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机组组合(UC)作为电力系统优化运行的基本问题之一,其模型的质量严重影响着求解器的求解效率,如何建立高质量的UC问题模型则成为近年研究的热点。为此,我们从大规模电力系统UC问题的模型、算法和应用方面展开研究,主要内容包括:针对单机组组合(1UC)问题,基于Facet、凸包以及动态规划相关理论,研究全新的1UC问题统一建模框架,给出1UC问题一系列适用于不同场景、不同算法的高质量模型;基于滑动窗口、...
Sparsity is a naturally occurring characteristic in many real-world applications including signal denoising, outlier detection, and finance. On one hand, sparsity assumption allows people to tackle in...
In this talk, I begin with a review of different geometric flows (PDEs) including mean curvature (curve shortening) flow,surface diffusion flow, Willmore flow, etc., which arise from materials science...
In this talk, we will revisit Grothendieck's theory of Grassmannians and flag schemes and the theory of Schur and Weyl module functors studied in $GL_n$-representation theory from theperspective of de...
We will introduce the sublinear expander and cover some applications of sublinear expander. Given a graph H, a balanced subdivision of H is a graph obtained from H by subdividing every edge the same n...
When two balls in a metric space have small intersection? We give some natural conditions to guarantee an exponential decay on the volume of such intersections. Our proof is conceptually simple, makin...
近日,柔性电子(未来技术)学院黄维院士、林进义教授团队在超分子掺杂策略调控有机半导体性能研究取得重要进展,相关成果(“Photoexcitation dynamics and energy engineering in supramolecular doping of organic conjugated molecules”)发表在光学工程领域权威期刊Light: Science & Appli...
Siegel zeros are real zeros of L-functions that are very close to 1, the non-existence of which was conjectured as a direct consequence of the Grand Riemann Hypothesis (GRH). In this talk, we will sta...
In this talk, we give an example to illustrate how to use the hypergraph regularity lemmas. The absorbing method due to R?dl, Schacht and Szemerédi is a powerful tool in proving hypergraph Hamilton cy...
In this talk, we first introduce the definitions of equitable partitions and state the hypergraph regularity lemma due to R?dl and Schacht. Then, we give the conception of reduced hypergraphs and its ...
Hypergraph regularity lemmas are generalizations of Szemerédi's regularity lemma for graphs, which has been proved to be a powerful tool with many subsequent. In this talk, we first give a brief intro...
This talk is concerned with the controllability, observability and inverse problems for two types of stochastic partial differential equations, which are degenerate/singular stochastic parabolic equat...
With the advantages of fast calculating speed and high precision, the physics-informed neural network method opens up a new approach for numerically solving nonlinear partial differential equations. B...
Networks arise in many areas of research and applications, which come in all shapes and sizes. The most studied and best understood are static network models. Many other network models are also in exi...
In this talk, we will review the past developments on the solutions of the compressible Navier-Stokes equations and reveal the three hidden structures which linked the weak solution to the strong one....

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