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Generalized probabilistic bisection for stochastic root finding

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Publication:6600075
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DOI10.1145/3355607zbMATH Open1544.65079MaRDI QIDQ6600075

Michael Ludkovski, Sergio Rodriguez

Publication date: 8 September 2024

Published in: ACM Transactions on Modeling and Computer Simulation (Search for Journal in Brave)




zbMATH Keywords

sequential designstochastic root-findingquantile sampling


Mathematics Subject Classification ID

Numerical methods (including Monte Carlo methods) (91G60) Bayesian inference (62F15) Stochastic approximation (62L20) Numerical computation of roots of polynomial equations (65H04)


Cites Work

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  • Quantifying Uncertainties on Excursion Sets Under a Gaussian Random Field Prior
  • Sequential design of computer experiments for the estimation of a probability of failure
  • Sequential analysis. Tests and confidence intervals
  • Bisection Search with Noisy Responses
  • Sequential Design for Optimal Stopping Problems
  • The stochastic root-finding problem
  • Probabilistic Bisection Converges Almost as Quickly as Stochastic Approximation
  • Twenty Questions with Noise: Bayes Optimal Policies for Entropy Loss







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