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We study discrepancy minimization for vectors in $\mathbb{R}^n$ under various settings.
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Juhan Aru, Bhargav Narayanan, Alex Scott, and Ramarathnam Venkatesan, Balancing sums of random vectors , Discrete Anal. (2018), Paper No. 4, 17
2018
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Nikhil Bansal, Daniel Dadush, Shashwat Garg, and Shachar Lovett, The gram-schmidt walk: a cure for the Banaszczyk blues , Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing, STOC 2018, Los Angeles, CA, USA, June 25-29, 2018 (Ilias Diakonikolas, David Kempe, and Monika Henzinger, eds.), ACM, 2018, pp. 587–597
2018
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Daniel Dadush, Aleksandar Nikolov, Kunal Talwar, and Nicole Tomczak-Jaegermann, Balancing vectors in any norm , 2018 IEEE 59th Annual Symposium on Foundations of Computer Science (FOCS), IEEE, 2018, pp. 1–10
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Nikhil Bansal, Daniel Dadush, and Shashwat Garg, An algorithm for Komlós conjecture matching Banaszczyk’s bound , IEEE 57th Annual Symposium on Foundations of Computer Science, FOCS 2016, 9-11 October 2016, Hyatt Regency, New Brunswick, New Jersey, USA (Irit Dinur, ed.), IEEE Computer Society, 2016, pp. 788–799
2016
Cited alongside, same era.
Nikhil Bansal and Shashwat Garg, Algorithmic discrepancy beyond partial coloring , Proceedings of the 49th Annual ACM SIGACT Symposium on Theory of Computing, 2017, pp. 914–926
2017
Cited alongside, same era.
Aleksandar Nikolov, Tighter bounds for the discrepancy of boxes and polytopes , Mathematika 63
2017
Cited alongside, same era.
Thomas Rothvoss, Constructive discrepancy minimization for convex sets , SIAM Journal on Computing 46
2017
Cited alongside, same era.
Nikhil Bansal, Haotian Jiang, Raghu Meka, Sahil Singla, and Makrand Sinha, Forthcoming work
Cited in the paper.
Daniel Dadush, https://homepages.cwi.nl/~dadush/workshop/discrepancy-ip/open-problems.html
Cited in the paper.
2018
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2019
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Raaz Dwivedi, Ohad N Feldheim, Ori Gurel-Gurevich, and Aaditya Ramdas, The power of online thinning in reducing discrepancy , Probability Theory and Related Fields 174
2019
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Nikhil Bansal, Haotian Jiang, Sahil Singla, and Makrand Sinha, Online vector balancing and geometric discrepancy , STOC 2020 (2020)
2020
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