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2022
Estimation of the l_2-norm and testing in sparse linear regression with unknown variance
Bernoulli, vol. 28, iss. 4, p. 2744–2787, 2022.
By A. Carpentier, O. Collier, L. Comminges, A. B. Tsybakov, and Y. Wang@article{MR4474561, author={Carpentier, Alexandra and Collier, Olivier and Comminges, Laetitia and Tsybakov, Alexandre B. and Wang, Yuhao}, title={Estimation of the l_2-norm and testing in sparse linear regression with unknown variance}, JOURNAL={Bernoulli}, volume={28}, year={2022}, NUMBER={4}, pages={2744--2787}, }Improved clustering algorithms for the bipartite stochastic block model
Ieee transactions on information theory, vol. 68, iss. 3, pp. 1960-1975, 2022.
By M. Ndaoud, S. Sigalla, and A. B. Tsybakov@article{Ndaoud20221960, author={Ndaoud, M. and Sigalla, S. and Tsybakov, A.B.}, title={Improved Clustering Algorithms for the Bipartite Stochastic Block Model}, journal={IEEE Transactions on Information Theory}, year={2022}, volume={68}, number={3}, pages={1960-1975}, doi={10.1109/TIT.2021.3130683}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85120579921&doi=10.1109%2fTIT.2021.3130683&partnerID=40&md5=3853f7db280bf27d25d1b42e3912a148}, publisher={Institute of Electrical and Electronics Engineers Inc.}, }
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2021
Adaptive robust estimation in sparse vector model
The annals of statistics, vol. 49, iss. 3, p. 1347–1377, 2021.
By L. Comminges, O. Collier, M. Ndaoud, and A. B. Tsybakov@article{comminges2021adaptive, title={Adaptive robust estimation in sparse vector model}, author={Comminges, Laetitia and Collier, Olivier and Ndaoud, Mohamed and Tsybakov, Alexandre B}, journal={The Annals of Statistics}, volume={49}, number={3}, pages={1347--1377}, year={2021}, publisher={Institute of Mathematical Statistics}, issn={0090-5364}, doi={10.1214/20-AOS2002}, sici={0090-5364(2021)49:3<1347:AREISV>2.0.CO;2-H}, url={https://arxiv.org/pdf/1802.04230.pdf}, }
2020
On estimation of nonsmooth functionals of sparse normal means
Bernoulli, vol. 26, iss. 3, pp. 1989-2020, 2020.
By O. Collier, L. Comminges, and A. B. Tsybakov@article{Collier20201989, author={Collier, O. and Comminges, L. and Tsybakov, A.B.}, title={On estimation of nonsmooth functionals of sparse normal means}, journal={Bernoulli}, year={2020}, volume={26}, number={3}, pages={1989-2020}, doi={10.3150/19-BEJ1180}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85091139630&doi=10.3150%2f19-BEJ1180&partnerID=40&md5=f55115f95e7e0a5f5019d7f0e5818c0a}, publisher={International Statistical Institute}, }Optimal variable selection and adaptive noisy compressed sensing
Ieee transactions on information theory, vol. 66, iss. 4, pp. 2517-2532, 2020.
By M. Ndaoud and A. B. Tsybakov@article{Ndaoud20202517, author={Ndaoud, M. and Tsybakov, A.B.}, title={Optimal variable selection and adaptive noisy compressed sensing}, journal={IEEE Transactions on Information Theory}, year={2020}, volume={66}, number={4}, pages={2517-2532}, doi={10.1109/TIT.2020.2965738}, art_number={8955982}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85082398767&doi=10.1109%2fTIT.2020.2965738&partnerID=40&md5=bc15fcf61b4397f753eef2e54bfcbfed}, publisher={Institute of Electrical and Electronics Engineers Inc.}, }
2019
Statistical inference for structured high-dimensional models
Oberwolfach reports, vol. 15, iss. 1, p. 591–630, 2019.
By A. Juditsky, A. B. Tsybakov, and C. Zhang@article{juditsky2019statistical, title={Statistical Inference for Structured High-dimensional Models}, author={Juditsky, Anatoli and Tsybakov, Alexandre B and Zhang, Cun-Hui}, journal={Oberwolfach Reports}, volume={15}, number={1}, pages={591--630}, year={2019}, }Minimax rate of testing in sparse linear regression
Automation and remote control, vol. 80, iss. 10, pp. 1817-1834, 2019.
By A. Carpentier, O. Collier, L. Comminges, A. B. Tsybakov, and Y. Wang@article{Carpentier20191817, author={Carpentier, A. and Collier, O. and Comminges, L. and Tsybakov, A.B. and Wang, Y.}, title={Minimax Rate of Testing in Sparse Linear Regression}, journal={Automation and Remote Control}, year={2019}, volume={80}, number={10}, pages={1817-1834}, doi={10.1134/S0005117919100047}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85073621680&doi=10.1134%2fS0005117919100047&partnerID=40&md5=81b5e0faa8b3640a6797637dd50dc06e}, publisher={Pleiades Publishing}, }Algorithms of robust stochastic optimization based on mirror descent method
Automation and remote control, vol. 80, iss. 9, pp. 1607-1627, 2019.
By A. V. Nazin, A. S. Nemirovsky, A. B. Tsybakov, and A. B. Juditsky@article{Nazin20191607, author={Nazin, A.V. and Nemirovsky, A.S. and Tsybakov, A.B. and Juditsky, A.B.}, title={Algorithms of Robust Stochastic Optimization Based on Mirror Descent Method}, journal={Automation and Remote Control}, year={2019}, volume={80}, number={9}, pages={1607-1627}, doi={10.1134/S0005117919090042}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85072963520&doi=10.1134%2fS0005117919090042&partnerID=40&md5=472eee4f5daa78097b7e0945fa5b41ca}, publisher={Pleiades Publishing}, }Structured matrix estimation and completion
Bernoulli, vol. 25, iss. 4B, pp. 3883-3911, 2019.
By O. Klopp, Y. Lu, A. B. Tsybakov, and H. H. Zhou@article{Klopp20193883, author={Klopp, O. and Lu, Y. and Tsybakov, A.B. and Zhou, H.H.}, title={Structured matrix estimation and completion}, journal={Bernoulli}, year={2019}, volume={25}, number={4B}, pages={3883-3911}, doi={10.3150/19-BEJ1114}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85073073915&doi=10.3150%2f19-BEJ1114&partnerID=40&md5=ed7238ecb9bc9ae7bed3e94b4ee4e9db}, publisher={International Statistical Institute}, }Sparse covariance matrix estimation in high-dimensional deconvolution
Bernoulli, vol. 25, iss. 3, pp. 1901-1938, 2019.
By D. Belomestny, M. Trabs, and A. B. Tsybakov@article{Belomestny20191901, author={Belomestny, D. and Trabs, M. and Tsybakov, A.B.}, title={Sparse covariance matrix estimation in high-dimensional deconvolution}, journal={Bernoulli}, year={2019}, volume={25}, number={3}, pages={1901-1938}, doi={10.3150/18-BEJ1040A}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85069733380&doi=10.3150%2f18-BEJ1040A&partnerID=40&md5=10a3cdf8fc0bd15c48ca8edc638a9f0e}, publisher={International Statistical Institute}, }
2018
Slope meets lasso: improved oracle bounds and optimality
The annals of statistics, vol. 46, iss. 6B, p. 3603–3642, 2018.
By P. C. Bellec, G. Lecue, and A. B. Tsybakov@article{bellec2018slope, title={Slope meets lasso: improved oracle bounds and optimality}, author={Bellec, Pierre C and Lecue, Guillaume and Tsybakov, Alexandre B}, journal={The Annals of Statistics}, volume={46}, number={6B}, pages={3603--3642}, year={2018}, publisher={JSTOR}, }Variable selection with hamming loss
Annals of statistics, vol. 46, iss. 5, pp. 1837-1875, 2018.
By C. Butucea, M. Ndaoud, N. A. Stepanova, and A. B. Tsybakov@article{Butucea20181837, author={Butucea, C. and Ndaoud, M. and Stepanova, N.A. and Tsybakov, A.B.}, title={Variable selection with hamming loss}, journal={Annals of Statistics}, year={2018}, volume={46}, number={5}, pages={1837-1875}, doi={10.1214/17-AOS1572}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85052655230&doi=10.1214%2f17-AOS1572&partnerID=40&md5=7f43dc9716fafc6e4c886f2cabc27df8}, publisher={Institute of Mathematical Statistics}, }Optimal adaptive estimation of linear functionals under sparsity
Annals of statistics, vol. 46, iss. 6A, pp. 3130-3150, 2018.
By O. Collier, L. Comminges, A. B. Tsybakov, and N. Verzelen@article{Collier20183130, author={Collier, O. and Comminges, L. and Tsybakov, A.B. and Verzelen, N.}, title={Optimal adaptive estimation of linear functionals under sparsity}, journal={Annals of Statistics}, year={2018}, volume={46}, number={6A}, pages={3130-3150}, doi={10.1214/17-AOS1653}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85054763840&doi=10.1214%2f17-AOS1653&partnerID=40&md5=3719a1d4a3388288ca71bb4022e4117c}, publisher={Institute of Mathematical Statistics}, }
2017
By P. Bellec, G. Lecue, and A. Tsybakov, "Towards the study of least squares estimators with convex penalty," in Actes du 1er congres national de la smf, tours, 2016, Soc. math. france, paris, 2017, vol. 31, p. 109–136.@incollection {MR3837652, author={Bellec, Pierre and Lecue, Guillaume and Tsybakov, Alexandre}, title={Towards the study of least squares estimators with convex penalty}, booktitle={Actes du 1er Congres National de la SMF, Tours, 2016}, series={Semin. Congr.}, volume={31}, pages={109--136}, publisher={Soc. Math. France, Paris}, year={2017}, mrclass={62J05 (62-02 62J07)}, mrnumber={3837652}, }Robust matrix completion
Probability theory and related fields, vol. 169, iss. 1-2, pp. 523-564, 2017.
By O. Klopp, K. Lounici, and A. B. Tsybakov@article{Klopp2017523, author={Klopp, O. and Lounici, K. and Tsybakov, A.B.}, title={Robust matrix completion}, journal={Probability Theory and Related Fields}, year={2017}, volume={169}, number={1-2}, pages={523-564}, doi={10.1007/s00440-016-0736-y}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84983445835&doi=10.1007%2fs00440-016-0736-y&partnerID=40&md5=b5bdbad468f45c041d2131821770f5d5}, publisher={Springer New York LLC}, }Minimax estimation of linear and quadratic functionals on sparsity classes
Annals of statistics, vol. 45, iss. 3, pp. 923-958, 2017.
By O. Collier, L. Comminges, and A. B. Tsybakov@article{Collier2017923, author={Collier, O. and Comminges, L. and Tsybakov, A.B.}, title={Minimax estimation of linear and quadratic functionals on sparsity classes}, journal={Annals of Statistics}, year={2017}, volume={45}, number={3}, pages={923-958}, doi={10.1214/15-AOS1432}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85020631616&doi=10.1214%2f15-AOS1432&partnerID=40&md5=f68e9f442d7dcc58d7b5fd391bc7b952}, publisher={Institute of Mathematical Statistics}, }Linear and conic programming estimators in high dimensional errors-in-variables models
Journal of the royal statistical society. series b: statistical methodology, vol. 79, iss. 3, pp. 939-956, 2017.
By A. Belloni, M. Rosenbaum, and A. B. Tsybakov@article{Belloni2017939, author={Belloni, A. and Rosenbaum, M. and Tsybakov, A.B.}, title={Linear and conic programming estimators in high dimensional errors-in-variables models}, journal={Journal of the Royal Statistical Society. Series B: Statistical Methodology}, year={2017}, volume={79}, number={3}, pages={939-956}, doi={10.1111/rssb.12196}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84978148144&doi=10.1111%2frssb.12196&partnerID=40&md5=51a9b292300db46f549014e690c747aa}, publisher={Blackwell Publishing Ltd}, }Empirical entropy, minimax regret and minimax risk
Bernoulli, vol. 23, iss. 2, pp. 789-824, 2017.
By A. Rakhlin, K. Sridharan, and A. B. Tsybakov@article{Rakhlin2017789, author={Rakhlin, A. and Sridharan, K. and Tsybakov, A.B.}, title={Empirical entropy, minimax regret and minimax risk}, journal={Bernoulli}, year={2017}, volume={23}, number={2}, pages={789-824}, doi={10.3150/14-BEJ679}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85012932326&doi=10.3150%2f14-BEJ679&partnerID=40&md5=8b2f2fe19eece3e4839088df390a43d9}, publisher={International Statistical Institute}, }Oracle inequalities for network models and sparse graphon estimation
Annals of statistics, vol. 45, iss. 1, pp. 316-354, 2017.
By O. Klopp, A. B. Tsybakov, and N. Verzelen@article{Klopp2017316, author={Klopp, O. and Tsybakov, A.B. and Verzelen, N.}, title={Oracle inequalities for network models and sparse graphon estimation}, journal={Annals of Statistics}, year={2017}, volume={45}, number={1}, pages={316-354}, doi={10.1214/16-AOS1454}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85015023562&doi=10.1214%2f16-AOS1454&partnerID=40&md5=eccdbefa98c9cf5dfb3ebfa09a9f3c86}, publisher={Institute of Mathematical Statistics}, }
2016
An inifity-regularization approach to high-dimensional errors-in-variables models
Electronic journal of statistics, vol. 10, iss. 2, p. 1729–1750, 2016.
By A. Belloni, M. Rosenbaum, and A. B. Tsybakov@article{belloni2016ell_, title={An inifity-regularization approach to high-dimensional errors-in-variables models}, author={Belloni, Alexandre and Rosenbaum, Mathieu and Tsybakov, Alexandre B}, journal={Electronic journal of statistics}, volume={10}, number={2}, pages={1729--1750}, year={2016}, publisher={Institute of Mathematical Statistics and Bernoulli Society}, }Discussion of" influential features pca for high dimensional clustering"
The annals of statistics, vol. 44, iss. 6, p. 2382–2386, 2016.
By N. A. Stepanova and A. B. Tsybakov@article{stepanova2016discussion, title={Discussion of" influential features PCA for high dimensional clustering"}, author={Stepanova, Natalia A and Tsybakov, Alexandre B}, journal={The Annals of Statistics}, volume={44}, number={6}, pages={2382--2386}, year={2016}, publisher={JSTOR}, }Discussion of "influential features pca for high dimensional clustering"
Annals of statistics, vol. 44, iss. 6, pp. 2382-2386, 2016.
By N. A. Stepanova and A. B. Tsybakov@article{Stepanova20162382, author={Stepanova, N.A. and Tsybakov, A.B.}, title={Discussion of "influential features PCA for high dimensional clustering"}, journal={Annals of Statistics}, year={2016}, volume={44}, number={6}, pages={2382-2386}, doi={10.1214/16-AOS1423D}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84999648344&doi=10.1214%2f16-AOS1423D&partnerID=40&md5=8459299f242c9e8d2aba3e9f09ec62c5}, publisher={Institute of Mathematical Statistics}, }Estimation of low-rank covariance function
Stochastic processes and their applications, vol. 126, iss. 12, pp. 3952-3967, 2016.
By V. Koltchinskii, K. Lounici, and A. B. Tsybakov@article{Koltchinskii20163952, author={Koltchinskii, V. and Lounici, K. and Tsybakov, A.B.}, title={Estimation of low-rank covariance function}, journal={Stochastic Processes and their Applications}, year={2016}, volume={126}, number={12}, pages={3952-3967}, doi={10.1016/j.spa.2016.04.006}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84969964130&doi=10.1016%2fj.spa.2016.04.006&partnerID=40&md5=1e3350a5864e8537e16742ef89b95e9d}, publisher={Elsevier B.V.}, }An ℓ1, ℓ2, ℓ∞-regularization approach to high-dimensional errors-in-variables models
Electronic journal of statistics, vol. 10, iss. 2, pp. 1729-1750, 2016.
By A. Belloni, M. Rosenbaum, and A. B. Tsybakov@article{Belloni20161729, author={Belloni, A. and Rosenbaum, M. and Tsybakov, A.B.}, title={An {ℓ1, ℓ2, ℓ∞}-regularization approach to high-dimensional errors-in-variables models}, journal={Electronic Journal of Statistics}, year={2016}, volume={10}, number={2}, pages={1729-1750}, doi={10.1214/15-EJS1095}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84978696374&doi=10.1214%2f15-EJS1095&partnerID=40&md5=d431a664d415922fac31faa87ca28276}, publisher={Institute of Mathematical Statistics}, }Discussion of “estimating structured high-dimensional covariance and precision matrices: optimal rates and adaptive estimation”
Electronic journal of statistics, vol. 10, iss. 1, pp. 67-70, 2016.
By A. B. Tsybakov@article{Tsybakov201667, author={Tsybakov, A.B.}, title={Discussion of “estimating structured high-dimensional covariance and precision matrices: Optimal rates and adaptive estimation”}, journal={Electronic Journal of Statistics}, year={2016}, volume={10}, number={1}, pages={67-70}, doi={10.1214/15-EJS1081A}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84975770517&doi=10.1214%2f15-EJS1081A&partnerID=40&md5=1d4429e3c80d5bc2dd5fca7f61acb75f}, publisher={Institute of Mathematical Statistics}, }
2015
Sharp oracle bounds for monotone and convex regression through aggregation.
J. mach. learn. res., vol. 16, p. 1879–1892, 2015.
By P. C. Bellec and A. B. Tsybakov@article{bellec2015sharp, title={Sharp oracle bounds for monotone and convex regression through aggregation.}, author={Bellec, Pierre C and Tsybakov, Alexandre B}, journal={J. Mach. Learn. Res.}, volume={16}, pages={1879--1892}, year={2015}, }Estimation of matrices with row sparsity
Problems of information transmission, vol. 51, iss. 4, pp. 335-348, 2015.
By O. Klopp and A. B. Tsybakov@article{Klopp2015335, author={Klopp, O. and Tsybakov, A.B.}, title={Estimation of matrices with row sparsity}, journal={Problems of Information Transmission}, year={2015}, volume={51}, number={4}, pages={335-348}, doi={10.1134/S0032946015040031}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84952939495&doi=10.1134%2fS0032946015040031&partnerID=40&md5=1d44421d8eb21c646a858a5a04b2b876}, publisher={Maik Nauka Publishing / Springer SBM}, }
2014
Statistical inference in compound functional models
Probability theory and related fields, vol. 158, iss. 3-4, pp. 513-532, 2014.
By A. Dalalyan, Y. Ingster, and A. B. Tsybakov@article{Dalalyan2014513, author={Dalalyan, A. and Ingster, Y. and Tsybakov, A.B.}, title={Statistical inference in compound functional models}, journal={Probability Theory and Related Fields}, year={2014}, volume={158}, number={3-4}, pages={513-532}, doi={10.1007/s00440-013-0487-y}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84897671636&doi=10.1007%2fs00440-013-0487-y&partnerID=40&md5=5fb8613c1c4e0a1501d0e72297fb4324}, }Optimal exponential bounds on the accuracy of classification
Constructive approximation, vol. 39, iss. 3, pp. 421-444, 2014.
By G. Kerkyacharian, A. B. Tsybakov, V. Temlyakov, D. Picard, and V. Koltchinskii@article{Kerkyacharian2014421, author={Kerkyacharian, G. and Tsybakov, A.B. and Temlyakov, V. and Picard, D. and Koltchinskii, V.}, title={Optimal Exponential Bounds on the Accuracy of Classification}, journal={Constructive Approximation}, year={2014}, volume={39}, number={3}, pages={421-444}, doi={10.1007/s00365-014-9229-3}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84901038612&doi=10.1007%2fs00365-014-9229-3&partnerID=40&md5=3c0c5d6a91f6da623bd42fa7410c114a}, publisher={Springer New York LLC}, }
2013
Pivotal estimation in high-dimensional regression via linear programming
Empirical inference: festschrift in honor of vladimir n. vapnik, , pp. 195-204, 2013.
By E. Gautier and A. B. Tsybakov@book{Gautier2013195, author={Gautier, E. and Tsybakov, A.B.}, title={Pivotal estimation in high-dimensional regression via linear programming}, journal={Empirical Inference: Festschrift in Honor of Vladimir N. Vapnik}, year={2013}, pages={195-204}, doi={10.1007/978-3-642-41136-6_17}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84948109105&doi=10.1007%2f978-3-642-41136-6_17&partnerID=40&md5=df406b493c8153bd30d241f18346ab89}, publisher={Springer Berlin Heidelberg}, }
2012
Discussion: latent variable graphical model selection via convex optimization
The annals of statistics, vol. 40, iss. 4, p. 1984–1988, 2012.
By C. Giraud and A. Tsybakov@article{giraud2012discussion, title={Discussion: Latent variable graphical model selection via convex optimization}, author={Giraud, Christophe and Tsybakov, Alexandre}, journal={The Annals of Statistics}, volume={40}, number={4}, pages={1984--1988}, year={2012}, publisher={JSTOR}, }Sparse estimation by exponential weighting
Statistical science, vol. 27, iss. 4, pp. 558-575, 2012.
By P. Rigollet and A. B. Tsybakov@article{Rigollet2012558, author={Rigollet, P. and Tsybakov, A.B.}, title={Sparse estimation by exponential weighting}, journal={Statistical Science}, year={2012}, volume={27}, number={4}, pages={558-575}, doi={10.1214/12-STS393}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84871564349&doi=10.1214%2f12-STS393&partnerID=40&md5=d4d5154252826c1a4cc2274dc828ccac}, }Comment
Statistica sinica, vol. 22, iss. 4, pp. 1358-1367, 2012.
By P. Rigollet and A. B. Tsybakov@article{Rigollet20121358, author={Rigollet, P. and Tsybakov, A.B.}, title={Comment}, journal={Statistica Sinica}, year={2012}, volume={22}, number={4}, pages={1358-1367}, doi={10.5705/ss.2010.253}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84866857300&doi=10.5705%2fss.2010.253&partnerID=40&md5=4ccc5ea95b265453b2953396f2c8d812}, }Mirror averaging with sparsity priors
Bernoulli, vol. 18, iss. 3, pp. 914-944, 2012.
By A. S. Dalalyan and A. B. Tsybakov@article{Dalalyan2012914, author={Dalalyan, A.S. and Tsybakov, A.B.}, title={Mirror averaging with sparsity priors}, journal={Bernoulli}, year={2012}, volume={18}, number={3}, pages={914-944}, doi={10.3150/11-BEJ361}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84871602377&doi=10.3150%2f11-BEJ361&partnerID=40&md5=6ce893aae1566e6d04ad0672cff36b2c}, }
2011
Exponential screening and optimal rates of sparse estimation
The annals of statistics, vol. 39, iss. 2, p. 731–771, 2011.
By P. Rigollet and A. Tsybakov@article{rigollet2011exponential, title={Exponential screening and optimal rates of sparse estimation}, author={Rigollet, Philippe and Tsybakov, Alexandre}, journal={The Annals of Statistics}, volume={39}, number={2}, pages={731--771}, year={2011}, publisher={Institute of Mathematical Statistics}, }Nuclear-norm penalization and optimal rates for noisy low-rank matrix completion
Annals of statistics, vol. 39, iss. 5, pp. 2302-2329, 2011.
By V. Koltchinskii, K. Lounici, and A. B. Tsybakov@article{Koltchinskii20112302, author={Koltchinskii, V. and Lounici, K. and Tsybakov, A.B.}, title={Nuclear-norm penalization and optimal rates for noisy low-rank matrix completion}, journal={Annals of Statistics}, year={2011}, volume={39}, number={5}, pages={2302-2329}, doi={10.1214/11-AOS894}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-82655171609&doi=10.1214%2f11-AOS894&partnerID=40&md5=d196bec4fb075748b70cefb4eb5e33fc}, }Estimation of high-dimensional low-rank matrices
Annals of statistics, vol. 39, iss. 2, pp. 887-930, 2011.
By R. Angelika and A. B. Tsybakov@article{Angelika2011887, author={Angelika, R. and Tsybakov, A.B.}, title={Estimation of high-dimensional low-rank matrices}, journal={Annals of Statistics}, year={2011}, volume={39}, number={2}, pages={887-930}, doi={10.1214/10-AOS860}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-79952902758&doi=10.1214%2f10-AOS860&partnerID=40&md5=2668e73f1982412a7ea19c15a59e452a}, }Oracle inequalities and optimal inference under group sparsity
Annals of statistics, vol. 39, iss. 4, pp. 2164-2204, 2011.
By K. Lounici, M. Pontil, S. Van De Geer, and A. B. Tsybakov@article{Lounici20112164, author={Lounici, K. and Pontil, M. and Van De Geer, S. and Tsybakov, A.B.}, title={Oracle inequalities and optimal inference under group sparsity}, journal={Annals of Statistics}, year={2011}, volume={39}, number={4}, pages={2164-2204}, doi={10.1214/11-AOS896}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84855412474&doi=10.1214%2f11-AOS896&partnerID=40&md5=7b317396150f020886542c98172397db}, publisher={Institute of Mathematical Statistics}, }
2010
Spades and mixture models
The annals of statistics, vol. 38, iss. 4, p. 2525–2558, 2010.
By F. Bunea, A. B. Tsybakov, M. H. Wegkamp, and A. Barbu@article{bunea2010spades, title={Spades and mixture models}, author={Bunea, Florentina and Tsybakov, Alexandre B and Wegkamp, Marten H and Barbu, Adrian}, journal={The Annals of Statistics}, volume={38}, number={4}, pages={2525--2558}, year={2010}, publisher={Institute of Mathematical Statistics}, }Noisy independent factor analysis model for density estimation and classification
Electronic journal of statistics, vol. 4, pp. 707-736, 2010.
By U. Amatok, A. Antoniadis, A. Samarov, and A. B. Tsybakov@article{Amatok2010707, author={Amatok, U. and Antoniadis, A. and Samarov, A. and Tsybakov, A.B.}, title={Noisy independent factor analysis model for density estimation and classification}, journal={Electronic Journal of Statistics}, year={2010}, volume={4}, pages={707-736}, doi={10.1214/09-EJS498}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84996854813&doi=10.1214%2f09-EJS498&partnerID=40&md5=22ccee5a4f4b5e0fdb0b8d1403b2b4cf}, }Detection boundary in sparse regression
Electronic journal of statistics, vol. 4, pp. 1476-1526, 2010.
By Y. I. Ingster, A. B. Tsybakov, and N. Verzelen@article{Ingster20101476, author={Ingster, Y.I. and Tsybakov, A.B. and Verzelen, N.}, title={Detection boundary in sparse regression}, journal={Electronic Journal of Statistics}, year={2010}, volume={4}, pages={1476-1526}, doi={10.1214/10-EJS589}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-82655182652&doi=10.1214%2f10-EJS589&partnerID=40&md5=0b9e5b75077d73e4668d3b72b1ea50f1}, }Sparse recovery under matrix uncertainty
Annals of statistics, vol. 38, iss. 5, pp. 2620-2651, 2010.
By M. Rosenbaum and A. B. Tsybakov@article{Rosenbaum20102620, author={Rosenbaum, M. and Tsybakov, A.B.}, title={Sparse recovery under matrix uncertainty}, journal={Annals of Statistics}, year={2010}, volume={38}, number={5}, pages={2620-2651}, doi={10.1214/10-AOS793}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-77957596337&doi=10.1214%2f10-AOS793&partnerID=40&md5=55eb0b56c672d7bbf7a0296a5da1d590}, publisher={Institute of Mathematical Statistics}, }
2009
Nonparametric estimation of composite functions
The annals of statistics, vol. 37, iss. 3, p. 1360–1404, 2009.
By A. B. Juditsky, O. V. Lepski, and A. B. Tsybakov@article{juditsky2009nonparametric, title={Nonparametric estimation of composite functions}, author={Juditsky, Anatoli B and Lepski, Oleg V and Tsybakov, Alexandre B}, journal={The Annals of Statistics}, volume={37}, number={3}, pages={1360--1404}, year={2009}, publisher={Institute of Mathematical Statistics}, }Classification of sparse high-dimensional vectors
Philosophical transactions of the royal society a: mathematical, physical and engineering sciences, vol. 367, iss. 1906, pp. 4427-4448, 2009.
By Y. I. Ingster, C. Pouet, and A. B. Tsybakov@article{Ingster20094427, author={Ingster, Y.I. and Pouet, C. and Tsybakov, A.B.}, title={Classification of sparse high-dimensional vectors}, journal={Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences}, year={2009}, volume={367}, number={1906}, pages={4427-4448}, doi={10.1098/rsta.2009.0156}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-73349083663&doi=10.1098%2frsta.2009.0156&partnerID=40&md5=51466b2adcbc601568448e6c710ef83e}, publisher={Royal Society}, }Simultaneous analysis of lasso and dantzig selector
Annals of statistics, vol. 37, iss. 4, pp. 1705-1732, 2009.
By P. J. Bickel, Y. Ritov, and A. B. Tsybakov@article{Bickel20091705, author={Bickel, P.J. and Ritov, Y. and Tsybakov, A.B.}, title={Simultaneous analysis of lasso and dantzig selector}, journal={Annals of Statistics}, year={2009}, volume={37}, number={4}, pages={1705-1732}, doi={10.1214/08-AOS620}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-68649086910&doi=10.1214%2f08-AOS620&partnerID=40&md5=b8ffcda43fe91ef6d82f928222d9b084}, }Nonparametric estimation of composite functions1
Annals of statistics, vol. 37, iss. 3, pp. 1360-1404, 2009.
By A. B. Juditsky, O. V. Lepski, and A. B. Tsybakov@article{Juditsky20091360, author={Juditsky, A.B. and Lepski, O.V. and Tsybakov, A.B.}, title={Nonparametric estimation of composite functions1}, journal={Annals of Statistics}, year={2009}, volume={37}, number={3}, pages={1360-1404}, doi={10.1214/08-AOS611}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-68649090471&doi=10.1214%2f08-AOS611&partnerID=40&md5=30fcf2afefba9ebba4613bb6ec265666}, }
2008
Introduction to nonparametric estimation
, 2008.
By A. B. Tsybakov@book{tsybakov2008introduction, title={Introduction to nonparametric estimation}, author={Tsybakov, Alexandre B}, year={2008}, publisher={Springer}, }Sharp optimality in density deconvolution with dominating bias. ii
Theory of probability & its applications, vol. 52, iss. 2, pp. 237-249, 2008.
By C. Butucea and A. B. Tsybakov@article{butucea2008sharp, title={Sharp optimality in density deconvolution with dominating bias. II}, author={Butucea, Cristina and Tsybakov, Alexandre B}, journal={Theory of Probability & Its Applications}, volume={52}, number={2}, pages={237-249}, year={2008}, publisher={SIAM}, }Sharp optimality in density deconvolution with dominating bias. i
Theory of probability & its applications, vol. 52, iss. 1, p. 24–39, 2008.
By C. Butucea and A. B. Tsybakov@article{butucea2008sharp, title={Sharp optimality in density deconvolution with dominating bias. I}, author={Butucea, Cristina and Tsybakov, Alexandre B}, journal={Theory of Probability & Its Applications}, volume={52}, number={1}, pages={24--39}, year={2008}, publisher={SIAM}, }Gap-free bounds for stochastic multi-armed bandit
Ifac proceedings volumes, vol. 41, iss. 2, p. 11560–11563, 2008.
By A. Juditsky, A. V. Nazin, A. Tsybakov, and N. Vayatis@article{juditsky2008gap, title={Gap-free bounds for stochastic multi-armed bandit}, author={Juditsky, Anatoli and Nazin, Alexander V and Tsybakov, AB and Vayatis, Nicolas}, journal={IFAC Proceedings Volumes}, volume={41}, number={2}, pages={11560--11563}, year={2008}, publisher={Elsevier}, }Learning by mirror averaging
Annals of statistics, vol. 36, iss. 5, pp. 2183-2206, 2008.
By A. Juditsky, P. Rigollet, and A. B. Tsybakov@article{Juditsky20082183, author={Juditsky, A. and Rigollet, P. and Tsybakov, A.B.}, title={Learning by mirror averaging}, journal={Annals of Statistics}, year={2008}, volume={36}, number={5}, pages={2183-2206}, doi={10.1214/07-AOS546}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-54349121305&doi=10.1214%2f07-AOS546&partnerID=40&md5=25893181df32b1d67936ffe7cb4c5b16}, }Aggregation by exponential weighting, sharp pac-bayesian bounds and sparsity
Machine learning, vol. 72, iss. 1-2, pp. 39-61, 2008.
By A. Dalalyan and A. B. Tsybakov@article{Dalalyan200839, author={Dalalyan, A. and Tsybakov, A.B.}, title={Aggregation by exponential weighting, sharp PAC-Bayesian bounds and sparsity}, journal={Machine Learning}, year={2008}, volume={72}, number={1-2}, pages={39-61}, doi={10.1007/s10994-008-5051-0}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-70350003059&doi=10.1007%2fs10994-008-5051-0&partnerID=40&md5=ba9105a1d855f79f8ef6e36206097ca8}, publisher={Kluwer Academic Publishers}, }
2007
By A. Samarov and A. Tsybakov, "Aggregation of density estimators and dimension reduction," in Advances in statistical modeling and inference: essays in honor of kjell a doksum, World scientific, 2007, p. 233–251.@incollection{samarov2007aggregation, title={Aggregation of density estimators and dimension reduction}, author={Samarov, Alexander and Tsybakov, Alexandre}, booktitle={Advances In Statistical Modeling And Inference: Essays in Honor of Kjell A Doksum}, pages={233--251}, year={2007}, publisher={World Scientific}, }Fast learning rates for plug-in classifiers
The annals of statistics, vol. 35, iss. 2, p. 608–633, 2007.
By J. Audibert and A. B. Tsybakov@article{audibert2007fast, title={Fast learning rates for plug-in classifiers}, author={Audibert, Jean-Yves and Tsybakov, Alexandre B}, journal={The Annals of statistics}, volume={35}, number={2}, pages={608--633}, year={2007}, publisher={Institute of Mathematical Statistics}, }Aggregation for gaussian regression
The annals of statistics, vol. 35, iss. 4, p. 1674–1697, 2007.
By F. Bunea, A. B. Tsybakov, and M. H. Wegkamp@article{bunea2007aggregation, title={Aggregation for Gaussian regression}, author={Bunea, Florentina and Tsybakov, Alexandre B and Wegkamp, Marten H}, journal={The Annals of Statistics}, volume={35}, number={4}, pages={1674--1697}, year={2007}, publisher={Institute of Mathematical Statistics}, }Sparsity oracle inequalities for the lasso
Electronic journal of statistics, vol. 1, p. 169–194, 2007.
By F. Bunea, A. Tsybakov, and M. Wegkamp@article{bunea2007sparsity, title={Sparsity oracle inequalities for the Lasso}, author={Bunea, Florentina and Tsybakov, Alexandre and Wegkamp, Marten}, journal={Electronic Journal of Statistics}, volume={1}, pages={169--194}, year={2007}, publisher={Institute of Mathematical Statistics and Bernoulli Society}, }Linear and convex aggregation of density estimators
Mathematical methods of statistics, vol. 16, iss. 3, p. 260–280, 2007.
By P. Rigollet and A. B. Tsybakov@article{rigollet2007linear, title={Linear and convex aggregation of density estimators}, author={Rigollet, Ph and Tsybakov, Alexander B}, journal={Mathematical Methods of Statistics}, volume={16}, number={3}, pages={260--280}, year={2007}, }
2006
Penalized maximum likelihood and semiparametric second-order efficiency
The annals of statistics, vol. 34, iss. 1, p. 169–201, 2006.
By A. Dalalyan, G. Golubev, and A. Tsybakov@article{dalalyan2006penalized, title={Penalized maximum likelihood and semiparametric second-order efficiency}, author={Dalalyan, AS and Golubev, GK and Tsybakov, AB}, journal={The Annals of Statistics}, volume={34}, number={1}, pages={169--201}, year={2006}, publisher={Institute of Mathematical Statistics}, }Optimal change-point estimation from indirect observations
The annals of statistics, vol. 34, iss. 1, p. 350–372, 2006.
By A. Goldenshluger, A. Tsybakov, and A. Zeevi@article{goldenshluger2006optimal, title={Optimal change-point estimation from indirect observations}, author={Goldenshluger, A and Tsybakov, A and Zeevi, A}, journal={The Annals of Statistics}, volume={34}, number={1}, pages={350--372}, year={2006}, publisher={Institute of Mathematical Statistics}, }
2005
Recursive aggregation of estimators by mirror descent algorithm with averaging
Problems of information transmission, vol. 41} number={4, p. 368–384, 2005.
By A. B. Yuditskii, A. V. Nazin, A. B. Tsybakov, and N. Vayatis@article{yuditskii2005recursive, title={Recursive aggregation of estimators by mirror descent algorithm with averaging}, author={Yuditskii, A. B. and Nazin, A. V. and Tsybakov, A. B. and Vayatis, N.}, journal={Problems of Information Transmission}, volume={41} number={4}, pages={368--384}, year={2005}, }Generalization error bounds for aggregation by mirror descent with averaging
Advances in neural information processing systems, vol. 18, 2005.
By A. Juditsky, A. Nazin, A. Tsybakov, and N. Vayatis@article{juditsky2005generalization, title={Generalization error bounds for aggregation by mirror descent with averaging}, author={Juditsky, Anatoli and Nazin, Alexander and Tsybakov, Alexandre and Vayatis, Nicolas}, journal={Advances in neural information processing systems}, volume={18}, year={2005}, }Square root penalty: adaptation to the margin in classification and in edge estimation
The annals of statistics, vol. 33, iss. 3, p. 1203–1224, 2005.
By A. B. Tsybakov and S. A. van de Geer@article{tsybakov2005square, title={Square root penalty: adaptation to the margin in classification and in edge estimation}, author={Tsybakov, Alexandre B and van de Geer, Sara A}, journal={The Annals of Statistics}, volume={33}, number={3}, pages={1203--1224}, year={2005}, publisher={Institute of Mathematical Statistics}, }
2004
Block thresholding and sharp adaptive estimation in severely ill-posed inverse problems
Theory of probability & its applications, vol. 48, iss. 3, p. 426–446, 2004.
By L. Cavalier, Y. Golubev, O. Lepski, and A. Tsybakov@article{cavalier2004block, title={Block thresholding and sharp adaptive estimation in severely ill-posed inverse problems}, author={Cavalier, Laurent and Golubev, Yu and Lepski, O and Tsybakov, Alexander}, journal={Theory of Probability & Its Applications}, volume={48}, number={3}, pages={426--446}, year={2004}, publisher={SIAM}, }Estimating the endpoint of a distribution in the presence of additive observation errors
Statistics & probability letters, vol. 68, iss. 1, p. 39–49, 2004.
By A. Goldenshluger and A. Tsybakov@article{goldenshluger2004estimating, title={Estimating the endpoint of a distribution in the presence of additive observation errors}, author={Goldenshluger, A and Tsybakov, Alexandre}, journal={Statistics & probability letters}, volume={68}, number={1}, pages={39--49}, year={2004}, publisher={Elsevier}, }Exact constants for pointwise adaptive estimation under the riesz transform
Probability theory and related fields, vol. 129, iss. 3, p. 441–467, 2004.
By J. Klemela and A. B. Tsybakov@article{klemela2004exact, title={Exact constants for pointwise adaptive estimation under the Riesz transform}, author={Klemela, Jussi and Tsybakov, Alexandre B}, journal={Probability theory and related fields}, volume={129}, number={3}, pages={441--467}, year={2004}, publisher={Springer}, }Nonparametric independent component analysis
Bernoulli, vol. 10, iss. 4, p. 565–582, 2004.
By A. Samarov and A. Tsybakov@article{samarov2004nonparametric, title={Nonparametric independent component analysis}, author={Samarov, Alexander and Tsybakov, Alexandre}, journal={Bernoulli}, volume={10}, number={4}, pages={565--582}, year={2004}, publisher={Bernoulli Society for Mathematical Statistics and Probability}, }Optimal aggregation of classifiers in statistical learning
The annals of statistics, vol. 32, iss. 1, p. 135–166, 2004.
By A. B. Tsybakov@article{tsybakov2004optimal, title={Optimal aggregation of classifiers in statistical learning}, author={Tsybakov, Alexander B}, journal={The Annals of Statistics}, volume={32}, number={1}, pages={135--166}, year={2004}, publisher={Institute of Mathematical Statistics}, }
2003
Optimal prediction for linear regression with infinitely many parameters
Journal of multivariate analysis, vol. 84, iss. 1, p. 40–60, 2003.
By A. Goldenshluger and A. Tsybakov@article{goldenshluger2003optimal, title={Optimal prediction for linear regression with infinitely many parameters}, author={Goldenshluger, Alexander and Tsybakov, Alexandre}, journal={Journal of Multivariate Analysis}, volume={84}, number={1}, pages={40--60}, year={2003}, publisher={Elsevier}, }
2002
Sharp adaptation for inverse problems with random noise
Probability theory and related fields, vol. 123, iss. 3, p. 323–354, 2002.
By L. Cavalier and A. Tsybakov@article{cavalier2002sharp, title={Sharp adaptation for inverse problems with random noise}, author={Cavalier, Laurent and Tsybakov, Alexandre}, journal={Probability Theory and Related Fields}, volume={123}, number={3}, pages={323--354}, year={2002}, publisher={Springer}, }Oracle inequalities for inverse problems
The annals of statistics, vol. 30, iss. 3, p. 843–874, 2002.
By L. Cavalier, G. Golubev, D. Picard, and A. Tsybakov@article{cavalier2002oracle, title={Oracle inequalities for inverse problems}, author={Cavalier, Laurent and Golubev, GK and Picard, Dominique and Tsybakov, AB}, journal={The Annals of Statistics}, volume={30}, number={3}, pages={843--874}, year={2002}, publisher={Institute of Mathematical Statistics}, }Testing hypotheses about contours in images
Journal of nonparametric statistics, vol. 14, iss. 1-2, p. 67–85, 2002.
By G. Gayraud and A. Tsybakov@article{gayraud2002testing, title={Testing hypotheses about contours in images}, author={Gayraud, G and Tsybakov, AB}, journal={Journal of Nonparametric Statistics}, volume={14}, number={1-2}, pages={67--85}, year={2002}, publisher={Taylor & Francis}, }
2001
Adaptive prediction and estimation in linear regression with infinitely many parameters
The annals of statistics, vol. 29, iss. 6, p. 1601–1619, 2001.
By A. Goldenshluger and A. Tsybakov@article{goldenshluger2001adaptive, title={Adaptive prediction and estimation in linear regression with infinitely many parameters}, author={Goldenshluger, Alexander and Tsybakov, Alexandre}, journal={The Annals of Statistics}, volume={29}, number={6}, pages={1601--1619}, year={2001}, publisher={Institute of Mathematical Statistics}, }Sharp adaptive estimation of linear functionals
The annals of statistics, vol. 29, iss. 6, p. 1567–1600, 2001.
By J. Klemela and A. B. Tsybakov@article{klemela2001sharp, title={Sharp adaptive estimation of linear functionals}, author={Klemela, Jussi and Tsybakov, Alexandre B}, journal={The Annals of Statistics}, volume={29}, number={6}, pages={1567--1600}, year={2001}, publisher={Institute of Mathematical Statistics}, }
2000
Asymptotically exact nonparametric hypothesis testing in sup-norm and at a fixed point
Probability theory and related fields, vol. 117, iss. 1, p. 17–48, 2000.
By O. V. Lepski and A. B. Tsybakov@article{lepski2000asymptotically, title={Asymptotically exact nonparametric hypothesis testing in sup-norm and at a fixed point}, author={Lepski, Oleg V and Tsybakov, Alexandre B}, journal={Probability Theory and Related Fields}, volume={117}, number={1}, pages={17--48}, year={2000}, publisher={Springer}, }On the best rate of adaptive estimation in some inverse problems
Comptes rendus de l'academie des sciences-series i-mathematics, vol. 330, iss. 9, p. 835–840, 2000.
By A. Tsybakov@article{tsybakov2000best, title={On the best rate of adaptive estimation in some inverse problems}, author={Tsybakov, Alexandre}, journal={Comptes Rendus de l'Academie des Sciences-Series I-Mathematics}, volume={330}, number={9}, pages={835--840}, year={2000}, publisher={Elsevier}, }
1999
Smooth discrimination analysis
The annals of statistics, vol. 27, iss. 6, p. 1808–1829, 1999.
By E. Mammen and A. B. Tsybakov@article{mammen1999smooth, title={Smooth discrimination analysis}, author={Mammen, Enno and Tsybakov, Alexandre B}, journal={The Annals of Statistics}, volume={27}, number={6}, pages={1808--1829}, year={1999}, publisher={Institute of Mathematical Statistics}, }
1998
Exact asymptotic minimax constants for the estimation of analytical functions in lp
Probability theory and related fields, vol. 112, iss. 1, p. 33–51, 1998.
By E. Guerre and A. B. Tsybakov@article{guerre1998exact, title={Exact asymptotic minimax constants for the estimation of analytical functions in Lp}, author={Guerre, Emmanuel and Tsybakov, Alexander B}, journal={Probability theory and related fields}, volume={112}, number={1}, pages={33--51}, year={1998}, publisher={Springer}, }Nonparametric vector autoregression
Journal of statistical planning and inference, vol. 68, iss. 2, p. 221–245, 1998.
By W. Hardle, A. Tsybakov, and L. Yang@article{hardle1998nonparametric, title={Nonparametric vector autoregression}, author={Hardle, Wolfgang and Tsybakov, Alexandre and Yang, Lijian}, journal={Journal of Statistical Planning and Inference}, volume={68}, number={2}, pages={221--245}, year={1998}, publisher={Elsevier}, }Pointwise and sup-norm sharp adaptive estimation of functions on the sobolev classes
The annals of statistics, vol. 26, iss. 6, p. 2420–2469, 1998.
By A. B. Tsybakov@article{tsybakov1998pointwise, title={Pointwise and sup-norm sharp adaptive estimation of functions on the Sobolev classes}, author={Tsybakov, Alexandre B}, journal={The Annals of Statistics}, volume={26}, number={6}, pages={2420--2469}, year={1998}, publisher={Institute of Mathematical Statistics}, }
1997
Local polynomial estimators of the volatility function in nonparametric autoregression
Journal of econometrics, vol. 81, iss. 1, p. 223–242, 1997.
By W. Hardle and A. Tsybakov@article{hardle1997local, title={Local polynomial estimators of the volatility function in nonparametric autoregression}, author={Hardle, Wolfgang and Tsybakov, Alexandre}, journal={Journal of econometrics}, volume={81}, number={1}, pages={223--242}, year={1997}, publisher={Elsevier}, }On nonparametric estimation of density level sets
The annals of statistics, vol. 25, iss. 3, p. 948–969, 1997.
By A. B. Tsybakov@article{tsybakov1997nonparametric, title={On nonparametric estimation of density level sets}, author={Tsybakov, Alexandre B}, journal={The Annals of Statistics}, volume={25}, number={3}, pages={948--969}, year={1997}, publisher={Institute of Mathematical Statistics}, }Asymptotically efficient signal estimation in l2 under the general loss functions
Problems of information transmission, vol. 33, iss. 1, pp. 78-88, 1997.
By A. B. Tsybakov@article{Tsybakov199794, author={Tsybakov, A.B.}, title={Asymptotically efficient signal estimation in L2 under the general loss functions}, journal={Problems of Information Transmission}, year={1997}, volume={33}, number={1}, pages={78-88}, }
1996
Asymptotically efficient estimation of analytic functions in gaussian noise
Bernoulli, , p. 167–181, 1996.
By Y. K. Golubev, B. Y. Levit, and A. B. Tsybakov@article{golubev1996asymptotically, title={Asymptotically efficient estimation of analytic functions in Gaussian noise}, author={Golubev, Yuri K and Levit, Boris Y and Tsybakov, Alexander B}, journal={Bernoulli}, pages={167--181}, year={1996}, publisher={JSTOR}, }Root-n consistent estimators of entropy for densities with unbounded support
Scandinavian journal of statistics, , p. 75–83, 1996.
By A. B. Tsybakov and E. C. van der Meulen@article{tsybakov1996root, title={Root-n consistent estimators of entropy for densities with unbounded support}, author={Tsybakov, Alexandre B and van der Meulen, Edward C}, journal={Scandinavian Journal of Statistics}, pages={75--83}, year={1996}, publisher={JSTOR}, }
1995
Estimation of non-sharp support boundaries
Journal of multivariate analysis, vol. 55, iss. 2, p. 205–218, 1995.
By W. Hardle, B. Park, and A. Tsybakov@article{hardle1995estimation, title={Estimation of non-sharp support boundaries}, author={Hardle, W and Park, BU and Tsybakov, AB}, journal={Journal of Multivariate Analysis}, volume={55}, number={2}, pages={205--218}, year={1995}, publisher={Elsevier}, }Additive nonparametric regression on principal components
Journaltitle of nonparametric statistics, vol. 5, iss. 2, p. 157–184, 1995.
By W. Hardle and A. Tsybakov@article{hardle1995additive, title={Additive nonparametric regression on principal components}, author={Hardle, Wolfgang and Tsybakov, AB}, journal={Journaltitle of Nonparametric Statistics}, volume={5}, number={2}, pages={157--184}, year={1995}, publisher={Taylor & Francis}, }Visual error criteria for qualitative smoothing
Journal of the american statistical association, vol. 90, iss. 430, p. 499–507, 1995.
By J. S. Marron and A. Tsybakov@article{marron1995visual, title={Visual error criteria for qualitative smoothing}, author={Marron, James Stephen and Tsybakov, AB}, journal={Journal of the American Statistical Association}, volume={90}, number={430}, pages={499--507}, year={1995}, publisher={Taylor & Francis}, }Nonparametric recursive variance estimation
Statistics: a journal of theoretical and applied statistics, vol. 27, iss. 1-2, p. 55–63, 1995.
By U. Stadtmüller and A. B. Tsybakov@article{stadtmuller1995nonparametric, title={Nonparametric recursive variance estimation}, author={Stadtm{\"u}ller, U and Tsybakov, Alexandre B}, journal={Statistics: A Journal of Theoretical and Applied Statistics}, volume={27}, number={1-2}, pages={55--63}, year={1995}, publisher={Taylor & Francis}, }
1994
Asymptotic efficiency in estimation of a convex set
Problemy peredachi informatsii, vol. 30, iss. 4, p. 33–44, 1994.
By A. P. Korostelev and A. B. Tsybakov@article{korostelev1994asymptotic, title={Asymptotic efficiency in estimation of a convex set}, author={Korostelev, Alexander P and Tsybakov, Aleksandr Borisovich}, journal={Problemy Peredachi Informatsii}, volume={30}, number={4}, pages={33--44}, year={1994}, publisher={Russian Academy of Sciences, Branch of Informatics, Computer Equipment and~…}, }
1993
Nonparametric recursive estimation in nonlinear arx models
Problems of information transmission, vol. 29, iss. 4, p. 318–327, 1993.
By P. Doukhan and A. B. Tsybakov@article{dukan1993nonparametric, title={Nonparametric Recursive Estimation in Nonlinear ARX Models}, author={Doukhan, P and Tsybakov, A B}, journal={Problems of Information Transmission}, volume={29}, number={4}, pages={318--327}, year={1993}, }How sensitive are average derivatives?
Journal of econometrics, vol. 58, iss. 1-2, p. 31–48, 1993.
By W. Hardle and A. B. Tsybakov@article{hardle1993sensitive, title={How sensitive are average derivatives?}, author={Hardle, Wolfgang and Tsybakov, Alexander B}, journal={Journal of Econometrics}, volume={58}, number={1-2}, pages={31--48}, year={1993}, publisher={Elsevier}, }Estimation of the density support and its functionals
Problemy peredachi informatsii, vol. 29, iss. 1, p. 3–18, 1993.
By A. P. Korostelev and A. B. Tsybakov@article{korostelev1993estimation, title={Estimation of the density support and its functionals}, author={Korostelev, Alexander P and Tsybakov, Aleksandr Borisovich}, journal={Problemy Peredachi Informatsii}, volume={29}, number={1}, pages={3--18}, year={1993}, publisher={Russian Academy of Sciences, Branch of Informatics, Computer Equipment and~…}, }
1992
Bandwidth choice for average derivative estimation
Journal of the american statistical association, vol. 87, iss. 417, p. 218–226, 1992.
By W. Hardle, J. Hart, J. S. Marron, and A. B. Tsybakov@article{hardle1992bandwidth, title={Bandwidth choice for average derivative estimation}, author={Hardle, Wolfgang and Hart, Jeffrey and Marron, James Stephen and Tsybakov, A B}, journal={Journal of the American Statistical Association}, volume={87}, number={417}, pages={218--226}, year={1992}, publisher={Taylor & Francis}, }Optimal and robust kernel algorithms for passive stochastic approximation
Ieee transactions on information theory, vol. 38, iss. 5, p. 1577–1583, 1992.
By A. V. Nazin, B. T. Polyak, and A. B. Tsybakov@article{nazin1992optimal, title={Optimal and robust kernel algorithms for passive stochastic approximation}, author={Nazin, Alexander V and Polyak, Boris T and Tsybakov, Alexandre B}, journal={IEEE transactions on information theory}, volume={38}, number={5}, pages={1577--1583}, year={1992}, publisher={IEEE}, }
1991
Sliced inverse regression for dimension reduction: comment
Journal of the american statistical association, vol. 86, iss. 414, p. 333–335, 1991.
By W. Hardle and A. B. Tsybakov@article{hardle1991sliced, title={Sliced inverse regression for dimension reduction: Comment}, author={Hardle, W and Tsybakov, Alexandre B}, journal={Journal of the American Statistical Association}, volume={86}, number={414}, pages={333--335}, year={1991}, publisher={JSTOR}, }Optimal rates of convergence of estimates in the stochastic problem of computerized tomography
Problemy peredachi informatsii, vol. 27, iss. 1, p. 92–103, 1991.
By A. P. Korostelev and A. B. Tsybakov@article{korostelev1991optimal, title={Optimal Rates of Convergence of Estimates in the Stochastic Problem of Computerized Tomography}, author={Korostelev, Alexander P and Tsybakov, Aleksandr Borisovich}, journal={Problemy Peredachi Informatsii}, volume={27}, number={1}, pages={92--103}, year={1991}, publisher={Russian Academy of Sciences, Branch of Informatics, Computer Equipment and~…}, }Optimal convergence rates of estimates in probabilistic statement of tomography problem
Problemy peredachi informatsii, vol. 27, iss. 1, pp. 92-103, 1991.
By A. P. Korostelev and A. B. Tsybakov@article{Korostelev199192, author={Korostelev, A.P. and Tsybakov, A.B.}, title={Optimal convergence rates of estimates in probabilistic statement of tomography problem}, journal={Problemy Peredachi Informatsii}, year={1991}, volume={27}, number={1}, pages={92-103}, publisher={Russian Academy of Sciences, Branch of Informatics, Computer Equipment and~…}, }
1990
Optimal order of accuracy of search algorithms in stochastic optimization
Problems of information transmission, vol. 26, iss. 2, p. 126–133, 1990.
By B. T. Polyak and A. B. Tsybakov@article{polyak1990optimal, title={Optimal order of accuracy of search algorithms in stochastic optimization}, author={Polyak, B T and Tsybakov, A B}, journal={Problems of Information Transmission}, volume={26}, number={2}, pages={126--133}, year={1990}, }Locally-polynomial algorithms of passive stochastic approximation
Problems of control and information theory, vol. 19, iss. 3, p. 181–195, 1990.
By A. B. Tsybakov@article{tsybakov1990locally, author={Tsybakov, A.B.}, title={Locally-polynomial algorithms of passive stochastic approximation}, journal={Problems of control and information theory}, year={1990}, volume={19}, number={3}, pages={181--195}, publisher={PERGAMON-ELSEVIER SCIENCE LTD THE BOULEVARD, LANGFORD LANE, KIDLINGTON~…}, }Recursive estimation of the mode of a multivariate distribution
Problems of information transmission, vol. 26, iss. 1, p. 31–37, 1990.
By A. B. Tsybakov@article{tsybakov1990recursive, title={Recursive estimation of the mode of a multivariate distribution}, author={Tsybakov, A. B.}, journal={Problems of Information Transmission}, volume={26}, number={1}, pages={31--37}, year={1990}, }
1989
Optimal estimation accuracy of nonsmooth images
Problems of information transmission, vol. 25, iss. 3, p. 180–191, 1989.
By A. B. Tsybakov@article{tsybakov1989optimal, title={Optimal estimation accuracy of nonsmooth images}, author={Tsybakov, A. B.}, journal={Problems of Information Transmission}, volume={25}, number={3}, pages={180--191}, year={1989}, }
1987
Transmission accuracy of a continuous signal with binary quantization
Problems of information transmission, vol. 23, iss. 1, p. 56–65, 1987.
By A. B. Tsybakov@article{tsybakov1987transmission, title={Transmission Accuracy of a Continuous Signal with Binary Quantization}, author={Tsybakov, A. B.}, journal={Problems of Information Transmission}, volume={23}, number={1}, pages={56--65}, year={1987}, }
1986
Robust reconstruction of functions by the local-approximation method
Problems of information transmission, vol. 22, iss. 2, p. 133–146, 1986.
By A. B. Tsybakov@article{tsybakov1986robust, title={Robust reconstruction of functions by the local-approximation method}, author={Tsybakov, A B}, journal={Problems of Information Transmission}, volume={22}, number={2}, pages={133--146}, year={1986}, }
1985
Rate of convergence of nonparametric estimates of maximum-likelihood type
Problems of information transmission, vol. 21, iss. 4, p. 258–272, 1985.
By A. Nemirovskij, B. Polyak, and A. Tsybakov@article{nemirovskij1985rate, title={Rate of convergence of nonparametric estimates of maximum-likelihood type}, author={Nemirovskij, AS and Polyak, Boris and Tsybakov, AB}, journal={Problems of Information Transmission}, volume={21}, number={4}, pages={258--272}, year={1985}, }
1984
Signal processing by the nonparametric maximum-likelihood method
Problems, vol. 20, iss. 3, p. 177–192, 1984.
By A. S. Nemirovski, B. T. Polyak, and A. B. Tsybakov@article{nemirovski1984signal, title={Signal processing by the nonparametric maximum-likelihood method}, author={Nemirovski, A S and Polyak, B T and Tsybakov, A B}, journal={Problems}, volume={20}, number={3}, pages={177--192}, year={1984}, }
1982
Robust estimates of a function
Problems of information transmission, vol. 18, iss. 3, p. 190–201, 1982.
By A. B. Tsybakov@article{tsybakov1982robust, title={Robust estimates of a function}, author={Tsybakov, A B}, journal={Problems of Information Transmission}, volume={18}, number={3}, pages={190--201}, year={1982}, }Nonparametric signal estimation when there is incomplete information on the noise distribution
Problems of information transmission, vol. 18, iss. 2, p. 116–130, 1982.
By A. B. Tsybakov@article{tsybakov1982nonparametric, title={Nonparametric signal estimation when there is incomplete information on the noise distribution}, author={Tsybakov, A B}, journal={Problems of Information Transmission}, volume={18}, number={2}, pages={116--130}, year={1982}, }
1981
Error bounds for the method of minimization of empirical risk
Problems of information transmission, vol. 17, iss. 1, p. 33–42, 1981.
By A. B. Tsybakov@article{tsybakov1981error, title={Error bounds for the method of minimization of empirical risk}, author={Tsybakov, A B}, journal={Problems of Information Transmission}, volume={17}, number={1}, pages={33--42}, year={1981}, }