Arnak DALALYAN


Arnak DALALYAN
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2022

  • Optimal detection of the feature matching map in presence of noise and outliers

    Electronic journal of statistics, vol. 16, iss. 2, pp. 5720-5750, 2022.
    By T. Galstyan, A. Minasyan, and A. S. Dalalyan

    [DOI] [Bibtex]

    @article{Galstyan20225720,
    author={Galstyan, T. and Minasyan, A. and Dalalyan, A.S.},
    title={Optimal detection of the feature matching map in presence of noise and outliers},
    journal={Electronic Journal of Statistics},
    year={2022},
    volume={16},
    number={2},
    pages={5720-5750},
    doi={10.1214/22-EJS2076},
    url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85140829908&doi=10.1214%2f22-EJS2076&partnerID=40&md5=04bd58a4824afadb06bcbf472862b9c5},
    publisher={Institute of Mathematical Statistics},
    }

2020

  • On sampling from a log-concave density using kinetic langevin diffusions

    Bernoulli, vol. 26, iss. 3, pp. 1956-1988, 2020.
    By A. S. Dalalyan and L. Riou-Durand

    [DOI] [Bibtex]

    @article{Dalalyan20201956,
    author={Dalalyan, A.S. and Riou-Durand, L.},
    title={On sampling from a log-concave density using kinetic Langevin diffusions},
    journal={Bernoulli},
    year={2020},
    volume={26},
    number={3},
    pages={1956-1988},
    doi={10.3150/19-BEJ1178},
    url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85091155335&doi=10.3150%2f19-BEJ1178&partnerID=40&md5=170cd248a1b45eb650ce382d250f1ca2},
    publisher={International Statistical Institute},
    }
  • Confidence regions and minimax rates in outlier-robust estimation on the probability simplex

    Electronic journal of statistics, vol. 14, iss. 2, pp. 2653-2677, 2020.
    By A. -H. Bateni and A. S. Dalalyan

    [DOI] [Bibtex]

    @article{Bateni20202653,
    author={Bateni, A.-H. and Dalalyan, A.S.},
    title={Confidence regions and minimax rates in outlier-robust estimation on the probability simplex},
    journal={Electronic Journal of Statistics},
    year={2020},
    volume={14},
    number={2},
    pages={2653-2677},
    doi={10.1214/20-EJS1731},
    url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85088169633&doi=10.1214%2f20-EJS1731&partnerID=40&md5=fe9fb9cd08e5148bae142ae99b9217bd},
    publisher={Institute of Mathematical Statistics},
    }
  • Exponential weights in multivariate regression and a low-rankness favoring prior

    Annales de l'institut henri poincare (b) probability and statistics, vol. 56, iss. 2, pp. 1465-1483, 2020.
    By A. S. Dalalyan

    [DOI] [Bibtex]

    @article{Dalalyan20201465,
    author={Dalalyan, A.S.},
    title={Exponential weights in multivariate regression and a low-rankness favoring prior},
    journal={Annales de l'institut Henri Poincare (B) Probability and Statistics},
    year={2020},
    volume={56},
    number={2},
    pages={1465-1483},
    doi={10.1214/19-AIHP1010},
    url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85082518536&doi=10.1214%2f19-AIHP1010&partnerID=40&md5=88723744a0472d1726f079dbaf4c47ea},
    publisher={Institute of Mathematical Statistics},
    }

2019

  • User-friendly guarantees for the langevin monte carlo with inaccurate gradient

    Stochastic processes and their applications, vol. 129, iss. 12, pp. 5278-5311, 2019.
    By A. S. Dalalyan and A. Karagulyan

    [DOI] [Bibtex]

    @article{Dalalyan20195278,
    author={Dalalyan, A.S. and Karagulyan, A.},
    title={User-friendly guarantees for the Langevin Monte Carlo with inaccurate gradient},
    journal={Stochastic Processes and their Applications},
    year={2019},
    volume={129},
    number={12},
    pages={5278-5311},
    doi={10.1016/j.spa.2019.02.016},
    url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85062981328&doi=10.1016%2fj.spa.2019.02.016&partnerID=40&md5=ec48fdd466f9029a7bd9b2e7af8d979c},
    publisher={Elsevier B.V.},
    }
  • Multidimensional linear functional estimation in sparse gaussian models and robust estimation of the mean

    Electronic journal of statistics, vol. 13, iss. 2, pp. 2830-2864, 2019.
    By O. Collier and A. S. Dalalyan

    [DOI] [Bibtex]

    @article{Collier20192830,
    author={Collier, O. and Dalalyan, A.S.},
    title={Multidimensional linear functional estimation in sparse Gaussian models and robust estimation of the mean},
    journal={Electronic Journal of Statistics},
    year={2019},
    volume={13},
    number={2},
    pages={2830-2864},
    doi={10.1214/19-EJS1590},
    url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85073359975&doi=10.1214%2f19-EJS1590&partnerID=40&md5=aedccb3278835c8bc811ca0df47b5984},
    publisher={Institute of Mathematical Statistics},
    }

2018

  • On the exponentially weighted aggregate with the laplace prior

    Annals of statistics, vol. 46, iss. 5, pp. 2452-2478, 2018.
    By A. S. Dalalyan, E. Grappin, and Q. Paris

    [DOI] [Bibtex]

    @article{Dalalyan20182452,
    author={Dalalyan, A.S. and Grappin, E. and Paris, Q.},
    title={On the exponentially weighted aggregate with the laplace prior},
    journal={Annals of Statistics},
    year={2018},
    volume={46},
    number={5},
    pages={2452-2478},
    doi={10.1214/17-AOS1626},
    url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85052610806&doi=10.1214%2f17-AOS1626&partnerID=40&md5=b2c02b889f4fa84d107838e03f2e7497},
    publisher={Institute of Mathematical Statistics},
    }
  • On the prediction loss of the lasso in the partially labeled setting

    Electronic journal of statistics, vol. 12, iss. 2, pp. 3443-3472, 2018.
    By P. C. Bellec, A. S. Dalalyan, E. Grappin, and Q. Paris

    [DOI] [Bibtex]

    @article{Bellec20183443,
    author={Bellec, P.C. and Dalalyan, A.S. and Grappin, E. and Paris, Q.},
    title={On the prediction loss of the lasso in the partially labeled setting},
    journal={Electronic Journal of Statistics},
    year={2018},
    volume={12},
    number={2},
    pages={3443-3472},
    doi={10.1214/18-EJS1457},
    url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85063375588&doi=10.1214%2f18-EJS1457&partnerID=40&md5=9bdab6eedcbae99bf9fbf0a7d604a57c},
    publisher={Institute of Mathematical Statistics},
    }

2017

  • On the prediction performance of the lasso

    Bernoulli, vol. 23, iss. 1, pp. 552-581, 2017.
    By A. S. Dalalyan, M. Hebiri, and J. Lederer

    [DOI] [Bibtex]

    @article{Dalalyan2017552,
    author={Dalalyan, A.S. and Hebiri, M. and Lederer, J.},
    title={On the prediction performance of the Lasso},
    journal={Bernoulli},
    year={2017},
    volume={23},
    number={1},
    pages={552-581},
    doi={10.3150/15-BEJ756},
    url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84991786871&doi=10.3150%2f15-BEJ756&partnerID=40&md5=58154c2dae197087a07bbcbc9798eb03},
    publisher={International Statistical Institute},
    }

2016

  • On estimation of the diagonal elements of a sparse precision matrix

    Electronic journal of statistics, vol. 10, iss. 1, pp. 1551-1579, 2016.
    By S. Balmand and A. S. Dalalyan

    [DOI] [Bibtex]

    @article{Balmand20161551,
    author={Balmand, S. and Dalalyan, A.S.},
    title={On estimation of the diagonal elements of a sparse precision matrix},
    journal={Electronic Journal of Statistics},
    year={2016},
    volume={10},
    number={1},
    pages={1551-1579},
    doi={10.1214/16-EJS1148},
    url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84973351698&doi=10.1214%2f16-EJS1148&partnerID=40&md5=0d87b2626caf9d456d3e00d4eec252f7},
    publisher={Institute of Mathematical Statistics},
    }
  • Minimax rates in permutation estimation for feature matching

    Journal of machine learning research, vol. 17, 2016.
    By O. Collier and A. S. Dalalyan

    [Bibtex]

    @article{Collier2016,
    author={Collier, O. and Dalalyan, A.S.},
    title={Minimax rates in permutation estimation for feature matching},
    journal={Journal of Machine Learning Research},
    year={2016},
    volume={17},
    url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84962408596&partnerID=40&md5=b764c60aedeb371c5686be2acc2c6ad2},
    publisher={Microtome Publishing},
    }

2015

  • Curve registration by nonparametric goodness-of-fit testing

    Journal of statistical planning and inference, vol. 162, pp. 20-42, 2015.
    By O. Collier and A. S. Dalalyan

    [DOI] [Bibtex]

    @article{Collier201520,
    author={Collier, O. and Dalalyan, A.S.},
    title={Curve registration by nonparametric goodness-of-fit testing},
    journal={Journal of Statistical Planning and Inference},
    year={2015},
    volume={162},
    pages={20-42},
    doi={10.1016/j.jspi.2015.02.004},
    url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84925292554&doi=10.1016%2fj.jspi.2015.02.004&partnerID=40&md5=7f1918c8e66e25898721c455473305b9},
    publisher={Elsevier B.V.},
    }

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

    [DOI] [Bibtex]

    @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},
    }

2013

  • Permutation estimation and minimax matching thresholds

    Journal of machine learning research, vol. 31, pp. 10-19, 2013.
    By O. Collier and A. Dalalyan

    [Bibtex]

    @article{Collier201310,
    author={Collier, O. and Dalalyan, A.},
    title={Permutation estimation and minimax matching thresholds},
    journal={Journal of Machine Learning Research},
    year={2013},
    volume={31},
    pages={10-19},
    url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84954235621&partnerID=40&md5=54d4279fe09db8ac95e2a6ea879eb925},
    publisher={Microtome Publishing},
    }

2012

  • Mirror averaging with sparsity priors

    Bernoulli, vol. 18, iss. 3, pp. 914-944, 2012.
    By A. S. Dalalyan and A. B. Tsybakov

    [DOI] [Bibtex]

    @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},
    }
  • Socp based variance free dantzig selector with application to robust estimation

    Comptes rendus mathematique, vol. 350, iss. 15-16, pp. 785-788, 2012.
    By A. S. Dalalyan

    [DOI] [Bibtex]

    @article{Dalalyan2012785,
    author={Dalalyan, A.S.},
    title={SOCP based variance free Dantzig Selector with application to robust estimation},
    journal={Comptes Rendus Mathematique},
    year={2012},
    volume={350},
    number={15-16},
    pages={785-788},
    doi={10.1016/j.crma.2012.09.016},
    url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84867329277&doi=10.1016%2fj.crma.2012.09.016&partnerID=40&md5=78ab3230a27ba094a2a44c51b6e7ee42},
    }
  • Sharp oracle inequalities for aggregation of affine estimators

    Annals of statistics, vol. 40, iss. 4, pp. 2327-2355, 2012.
    By A. S. Dalalyan and J. Salmon

    [DOI] [Bibtex]

    @article{Dalalyan20122327,
    author={Dalalyan, A.S. and Salmon, J.},
    title={Sharp oracle inequalities for aggregation of affine estimators},
    journal={Annals of Statistics},
    year={2012},
    volume={40},
    number={4},
    pages={2327-2355},
    doi={10.1214/12-AOS1038},
    url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84884954887&doi=10.1214%2f12-AOS1038&partnerID=40&md5=4c1292bdc2a917a672f782ebb18cde6d},
    publisher={Institute of Mathematical Statistics},
    }

2008

  • 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

    [DOI] [Bibtex]

    @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},
    }

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

    [Bibtex]

    @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},
    }