多项式优化、全局优化、张量优化、实代数几何、半定规划、符号计算及其在运筹控制、量子信息、神经网络、人工智能、计算机视觉、电力系统、张量计算、数据处理、理论计算机、自动推理、信号处理、信息通讯、图形图像、数控技术、程序验证、金融数学、生物数学等领域的应用。更多信息请见个人主页：https://wangjie212.github.io/jiewang/。

   

070104-应用数学
070105-运筹学与控制论

多项式优化，实代数几何，半定规划，符号计算

2012-09--2017-07   中国科学院大学   博士学位
2008-09--2012-07   中国科学技术大学   学士学位

   

2021-06~现在, 中国科学院数学与系统科学研究院, 副研究员
2019-07~2021-06,法国国家科学中心, 博士后
2017-07~2019-06,北京大学, 博士后

   

[1] 王杰. CS-TSSOS: Correlative and term sparsity for large-scale polynomial optimization. ACM Transactions on Mathematical Software (TOMS)[J]. 2022, [2] Wang, Jie. Nonnegative Polynomials and Circuit Polynomials. SIAM JOURNAL ON APPLIED ALGEBRA AND GEOMETRY[J]. 2022, 6(2): 111-133, [3] Nils Vreman, Paolo Pazzaglia, Victor Magron, 王杰, Martina Maggio. Stability of Linear Systems under Extended Weakly-Hard Constraints. IEEE Control Systems Letters[J]. 2022, 6: 2900-2905, [4] Magron, Victor, Wang, Jie. SONC Optimization and Exact Nonnegativity Certificates via Second-Order Cone Programming. JOURNAL OF SYMBOLIC COMPUTATION[J]. 2021, [5] Jeffrey Uhlmann, 王杰. On Radically Expanding the Landscape of Potential Applications for Automated-Proof Methods. SN Computer Science[J]. 2021, 2(4): 1-9, [6] Wang, Jie, Magron, Victor, Lasserre, JeanBernard. CHORDAL-TSSOS: A MOMENT-SOS HIERARCHY THAT EXPLOITS TERM SPARSITY WITH CHORDAL EXTENSION. SIAM JOURNAL ON OPTIMIZATION[J]. 2021, 31(1): 114-141, http://dx.doi.org/10.1137/20M1323564.
[7] Tang, Xiaoxian, Wang, Jie. BISTABILITY OF SEQUESTRATION NETWORKS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B[J]. 2021, 26(3): 1337-1357, https://www.webofscience.com/wos/woscc/full-record/WOS:000606491700005.
[8] Wang, Jie, Maggio, Martina, Magron, Victor. SparseJSR: A Fast Algorithm to Compute Joint Spectral Radius via Sparse SOS Decompositions. 2021 American Control Conference (ACC)null. 2021, http://arxiv.org/abs/2008.11441.
[9] Wang, Jie, Magron, Victor, Lasserre, JeanBernard. TSSOS: A MOMENT-SOS HIERARCHY THAT EXPLOITS TERM SPARSITY. SIAM JOURNAL ON OPTIMIZATION[J]. 2021, 31(1): 30-58, http://dx.doi.org/10.1137/19M1307871.
[10] Wang, Jie, Magron, Victor. Exploiting Sparsity in Complex Polynomial Optimization. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS[J]. 2021, [11] Wang, Jie, Magron, Victor. Exploiting term sparsity in noncommutative polynomial optimization. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS[J]. 2021, 80(2): 483-521, http://dx.doi.org/10.1007/s10589-021-00301-7.
[12] Magron, Victor, Wang, Jie. TSSOS: a Julia library to exploit sparsity for large-scale polynomial optimization. MEGAnull. 2021, http://arxiv.org/abs/2103.00915.
[13] Wang, Jie. Systems of polynomials with at least one positive real zero. JOURNAL OF ALGEBRA AND ITS APPLICATIONS[J]. 2020, 19(10): https://www.webofscience.com/wos/woscc/full-record/WOS:000564523900002.
[14] Wang, Jie. Toric P-difference varieties. SCIENCE CHINA-MATHEMATICS[J]. 2020, 63(4): 643-670, http://lib.cqvip.com/Qikan/Article/Detail?id=7101618605.
[15] Wang Jie, Magron Victor. A second order cone characterization for sums of nonnegative circuits. 第45届国际符号和代数运算研讨会 (ISSAC)null. 2020, http://arxiv.org/abs/1906.06179.
[16] Wang, Jie, Li, Haokun, Xia, Bican. A New Sparse SOS Decomposition Algorithm Based on Term Sparsity. PROCEEDINGS OF THE 2019 ACM INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION (ISSAC '19)[J]. 2019, 347-354, http://dx.doi.org/10.1145/3326229.3326254.
[17] Wang, Jie. Finite basis for radical well-mixed difference ideals generated by binomials. COMMUNICATIONS IN ALGEBRA[J]. 2018, 46(6): 2589-2599, https://www.webofscience.com/wos/woscc/full-record/WOS:000428807400024.
[18] Wang, Jie. Difference indices of quasi-prime difference algebraic systems. JOURNAL OF SYMBOLIC COMPUTATION[J]. 2018, 87: 1-13, http://dx.doi.org/10.1016/j.jsc.2017.05.004.
[19] Gao XiaoShan, Huang Zhang, Wang Jie, Yuan ChunMing. Toric Difference Variety. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY[J]. 2017, 30(1): 173-195, http://ir.amss.ac.cn/handle/2S8OKBNM/46393, http://www.irgrid.ac.cn/handle/1471x/6870581, http://ir.amss.ac.cn/handle/2S8OKBNM/46394.
[20] 王杰. 差分代数中若干问题的研究. 2017, [21] Wang, Jie. MONOMIAL DIFFERENCE IDEALS. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY[J]. 2017, 145(4): 1481-1496, https://www.webofscience.com/wos/woscc/full-record/WOS:000395428100010.

   

（ 1 ） 陈景润未来之星, 负责人, 研究所自选, 2022-01--2024-12
（ 2 ） 符号数值混合计算在代数视觉中的应用, 参与, 国家任务, 2022-01--2025-12

（1）SONC锥的二阶锥表示   SIAM应用代数几何会议   2021-08-19
（2）在大规模多项式优化中利用稀疏性   SIAM优化会议   2021-07-21
（3）在非交换多项式优化中利用稀疏性   欧洲数学大会   2021-06-21
（4）在SOS规划和多项式优化中利用项稀疏性   国际连续优化会议   2019-08-06
（5）非负多项式与circuit多项式   SIAM应用代数几何会议   2019-07-13