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Symmetry

Symmetry is an international, peer-reviewed, open access journal covering research on symmetry/asymmetry phenomena wherever they occur in all aspects of natural sciences, and is published monthly online by MDPI.

Quartile Ranking JCR - Q2 (Multidisciplinary Sciences)

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All Articles (16,948)

Accurately predicting the remaining useful life (RUL) of ship shafting is crucial for ensuring navigation safety and optimizing operation and maintenance. Traditional Bayesian Network (BN) methods are usually based on the assumption of symmetric distributions. They struggle to effectively characterize common statistical properties such as asymmetry and heavy tails during the shafting degradation process, leading to biases in prediction results. To address this issue, this study proposes an Asymmetric Distribution Bayesian Network (ADBN) method. The method consists of three key components. Firstly, each node selects the optimal asymmetric distribution form based on the Bayesian Information Criterion (BIC) to better fit data characteristics. Secondly, a Generalized Linear Model (GLM) is used to associate distribution parameters (e.g., location, scale, shape) with parent node states, enabling the conditional distribution to adaptively evolve with the system degradation process. Finally, to tackle the complex inference problem under asymmetric distributions, an approximate algorithm based on stochastic gradient variational inference is designed to ensure prediction timeliness. Experimental results show that the ADBN method outperforms traditional Gaussian networks in terms of Mean Absolute Error in the early, middle, and late stages of RUL prediction, and can provide more accurate prediction intervals. This research offers a probabilistic approach that better aligns with actual statistical properties for modeling ship shafting degradation.

4 March 2026

Framework of Asymmetric Distribution Bayesian Network (ADBN) for ship shaft RUL prediction.

Neural Network Auto-Design Algorithm for Urban Travel Time Prediction

  • Eduardo Chandomí-Castellanos,
  • Elías N. Escobar-Gómez and
  • Esvan-Jesús Pérez-Pérez
  • + 4 authors

This paper proposes to estimate the travel time at each edge of an urban street network using Artificial Neural Networks (ANNs). To improve the ANN performance and minimize errors in manual design, an Algorithm Auto-Design ANN Topology (A-DANNT) is introduced that automatically determines the most suitable architecture for regression problems. The methodology implements an algorithm based on Tabu Search, called the Best R-Value Determination algorithm (BR-vD), which optimizes the topology obtaining a lower Mean Square Error (MSE) and a higher correlation coefficient. The process is developed in three phases: first, the variables that impact the travel time are analyzed; then, the proposed algorithm is used to find the best topology; and finally, the travel times are estimated. The proposal is evaluated in two case studies: in the first, the algorithm automatically designs the architecture, and a 0.99366 correlation coefficient is achieved between the results and the objectives. In the second case, the performance of the algorithm is compared with a fuzzy travel time model, achieving a 0.99898 correlation coefficient. In both cases, the proposed algorithm is capable of designing topologies with coefficients greater than 0.99 and Mean Absolute Errors (MAEs) of 3.2765 and 0.6957 s, respectively.

4 March 2026

The neuron nonlinear model.

Symmetry is a key principle in physics that links basic invariances to the structure of matter and the evolution of the universe. In this review, we use symmetry as a unifying thread connecting nuclear structure, nuclear reactions, and dense matter, and we highlight how symmetry-based arguments connect laboratory observables to astrophysical constraints. We present the essential concepts in a form accessible to a broad physics audience.

3 March 2026

Overview linking symmetry classes (Section 2) to laboratory observables and, via isovector EoS inference, to neutron-star properties. The dashed arrow indicates model/analysis inputs that enter primarily at the EoS-inference stage. Abbreviations: P = parity; T = time reversal; GT = Gamow–Teller; IAS = isobaric analog state(s); PVES = parity-violating electron scattering; atomic PV = atomic parity violation; EDF = energy-density functional; EFT = effective field theory; 
  
    n
    s
  
 = saturation density; 
  
    R
    
      1.4
    
  
 and 
  
    Λ
    
      1.4
    
  
 denote the radius and tidal deformability of a 
  
    1.4
    
    
      M
      ⊙
    
  
 neutron star; 
  
    M
    max
  
 is the maximum gravitational mass; EDM = electric dipole moment.

To address severe measurement error fluctuations and heterogeneous information source uncertainties in master–slave unmanned aerial vehicle (UAV) formations, a high-precision cooperative navigation method is proposed. Integrating inertial navigation, satellite positioning, and inter-UAV relative distance, the method innovatively introduces three key components: a multi-source information fusion-based cooperative navigation framework for accurate formation state estimation, a cooperative geometric dilution of precision (CGDOP) model based on hybrid observation configurations for positioning accuracy evaluation, and a dynamic-weight Gaussian belief propagation (WGBP) algorithm for adaptive measurement weight adjustment to suppress low-quality observation interference. Experiments demonstrate that WGBP achieves the lowest mean error in 22 out of 24 cases and the smallest standard deviation in 21 cases compared with EKF, WGP, HRGBP, and WGBP. Empirical field experiments further demonstrate consistent superiority of WGBP in dynamic environments.

3 March 2026

Block diagram of the system architecture.

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Symmetry Application in Motor Control in Sports and Rehabilitation
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Symmetry Application in Motor Control in Sports and Rehabilitation

Editors: Arthur de Sá Ferreira, Fabio Vieira dos Anjos
Symmetry/Asymmetry Studies in Modern Power Systems
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Symmetry/Asymmetry Studies in Modern Power Systems

Editors: Tao Zhou, Cheng Wang, Zhong Chen, Lei Chen
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Symmetry - ISSN 2073-8994