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We consider the incompressible Euler equations in two or three dimensions and we show that the addition of a suitable multiplicative It? noise with superlinear growth prevents a smooth solution from b...
We continue to discuss the proof of the Allard regularity theorem. In the second presentation, we will focus on the harmonic approximation and the iteration argument for getting the decay of the tilt-...
In this talk, we discuss the approximation and computation for the linear and nonlinear eigenvalue problems in photonic crystals. We discretize the shifted Maxwell operator with edge finite elements a...
In this talk, we consider normalized solutions of nonlinear Schrodinger equations in the plane when the nonlinearity satisfies an exponential critical growth. To study the normalized solutions by usin...
In this talk, we shall use fill-in to give a new description of the positive mass theorem. By using this, we shall show that PMT on AH manifolds implies PMT on AF manifolds. This talk is based on the ...
We report the work of Boucksom-Demailly-Paun-Peternell, which shows that a holomorphic line bundle on a projective manifold is pseudoeffective iff its degree on any member of a covering family of curv...
Despite widespread use in online transactions, rating systems only provide summary statistics of buyers' diverse opinions at best. To investigate the consequences of this coarse form of information ag...
It is well-known that modern neural networks are vulnerable to adversarial examples. To mitigate this problem, a series of robust learning algorithms have been proposed. However, although the robust t...
This talk will introduce some topics related to the study of nonlinear Schr?dinger equation on metric graphs, and then show the existence result of concentrated solutions to NLS equations on compact g...
An LG model (M, f) is given by a noncompact complex manifold M and the holomorphic function f defined on it, which is an important model in string theory. Because of the mirror symmetry conjecture, th...
In this talk, a distributed stochastic gradient (SG) algorithm is proposed where the estimators are aimed to collectively estimate an unknown time-invariant parameter from a set of noisy measurements ...
反问题和正问题是成对出现的。通常,学术界将已知原因(输入)、过程(模型)而探求结果(输出)的一类问题称为正问题。与此相对应,就有了两种反问题:已知模型、输出求未知输入的“溯源”问题和已知输入、输出来反求模型(或模型参数)的系统辨识问题。在现实社会和人类生活中,反问题无处不在;在关系国家命脉的经济生产和国防军事领域中反问题更是随处可见。例如,与人类健康福祉密切相关的无痛无损伤、在体表进行测量的医学诊...
In this talk, I will give a survey of results related to the problem of computing Hausdorff dimension of various dynamically defined sets, such as singular vectors. The aim is to try to describe the l...
基于量子隧穿效应的量子退火技术是利用量子隧穿现象来优化问题解的一种方法。在量子退火中,通过调控量子系统的能量和耦合强度,利用量子隧穿效应来探索解空间,并寻找最优解。这种技术可以在优化问题中快速搜索全局最小值,相较于传统算法具有潜在的加速优势。本报告重点介绍一下基于超导电路实现超导量子退火技术,Ising模型、二次无约束二值优化QUBO 模型是指(Quadratic Unconstrained Bi...
Similar to the role of Markov decision processes in reinforcement learning, Markov games (also known as stochastic games) form the basis for the study of multi-agent reinforcement learning and sequenc...

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