布尔函数分析，2021-2024，南开大学百青计划

高维泛函不等式，2022-2024，国家自然科学基金青年基金

1. Lei Yu, “The Convexity and Concavity of Envelopes of the Minimum-Relative-Entropy Region for the DSBS,” Jun. 2021. [arxiv] [newest version] This paper resolves (the original version of) Ordentlich-Polyanskiy-Shayevitz’s conjecture in [link] and independently resolves Polyanskiy’s conjecture stated in [link].
2. Lei Yu, “On the Φ-Stability and Related Conjectures,” Apr. 2021. [arxiv] This paper partially resolves the Mossel-O’Donnell Conjecture, the Courtade-Kumar Conjecture, and the Li-Médard Conjecture.
3. Lei Yu, “Strong Brascamp-Lieb Inequalities,” Feb. 2021. [arxiv] [newest version] This paper, motivated by the works in [link] and [link], strengthens classic Brascamp-Lieb and hypercontractivity inequalities.
4. Lei Yu, Venkat Anantharam, and Jun Chen, “Graphs of Joint Types, Noninteractive Simulation, and Stronger Hypercontractivity,” Feb. 2021. [arxiv] This paper resolves a weaker version of Ordentlich-Polyanskiy-Shayevitz’s conjecture in [link]. Short version was accepted to ISIT 2021.
5. Lei Yu and Venkat Anantharam, “The Hypercontractivity Constant is the Largest Tensorized SDPI Constant for Binary Sources”, 2021.
6. Lei Yu and Venkat Anantharam, “Sequential Channel Synthesis”, 2021.
7. Lei Yu, “Edge-Isoperimetric Inequalities and Ball-Noise Stability: Linear Programming and Probabilistic Approaches,” Feb. 2020. [arxiv]
8. Lei Yu, “Asymptotics for Strassen’s Optimal Transport Problem,” Dec. 2019. [arxiv]
9. Lei Yu and Vincent Y. F. Tan, “On Non-Interactive Simulation of Binary Random Variables” IEEE Trans. Inf. Theory, Vol. 67, No. 4, Pages 2528 – 2538, Apr 2021. [arxiv] [slides] This paper resolves a problem posed by Elchanan Mossel in 2017.
10. Lei Yu and Vincent Y. F. Tan, “On exact and ∞-Rényi common informations,” IEEE Trans. Inf. Theory, Vol. 66, No. 6, Pages 3366 – 3406, Jun 2020. [arxiv] [slides] [slides] This paper resolves a problem posed by Kumar, Li, and El Gamal in 2014.
11. Lei Yu and Vincent Y. F. Tan, “Exact channel synthesis,” IEEE Trans. Inf. Theory, Vol. 66, No. 5, Pages 2299 – 2818, May 2020. [arxiv] [slides]
12. M. Baig, Lei Yu, Z. Xiong, A. Host-Madsen, H. Li, and W. Li, “On the Energy-Delay Tradeoff in Streaming Data: Finite Blocklength Analysis,” IEEE Trans. Inf. Theory, Vol. 66, No. 3, Pages 1861 – 1881, Mar 2020.
13. Lei Yu and Vincent Y. F. Tan, “Simulation of random variables under Rényi divergence measures of all orders,” IEEE Trans. Inf. Theory, Vol. 65, No. 6, Pages 3349 – 3383, Jun 2019. [link] [arxiv] [slides]
14. Lei Yu and Vincent Y. F. Tan, “Rényi resolvability and its applications to the wiretap channel,” IEEE Trans. Inf. Theory, Vol. 65, No. 3, Pages 1862– 1897, Mar 2019. [link] [arxiv]
15. Lei Yu and Vincent Y. F. Tan, “Asymptotic coupling and its applications in information theory,” IEEE Trans. Inf. Theory, Vol. 65, No. 3, Pages 1321– 1344, Mar 2019. [link] [arxiv] [slides] Conjecture 26 was disproved in [link]. Open Problem 1 was solved in [arxiv]. By using Kumagai-Hayashi’s proof ideas in [link], Open Problem 2 can be easily solved and Conjecture 25 can be easily disproved.
16. Lei Yu, Houqiang Li, and Weiping Li, “Distortion bounds for source broadcast problems,” IEEE Trans. Inf. Theory, vol. 64, no. 9, pp. 6034-6053, Sep. 2018. [link] [arxiv]
17. Lin Zhou, Vincent Y. F. Tan, Lei Yu and Mehul Motani, “Exponential strong converse for content identification with lossy recovery,” IEEE Trans. Inf. Theory, vol. 64, no. 8, pp. 5879-5897, Aug 2018. [link] [arxiv]
18. Lei Yu and Vincent Y. F. Tan, “Wyner’s common information under Rényi divergence measures,” IEEE Trans. Inf. Theory, vol. 64, no. 5, pp. 3616-3632, May 2018. [link] [arxiv] See Correction and New Converse in “Corrections to “Wyner’s Common Information under Rényi Divergence Measures”” IEEE Trans. Inf. Theory, Vol. 66, No. 4, Pages 2599 – 2608, Apr 2020
19. Jian Shen, Lei Yu, Li Li, and Houqiang Li, “Foveation based wireless soft image delivery,” IEEE Trans. Multimedia, vol. 20, no. 10, pp. 2788 – 2800, May 2018.
20. Lei Yu, Houqiang Li, and Weiping Li, “Joint source-channel secrecy using uncoded schemes: Towards secure source broadcast,” IEEE Trans. Inf. Theory, vol. 63, no. 11, pp. 7442-7463, Nov. 2017. [link] [arxiv]
21. Lei Yu, Houqiang Li, and Weiping Li, “Source-channel secrecy for Shannon cipher system,” IEEE Trans. Inf. Theory, vol. 63, no. 4, pp. 2596-2622, Apr. 2017. [link] [arxiv] [slides]
22. Lei Yu, Houqiang Li, and Weiping Li, “Comments on ‘Approximate characterizations for the Gaussian source broadcast distortion region’,” IEEE Trans. Inf. Theory, vol. 62, no. 10, pp. 5966-5969, Oct. 2016. [link] [arxiv]
23. Lei Yu, Houqiang Li, and Weiping Li, “Wireless cooperative video coding using a hybrid digital-analog scheme,” IEEE Trans. Circuits Syst. Video Technol., vol. 25, no. 3, pp. 436-450, Mar. 2015. [link] [pdf]
24. Lei Yu, Houqiang Li, and Weiping Li, “Wireless scalable video coding using a hybrid digital-analog scheme,” IEEE Trans. Circuits Syst. Video Technol., vol. 24, no. 2, pp. 331-345, Feb. 2014. [link] [pdf] [matlab-code]