Reliability of radiomics features as imaging biomarkers for evaluating brain aging: A study based on myelin protein and diffusion tensor imaging by Yuting Yan, Mengmeng Hu, Xiaodong He, Yuyun Xu, Xiaojun Sun, Jiaxuan Peng, Fanfan Zhao, Yuan Shao

“…Wavelet-HLL_glszm_ZoneEntropy, wavelet-HLL_gldm_DependenceEntropy, wavelet-LHL_glszm_ZoneEntropy, and log-sigma-2-0-mm-3D_gldm_DependenceEntropy were the four most relevant features, which had moderately significant correlations with PLP. …”
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Indication of Disrupted Temporal Structure in the Case of Thought Blocks in Schizophrenia: The Role of the Metastable Balance by Elias Koutsoukos, Elias Angelopoulos

“…This disruption was found to occur under dense auditory verbal hallucinations (AVHs) which are accompanied by thought blocking (TB) phenomena. The entropy that quantifies the complexity of the spontaneous coupling has been used to describe the observed transitions. …”
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Modified Chen distribution: Properties, estimation, and applications in reliability analysis by M. G. M. Ghazal

“…We examined its statistical properties, such as moments, mean time to failure, mean residual life, Rényi entropy, and order statistics. Model parameters, along with survival and hazard functions, were estimated by utilizing maximum likelihood estimators and two types of bootstrap confidence intervals. …”
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Research on the Complexity and Chaos Control about a Closed-Loop Supply Chain with Dual-Channel Recycling and Uncertain Consumer Perception by Junhai Ma, Hao Ren, Miao Yu, Meihong Zhu

“…We carry on theoretical analysis of this model and perform numerical simulations from the perspective of entropy theory. Results show that a precipitous speed of recycling price adjustment of the manufacturer or the third-party will both lead the system into a chaotic state and cause the entropy of the system to increase. …”
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Presenting a method to reduce the sensitivity of incremental clustering algorithms of XML documents based on collective intelligence algorithms by Mohammad Nazari Farokhi, Ebrahim Nazari Farokhi, Ali Norouzbakhsh

“…In this research, our proposed method was compared with XCLS and XCLS+ methods in three evaluation criteria: Entropy, Purity and Fscore. The results showed that the proposed method is preferable to the XCLS and XCLS+ methods in terms of Entropy, Purity and Fscore, and it is slightly less efficient than the XCLS+ method only in the Fscore criterion.…”
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Multicriteria Model for Shared Parking and Parking Route Recommender Systems by Pengfei Zhao, Lingxiang Wei, Dong Pan, Shuai Dong

“…Furthermore, an analytic hierarchy process Entropy-TOPSIS grey relational analysis (AHP-Entropy-TOPSIS-GRA) method and an improved ant colony algorithm were proposed to solve the proposed allocation of parking spaces and recommend optimal parking routes, respectively. …”
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T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ deformations from AdS2 to dS2 by Sergio E. Aguilar-Gutierrez, Andrew Svesko, Manus R. Visser

“…We explore two distinct ways to achieve this: either through so-called centaur geometries that interpolate between AdS2 and dS2, or by a spherical dimensional reduction of T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ + Λ2 theories that were proposed to give a microscopic interpretation of three-dimensional de Sitter entropy. We derive the microscopic energy spectrum, heat capacities, and deformed Cardy expressions for the thermodynamic entropy in the canonical and microcanonical ensembles for these two setups. …”
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Sufficient statistics for the Pareto distribution parameter by I. S. Pulkin, A. V. Tatarintsev

“…For the product of the sample elements considered as a random variable the distribution function and probability density are found; mathematical expectation, higher moments, and differential entropy are calculated. The corresponding graphs are built. …”
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Hybrid TODIM Method with Crisp Number and Probability Linguistic Term Set for Urban Epidemic Situation Evaluation by Wenshuai Wu, Zeshui Xu

“…In addition, the concept of entropy and probability linguistic entropy is applied to induce hybrid criteria weight information. …”
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Rolling bearing fault diagnosis based on parameter optimized VMD and improved GoogLeNet by LI Haoran, LIU Deping

“…A rolling bearing fault diagnosis method based on parameter-optimized variational mode decomposition (VMD) noise reduction and GoogLeNet network with improved attention mechanism was proposed.MethodsThe local minimal envelope entropy was used as the fitness function, and the sparrow search algorithm (SSA) was used to optimize the VMD parameter combination; the optimized VMD algorithm was used to decompose the bearing vibration signals to obtain several modal components, and the signals were reconstructed by filtering the modal components with rich fault features according to the envelope entropy and kurtosis; the reconstructed signals were used to construct the feature matrix and input into the improved GoogLeNet network to complete the diagnosis.ResultsThe test results show that the diagnostic accuracy of the method is 95.5% to 99.8% under different noise backgrounds, which is better than other methods in terms of noise robustness.…”
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On Computation and Analysis of Topological Index-Based Invariants for Complex Coronoid Systems by Muhammad Aamer Rashid, Sarfraz Ahmad, Muhammad Kamran Siddiqui, Mohammed K. A. Kaabar

“…The prestigious feature of entropy is that it entitles the amount of uncertainty in a system. …”
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Phase transitions from heating to non-heating in $SU(1,1)$ quantum dynamics: Applications to Bose-Einstein condensates and periodically driven coupled oscillators by Heng-Hsi Li, Po-Yao Chang

“…Similarly, the entanglement entropy and negativity also exhibit distinct behaviors (linearly, oscillatory, and logarithmic growths) characterizing these phases, respectively. …”
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Research on Wood Defects Feature Imbalance Optimization and Recognition by Xiao Wang

“…Results show that Modified Cross Entropy makes model more sensitive to hard samples regardless of the batchsize. …”
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Application of RSSD-OCYCBD Strategy in Enhanced Fault Detection of Rolling Bearing by Xiaolong Wang, Guiji Tang, Yuling He

“…In addition, a new morphological difference operation entropy (MDOE) indicator, which takes advantage of morphological transformation and Shannon entropy, is developed for confirming the influencing parameters of cyclostationary blind deconvolution (CYCBD). …”
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Multistep Wind Speed Prediction Based on the Fractional-Order Longicorn Swarm Algorithm and the Two-Stage Modal Decomposition Strategy by Shuren Pu, Yuanchen Gao, Yifeng Sun, Chang Liu, Siyu He, Fengjiao Wu, Delan Zhu, Bin Wang

“…ESMD is used to decompose the original wind speed time series. The diversity entropy is introduced as the criterion, and the FO-BSO-VMD secondary decomposition is applied for the high-entropy modal components to further weaken the volatility of wind speed. …”
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Image Denoising of Adaptive Fractional Operator Based on Atangana–Baleanu Derivatives by Xiaoran Lin, Yachao Wang, Guohao Wu, Jing Hao

“…Edge intensity, global entropy, local entropy, and local variance weights are used to construct an adaptive order function that can adapt to changes in different regions of an image. …”
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Analysis of scattered supernatant patterns in Tehran urban complex Emphasizing on the approaches of the urban management system by Sogand Yousefi azarabarghani, Hamid Majedi, Zahra Sadat Saeideh Zarabadi

“…In this regard, physical continuity in Tehran urban complex through Shannon entropy model, functional continuity through network analysis model (investigation of habitat and flow points and distribution and land use composition) and poor urban slope growth using Helder model The measurement is located. …”
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Invariant Measures Based on the U-Correlation Integral: An Application to the Study of Human Voice by Juan F. Restrepo, Gastón Schlotthauer

“…Nonlinear measures such as the correlation dimension, the correlation entropy, and the noise level were used in this article to characterize normal and pathological voices. …”
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Evaluation of urban regeneration of worn-out neighborhoods to enhance physical resilience (Case study: The worn-out texture of Faroj city) by ameneh naghdi, Ezzatolah mafi, Mehdi Vatanparast

“…Based on the Shannon entropy, it has been concluded that neighborhoods 5 and 7 have been prioritized for physical resilience. …”
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Phase Transition, Magnetocaloric Effect, and Critical Behavior of Room Temperature Magnetic Refrigerant Material Mn5Ge2.7Zn0.3 by XU Tongjie, LIU Zhenhua, JIN Huaiyu, LIU Jie, JIANG Xiuli, LI Zhe, LIU Yongsheng

“…The sample underwent a second-order phase transition through the M2-H/M plot and Banerjee’s criterion, and the isothermal entropy change of the sample was further calculated according to Maxwell’s equation, and the power-law relationship of field-entropy and the normalization curve also verified the fact of the second-order phase transition. …”
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