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ONLINE LEARNING FOR LATENT YULE-SIMON PROCESSES

  • Stony Brook University

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

Yule-Simon processes are one of the most commonly occurring processes in Nature. These processes generate power laws using a preferential attachment mechanism which can describe a variety of data distributions such as word frequencies, scientific citations, journal publications, income, node connections in complex networks, biological genera, and bosons in quantum states. Much of the work in this area has focused on modeling the properties of observable quantities such as these. In this work we focus on learning the properties of unobservable Yule-Simon processes which control the dynamics of sequential sensor measurements. This is motivated by the fact that Yule-Simon processes have a varying memory length which offer a more general framework for data modeling than hidden Markov models. In this paper we present an approximate online learning procedure based on multiple hypothesis pruning which is shown to reach 0.5dB of the posterior Cramer-Rao lower bound.

Original languageEnglish
Title of host publication2022 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2022 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5508-5512
Number of pages5
ISBN (Electronic)9781665405409
DOIs
StatePublished - 2022
Event2022 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2022 - Hybrid, Singapore
Duration: May 22 2022May 27 2022

Publication series

NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume2022-May
ISSN (Print)1520-6149

Conference

Conference2022 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2022
Country/TerritorySingapore
CityHybrid
Period05/22/2205/27/22

Keywords

  • Bayesian filtering
  • power law
  • regime switching
  • state estimation
  • time series

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