A Trustworthy Heterogeneous Federated Learning Based on Adaptive Knowledge Distillation

  • Leiming Chen,
  • Weishan Zhang,
  • Cihao Dong,
  • Dehai Zhao,
  • Xingjie Zeng,
  • Sibo Qiao,
  • Yichang Zhu and
  • Chee Wei Tan

22 January 2024

Federated learning allows multiple parties to train models while jointly protecting user privacy. However, traditional federated learning requires each client to have the same model structure to fuse the global model. In real-world scenarios, each cl...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
3 Citations
2,936 Views
23 Pages

22 January 2024

The paper makes a case that the current discussions on replicability and the abuse of significance testing have overlooked a more general contributor to the untrustworthiness of published empirical evidence, which is the uninformed and recipe-like im...

(This article belongs to the Special Issue Entropy, Statistical Evidence, and Scientific Inference: Evidence Functions in Theory and Applications)
  • Article
  • Open Access
7 Citations
2,831 Views
21 Pages

22 January 2024

Evaluating the capabilities of a satellite communication system (SCS) is challenging due to its complexity and ambiguity. It is difficult to accurately analyze uncertain situations, making it difficult for experts to determine appropriate evaluation...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
10 Citations
7,927 Views
16 Pages

Continual Reinforcement Learning for Quadruped Robot Locomotion

  • Sibo Gai,
  • Shangke Lyu,
  • Hongyin Zhang and
  • Donglin Wang

22 January 2024

The ability to learn continuously is crucial for a robot to achieve a high level of intelligence and autonomy. In this paper, we consider continual reinforcement learning (RL) for quadruped robots, which includes the ability to continuously learn sub...

(This article belongs to the Special Issue Information-Theoretic Methods in Deep Learning: Theory and Applications)
  • Article
  • Open Access
10 Citations
5,949 Views
25 Pages

22 January 2024

Large-scale and high-dimensional time series data are widely generated in modern applications such as intelligent transportation and environmental monitoring. However, such data contains much noise, outliers, and missing values due to interference du...

  • Article
  • Open Access
22 Citations
7,308 Views
22 Pages

22 January 2024

The profound impacts of severe air pollution on human health, ecological balance, and economic stability are undeniable. Precise air quality forecasting stands as a crucial necessity, enabling governmental bodies and vulnerable communities to proacti...

(This article belongs to the Topic Complex Systems and Artificial Intelligence)
  • Perspective
  • Open Access
10 Citations
12,790 Views
22 Pages

Neural Geometrodynamics, Complexity, and Plasticity: A Psychedelics Perspective

  • Giulio Ruffini,
  • Edmundo Lopez-Sola,
  • Jakub Vohryzek and
  • Roser Sanchez-Todo

22 January 2024

We explore the intersection of neural dynamics and the effects of psychedelics in light of distinct timescales in a framework integrating concepts from dynamics, complexity, and plasticity. We call this framework neural geometrodynamics for its paral...

(This article belongs to the Section Entropy and Biology)
  • Feature Paper
  • Article
  • Open Access
1 Citations
4,320 Views
16 Pages

Geometric Phase of a Transmon in a Dissipative Quantum Circuit

  • Ludmila Viotti,
  • Fernando C. Lombardo and
  • Paula I. Villar

22 January 2024

Superconducting circuits reveal themselves as promising physical devices with multiple uses. Within those uses, the fundamental concept of the geometric phase accumulated by the state of a system shows up recurrently, as, for example, in the construc...

(This article belongs to the Special Issue Dynamics of Open Quantum Systems: Quantum Fluctuations, Decoherence and Emergent Phenomena)
  • Article
  • Open Access
3 Citations
3,099 Views
25 Pages

20 January 2024

It has been over 100 years since the discovery of one of the most fundamental statistical tests: the Student’s t test. However, reliable conventional and objective Bayesian procedures are still essential for routine practice. In this work, we p...

(This article belongs to the Special Issue Bayesianism)
  • Article
  • Open Access
2,060 Views
19 Pages

Degeneracy and Photon Trapping in a Dissipationless Two-Mode Optomechanical Model

  • Thiago Alonso Merici,
  • Thiago Gomes De Mattos and
  • José Geraldo Peixoto De Faria

19 January 2024

In this work, we theoretically study a finite and undamped two-mode optomechanical model consisting of a high quality optical cavity containing a thin, elastic, and dielectric membrane. The main objective is to investigate the precursors of quantum p...

(This article belongs to the Section Non-equilibrium Phenomena)
  • Review
  • Open Access
2 Citations
2,822 Views
29 Pages

An Information Theoretic Condition for Perfect Reconstruction

  • Idris Delsol,
  • Olivier Rioul,
  • Julien Béguinot,
  • Victor Rabiet and
  • Antoine Souloumiac

19 January 2024

A new information theoretic condition is presented for reconstructing a discrete random variable X based on the knowledge of a set of discrete functions of X. The reconstruction condition is derived from Shannon’s 1953 lattice theory with two e...

(This article belongs to the Special Issue Shannon Entropy: Mathematical View)
  • Article
  • Open Access
10 Citations
3,232 Views
16 Pages

Identification of Critical Links Based on Electrical Betweenness and Neighborhood Similarity in Cyber-Physical Power Systems

  • Jiuling Dong,
  • Zilong Song,
  • Yuanshuo Zheng,
  • Jingtang Luo,
  • Min Zhang,
  • Xiaolong Yang and
  • Hongbing Ma

19 January 2024

Identifying critical links is of great importance for ensuring the safety of the cyber-physical power system. Traditional electrical betweenness only considers power flow distribution on the link itself, while ignoring the local influence of neighbor...

(This article belongs to the Special Issue Application of Information Theory to Physical Modeling and State Awareness in Complex Systems)
  • Article
  • Open Access
5 Citations
2,910 Views
15 Pages

18 January 2024

In this work, a lattice Boltzmann method (LBM) for studying microchannel gas flow is developed in the multi-flow regime. In the LBM, by comparing previous studies’ results on effective viscosity in multi-flow regimes, the values of the rarefact...

(This article belongs to the Section Statistical Physics)
  • Article
  • Open Access
10 Citations
5,160 Views
32 Pages

18 January 2024

Robust evidence suggests that humans explore their environment using a combination of topological landmarks and coarse-grained path integration. This approach relies on identifiable environmental features (topological landmarks) in tandem with estima...

(This article belongs to the Special Issue From Functional Imaging to Free Energy—Dedicated to Professor Karl Friston on the Occasion of His 65th Birthday)
  • Feature Paper
  • Article
  • Open Access
6 Citations
2,993 Views
13 Pages

18 January 2024

Slope Entropy (SlpEn) is a novel method recently proposed in the field of time series entropy estimation. In addition to the well-known embedded dimension parameter, m, used in other methods, it applies two additional thresholds, denoted as δ a...

(This article belongs to the Special Issue Recent Advances in Entropy and Divergence Measures, with Applications in Statistics and Machine Learning)
  • Article
  • Open Access
2,433 Views
11 Pages

18 January 2024

The brain is a fundamental organ for the human body to function properly, for which it needs to receive a continuous flow of blood, which explains the existence of control mechanisms that act to maintain this flow as constant as possible in a process...

(This article belongs to the Section Entropy and Biology)
  • Article
  • Open Access
12 Citations
3,996 Views
27 Pages

17 January 2024

Quantum secure multi-party summation (QSMS) is a fundamental problem in quantum secure multi-party computation (QSMC), wherein multiple parties compute the sum of their data without revealing them. This paper proposes a novel QSMS protocol based on g...

(This article belongs to the Special Issue Quantum and Classical Physical Cryptography)
  • Article
  • Open Access
12 Citations
4,889 Views
26 Pages

Entropy Estimators for Markovian Sequences: A Comparative Analysis

  • Juan De Gregorio,
  • David Sánchez and
  • Raúl Toral

17 January 2024

Entropy estimation is a fundamental problem in information theory that has applications in various fields, including physics, biology, and computer science. Estimating the entropy of discrete sequences can be challenging due to limited data and the l...

(This article belongs to the Special Issue Recent Advances in Entropy and Divergence Measures, with Applications in Statistics and Machine Learning)
  • Article
  • Open Access
4 Citations
3,520 Views
12 Pages

17 January 2024

(1) The enhanced capability of graph neural networks (GNNs) in unsupervised community detection of clustered nodes is attributed to their capacity to encode both the connectivity and feature information spaces of graphs. The identification of latent...

(This article belongs to the Special Issue Advances in Complex Networks and Their Applications, from COMPLEX NETWORKS 2023)
  • Feature Paper
  • Article
  • Open Access
5 Citations
2,941 Views
14 Pages

Multi-Additivity in Kaniadakis Entropy

  • Antonio M. Scarfone and
  • Tatsuaki Wada

17 January 2024

It is known that Kaniadakis entropy, a generalization of the Shannon–Boltzmann–Gibbs entropic form, is always super-additive for any bipartite statistically independent distributions. In this paper, we show that when imposing a suitable c...

(This article belongs to the Special Issue Twenty Years of Kaniadakis Entropy: Current Trends and Future Perspectives)
  • Article
  • Open Access
1 Citations
2,672 Views
11 Pages

17 January 2024

We are looking at an aggregation of matter into granules. Diffusion plays a pivotal role here. When going down to the nanometer scale (the so-called nanoscale quantum-size effect limit), quantum mechanics, and the Heisenberg uncertainty relation, may...

(This article belongs to the Special Issue Matter-Aggregating Systems at a Classical vs. Quantum Interface)
  • Feature Paper
  • Article
  • Open Access
1 Citations
2,974 Views
17 Pages

Quantum Measurements and Delays in Scattering by Zero-Range Potentials

  • Xabier Gutiérrez,
  • Marisa Pons and
  • Dmitri Sokolovski

16 January 2024

Eisenbud–Wigner–Smith delay and the Larmor time give different estimates for the duration of a quantum scattering event. The difference is most pronounced in the case where the de Broglie wavelength is large compared to the size of the sc...

(This article belongs to the Special Issue Quantum Mechanics and the Challenge of Time)
  • Article
  • Open Access
5 Citations
2,982 Views
26 Pages

Identity-Based Matchmaking Encryption with Equality Test

  • Zhen Yan,
  • Xijun Lin,
  • Xiaoshuai Zhang,
  • Jianliang Xu and
  • Haipeng Qu

15 January 2024

The identity-based encryption with equality test (IBEET) has become a hot research topic in cloud computing as it provides an equality test for ciphertexts generated under different identities while preserving the confidentiality. Subsequently, for t...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
7 Citations
3,205 Views
15 Pages

Study on Microstructure and High Temperature Stability of WTaVTiZrx Refractory High Entropy Alloy Prepared by Laser Cladding

  • Xiaoyu Ding,
  • Weigui Wang,
  • Haojie Zhang,
  • Xueqin Tian,
  • Laima Luo,
  • Yucheng Wu and
  • Jianhua Yao

15 January 2024

The extremely harsh environment of the high temperature plasma imposes strict requirements on the construction materials of the first wall in a fusion reactor. In this work, a refractory alloy system, WTaVTiZrx, with low activation and high entropy,...

  • Article
  • Open Access
1 Citations
2,751 Views
19 Pages

14 January 2024

This paper presents an adaptive learning structure based on neural networks (NNs) to solve the optimal robust control problem for nonlinear continuous-time systems with unknown dynamics and disturbances. First, a system identifier is introduced to ap...

(This article belongs to the Section Multidisciplinary Applications)
  • Feature Paper
  • Article
  • Open Access
3 Citations
3,295 Views
28 Pages

Leakage Benchmarking for Universal Gate Sets

  • Bujiao Wu,
  • Xiaoyang Wang,
  • Xiao Yuan,
  • Cupjin Huang and
  • Jianxin Chen

13 January 2024

Errors are common issues in quantum computing platforms, among which leakage is one of the most-challenging to address. This is because leakage, i.e., the loss of information stored in the computational subspace to undesired subspaces in a larger Hil...

(This article belongs to the Special Issue Quantum Computing in the NISQ Era)
  • Article
  • Open Access
6 Citations
3,234 Views
25 Pages

12 January 2024

This study presents a novel approach to predicting price fluctuations for U.S. sector index ETFs. By leveraging information-theoretic measures like mutual information and transfer entropy, we constructed threshold networks highlighting nonlinear depe...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Feature Paper
  • Article
  • Open Access
3 Citations
2,765 Views
14 Pages

12 January 2024

We discuss the derivation of the electrodynamics of superconductors coupled to the electromagnetic field from a Lorentz-invariant bosonic model of Cooper pairs. Our results are obtained at zero temperature where, according to the third law of thermod...

(This article belongs to the Section Statistical Physics)
  • Review
  • Open Access
26 Citations
7,212 Views
21 Pages

Topological Data Analysis in Cardiovascular Signals: An Overview

  • Enrique Hernández-Lemus,
  • Pedro Miramontes and
  • Mireya Martínez-García

12 January 2024

Topological data analysis (TDA) is a recent approach for analyzing and interpreting complex data sets based on ideas a branch of mathematics called algebraic topology. TDA has proven useful to disentangle non-trivial data structures in a broad range...

(This article belongs to the Special Issue Nonlinear Dynamics in Cardiovascular Signals)
  • Feature Paper
  • Article
  • Open Access
3 Citations
3,180 Views
13 Pages

Square Root Statistics of Density Matrices and Their Applications

  • Lyuzhou Ye,
  • Youyi Huang,
  • James C. Osborn and
  • Lu Wei

12 January 2024

To estimate the degree of quantum entanglement of random pure states, it is crucial to understand the statistical behavior of entanglement indicators such as the von Neumann entropy, quantum purity, and entanglement capacity. These entanglement metri...

(This article belongs to the Section Statistical Physics)
  • Feature Paper
  • Article
  • Open Access
1 Citations
3,194 Views
13 Pages

12 January 2024

A quantum game is constructed from a sequence of independent and identically polarised spin-1/2 particles. Information about their possible polarisation is provided to a bettor, who can wager in successive double-or-nothing games on measurement outco...

(This article belongs to the Special Issue Quantum Correlations, Contextuality, and Quantum Nonlocality)
  • Article
  • Open Access
3 Citations
3,367 Views
25 Pages

12 January 2024

In deep learning of classifiers, the cost function usually takes the form of a combination of SoftMax and CrossEntropy functions. The SoftMax unit transforms the scores predicted by the model network into assessments of the degree (probabilities) of...

(This article belongs to the Special Issue Entropy in Machine Learning Applications)
  • Article
  • Open Access
4 Citations
2,796 Views
14 Pages

11 January 2024

We propose a secure user pairing (UP) and power allocation (PA) strategy for a downlink Non-Orthogonal Multiple Access (NOMA) system when there exists an external eavesdropper. The secure transmission of data through the downlink is constructed to op...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
4 Citations
3,037 Views
18 Pages

A Gibbs Posterior Framework for Fair Clustering

  • Abhisek Chakraborty,
  • Anirban Bhattacharya and
  • Debdeep Pati

11 January 2024

The rise of machine learning-driven decision-making has sparked a growing emphasis on algorithmic fairness. Within the realm of clustering, the notion of balance is utilized as a criterion for attaining fairness, which characterizes a clustering mech...

(This article belongs to the Special Issue Probabilistic Models in Machine and Human Learning)
  • Article
  • Open Access
1 Citations
2,377 Views
13 Pages

11 January 2024

Parameter estimation is an important component of statistical inference, and how to improve the accuracy of parameter estimation is a key issue in research. This paper proposes a linear Bayesian estimation for estimating parameters in a misrecorded P...

(This article belongs to the Special Issue Bayesianism)
  • Article
  • Open Access
5 Citations
4,387 Views
24 Pages

10 January 2024

Image stitching aims to synthesize a wider and more informative whole image, which has been widely used in various fields. This study focuses on improving the accuracy of image mosaic and proposes an image mosaic method based on local edge contour ma...

(This article belongs to the Section Signal and Data Analysis)
  • Article
  • Open Access
13 Citations
4,381 Views
16 Pages

Effect of Reduced Graphene Oxide on Microwave Absorbing Properties of Al1.5Co4Fe2Cr High-Entropy Alloys

  • Shuo Wang,
  • Weiran Zhang,
  • Yong Zhang,
  • Jinqiang Zhao,
  • Ruixuan Li and
  • Yujie Zhong

10 January 2024

The microwave absorption performance of high-entropy alloys (HEAs) can be improved by reducing the reflection coefficient of electromagnetic waves and broadening the absorption frequency band. The present work prepared flaky irregular-shaped Al1.5Co4...

  • Editorial
  • Open Access
2,720 Views
3 Pages

10 January 2024

This Special Issue of Entropy, “Complexity and Statistical Physics Approaches to Earthquakes”, sees the successful publication of 11 original scientific articles [...]

(This article belongs to the Special Issue Complexity and Statistical Physics Approaches to Earthquakes)
  • Article
  • Open Access
2,178 Views
15 Pages

9 January 2024

This paper aims to contribute to refining the e-values for testing precise hypotheses, especially when dealing with nuisance parameters, leveraging the effectiveness of asymptotic expansions of the posterior. The proposed approach offers the advantag...

(This article belongs to the Special Issue Bayesianism)
  • Article
  • Open Access
2 Citations
3,587 Views
17 Pages

9 January 2024

Image fusion is the generation of an informative image that contains complementary information from the original sensor images, such as texture details and attentional targets. Existing methods have designed a variety of feature extraction algorithms...

(This article belongs to the Section Signal and Data Analysis)
  • Feature Paper
  • Article
  • Open Access
8 Citations
3,367 Views
22 Pages

Daily Streamflow of Argentine Rivers Analysis Using Information Theory Quantifiers

  • Micaela Suriano,
  • Leonidas Facundo Caram and
  • Osvaldo Anibal Rosso

9 January 2024

This paper analyzes the temporal evolution of streamflow for different rivers in Argentina based on information quantifiers such as statistical complexity and permutation entropy. The main objective is to identify key details of the dynamics of the a...

(This article belongs to the Special Issue Selected Featured Papers from Entropy Editorial Board Members)
  • Correction
  • Open Access
1,470 Views
2 Pages
  • Article
  • Open Access
3 Citations
3,314 Views
17 Pages

8 January 2024

This paper presents a coding scheme based on bilayer low-density parity-check (LDPC) codes for multi-level cell (MLC) NAND flash memory. The main feature of the proposed scheme is that it exploits the asymmetric properties of an MLC flash channel and...

(This article belongs to the Special Issue Advances in Information and Coding Theory II)
  • Article
  • Open Access
7 Citations
3,802 Views
24 Pages

7 January 2024

An effective post-processing algorithm is essential for achieving high rates of secret key generation in quantum key distribution. This work introduces an approach to quantum key distribution post-processing by integrating the three main steps into a...

(This article belongs to the Special Issue Quantum and Classical Physical Cryptography)
  • Article
  • Open Access
1 Citations
2,652 Views
26 Pages

6 January 2024

In this paper, a unified gas kinetic particle (UGKP) method is developed for radiative transfer in both absorbing and anisotropic scattering media. This numerical method is constructed based on our theoretical work on the model reduction for an aniso...

(This article belongs to the Special Issue Kinetic Theory-Based Methods in Fluid Dynamics, 2nd Edition)
  • Feature Paper
  • Article
  • Open Access
2 Citations
3,042 Views
18 Pages

5 January 2024

The central limit theorem states that, in the limits of a large number of terms, an appropriately scaled sum of independent random variables yields another random variable whose probability distribution tends to attain a stable distribution. The cond...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Review
  • Open Access
14 Citations
5,807 Views
26 Pages

A Selective Review on Information Criteria in Multiple Change Point Detection

  • Zhanzhongyu Gao,
  • Xun Xiao,
  • Yi-Ping Fang,
  • Jing Rao and
  • Huadong Mo

4 January 2024

Change points indicate significant shifts in the statistical properties in data streams at some time points. Detecting change points efficiently and effectively are essential for us to understand the underlying data-generating mechanism in modern dat...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
1 Citations
3,288 Views
22 Pages

Transfer Learning in Multiple Hypothesis Testing

  • Stefano Cabras and
  • María Eugenia Castellanos Nueda

4 January 2024

In this investigation, a synthesis of Convolutional Neural Networks (CNNs) and Bayesian inference is presented, leading to a novel approach to the problem of Multiple Hypothesis Testing (MHT). Diverging from traditional paradigms, this study introduc...

(This article belongs to the Topic Interfacing Statistics, Machine Learning and Data Science from a Probabilistic Modelling Viewpoint)
  • Article
  • Open Access
1 Citations
2,216 Views
12 Pages

2 January 2024

This paper introduces the notion of multi-sensitivity with respect to a vector within the context of non-autonomous dynamical systems on uniform spaces and provides insightful results regarding N-sensitivity and strongly multi-sensitivity, along...

(This article belongs to the Section Complexity)
  • Article
  • Open Access
7 Citations
3,349 Views
17 Pages

2 January 2024

The detection of instability inception is favorable to avoid compressor instability. In this paper, a multiscale entropy-based feature extraction is developed for the detection of the instability inception in axial compressors. Nonlinear and statisti...

(This article belongs to the Section Signal and Data Analysis)

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Entropy - ISSN 1099-4300