Entropy

Article	Citations
Inverted Oscillator Quantum States in the Probability Representation	177
Robustness Analysis of Multilayer Infrastructure Networks Based on Incomplete Information Stackelberg Game: Considering Cascading Failures	171
Even and Odd Cat States of Two and Three Qubits in the Probability Representation of Quantum Mechanics	131
Adaptive Kalman Filtering Localization Calibration Method Based on Dynamic Mutation Perception and Collaborative Correction	124
Uncovering Neural Learning Dynamics Through Latent Mutual Information	115
Dynamic Phase Transition in 2D Ising Systems: Effect of Anisotropy and Defects	97
Invariant Representation Learning in Multimedia Recommendation with Modality Alignment and Model Fusion	94
On the Inherent Instability of Biocognition: Toward New Probability Models and Statistical Tools	88
Experimental Diagnosis on Combustion Characteristic of Shock Wave Focusing Initiation Engine	82
Group Testing with Blocks of Positives and Inhibitors	78
Composite Discordant States and Quantum Darwinism	76
Evidence for Dark Energy Driven by Star Formation: Information Dark Energy?	75
Mixture Complexity and Its Application to Gradual Clustering Change Detection	75
On the Optimal Error Exponent of Type-Based Distributed Hypothesis Testing	69
Gaussian and Lerch Models for Unimodal Time Series Forcasting	67
Topological Dimensions from Disorder and Quantum Mechanics?	67
Connectivity of Random Geometric Hypergraphs	65
Wealth Redistribution and Mutual Aid: Comparison Using Equivalent/Non-Equivalent Exchange Models of Econophysics	65
Nested Binary Classifier as an Outlier Detection Method in Human Activity Recognition Systems	63
Communication Complexity of Entanglement-Assisted Multi-Party Computation	62
Increasing Extractable Work in Small Qubit Landscapes	58
An Agent-Based Statistical Physics Model for Political Polarization: A Monte Carlo Study	57
Wavelet-Based Multiscale Intermittency Analysis: The Effect of Deformation	52
A Review of Partial Information Decomposition in Algorithmic Fairness and Explainability	51
MRNG: Accessing Cosmic Radiation as an Entropy Source for a Non-Deterministic Random Number Generator	50

Organizational Labor Flow Networks and Career Forecasting	50
Evolutionary Method of Heterogeneous Combat Network Based on Link Prediction	49
Estimation of Entropy Generation in a SCR-DeNOx System with AdBlue Spray Dynamic Using Large Eddy Simulation	47
Limit Laws for Sums of Logarithms of k-Spacings	47
Local Entropy Optimization–Adaptive Demodulation Reassignment Transform for Advanced Analysis of Non-Stationary Mechanical Signals	47
The Density Profile of a Neutron Star	47
Bounded Variation Separates Weak and Strong Average Lipschitz	47
Non-Equilibrium Wigner Function and Application to Model of Catalyzed Polymerization	46
Optimized Generalized LDPC Convolutional Codes	46
Multilayer Network Analysis of European Regional Flows	46
Robust Model-Free Identification of the Causal Networks Underlying Complex Nonlinear Systems	45
Comment on Cimmelli, V.A. Interpretation of Second Law of Thermodynamics in Extended Procedures for the Exploitation of the Entropy Inequality: Korteweg Fluids and Strain-Gradient Elasticity as Exampl	45
Unsupervised Anomaly Detection for Intermittent Sequences Based on Multi-Granularity Abnormal Pattern Mining	45
Automatic Vertebral Rotation Angle Measurement of 3D Vertebrae Based on an Improved Transformer Network	45
Multi-Receptive Field Soft Attention Part Learning for Vehicle Re-Identification	45
Classical Modeling of a Lossy Gaussian Bosonic Sampler	44
A van der Waals Model of Solvation Thermodynamics	43
Effect of Pure Dephasing Quantum Noise in the Quantum Search Algorithm Using Atos Quantum Assembly	43
Quantum Dynamical Interpretation of the Mean Strategy	43
A Broken Duet: Multistable Dynamics in Dyadic Interactions	43
On Superposition Lattice Codes for the K-User Gaussian Interference Channel	42
Why Does Cross-Sectional Analyst Coverage Incorporate Market-Wide Information?	42
Analysis of Complex Network Attack and Defense Game Strategies Under Uncertain Value Criterion	41
Chaos in Opinion-Driven Disease Dynamics	41
Probability Distributions Describing Qubit-State Superpositions	40
Simulation Studies of Dynamical Heterogeneity in a Dense Two-Dimensional Dimer–Solvent System with Obstacles	40
Finite-Size Relaxational Dynamics of a Spike Random Matrix Spherical Model	40
Essential Conditions for the Full Synergy of Probability of Occurrence Distributions	39
Information and Agreement in the Reputation Game Simulation	38
Conserved Control Path in Multilayer Networks	38
A Bayesian Analysis of Plant DNA Length Distribution via κ-Statistics	38
Towards Quantum Control with Advanced Quantum Computing: A Perspective	37
A Truth-Oriented Trust Evaluation Model of Shared Traffic Messages in the Internet of Vehicles	37
Dominant Attractor in Coupled Non-Identical Chaotic Systems	37
Learning Energy-Based Models in High-Dimensional Spaces with Multiscale Denoising-Score Matching	36
Conserving Semantic Unit Information and Simplifying Syntactic Constituents to Improve Implicit Discourse Relation Recognition	36
Heat Bath in a Quantum Circuit	35
Feature Screening for High-Dimensional Variable Selection in Generalized Linear Models	35
Continuous Monitoring of Entropy Production and Entropy Flow in Humans Exercising under Heat Stress	35
Infrared and Visible Image Fusion via Attention-Based Adaptive Feature Fusion	35
Simultaneous Momentum and Position Measurement and the Instrumental Weyl-Heisenberg Group	35
Hypergraph Semi-Supervised Contrastive Learning for Hyperedge Prediction Based on Enhanced Attention Aggregator	35
Asymmetric Fractal Characteristics and Market Efficiency Analysis of Style Stock Indices	35
Quantum Coherence and Purity in Dissipative Hydrogen Atoms: Insights from the Lindblad Master Equation	35
Discrete Fourier Transform with Denoise Model Based Least Square Wiener Channel Estimator for Channel Estimation in MIMO-OFDM	34
A Multi-Feature Fusion-Based Two-Stage Method for Airport Crater Extraction from Remote Sensing Images	34
A Study Based on b-Value and Information Entropy in the 2008 Wenchuan 8.0 Earthquake	34
Audio Augmentation for Non-Native Children’s Speech Recognition through Discriminative Learning	34
Spatial Information-Theoretic Optimal LPI Radar Waveform Design	34
Quantum Simulation of the Shortcut to the Adiabatic Passage Using Nuclear Magnetic Resonance	34

Feedback Loops in Opinion Dynamics of Agent-Based Models with Multiplicative Noise	33
Correction: Christov, I.P. Effects of Spatial Nonlocality versus Nonlocal Causality for Bound Electrons in External Fields. Entropy 2022, 24, 840	33
The Dynamical Evolution Parameter in Manifestly Covariant Quantum Gravity Theory	33
Gamow Temperature in Tsallis and Kaniadakis Statistics	33
A Comparison of Entropic Diversity and Variance in the Study of Population Structure	32
Machine Learning-Assisted Hartree–Fock Approach for Energy Level Calculations in the Neutral Ytterbium Atom	32
A Deep Learning-Based Ensemble System for Brent and WTI Crude Oil Price Analysis and Prediction	32
Jensen–Inaccuracy Information Measure	32
QEKI: A Quantum–Classical Framework for Efficient Bayesian Inversion of PDEs	32
Freud’s Model of the Mind Within a Predictive Processing Neuroscientific Paradigm	31
Brief Review on the Connection between the Micro-Canonical Ensemble and the Sq-Canonical Probability Distribution	31
Entropy and Cross-Level Orderliness in Light of the Interconnection between the Neural System and Consciousness	31
Entropic Dynamics of Mutations in SARS-CoV-2 Genomic Sequences	31
Relativistic Heat Conduction in the Large-Flux Regime	31
An Entropy-Based Architecture for Detection of Sepsis in Newborn Cry Diagnostic Systems	31
Reliability-Aware Neural Decoding with Adaptive Multi-Source Information Fusion	31
An Entropic Analysis of Social Demonstrations	31
Shannon Entropy: An Econophysical Approach to Cryptocurrency Portfolios	30
A Good View for Graph Contrastive Learning	30
A Novel Nonparametric Feature Selection Approach Based on Mutual Information Transfer Network	30
Active Inference for Learning and Development in Embodied Neuromorphic Agents	30
Overcoming Dilution of Collision Probability in Satellite Conjunction Analysis via Confidence Distribution	30
Cross-Dataset Facial Micro-Expression Recognition with Regularization Learning and Action Unit-Guided Data Augmentation	29
Improving Image Super-Resolution Based on Multiscale Generative Adversarial Networks	29
Privacy-Preserving ECC-Based AKA for Resource-Constrained IoT Sensor Networks with Forgotten Password Reset	29
Brown and Levy Steady-State Motions	29
Experimental Demonstration of Secure Relay in Quantum Secure Direct Communication Network	29
Analysis of Weather Factors on Aircraft Cancellation using a Multilayer Complex Network	29
Distinguishing Early Depression from Negative Emotion via Multi-Domain EEG Feature Fusion and Multi-Head Additive Attention Network	28
FSN: Joint Entity and Relation Extraction Based on Filter Separator Network	28
Timely Updating on Ber/Geo/1/2 Queue Modeled Status Updating System with Eavesdropper	28
Machine Learning-Based Risk Prediction of Discharge Status for Sepsis	28
A Physics-Informed Neural Network (PINN) Approach to Over-Equilibrium Dynamics in Conservatively Perturbed Linear Equilibrium Systems	28
Information-Theoretic Analysis of Selected Water Force Fields: From Molecular Clusters to Bulk Properties	28
Quantum Communications Feasibility Tests over a UK-Ireland 224 km Undersea Link	28
Interplay Between Vertical and Horizontal Schemes of Computation: From Bayesian Inference to Quantum Logic via Gluing Boolean Algebras	27
TFD-IIS-CRMCB: Telecom Fraud Detection for Incomplete Information Systems Based on Correlated Relation and Maximal Consistent Block	27
Analysis of Aftershocks from California and Synthetic Series by Using Visibility Graph Algorithm	27
Sensing-Assisted Secure Communications over Correlated Rayleigh Fading Channels	27
To Compress or Not to Compress—Self-Supervised Learning and Information Theory: A Review	27
Bitcoin Money Laundering Detection via Subgraph Contrastive Learning	27
Fragility Induced by Interdependency of Complex Networks and Their Higher-Order Networks	27
An Instructive CO2 Adsorption Model for DAC: Wave Solutions and Optimal Processes	27
A Hybrid Quantum Solver for the Lorenz System	27
Second Law of Thermodynamics and Strain Gradient Theories of Elasticity	27
Stochastic Antiresonance for Systems with Multiplicative Noise and Sector-Type Nonlinearities	27
Orientation-Modulated Hyperuniformity in Frustrated Vicsek–Kuramoto Systems	27
Discrete Memristor and Discrete Memristive Systems	27
Studying the Effect of Cold Rolling and Heat Treatment on the Microstructure and Mechanical Properties of the Fe36Mn20Ni20Cr16Al5Si3 High Entropy Alloy	27
Physically Consistent Resolving Simulations of Turbulent Flows	27
Damage Detection of Regular Civil Buildings Using Modified Multi-Scale Symbolic Dynamic Entropy	27
A Quantum Genetic Algorithm for Building a Semantic Textual Similarity Estimation Framework for Plagiarism Detection Applications	26
Lightweight Pre-Trained Korean Language Model Based on Knowledge Distillation and Low-Rank Factorization	26
On Fourier-Based Inequality Indices	26
Shaped-Charge Learning Architecture for the Human–Machine Teams	26
Decision-Making Under Model Misspecification: DRO with Robust Bayesian Ambiguity Sets	26
Asymmetric Protocols for Mode Pairing Quantum Key Distribution with Finite-Key Analysis	26
Anomalous Coulomb-Enhanced Charge Transport in Triangular Triple-Quantum-Dot Systems	26
Revisiting the Characterization of Resting Brain Dynamics with the Permutation Jensen–Shannon Distance	26
Thermodynamic Limits of Fault-Tolerant Quantum Computing Beyond the Weak-Coupling, Quasistatic Regime	26
Optimization of Exergy Output Rate in a Supercritical CO2 Brayton Cogeneration System	26
Efficient, Formal, Material, and Final Causes in Biology and Technology	26
The Impact of COVID-19 on Weak-Form Efficiency in Cryptocurrency and Forex Markets	26
Spectrum Sensing Based on Hybrid Spectrum Handoff in Cognitive Radio Networks	26
Causal Graphical Models and Their Applications	25
Joint Power and Time Allocation in Hybrid NoMA/OMA IoT Networks for Two-Way Communications	25
A Conservative Memristive Chaotic System with Extreme Multistability and Its Application in Image Encryption	25
Parallel Bayesian Optimization of Thermophysical Properties of Low Thermal Conductivity Materials Using the Transient Plane Source Method in the Body-Fitted Coordinate	25
Biophotons: New Experimental Data and Analysis	25
An Unequal Clustering and Multi-Hop Routing Protocol Based on Fuzzy Logic and Q-Learning in WSNs	25
Graph Autoencoder with Preserving Node Attribute Similarity	25
A Hybrid Deep Learning Model for Brain Tumour Classification	25
Axisymmetric Fractional Diffusion with Mass Absorption in a Circle under Time-Harmonic Impact	25
Relative Entropy, Gaussian Concentration and Uniqueness of Equilibrium States	25
Distance Correlation-Based Feature Selection in Random Forest	25
Enhancement of Optomechanical Squeezing of Light Using the Optical Coherent Feedback	25
Influence of Explanatory Variable Distributions on the Behavior of the Impurity Measures Used in Classification Tree Learning	24
Graph Adaptive Attention Network with Cross-Entropy	24
Tuning Deep Learning for Predicting Aluminum Prices Under Different Sampling: Bayesian Optimization Versus Random Search	24
The Statistics of q-Statistics	24

Causality Analysis with Information Geometry: A Comparison	24
DUS Topp–Leone-G Family of Distributions: Baseline Extension, Properties, Estimation, Simulation and Useful Applications	24
Non-Local Vectorial Internal Variables and Generalized Guyer-Krumhansl Evolution Equations for the Heat Flux	24
A Semantic-Enhancement-Based Social Network User-Alignment Algorithm	24
Double-Layer Detection Model of Malicious PDF Documents Based on Entropy Method with Multiple Features	24
A Survey of Deep Learning-Based Multimodal Emotion Recognition: Speech, Text, and Face	24
Adaptive Trust Evaluation Model Based on Entropy Weight Method for Sensing Terminal Process	24
Detection of Respiratory Events during Sleep Based on Fusion Analysis and Entropy Features of Cardiopulmonary Signals	24
Entropy-Based Evidence Functions for Testing Dilation Order via Cumulative Entropies	24
Coupled Electromagnetic-Dynamic Modeling and Bearing Fault Characteristics of Induction Motors considering Unbalanced Magnetic Pull	23
Research of the Algebraic Multigrid Method for Electron Optical Simulator	23
Fuzzy Adaptive Command-Filter Control of Incommensurate Fractional-Order Nonlinear Systems	23
Intelligent Path-Selection-Aided Decoding of Polar Codes	23
Weighted Color Image Encryption Algorithm Based on RNA Extended Dynamic Coding and Quantum Chaotic System	23
Quasi-Optimal Path Convergence-Aided Automorphism Ensemble Decoding of Reed–Muller Codes	23
Thermoelectric Enhancement of Series-Connected Cross-Conjugated Molecular Junctions	23
Optimizing Contact Network Topological Parameters of Urban Populations Using the Genetic Algorithm	23
Why Uncertainty Is Essential for Consciousness: Local Prospect Theory vs. Predictive Processing	23
GFI-Net: Global Feature Interaction Network for Monocular Depth Estimation	23
Entropy Production and Filling Time in Hydrogen Refueling Stations: An Economic Assessment	23
Conditional Entropic Approach to Nonequilibrium Complex Systems with Weak Fluctuation Correlation	23
Information Processing Using Networks of Chemical Oscillators	23
Pedaling Asymmetry Reflected by Bilateral EMG Complexity in Chronic Stroke	23
Endoreversible Stirling Cycles: Plasma Engines at Maximal Power	23
A Modified Shielding and Rapid Transition DDES Model for Separated Flows	23
Multi-Criteria Analysis of Startup Investment Alternatives Using the Hierarchy Method	23
A Contemporary View on Carnot’s Réflexions	23
Learning PDE to Model Self-Organization of Matter	23
Graph Partitions in Chemistry	22
Multi-Representation Domain Adaptation Network with Duplex Adversarial Learning for Hot-Rolling Mill Fault Diagnosis	22
Topic: “Color Image Processing: Models and Methods (CIP: MM)”	22
Scale Enhancement Pyramid Network for Small Object Detection from UAV Images	22
Simplicial Persistence of Financial Markets: Filtering, Generative Processes and Structural Risk	22
Research on Risk Contagion in ESG Industries: An Information Entropy-Based Network Approach	22
On a Model of Rumors Spreading Through Social Media	22
Uncertainty Management in Assessment of FMEA Expert Based on Negation Information and Belief Entropy	21
The MadQCI Cloud Scenario: Quantum as a Service	21
Measurement-Device-Independent Quantum Key Distribution Based on Decoherence-Free Subspaces with Logical Bell State Analyzer	21
Synergetic Theory of Information Entropy Based on Failure Approach Index for Stability Analysis of Surrounding Rock System	21
Adiabatic Amplification of the Harmonic Oscillator Energy When the Frequency Passes through Zero	21
Non-Reconciled Physical-Layer Keys-Assisted Secure Communication Scheme Based on Channel Correlation	21
Refraction of the Two-Photon Multimode Field via a Three-Level Atom	21
Revocable Signature Scheme with Implicit and Explicit Certificates	21
Bridging Intuition and Data: A Unified Bayesian Framework for Optimizing Unmanned Aerial Vehicle Swarm Performance	21
Sensor Fusion for Target Detection Using LLM-Based Transfer Learning Approach	21
Work and Thermal Fluctuations in Crystal Indentation under Deterministic and Stochastic Thermostats: The Role of System–Bath Coupling	21
Hyperbolic Diffusion Functionals on a Ring with Finite Velocity	21
An Enhanced Belief Propagation Flipping Decoder for Polar Codes with Stepping Strategy	21
Enhancing Predictability Assessment: An Overview and Analysis of Predictability Measures for Time Series and Network Links	21
Interpretation of Second Law of Thermodynamics in Extended Procedures for the Exploitation of the Entropy Inequality: Korteweg Fluids and Strain-Gradient Elasticity as Examples	21
Verification of Information Thermodynamics in a Trapped Ion System	21
An Efficient Retinal Fluid Segmentation Network Based on Large Receptive Field Context Capture for Optical Coherence Tomography Images	21
A Quantile General Index Derived from the Maximum Entropy Principle	21
Quantum Elastica	21
The Spatiotemporal Dynamics of Insect Predator–Prey System Incorporating Refuge Effect	21
Complex Time Approach to the Hamiltonian and the Entropy Production of the Damped Harmonic Oscillator	20
(Re)Construction of Quantum Space-Time: Transcribing Hilbert into Configuration Space	20
Continuous-Time Quantum Walk in Glued Trees: Localized State-Mediated Almost Perfect Quantum-State Transfer	20
Spin Entropy	20
The Relationship Between Astronomical and Developmental Times Emerging in Modeling the Evolution of Agents	20
On the Security of Offloading Post-Processing for Quantum Key Distribution	20
Entropy of the Quantum–Classical Interface: A Potential Metric for Security	20
Memory-Driven Dynamics: A Fractional Fisher Information Approach to Economic Interdependencies	20
Characterizing Pairwise U-Turn Behavior in Fish: A Data-Driven Analysis	20
Minimum Information Variability in Linear Langevin Systems via Model Predictive Control	20
Meshed Context-Aware Beam Search for Image Captioning	20
Sensitivity Analysis of Excited-State Population in Plasma Based on Relative Entropy	20
Quantum Phase Transition in the Coupled-Top Model: From Z2 to U(1) Symmetry Breaking	20
Dataset-Learning Duality and Emergent Criticality	20
DRL-Based Scheduling for AoI Minimization in CR Networks with Perfect Sensing	20
Overcoming Intensity Limits for Long-Distance Quantum Key Distribution	20
Hiding Information in Digital Images Using Ant Algorithms	20
Variational Bayesian Approximation (VBA): Implementation and Comparison of Different Optimization Algorithms	20
Statistical Divergence and Paths Thereof to Socioeconomic Inequality and to Renewal Processes	20
Study on Heat Transfer Characteristics of Graphene Nanofluids in Mini-Channels of Thermal Integrated Building	20
A Rational Risk Policy? Why Path Dependence Matters	20
Analytic Solutions and Entropy Production of the Double-Diffusive Equation System	20
Entropy Maximization, Time Emergence, and Phase Transition	20
Mathematical Models of Death Signaling Networks	19
A Multimodal Semantic-Enhanced Attention Network for Fake News Detection	19
Quantum Entropies and Decoherence for the Multiparticle Quantum Arnol’d Cat	19
Continuous-Variable Quantum Secret Sharing Through Microwave-Enabled Turbulent Channels with Measurement-Device-Independent Scheme	19
Dynamics of a Quantum Common-Pool Resource Game with Homogeneous Players’ Expectations	19
Multiscale Ordinal-Pattern Dynamics and Temporal Symmetries in a Photonic Neuron with Single and Dual Delayed Feedback	19
Topological Data Analysis in Cardiovascular Signals: An Overview	19
Entropy of Volatility Changes: Novel Method for Assessment of Regularity in Volatility Time Series	19
Linking QKD Testbeds across Europe	19
The Absence of a Weak-Tie Effect When Predicting Large-Weight Links in Complex Networks	19
Deep Reinforcement Meta-Learning and Self-Organization in Complex Systems: Applications to Traffic Signal Control	19
Analysis of Opinion Evolution Based on Hegselmann–Krause Model with Historical Opinion	19
Strategic Risk Based Forecasting of Brent Crude Oil Prices: A Comparative Analysis of Econometric and Machine Learning Models	19
Threshold Cascade Dynamics in Coevolving Networks	19
Variable-to-Variable Huffman Coding: Optimal and Greedy Approaches	19
Multi-UAV Cooperative Trajectory Planning Based on the Modified Cheetah Optimization Algorithm	19
Mining Suicidal Ideation in Chinese Social Media: A Dual-Channel Deep Learning Model with Information Gain Optimization	19