Corpus ID: 61153588

Beyond the Chinese Restaurant and Pitman-Yor processes: Statistical Models with Double Power-law Behavior

@inproceedings{Ayed2019BeyondTC,
  title={Beyond the Chinese Restaurant and Pitman-Yor processes: Statistical Models with Double Power-law Behavior},
  author={Fadhel Ayed and Juho Lee and F. Caron},
  booktitle={ICML},
  year={2019}
}
  • Fadhel Ayed, Juho Lee, F. Caron
  • Published in ICML 2019
  • Computer Science, Mathematics
  • Bayesian nonparametric approaches, in particular the Pitman-Yor process and the associated two-parameter Chinese Restaurant process, have been successfully used in applications where the data exhibit a power-law behavior. Examples include natural language processing, natural images or networks. There is also growing empirical evidence that some datasets exhibit a two-regime power-law behavior: one regime for small frequencies, and a second regime, with a different exponent, for high frequencies… CONTINUE READING
    6 Citations

    References

    SHOWING 1-10 OF 50 REFERENCES
    Indian Buffet Processes with Power-law Behavior
    • 92
    • PDF
    Topic models with power-law using Pitman-Yor process
    • 65
    • PDF
    Aggregate Characterization of User Behavior in Twitter and Analysis of the Retweet Graph
    • 73
    • PDF
    Mobile call graphs: beyond power-law and lognormal distributions
    • 194
    • PDF
    Finite-Dimensional BFRY Priors and Variational Bayesian Inference for Power Law Models
    • 6
    • PDF
    A Hierarchical Bayesian Language Model Based On Pitman-Yor Processes
    • 525
    • PDF
    Beyond the Zipf-Mandelbrot law in quantitative linguistics
    • 200
    • PDF
    Power-Law Distributions in Empirical Data
    • 7,058
    • PDF
    Edge Exchangeable Models for Interaction Networks
    • H. Crane, W. Dempsey
    • Mathematics, Medicine
    • Journal of the American Statistical Association
    • 2018
    • 38