mlsanityData to 14 Oct 2026

Robust Super-Level Set Estimation using Gaussian Processes

arXiv 1811.09977 ↗First posted 25 Nov 2018stat.ML cs.LGcited by 15

Not on the map. Why?

Abstract (arXiv)

This paper focuses on the problem of determining as large a region as possible where a function exceeds a given threshold with high probability. We assume that we only have access to a noise-corrupted version of the function and that function evaluations are costly. To select the next query point, we propose maximizing the expected volume of the domain identified as above the threshold as predicted by a Gaussian process, robustified by a variance term. We also give asymptotic guarantees on the exploration effect of the algorithm, regardless of the prior misspecification. We show by various numerical examples that our approach also outperforms existing techniques in the literature in practice.

Key facts. Cited by 15 papers in the map (data through 14 Oct 2026). First posted on arXiv 25 Nov 2018.

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2021: 3; 2022: 2; 2023: 2; 2024: 4; 2025: 2; 2026: 2.

15 papers.

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  1. 2021Nearly Optimal Algorithms for Level Set Estimationcited by 17
  2. 2021Active learning for distributionally robust level-set estimationcited by 10
  3. 2022Look-Ahead Acquisition Functions for Bernoulli Level Set Estimationcited by 6
  4. 2022Bayesian Optimization for Distributionally Robust Chance-constrained Problemcited by 5
  5. 2023Adaptive Defective Area Identification in Material Surface Using Active Transfer Learning-based Level Set Estimationcited by 4
  6. 2024Active Level Set Estimation for Continuous Search Space with Theoretical Guaranteecited by 3
  7. 2024Active Learning for Level Set Estimation Using Randomized Straddle Algorithmscited by 3
  8. 2021Optimal subgroup selectioncited by 2
  9. 2024Practical Bayesian Algorithm Execution via Posterior Samplingcited by 2
  10. 2023Efficient Determination of Safety Requirements for Perception Systemscited by 1
  11. 2024Robust Transfer Learning for Active Level Set Estimation with Locally Adaptive Gaussian Process Priorcited by 1
  12. 2025Multi-Metric Adaptive Experimental Design Under a Fixed Budget with Validationcited by 1
3 more
  1. 2026High-dimensional Level Set Estimation with Trust Regions and Double Acquisition Functionscited by 1
  2. 2025An (ε,δ)-accurate level set estimation with a stopping criterioncited by 0
  3. 2026Online Adaptive Kernel Mixing for Gaussian Process Decision Makingcited by 0