The DOI matches its Crossref record; 77 of the 79 references it cites were found in a registry or an index.
On the Jensen–Shannon Symmetrization of Distances Relying on Abstract Means
Open accessAbstract
The Jensen–Shannon divergence is a renowned bounded symmetrization of the unbounded Kullback–Leibler divergence which measures the total Kullback–Leibler divergence to the average mixture distribution. However, the Jensen–Shannon divergence between Gaussian distributions is not available in closed form. To bypass this problem, we present a generalization of the Jensen–Shannon (JS) divergence using abstract means which yields closed-form expressions when the mean is chosen according to the parametric family of distributions. More generally, we define the JS-symmetrizations of any distance using parameter mixtures derived from abstract means. In particular, we first show that the geometric mean is well-suited for exponential families, and report two closed-form formula for (i) the geometric Jensen–Shannon divergence between probability densities of the same exponential family; and (ii) the geometric JS-symmetrization of the reverse Kullback–Leibler divergence between probability densities of the same exponential family. As a second illustrating example, we show that the harmonic mean is well-suited for the scale Cauchy distributions, and report a closed-form formula for the harmonic Jensen–Shannon divergence between scale Cauchy distributions. Applications to clustering with respect to these novel Jensen–Shannon divergences are touched upon.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The source backs part of the claim, not all of it — or backs it for a different population, condition or comparison.
In the citing paper
“The PoE and MoE can be subsumed under the concept of abstract means (Nielsen, 2019).”
From Generalized Multimodal ELBO (2021) · cites this paper as Nielsen, 2019
Experimental — accuracy not yet measuredThe cited source says what the claim attributes to it.
In the citing paper
“This insight has practical implications, because the choice of mean function directly influences the properties of a model (Nielsen, 2019).”
From Generalized Multimodal ELBO (2021) · cites this paper as Nielsen, 2019
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Labaca-Castro, R. (2023) · Springer eBooks · doi:10.1007/978-3-658-40442-0_9 · Cited by 21,119
McLachlan, G., & Peel, D. (2000) · Wiley Series in Probability and Statistics · doi:10.1002/0471721182 · Cited by 10,991
(2007) · doi:10.5555/1283383.1283494 · Cited by 7,364
Divergence measures based on the Shannon entropy
Lin, J.-H. (1991) · IEEE Transactions on Information Theory · doi:10.1109/18.61115 · Cited by 5,877
On Measures of Entropy and Information
Rényi, A. (1961) · Project Euclid (Cornell University) · Cited by 4,031
Hawkes, J., & Billingsley, P. (1987) · Journal of the Royal Statistical Society Series A (General) · doi:10.2307/2982048 · Cited by 1,765
The Minimum Description Length Principle
Grünwald, P. D. (2007) · doi:10.7551/mitpress/4643.001.0001 · Cited by 1,644
Clustering with Bregman Divergences
Banerjee, A., Merugu, S., Dhillon, I. S., & Ghosh, J. (2004) · SIAM International Conference on Data Mining · doi:10.1137/1.9781611972740.22 · Cited by 1,507
Information-type measures of difference of probability distributions and indirect observation
Csiszár, I. (1967) · Studia Scientiarum Mathematicarum Hungarica · Cited by 1,349
Information Geometry and Its Applications
Амари, Ш.-И. (2016) · Applied mathematical sciences · doi:10.1007/978-4-431-55978-8 · Cited by 1,166
Flagged first, then by citations
2 of the 79 references couldn’t be matched to a known paper.
Research works printed but not linked: 3
- Kafka, 1991, On powers of f-divergences defining a distance, Stud. Sci. Math. Hung., 26, 415
- Watanabe, 2004, Kullback information of normal mixture is not an analytic function, IEICE Tech. Rep. Neurocomput., 104, 41
- Tzagkarakis, G., and Tsakalides, P. (2004, January 21–23). A statistical approach to texture image retrieval via alpha-stable modeling of wavelet decompositions. Proceedings of the 5th International Workshop on Image Analysis for Multimedia Interactive Services, Instituto Superior Técnico, Lisboa, Portugal.
Cited by
Sorted by citations
Items 101–200 of 257
Kimura, M., & Hino, H. (2021) · Entropy · doi:10.3390/e23050528 · Cited by 5
Two Types of Geometric Jensen–Shannon Divergences
Nielsen, F. (2025) · Entropy · doi:10.3390/e27090947 · Cited by 4
Self-citationThrough-Wall Imaging Based On WiFi Channel State Information
Strohmayer, J., Sterzinger, R., Stippel, C., & Kampel, M. (2024) · Proceedings - International Conference on Image Processing · doi:10.1109/icip51287.2024.10647775 · Cited by 4
Li, W., Xu, P. F., Wang, X., He, J., & Li, H. (2025) · Probabilistic Engineering Mechanics · doi:10.1016/j.probengmech.2025.103753 · Cited by 4
Comparison of structural connectomes for modeling deep brain stimulation pathway activation
Mehta, K., Noecker, A. M., & McIntyre, C. C. (2025) · NeuroImage · doi:10.1016/j.neuroimage.2025.121211 · Cited by 4
Iqbal, K., Rafique, A., Qaisar, S., & Tabassum, M. (2025) · Discover Networks · doi:10.1007/s44354-025-00007-w · Cited by 4
Zakeri, S., & Konstantas, D. (2022) · Information · doi:10.3390/info13110512 · Cited by 4
Kamarthi, H., Kong, L., Rodríguez, A., Zhang, C., & Prakash, B. A. (2023) · ACM SIGKDD Conference on Knowledge Discovery and Data Mining (KDD) · doi:10.1145/3580305.3599547 · Cited by 4
Berezinskii-Kosterlitz-Thouless transition from neural network flows
Ng, K.-K., Huang, C.-Y., & Lin, F.-L. (2023) · Physical review. E · doi:10.1103/physreve.108.034104 · Cited by 4
Acun, C., & Nasraoui, O. (2023) · IEEE/WIC/ACM International Conference on Web Intelligence and Intelligent Agent Technology (WI-IAT) · doi:10.1109/wi-iat59888.2023.00036 · Cited by 4
Zhang, X., Kang, Y., Fan, L., Chen, K., & Yang, Q. (2024) · ACM Transactions on Intelligent Systems and Technology · doi:10.1145/3652612 · Cited by 8
False Data Detection in Power System Under State Variables' Cyber Attacks Using Information Theory
Parizad, A., & Hatziadoniu, C. J. (2021) · IEEE Power and Energy Conference at Illinois (PECI) · doi:10.1109/peci51586.2021.9435204 · Cited by 4
A non-parametric evaluation method in staircase test for improving fatigue limit assessment
Shi, L., Khalij, L., Bai, H., & Gautrelet, C. (2022) · Probabilistic Engineering Mechanics · doi:10.1016/j.probengmech.2022.103373 · Cited by 4
Revisiting Hate Speech Benchmarks: From Data Curation to System Deployment
Kulkarni, A., Masud, S., Goyal, V., & Chakraborty, T. (2023) · ACM SIGKDD Conference on Knowledge Discovery and Data Mining (KDD) · doi:10.1145/3580305.3599896 · Cited by 5
Compositional Safe Approximation of Response Time Distribution of Complex Workflows
Carnevali, L., Paolieri, M., Reali, R., & Vicario, E. (2021) · Lecture notes in computer science · doi:10.1007/978-3-030-85172-9_5 · Cited by 4
q-Paths: Generalizing the Geometric Annealing Path using Power MeansPreprint
Masrani, V., Brekelmans, R., Bui, T. D., Nielsen, F., Galstyan, A., Steeg, G. V., & Wood, F. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2107.00745 · Cited by 4
Self-citationCIM-PPO:Proximal Policy Optimization with Liu-Correntropy Induced MetricPreprint
Guo, Y., Long, H., Duan, X., Feng, K., Li, M., & Ma, X. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2110.10522 · Cited by 6
Nartallo-Kaluarachchi, R., Bonetti, L., Fernández‐Rubio, G., Vuust, P., Deco, G., Kringelbach, M. L., Lambiotte, R., & Goriely, A. (2024) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/2024.05.02.592195 · Cited by 4
Zhao, X., Lan, Y., & Mu, X.-L. (2024) · Electrical Engineering · doi:10.1007/s00202-024-02756-3 · Cited by 3
Augmenting Chemical Databases for Atomistic Machine Learning by Sampling Conformational Space
Vazquez-Salazar, L. I., & Meuwly, M. (2025) · Journal of Chemical Information and Modeling · doi:10.1021/acs.jcim.5c00752 · Cited by 3
Modeling Uncertainty of GEDI Clear-Sky Terrain Height Retrievals Using a Mixture Density Network
Sipps, J., & Magruder, L. A. (2023) · Remote Sensing · doi:10.3390/rs15235594 · Cited by 3
Zhao, Y., Bollegala, D., Hirose, S., Jin, Y., & Kozu, T. (2024) · Journal of Biomedical Informatics · doi:10.1016/j.jbi.2024.104725 · Cited by 3
Theodorakos, K., Agudelo, O. M., Becker, T., Vanthournout, K., D’hulst, R., & Moor, B. D. (2025) · Sustainable Energy Grids and Networks · doi:10.1016/j.segan.2025.101622 · Cited by 3
Pollen image manipulation and projection using latent space
Mills, B., Zervas, M. N., & Grant‐Jacob, J. A. (2025) · Frontiers in Plant Science · doi:10.3389/fpls.2025.1539128 · Cited by 3
Wang, H., Liu, H., Chen, F., Li, H., & Xue, X. (2025) · Metallurgical Research & Technology · doi:10.1051/metal/2025026 · Cited by 3
Posterior Averaging Information Criterion
Zhou, S. (2023) · Entropy · doi:10.3390/e25030468 · Cited by 3
Statistical complexity and the road to equilibrium in many-body chaotic quantum systems
Muñoz-Arias, M. H. (2022) · Physical review. E · doi:10.1103/physreve.106.044103 · Cited by 4
Aggregation of Leslie matrix models with application to ten diverse animal species
Hinrichsen, R. A. (2023) · Population Ecology · doi:10.1002/1438-390x.12149 · Cited by 3
Yadav, V., Ghosh, S., & Miller, C. E. (2023) · Geoscientific model development · doi:10.5194/gmd-16-5219-2023 · Cited by 3
Synthetic Time Series Generation for Decision Intelligence Using Large Language Models
Grigoraș, A., & Leon, F. (2024) · Mathematics · doi:10.3390/math12162494 · Cited by 3
Communication-Efficient Soft Actor–Critic Policy Collaboration via Regulated Segment Mixture
Yu, X., Li, R., Liang, C., & Zhao, Z. (2024) · IEEE Internet of Things Journal · doi:10.1109/jiot.2024.3481257 · Cited by 3
Temporal Comparisons Involving Paleoclimate Data Assimilation: Challenges and Remedies
Emile‐Geay, J., Hakim, G. J., Viens, F. G., Zhu, F., & Amrhein, D. E. (2024) · Journal of Climate · doi:10.1175/jcli-d-24-0101.1 · Cited by 6
Hu, Y., Zhu, Y., Tang, G., Shan, M., Tan, P., Yi, Y., Zhang, X., Liu, M., Li, X., Wu, L., et al. (2025) · Advanced Science · doi:10.1002/advs.202410745 · Cited by 3
Baleghi, Y., & Rousseau, D. (2021) · Image and Vision Computing · doi:10.1016/j.imavis.2021.104312 · Cited by 3
ProcessM: Intelligent Process Mining software
Pawlak, T. P., & Potoniec, J. (2025) · SoftwareX · doi:10.1016/j.softx.2025.102079 · Cited by 3
Importance-Guided Interpretability and Pruning for Video Transformers in Driver Action Recognition
Panadero, R., Schörkhuber, D., & Gelautz, M. (2025) · IEEE Winter Conference on Applications of Computer Vision · doi:10.1109/wacv61041.2025.00517 · Cited by 2
Zumbo, B. D. (2025) · Educational and Psychological Measurement · doi:10.1177/00131644251393483 · Cited by 2
Gadsby, S., Rauch, C., & Wattis, J. (2026) · Mathematical Biosciences · doi:10.1016/j.mbs.2025.109606 · Cited by 2
On Representations of Divergence Measures and Related Quantities in Exponential Families
Bedbur, S., & Kamps, U. (2021) · Entropy · doi:10.3390/e23060726 · Cited by 2
Robustness of Rock Damage Regions Induced by Crack Nucleation
Liu, Y., Wang, C., Li, C., Bai, Z., Huang, L., Peng, K., Xue, X., & Cao, P. (2023) · International Journal of Geomechanics · doi:10.1061/ijgnai.gmeng-8331 · Cited by 2
Variational Counterfactual Prediction Under Runtime Domain Corruption
Wen, H., Chen, T., Chai, L. K., Sadiq, S. W., Gao, J., & Yin, H. (2023) · IEEE Transactions on Knowledge and Data Engineering · doi:10.1109/tkde.2023.3321893 · Cited by 7
Liu, Z., Zhang, H., Wei, W., Cai, X., Song, Y., & Zhang, X. (2024) · Quarterly Journal of the Royal Meteorological Society · doi:10.1002/qj.4705 · Cited by 2
Linets, Y. P., Voronkin, R. A., Васильевич, С. Г., & Govorova, S. V. (2024) · Advanced Engineering Research · doi:10.23947/2687-1653-2024-24-4-424-432 · Cited by 2
The value of information in multi-scale feedback systems
Felice, L. J. D., Diaconescu, A., Zahadat, P., & Mellodge, P. (2025) · Frontiers in Complex Systems · doi:10.3389/fcpxs.2025.1612142 · Cited by 2
Distribution Analysis for Diagnostics and Therapeutics of Motor Actions
Srivatsa, A. V., Aghamohammadi, N. R., Ryali, P., Scarpellini, A., Kim, J. J. H., Aggarwal, A., Wright, Z. A., Huang, F. C., Reinkensmeyer, D. J., Esmailbeigi, H., et al. (2025) · IEEE Journal of Biomedical and Health Informatics · doi:10.1109/jbhi.2025.3636009 · Cited by 2
Banach, M. (2022) · Symmetry · doi:10.3390/sym14091876 · Cited by 2
On the Symmetry Importance in a Relative Entropy Analysis for Some Engineering Problems
Kamiński, M. (2022) · Symmetry · doi:10.3390/sym14091945 · Cited by 2
Ollivier-Ricci Curvature for Head Pose Estimation from a Single Image
Abate, A. F., Cascone, L., Distasi, R., & Nappi, M. (2022) · IEEE International Joint Conference on Biometrics (IJCB) · doi:10.1109/ijcb54206.2022.10007989 · Cited by 2
Zhang, J. (2023) · Entropy · doi:10.3390/e25101445 · Cited by 2
Preference-conditioned Pixel-based AI Agent For Game Testing
Abdelfattah, S. M., Brown, A., & Zhang, P. (2023) · IEEE Conference on Games (CoG) · doi:10.1109/cog57401.2023.10333200 · Cited by 2
Chen, H., Wu, S., Wang, Y., Chang, Y., Li, M., Xie, Z., & Wang, S. (2024) · Healthcare · doi:10.3390/healthcare12191910 · Cited by 2
Information-Geometric Set Embeddings (IGSE): From Sets to Probability DistributionsPreprint
Sun, K., & Nielsen, F. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1911.12463 · Cited by 2
Self-citationLikelihood Ratio Exponential FamiliesPreprint
Brekelmans, R., Nielsen, F., Makhzani, A., Galstyan, A., & Steeg, G. V. (2020) · arXiv (Cornell University) · doi:10.48550/arxiv.2012.15480 · Cited by 2
Self-citationNew bounds for $k$-means and information $k$-meansPreprint
Appert, G., & Catoni, O. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2101.05728 · Cited by 2
Transport information Bregman divergencesPreprint
Li, W. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2101.01162 · Cited by 2
Nielsen, F. (2024) · Entropy · doi:10.3390/e26121008 · Cited by 1
Self-citationFabian, M., Fischer, K., & Rüpke, J. M. (2025) · Journal of Modelling in Management · doi:10.1108/jm2-03-2024-0073 · Cited by 1
Liu, Z., Zhang, H., Cai, X., & Song, Y. (2025) · Physics of Fluids · doi:10.1063/5.0279166 · Cited by 1
A Complexity-Based Approach to Quantum Observable Equilibration
Alpino, M. G., Debarba, T., Vianna, R. O., & Cesário, A. T. (2025) · Entropy · doi:10.3390/e27080824 · Cited by 1
Sills, E. S., Harrity, C., Chu, H. I., Wang, J.-W., Yang, F., Tan, S. L., & Wood, S. H. (2025) · BioMolecular Concepts · doi:10.1515/bmc-2025-0054 · Cited by 1
ChatGPT as a Subject Matter Expert in the Parameterization of Bayesian Network Classifiers
Krüger, M. J. (2025) · International Conference on Information Fusion (FUSION) · doi:10.23919/fusion65864.2025.11124000 · Cited by 1
Song, L., Luo, L., & Li, J. (2025) · Unconventional Resources · doi:10.1016/j.uncres.2025.100262 · Cited by 1
Le, D. A., Rajasegarar, S., Luo, W., Nguyen, T. T., Vo, N., Nguyen, Q., & Angelova, M. N. (2025) · PLoS ONE · doi:10.1371/journal.pone.0334141 · Cited by 1
A Tool for Synthesizing and Implementing Medium Voltage Load Profiles
Plompen, H., Moura, R. A. A., Mehmood, K. K., van der Molen, A., van der Wielen, P. C. J. M., & Nguyen, P. H. (2025) · Lecture notes in computer science · doi:10.1007/978-3-032-03101-3_3 · Cited by 1
Intraday order transitions across market capitalizations through Markov analysis
Luwang, S. R., Rai, A., Nurujjaman, M., & Petroni, F. (2025) · The European Physical Journal Special Topics · doi:10.1140/epjs/s11734-025-02060-6 · Cited by 1
Le, D., Rajasegarar, S., Luo, W., Nguyen, T. T., & Angelova, M. N. (2025) · Engineering Computations · doi:10.1108/ec-09-2024-0895 · Cited by 3
A distribution-free stochastic physics-guided reliability analysis under polymorphic uncertainty
Lye, A., Ferson, S. A., & Xiao, S. (2026) · Annals of Nuclear Energy · doi:10.1016/j.anucene.2026.112191 · Cited by 1
Super-resolution of medical images with GANs: A survey
Goven, A., & Toptaş, B. (2026) · Advances in Complex Systems · doi:10.1142/s1793962326500182 · Cited by 1
Berkovich, J., David, N. S., & Buehler, M. J. (2026) · Advanced Science · doi:10.1002/advs.202511352 · Cited by 6
Pîrnău, M., Priescu, I., Botezatu, M.-A., Priescu, C. M., & Joița, D. (2026) · Electronics · doi:10.3390/electronics15081724 · Cited by 1
Text-to-3D Generation Using Jensen-Shannon Score Distillation
Do, K., & Hua, B. (2026) · International Conference on 3D Vision (3DV) · doi:10.1109/3dv69130.2026.00132 · Cited by 1
Ma, J. (2026) · Engineering Computations · doi:10.1108/ec-07-2025-0791 · Cited by 1
Deep Clustering using Dirichlet Process Gaussian Mixture
Lim, K. (2021) · International Joint Conference on Neural Networks (IJCNN) · doi:10.1109/ijcnn52387.2021.9533366 · Cited by 1
DrugGen: a database of de novo-generated molecular binders for specified target proteins
Qian, H., Zhou, J., Tu, S., & Xu, L. (2023) · Database · doi:10.1093/database/baad090 · Cited by 1
Bhandari, S., Lencastre, P., & Lind, P. G. (2024) · Genetic and Evolutionary Computation Conference Companion (GECCO Companion) · doi:10.1145/3638530.3664134 · Cited by 1
Leung, R., Lowe, A. M., & Melkumyan, A. (2025) · Modelling—International Open Access Journal of Modelling in Engineering Science · doi:10.3390/modelling6020050 · Cited by 1
Le, D. A., Rajasegarar, S., Luo, W., Nguyen, T. T., & Angelova, M. N. (2025) · Communications in computer and information science · doi:10.1007/978-981-96-6966-0_10 · Cited by 1
Gaussian Process Model Predictive Control Based Cooperative Motion Planning Structure for UAGVS
Sun, P., Que, H., & Zhou, Y. (2020) · International Conference on Control, Automation, Robotics and Vision (ICARCV) · doi:10.1109/icarcv50220.2020.9305472 · Cited by 1
Quasiconvex Jensen Divergences and Quasiconvex Bregman Divergences
Nielsen, F., & Hadjeres, G. (2021) · Springer proceedings in mathematics & statistics · doi:10.1007/978-3-030-77957-3_11 · Cited by 1
Self-citationLi, Y., Fang, Y., Li, W., Jiang, B., Wang, S., & Li, Z. (2023) · Remote Sensing · doi:10.3390/rs15163997 · Cited by 1
CpelTdm.jl: a Julia package for targeted differential DNA methylation analysisPreprint
Abante, J., & Goutsias, J. I. (2020) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/2020.10.17.343020 · Cited by 1
Ubiquitous Dynamical Time Asymmetry in Measurements on Materials and Biological SystemsPreprint
Lapolla, A., Smith, J. C., & Godec, A. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2102.01666 · Cited by 1
On the Kullback-Leibler divergence between discrete normal distributionsPreprint
Nielsen, F. (2021) · arXiv (Cornell University) · doi:10.13140/rg.2.2.27738.06085 · Cited by 1
Self-citationSills, E. S. (2023) · Preprints.org · doi:10.20944/preprints202308.1004.v1 · Cited by 1
Atmadja, H. Y. N., Bustamam, A., & Hermawan, H. (2023) · Research Square · doi:10.21203/rs.3.rs-3432401/v1 · Cited by 1
Parizad, A., & Hatziadoniu, C. J. (2025) · doi:10.1002/9781394334599.ch1 · Cited by 1
A note on the quasiconvex Jensen divergences and the quasiconvex Bregman divergences derived thereofPreprint
Nielsen, F., & Hadjeres, G. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1909.08857
Self-citation(2022) · Geoscientific model development · doi:10.5194/gmd-2022-89-rc1
(2022) · Geoscientific model development · doi:10.5194/gmd-2022-89-rc2
Approximate Bayesian Inference for Educational Attainment Models
Alghamdi, S. A., Dean, N., & Ludger Evers, A. (2022) · Proceedings of the International Conference on Statistics, Theory and Applications (ICSTA ...) · doi:10.11159/icsta22.140
Yadav, V. (2022) · Geoscientific model development · doi:10.5194/gmd-2022-89-ac2
Yadav, V. (2022) · Geoscientific model development · doi:10.5194/gmd-2022-89-ac1
Bespoke Mitigation Framework for False Data Injection Attack-Induced Contingency Events
Chan, S., & Nopphawan, P. (2023) · International Conference on Cyber Management and Engineering (CyMaEn) · doi:10.1109/cymaen57228.2023.10050946
Vettoretti, M., Drecogna, M., Favero, S. D., Facchinetti, A., & Sparacino, G. (2023) · Computer Methods and Programs in Biomedicine · doi:10.1016/j.cmpb.2023.107700 · Cited by 2
Quasi-arithmetic Centers, Quasi-arithmetic Mixtures, and the Jensen-Shannon $$\nabla $$-Divergences
Nielsen, F. (2023) · Lecture notes in computer science · doi:10.1007/978-3-031-38271-0_15
Self-citationdi Chanaz, L. S.-A., Pérez-Bellido, A., & Fuentemilla, L. (2023) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/2023.08.04.551929
Crystal structure search with principal invariants
Lee, I., & Shin, S. (2023) · Computer Physics Communications · doi:10.1016/j.cpc.2023.108889
Quantitative definition of chemical synthetic pathway complexity of organic compounds
Baranwal, T., Huang, H., Avadhani, U., Goyal, A., Samavedam, A., Hu, T., Kale, M., Nepani, T., Srikanth, V., Downing, R. G., et al. (2023) · Journal of Emerging Investigators · doi:10.59720/22-009
PRIME: Posterior Reconstruction of the Input for Model Explanations
Yang, Y., Zhao, Y., & Cheng, Y. (2023) · Pattern Recognition Letters · doi:10.1016/j.patrec.2023.11.009 · Cited by 1
In situ Remnants of Solar Surface Structures from Jensen-Shannon ScalogramPreprint
Huang, Z., Shi, C., Velli, M., Sioulas, N., Panasenco, O., Bowen, T. A., Matteini, L., Xia, M., Shi, X., Huang, S., et al. (2023) · Research Square · doi:10.21203/rs.3.rs-3597425/v1
Metadata
- Authors
- Nielsen, F.
- Affiliations
- Sony Computer Science Laboratories (JP)
- Corresponding author
- Nielsen, Frank
- ORCID
- Nielsen, Frank
- Venue
- Entropy
- Publisher
- MDPI AG
- Published
- 2019-05-11
- Volume
- 21
- Issue
- 5
- Pages
- 485
- ISSN
- 1099-4300 (ISSN-L)
- PMC
- PMC7514974
- OpenAlex
- W3102206498
- Cited by
- 257
- References
- 79
- Citations by year
- 2026: 38 · 2025: 63 · 2024: 40 · 2023: 42 · 2022: 27 · 2021: 30 · 2020: 12 · 2019: 5
- FWCI
- 8.56
- Type
- journal article
- Language
- en
- Open access
- gold
- dx.doi.org
- Licence
- Locations
- Entropy (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Statistical Mechanics and Entropy
- Physical Sciences › Mathematics › Applied Mathematics › Mathematical Inequalities and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Bayesian Methods and Mixture Models
- Keywords
- Jensen-Shannon divergence, geometric mean, harmonic mean, Kullback-Leibler divergence, exponential family, closed-form expressions, clustering
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review