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@inproceedings{langley00,
author = {P. Langley},
title = {Crafting Papers on Machine Learning},
year = {2000},
pages = {1207--1216},
editor = {Pat Langley},
booktitle = {Proceedings of the 17th International Conference
on Machine Learning (ICML 2000)},
address = {Stanford, CA},
publisher = {Morgan Kaufmann}
}
@InProceedings{pmlr-v134-agrawal21a,
title = {Regret Minimization in Heavy-Tailed Bandits},
author = {Agrawal, Shubhada and Juneja, Sandeep K. and Koolen, Wouter M.},
booktitle = {Proceedings of Thirty Fourth Conference on Learning Theory},
pages = {26--62},
year = {2021},
volume = {134},
series = {Proceedings of Machine Learning Research},
month = {15--19 Aug},
publisher = {PMLR}
}
@article{fan2025fragility,
title={The fragility of optimized bandit algorithms},
author={Fan, Lin and Glynn, Peter W},
journal={Operations Research},
volume={73},
number={6},
pages={3173--3198},
year={2025},
publisher={INFORMS}
}
@article{panda2026regret,
title={Regret Tail Characterization of Optimal Bandit Algorithms with Generic Rewards},
author={Panda, Subhodip and Agrawal, Shubhada},
journal={arXiv preprint arXiv:2604.14876},
year={2026}
}
@article{robbins1974expected,
title={The expected sample size of some tests of power one},
author={Robbins, Herbert and Siegmund, David},
journal={The Annals of Statistics},
volume={2},
number={3},
pages={415--436},
year={1974},
publisher={Institute of Mathematical Statistics}
}
@article{honda2015non,
title={Non-asymptotic analysis of a new bandit algorithm for semi-bounded rewards.},
author={Honda, Junya and Takemura, Akimichi},
journal={J. Mach. Learn. Res.},
volume={16},
pages={3721--3756},
year={2015}
}
@article{agrawal2021optimal,
title={Optimal best-arm identification methods for tail-risk measures},
author={Agrawal, Shubhada and Koolen, Wouter M and Juneja, Sandeep},
journal={Advances in Neural Information Processing Systems},
volume={34},
pages={25578--25590},
year={2021}
}
@inproceedings{agrawal2020optimal,
title={Optimal $\delta$-Correct Best-Arm Selection for Heavy-Tailed Distributions},
author={Agrawal, Shubhada and Juneja, Sandeep and Glynn, Peter},
booktitle={Algorithmic Learning Theory},
pages={61--110},
year={2020},
organization={PMLR}
}
@article{burnetas1996optimal,
title={Optimal adaptive policies for sequential allocation problems},
author={Burnetas, Apostolos N and Katehakis, Michael N},
journal={Advances in Applied Mathematics},
volume={17},
number={2},
pages={122--142},
year={1996},
publisher={Elsevier}
}
@article{lai1985asymptotically,
title={Asymptotically efficient adaptive allocation rules},
author={Lai, Tze Leung and Robbins, Herbert},
journal={Advances in Applied Mathematics},
volume={6},
number={1},
pages={4--22},
year={1985},
publisher={Academic Press}
}
@TechReport{mitchell80,
author = "T. M. Mitchell",
title = "The Need for Biases in Learning Generalizations",
institution = "Computer Science Department, Rutgers University",
year = "1980",
address = "New Brunswick, MA",
}
@phdthesis{kearns89,
author = {M. J. Kearns},
title = {Computational Complexity of Machine Learning},
school = {Department of Computer Science, Harvard University},
year = {1989}
}
@Book{MachineLearningI,
editor = "R. S. Michalski and J. G. Carbonell and T.
M. Mitchell",
title = "Machine Learning: An Artificial Intelligence
Approach, Vol. I",
publisher = "Tioga",
year = "1983",
address = "Palo Alto, CA"
}
@Book{DudaHart2nd,
author = "R. O. Duda and P. E. Hart and D. G. Stork",
title = "Pattern Classification",
publisher = "John Wiley and Sons",
edition = "2nd",
year = "2000"
}
@misc{anonymous,
title= {Suppressed for Anonymity},
author= {Author, N. N.},
year= {2021}
}
@InCollection{Newell81,
author = "A. Newell and P. S. Rosenbloom",
title = "Mechanisms of Skill Acquisition and the Law of
Practice",
booktitle = "Cognitive Skills and Their Acquisition",
pages = "1--51",
publisher = "Lawrence Erlbaum Associates, Inc.",
year = "1981",
editor = "J. R. Anderson",
chapter = "1",
address = "Hillsdale, NJ"
}
@Article{Samuel59,
author = "A. L. Samuel",
title = "Some Studies in Machine Learning Using the Game of
Checkers",
journal = "IBM Journal of Research and Development",
year = "1959",
volume = "3",
number = "3",
pages = "211--229"
}
@article{agrawal2025stopping,
title={On Stopping Times of Power-one Sequential Tests: Tight Lower and Upper Bounds},
author={Agrawal, Shubhada and Ramdas, Aaditya},
journal={arXiv preprint arXiv:2504.19952},
year={2025}
}
@incollection{wald1992sequential,
title={Sequential tests of statistical hypotheses},
author={Wald, Abraham},
booktitle={Breakthroughs in statistics: Foundations and basic theory},
pages={256--298},
year={1992},
publisher={Springer}
}
@book{wald2004sequential,
title={Sequential analysis},
author={Wald, Abraham},
year={2004},
publisher={Courier Corporation}
}
@article{wald1948optimum,
title={Optimum character of the sequential probability ratio test},
author={Wald, Abraham and Wolfowitz, Jacob},
journal={The Annals of Mathematical Statistics},
pages={326--339},
year={1948},
publisher={JSTOR}
}
@article{darling1967iterated,
title={Iterated logarithm inequalities},
author={Darling, Donald A and Robbins, Herbert},
journal={Proceedings of the National Academy of Sciences},
volume={57},
number={5},
pages={1188--1192},
year={1967}
}
@book{siegmund2013sequential,
title={Sequential Analysis: Tests and Confidence Intervals},
author={Siegmund, David},
year={2013},
publisher={Springer Science \& Business Media}
}
@article{chernoff1992sequential,
title={Sequential Design of Experiments},
author={Chernoff, Herman},
journal={Ann. Math. Statist.},
volume={30},
number={4},
pages={755--770},
year={1959}
}
@inproceedings{honda2010asymptotically,
title={An Asymptotically Optimal Bandit Algorithm for Bounded Support Models.},
author={Honda, Junya and Takemura, Akimichi},
booktitle={COLT},
pages={67--79},
year={2010}
}
@book{gut2009stopped,
title={Stopped random walks},
author={Gut, Allan},
year={2009},
publisher={Springer}
}
@article{mukhopadhyay2020asymptotic,
title={Asymptotic Normality of Sequential Stopping Times with Applications: Confidence Intervals for an Exponential Mean},
author={Mukhopadhyay, Nitis},
journal={Calcutta Statistical Association Bulletin},
volume={72},
number={1},
pages={17--34},
year={2020},
publisher={SAGE Publications Sage India: New Delhi, India}
}
@book{asmussen2003applied,
title={Applied probability and queues},
author={Asmussen, S{\o}ren},
year={2003},
publisher={Springer}
}
@phdthesis{agrawal2022bandits,
url = {http://hdl.handle.net/10603/478863},
title = {Bandits with Heavy Tails: Algorithms Analysis and Optimality},
author = {Shubhada Agrawal},
copyright = {university},
year = {2023},
school = {Tata Institute of Fundamental Research},
language = {English}}
@article{jourdan2022top,
title={Top two algorithms revisited},
author={Jourdan, Marc and Degenne, R{\'e}my and Baudry, Dorian and de Heide, Rianne and Kaufmann, Emilie},
journal={Advances in Neural Information Processing Systems},
volume={35},
pages={26791--26803},
year={2022}
}
@inproceedings{anscombe1952large,
title={Large-sample theory of sequential estimation},
author={Anscombe, Francis J},
booktitle={Mathematical Proceedings of the Cambridge Philosophical Society},
volume={48},
number={4},
pages={600--607},
year={1952},
organization={Cambridge University Press}
}
@article{deep2024asymptotically,
title={Asymptotically optimal and computationally efficient average treatment effect estimation in A/B testing},
author={Deep, Vikas and Bassamboo, Achal and Juneja, Sandeep Kumar},
jorunal={Forty-first International Conference on Machine Learning},
year={2024}
}
@article{deep2025asymptotic,
title={Asymptotic optimality theory of confidence intervals of the mean},
author={Deep, Vikas and Bassamboo, Achal and Juneja, Sandeep},
journal={arXiv preprint arXiv:2501.19126},
year={2025}
}
@article{wang2026almost,
title={Almost sure null bankruptcy of testing-by-betting strategies},
author={Wang, Hongjian and Agrawal, Shubhada and Ramdas, Aaditya},
journal={arXiv preprint arXiv:2602.08888},
year={2026}
}
@book{billingsley2017probability,
title={Probability and measure},
author={Billingsley, Patrick},
year={2017},
publisher={John Wiley \& Sons}
}