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“明理志远”学术讲坛2026年第六讲
- 来源：
- 学校官网
- 收录时间：
- 2026-07-21 03:02:57
- 时间：
- 2026-07-18 16:00:00
- 地点：
- 理学院334
- 报告人：
- Jong-Shi Pang
- 学校：
- -/-
- 关键词：
- Heaviside function, composite optimization, discontinuous optimization, integer programming, PIP method, quadratic programming, complementarity constraints
- 简介：
- A Heaviside function is an indicator function of a semi-infinite interval. A Heaviside composite function is a Heaviside function composed with a multivariate function that may be nonsmooth. This talk presents an introduction of this novel class of discontinuous optimization problems that borders on continuous and discrete optimization.
- -/- 9
报告介绍：
A Heaviside function is an indicator function of a semi-infinite interval. A Heaviside composite function is a Heaviside function composed with a multivariate function that may be nonsmooth. This talk presents an introduction of this novel class of discontinuous optimization problems that borders on continuous and discrete optimization. Among the rich applications of such problems, we mention one pertaining to classification and treatment with constraints solvable by an elementary yet novel progressive integer programming (PIP) method that can be applied broadly to many other problems, including indefinite quadratic programs and linear programs with linear complementarity constraints. Computational results demonstrate the excellent performance of the PIP idea and its superiority over a full integer programming approach.
报告人介绍：
Jong-Shi Pang, 南加州大学杰出教授、埃普斯坦家族讲席教授，美国国家工程院院士。主要研究复杂工程与经济系统数学建模、运筹优化、均衡规划、非合作博弈论及约束动态系统。他历任多所海外顶尖高校重要学术职务，曾任美国国家科学基金会项目主管、香港理工大学数学系学术顾问。作为ISI 数学类高被引学者、多项国际权威学会会士，他斩获冯诺依曼理论奖、丹齐格奖等顶级学术荣誉，发表高水平论文160余篇、出版4部高引用专著,长期担任国际顶级期刊主编及编委，在运筹优化领域享誉国际。
报告图片：
