哈尔滨工业大学

李建阁

发布日期:2024-05-10 浏览次数:

个人主页 Personal Website 新建主栏目 教育经历 名称 2011.08--2016.05:特拉华大学,数学,博士 2010.02--2011.05:特拉华大学,数学,硕士 2005.08--2009.07:哈尔滨工业大学,数学与应用数学,学士 工作经历 名称 2021.11--至今:哈尔滨工业大学,数学研究院,教授 2018.07--2021.08:希伯来大学,数学系,博士后 2017.01--2018.05:麻省理工学院,电子工程与计算机系,博士后 研究兴趣 名称 概率与分析 论文发表 名称 期刊论文: Long-term balanced allocation via thinning (with O. N. Feldheim and O. Gurel-Gurevich), Ann. Appl. Probab, 34 (1A), 795-850, 2024 Boolean functions: Noise stability, non-interactive correlation distillation, and mutual information (with M. Médard), IEEE Trans. Inform. Theory, 67(2): 778-789, February 2021 Concentration of information content for convex measures (with M. Fradelizi and M. Madiman), Electron. J. Probab. 25(20):1-22, 2020 Load balancing under d-thinning (with O. N. Feldheim), Electron. Commun. Probab. 25(1): 1-13, 2020 Further investigations of Rényi entropy power inequalities and an entropic characterization of s-concave densities (with A. Marsiglietti and J. Melbourne), Geometric Aspects of Functional Analysis – Israel Seminar 2017-2019, Volume II, pages 95-123, Lecture Notes in Mathematics 2266. Large deviations for conditional guesswork, Stat. Probab. Lett., 153: 7-14, 2019 Capacity-achieving guessing random additive noise decoding (GRAND) (with K. Duffy and M. Médard), IEEE Trans. Inform. Theory, 65(7): 4023-4040, July 2019 A combinatorial approach to small ball inequalities for sums and differences (with M. Madiman), Comb. Probab. Comput., 28(1):100-129, 2019 Rényi entropy power inequality and a reverse, Studia. Math., 242(3): 303-319, 2018 Entropies of weighted sums in cyclic groups and applications to polar codes (with E. Abbe and M. Madiman), Entropy, Special issue on “Entropy and Information Inequalities", 19(9), September 2017 A note on distribution-free symmetrization inequalities (with Z. Dong and W. V. Li), J. Theor. Probab., 28(3):958-967, 2015 会议论文(均包含在期刊论文中): Usable deviation bounds for the information content of convex measures (with M. Fradelizi and M. Madiman), In Proc. IEEE Intl. Symp. Inform. Theory., pp. 2258-2263, Los Angeles, USA, July 2020 Entropic central limit theorem for Rényi entropy (with A. Marsiglietti and J. Melbourne), In Proc. IEEE Intl. Symp. Inform. Theory., pp. 1137-1141, Paris, France, July 2019 Rényi entropy power inequalities for s-concave densities (with A. Marsiglietti and J. Melbourne), In Proc. IEEE Intl. Symp. Inform. Theory., pp. 2224-2228, Paris, France, July 2019 Further investigations of the maximum entropy of the sum of two dependent random variables (with J. Melbourne), In Proc. IEEE Intl. Symp. Inform. Theory., pp. 1969-1972, Vail, USA, July 2018 Boolean functions: noise stability, non-interactive correlation, and mutual information (with M. Médard), In Proc. IEEE Intl. Symp. Inform. Theory., pp. 266-270, Vail, USA, July 2018 Guessing noise, not code-words (with K. Duffy and M. Médard), In Proc. IEEE Intl. Symp. Inform. Theory., pp. 671-675, Vail, USA, July 2018 Information concentration for convex measures (with M. Fradelizi and M. Madiman), In Proc. IEEE Intl. Symp. Inform. Theory., pp. 1128-1132, Barcelona, Spain, July 2016 About me 名称 I am a faculty member in the Institute for Advanced Study in Mathematics of the Harbin Institute of Technology. Previously, I was a post-doctoral fellow hosted by Dr. Ori Gurel-Gurevich and Dr. Ohad Noy Feldheim in the Einstein Institute of Mathematics of the Hebrew University of Jerusalem. Before that, I worked with Prof. Muriel Médard at the Research Laboratory of Electronics at MIT. I obtained my Ph.D. degree in mathematics under the supervision of Prof. Wenbo Li [Memorial, Obituary] and Prof. Mokshay Madiman from the University of Delaware. I can be reached at jiange.li@hit.edu.cn. Research interests 名称 My research interests lie at the interface between analysis and probability, such as information-theoretic inequalities, high-dimensional phenomena in probability theory and convex geometry, geometric functional inequalities, and the analysis of Boolean functions. Publications and preprints 名称 Journal publications: Long-term balanced allocation via thinning (with O. N. Feldheim and O. Gurel-Gurevich), Ann. Appl. Probab, 34 (1A), 795-850, 2024 Boolean functions: Noise stability, non-interactive correlation distillation, and mutual information (with M. Médard), IEEE Trans. Inform. Theory, 67(2): 778-789, February 2021 Concentration of information content for convex measures (with M. Fradelizi and M. Madiman), Electron. J. Probab. 25(20):1-22, 2020 Load balancing under d-thinning (with O. N. Feldheim), Electron. Commun. Probab. 25(1): 1-13, 2020 Further investigations of Rényi entropy power inequalities and an entropic characterization of s-concave densities (with A. Marsiglietti and J. Melbourne), Geometric Aspects of Functional Analysis – Israel Seminar 2017-2019, Volume II, pages 95-123, Lecture Notes in Mathematics 2266. Large deviations for conditional guesswork, Stat. Probab. Lett., 153: 7-14, 2019 Capacity-achieving guessing random additive noise decoding (GRAND) (with K. Duffy and M. Médard), IEEE Trans. Inform. Theory, 65(7): 4023-4040, July 2019 A combinatorial approach to small ball inequalities for sums and differences (with M. Madiman), Comb. Probab. Comput., 28(1):100-129, 2019 Rényi entropy power inequality and a reverse, Studia. Math., 242(3): 303-319, 2018 Entropies of weighted sums in cyclic groups and applications to polar codes (with E. Abbe and M. Madiman), Entropy, Special issue on “Entropy and Information Inequalities", 19(9), September 2017 A note on distribution-free symmetrization inequalities (with Z. Dong and W. V. Li), J. Theor. Probab., 28(3):958-967, 2015 Conference proceedings (all covered by their journal versions): Usable deviation bounds for the information content of convex measures (with M. Fradelizi and M. Madiman), In Proc. IEEE Intl. Symp. Inform. Theory., pp. 2258-2263, Los Angeles, USA, July 2020 Entropic central limit theorem for Rényi entropy (with A. Marsiglietti and J. Melbourne), In Proc. IEEE Intl. Symp. Inform. Theory., pp. 1137-1141, Paris, France, July 2019 Rényi entropy power inequalities for s-concave densities (with A. Marsiglietti and J. Melbourne), In Proc. IEEE Intl. Symp. Inform. Theory., pp. 2224-2228, Paris, France, July 2019 Further investigations of the maximum entropy of the sum of two dependent random variables (with J. Melbourne), In Proc. IEEE Intl. Symp. Inform. Theory., pp. 1969-1972, Vail, USA, July 2018 Boolean functions: noise stability, non-interactive correlation, and mutual information (with M. Médard), In Proc. IEEE Intl. Symp. Inform. Theory., pp. 266-270, Vail, USA, July 2018 Guessing noise, not code-words (with K. Duffy and M. Médard), In Proc. IEEE Intl. Symp. Inform. Theory., pp. 671-675, Vail, USA, July 2018 Information concentration for convex measures (with M. Fradelizi and M. Madiman), In Proc. IEEE Intl. Symp. Inform. Theory., pp. 1128-1132, Barcelona, Spain, July 2016

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