@inproceedings{SarbuZ21,
  author =        {Septimia Sarbu and Abdellatif Zaidi},
  booktitle =     {Proceedings of the 2021 IEEE International Symposium
                   on Information Theory (ISIT'21)},
  month =         jun,
  title =         {On Learning Parametric Distributions from Quantized
                   Samples},
  year =          {2021},
}

@article{AcharyaCFST21,
  author =        {Jayadev Acharya and Cl{\'{e}}ment L. Canonne and
                   Cody Freitag and Ziteng Sun and Himanshu Tyagi},
  journal =       {{IEEE} J. Sel. Areas Inf. Theory},
  number =        {1},
  pages =         {253--267},
  title =         {Inference Under Information Constraints {III:} Local
                   Privacy Constraints},
  volume =        {2},
  year =          {2021},
}

@article{AcharyaCST21b,
  author    = {Jayadev Acharya and
               Cl{\'{e}}ment L. Canonne and
               Zuteng Sun and
               Himanshu Tyagi},
  title     = {Unified lower bounds for interactive high-dimensional estimation under
               information constraints},
  journal   = {CoRR},
  volume    = {abs/2010.06562},
  year      = {2021}
}

@article{AcharyaCMT21,
  author    = {Jayadev Acharya and
               Cl{\'{e}}ment L. Canonne and
               Prathamesh Mayekar and
               Himanshu Tyagi},
  title     = {Information-constrained optimization: can adaptive processing of gradients
               help?},
  journal   = {CoRR},
  volume    = {abs/2104.00979},
  year      = {2021}
}

@article{AcharyaCST21a,
  author    = {Jayadev Acharya and
               Cl{\'{e}}ment L. Canonne and
               Aditya Vikram Singh and
               Himanshu Tyagi},
  title     = {Optimal Rates for Nonparametric Density Estimation under Communication
               Constraints},
  journal   = {CoRR},
  volume    = {abs/2107.10078},
  year      = {2021}
}

@article{AsoodehAC21,
  author    = {Shahab Asoodeh and
               Maryam Aliakbarpour and
               Fl{\'{a}}vio P. Calmon},
  title     = {Local Differential Privacy Is Equivalent to Contraction of $E_\gamma$-Divergence},
  journal   = {CoRR},
  volume    = {abs/2102.01258},
  year      = {2021}
}

@article{AcharyaCLZT20,
  author =        {Jayadev Acharya and Cl{\'{e}}ment L. Canonne and
                   Yuhan Liu and Ziteng Sun and Himanshu Tyagi},
  journal =       {CoRR},
  title =         {Interactive Inference under Information Constraints},
  volume =        {abs/2007.10976},
  year =          {2020},
  url =           {https://arxiv.org/abs/2007.10976},
}

@article{BarnesCO20,
  author =        {Leighton Pate Barnes and Wei{-}Ning Chen and
                   Ayfer {\"{O}}zg{\"{u}}r},
  journal =       {{IEEE} J. Sel. Areas Inf. Theory},
  number =        {3},
  pages =         {645--659},
  title =         {Fisher Information Under Local Differential Privacy},
  volume =        {1},
  year =          {2020},
}

@article{HanOW20,
  author =        {{Han}, Yanjun and {{\"O}zg{\"u}r}, Ayfer and
                   {Weissman}, Tsachy},
  journal =       {ArXiv e-prints},
  month =         sep,
  title =         {{Geometric Lower Bounds for Distributed Parameter
                   Estimation under Communication Constraints}},
  volume =        {abs/1802.08417v3},
  year =          {2020},
}

@article{AcharyaCT20a,
  author =        {Acharya, Jayadev and Canonne, Cl\'{e}ment L. and
                   Tyagi, Himanshu},
  journal =       {IEEE Trans. Inform. Theory},
  note =          {Preprint available at arXiv:abs/1812.11476.},
  number =        {12},
  pages =         {7835--7855},
  title =         {Inference under information constraints {I}: {L}ower
                   bounds from chi-square contraction},
  volume =        {66},
  year =          {2020},
  doi =           {10.1109/TIT.2020.3028440},
  issn =          {0018-9448},
  url =           {https://doi.org/10.1109/TIT.2020.3028440},
}

@article{AcharyaCT20b,
  author    = {Jayadev Acharya and
               Cl{\'{e}}ment L. Canonne and
               Himanshu Tyagi},
  title     = {Inference Under Information Constraints {II:} Communication Constraints
               and Shared Randomness},
  journal   = {{IEEE} Trans. Inf. Theory},
  volume    = {66},
  number    = {12},
  pages     = {7856--7877},
  year      = {2020}
}

@inproceedings{AcharyaCHST20,
  author    = {Jayadev Acharya and
               Cl{\'{e}}ment L. Canonne and
               Yanjun Han and
               Ziteng Sun and
               Himanshu Tyagi},
  title     = {Domain Compression and its Application to Randomness-Optimal Distributed
               Goodness-of-Fit},
  booktitle = {{COLT}},
  series    = {Proceedings of Machine Learning Research},
  volume    = {125},
  pages     = {3--40},
  publisher = {{PMLR}},
  year      = {2020}
}

@inproceedings{AcharyaCT20d,
  author    = {Jayadev Acharya and
               Cl{\'{e}}ment L. Canonne and
               Himanshu Tyagi},
  title     = {Distributed Signal Detection under Communication Constraints},
  booktitle = {{COLT}},
  series    = {Proceedings of Machine Learning Research},
  volume    = {125},
  pages     = {41--63},
  publisher = {{PMLR}},
  year      = {2020}
}

@misc{Wu20,
  author =        {Wu, Yihong},
  title =         {Lecture notes on: Information-theoretic methods for
                   high-dimensional statistics},
  year =          {2020},
  url =           {http://www.stat.yale.edu/~yw562/teaching/it-stats.pdf},
}

@article{BarnesHO20,
  author =        {Barnes, Leighton Pate and Han, Yanjun and
                   \"{O}zg\"{u}r, Ayfer},
  journal =       {J. Mach. Learn. Res.},
  pages =         {Paper No. 236, 30},
  title =         {Lower bounds for learning distributions under
                   communication constraints via fisher information},
  volume =        {21},
  year =          {2020},
  issn =          {1532-4435},
}

@inproceedings{CanonneKMUZ19,
  author =        {Cl{\'{e}}ment L. Canonne and Gautam Kamath and
                   Audra McMillan and Jonathan Ullman and
                   Lydia Zakynthinou},
  booktitle =     {Advances in Neural Information Processing Systems 33},
  note =          {Preprint available at
                   arXiv:abs/1905.11947},
  title =         {Private Identity Testing for High-Dimensional
                   Distributions},
  year =          {2020},
}

@inproceedings{BerrettB20,
  author    = {Thomas Berrett and
               Cristina Butucea},
  title     = {Locally private non-asymptotic testing of discrete distributions is
               faster using interactive mechanisms},
  booktitle = {NeurIPS},
  year      = {2020}
}

@article{ButuceaDKS20,
    author = {Butucea, Cristina and Dubois, Amandine and Kroll, Martin and
              Saumard, Adrien},
     title = {Local differential privacy: elbow effect in optimal density
              estimation and adaptation over {B}esov ellipsoids},
   journal = {Bernoulli},
  fjournal = {Bernoulli. Official Journal of the Bernoulli Society for
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    volume = {26},
      year = {2020},
    number = {3},
     pages = {1727--1764},
      issn = {1350-7265},
       doi = {10.3150/19-BEJ1165},
       url = {https://doi.org/10.3150/19-BEJ1165},
}

@incollection{JosephKMW19,
  author =        {Joseph, Matthew and Kulkarni, Janardhan and
                   Mao, Jieming and Wu, Steven Z.},
  booktitle =     {Advances in Neural Information Processing Systems 32},
  editor =        {H. Wallach and H. Larochelle and A. Beygelzimer and
                   F. d\textquotesingle Alch\'{e}-Buc and E. Fox and
                   R. Garnett},
  pages =         {2984--2993},
  publisher =     {Curran Associates, Inc.},
  title =         {Locally Private Gaussian Estimation},
  year =          {2019},
}

@inproceedings{BarnesHO19,
  author =        {Leighton P. Barnes and Yanjun Han and
                   Ayfer {\"{O}}zg{\"{u}}r},
  booktitle =     {{ISIT}},
  pages =         {2704--2708},
  publisher =     {{IEEE}},
  title =         {Fisher Information for Distributed Estimation under a
                   Blackboard Communication Protocol},
  year =          {2019},
}

@inproceedings{DuchR19,
  address =       {Phoenix, USA},
  author =        {Duchi, John and Rogers, Ryan},
  booktitle =     {Proceedings of the Thirty-Second Conference on
                   Learning Theory},
  editor =        {Beygelzimer, Alina and Hsu, Daniel},
  month =         jun,
  pages =         {1161--1191},
  publisher =     {PMLR},
  series =        {Proceedings of Machine Learning Research},
  title =         {Lower Bounds for Locally Private Estimation via
                   Communication Complexity},
  volume =        {99},
  year =          {2019},
}

@inproceedings{AcharyaSZ19,
  author =        {Acharya, Jayadev and Sun, Ziteng and Zhang, Huanyu},
  booktitle =     {Proceedings of Machine Learning Research},
  editor =        {Chaudhuri, Kamalika and Sugiyama, Masashi},
  month =         {16--18 Apr},
  pages =         {1120--1129},
  publisher =     {PMLR},
  series =        {Proceedings of Machine Learning Research},
  title =         {Hadamard Response: Estimating Distributions
                   Privately, Efficiently, and with Little
                   Communication},
  volume =        {89},
  year =          {2019},
  url =           {http://proceedings.mlr.press/v89/acharya19a.html},
}

@inproceedings{DiakonikolasGKR19,
  author    = {Ilias Diakonikolas and
               Themis Gouleakis and
               Daniel M. Kane and
               Sankeerth Rao},
  title     = {Communication and Memory Efficient Testing of Discrete Distributions},
  booktitle = {{COLT}},
  series    = {Proceedings of Machine Learning Research},
  volume    = {99},
  pages     = {1070--1106},
  publisher = {{PMLR}},
  year      = {2019}
}

@inproceedings{HanOW18,
  author =        {Yanjun Han and Ayfer {\"{O}}zg{\"{u}}r and
                   Tsachy Weissman},
  booktitle =     {Proceedings of the 31st Conference on Learning
                   Theory, {COLT} 2018},
  pages =         {3163--3188},
  publisher =     {{PMLR}},
  series =        {Proceedings of Machine Learning Research},
  title =         {Geometric Lower Bounds for Distributed Parameter
                   Estimation under Communication Constraints},
  volume =        {75},
  year =          {2018},
  note = {The arXiv (v3) version from 2020 corrects some issues and includes more results.}
}

@inproceedings{HanMOW18,
  author =        {Yanjun Han and Pritam Mukherjee and
                   Ayfer {{\"O}zg{\"u}r} and Tsachy Weissman},
  booktitle =     {Proceedings of the 2018 IEEE International Symposium
                   on Information Theory (ISIT'18)},
  pages =         {506--510},
  title =         {Distributed Statistical Estimation of
                   High-Dimensional and Non-parametric Distributions},
  year =          {2018},
}

@article{DuchiJW18,
  author =        {Duchi, John C. and Jordan, Michael I. and
                   Wainwright, Martin J.},
  journal =       {J. Amer. Statist. Assoc.},
  number =        {521},
  pages =         {182--201},
  title =         {Minimax optimal procedures for locally private
                   estimation},
  volume =        {113},
  year =          {2018},
  issn =          {0162-1459},
}

@article{YeB18,
  author =        {Ye, Min and Barg, Alexander},
  journal =       {IEEE Trans. Inform. Theory},
  number =        {8},
  pages =         {5662--5676},
  title =         {Optimal schemes for discrete distribution estimation
                   under locally differential privacy},
  volume =        {64},
  year =          {2018},
  doi =           {10.1109/TIT.2018.2809790},
  issn =          {0018-9448},
  url =           {https://doi.org/10.1109/TIT.2018.2809790},
}

@article{XuR18,
  author =        {Xu, Aolin and Raginsky, Maxim},
  journal =       {IEEE Transactions on Information Theory},
  number =        {3},
  pages =         {1580--1600},
  publisher =     {IEEE},
  title =         {{Information-theoretic lower bounds on Bayes risk in
                   decentralized estimation}},
  volume =        {63},
  year =          {2017},
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@inproceedings{BravermanGMNW16,
  author =        {Mark Braverman and Ankit Garg and Tengyu Ma and
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  booktitle =     {Symposium on Theory of Computing Conference, STOC'16},
  pages =         {1011--1020},
  publisher =     {{ACM}},
  title =         {Communication lower bounds for statistical estimation
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  year =          {2016},
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  author =        {Ankit Garg and Tengyu Ma and Huy L. Nguyen},
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  year =          {2014},
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@inproceedings{Shamir14,
  author =        {Shamir, Ohad},
  booktitle =     {Advances in Neural Information Processing Systems 27},
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  year =          {2014},
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@inproceedings{ZhangDJW13,
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  author =        {Wainwright, Martin J.},
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  number =        {12},
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  year =          {2009},
  doi =           {10.1109/TIT.2009.2032816},
  issn =          {0018-9448},
  url =           {https://doi.org/10.1109/TIT.2009.2032816},
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