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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Causal Inference based models and their applications in Banking
因果推理 模型 银行业
2023/11/29
Causal inference is a permanent challenge topic in statistics, data science, and many other applied fields. Existing machine learning methods often focus on the correlations in the data and ignore the...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Robust Generalization Requires Exponentially Large Models
鲁棒泛化 指数级大 模型
2023/5/15
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Transborder Spillover Effects of Poverty on Crime：Applying Spatial Econometric Models to Chinese Data
贫困对犯罪的跨境溢出效应——将空间计量模型应用于中国数据
2023/4/13
贫困是罪恶之源，但现有文献尚未探讨当地贫困对域外犯罪的影响。基于1992-2012年中国省级面板数据，本文通过估算空间计量模型，考察贫困的异地犯罪效应。结果发现，贫困不仅会增加本地犯罪，而且会提升其它省份犯罪案件。后者的这种溢出效应在地理位置较近、劳动力流动性大、方言相似度高的省市之间更为明显。此外，本文还检验了助力减贫的低保政策和加强警力投入对降低贫困导致的本地和异地犯罪的影响，发现两者都可以降...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Towards Provably Efficient Quantum Algorithms for Nonlinear Dynamics and Large-scale Machine Learning Models
非线性动力学 机器学习模型 高效量子算法
2023/4/13
Nonlinear dynamics play a prominent role in many domains and are notoriously difficult to solve. Whereas previous quantum algorithms for general nonlinear equations have been severely limited due to t...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Unit commitment problems and their compact and simple models, algorithms, and applications
Unit commitment problems 机组组合 电力系统优化
2023/4/14
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、...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Efficient algorithms for the anisotropic dendritic crystal models
各向异性 树枝状晶体 有效算法
2023/4/14
We consider numerical approximations of the anisotropic phase-field dendritic crystal growth model. This is a highly complex coupled nonlinear system consisting of the anisotropic Allen-Cahn equation,...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Analysis of score-based generative models
分数 生成 模型分析
2023/4/21
Score-based generative modeling (SGM) is a highly successful approach for learning a probability distribution from data and generating further samples, based on learning the score function (gradient o...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Bootstrap-based Statistical Analysis for Multi-period Data-driven Inventory Models with Seasonal Demand
自举 统计分析 季节性需求 多周期数据 驱动库存模型
2023/4/24
We study multi-period inventory control systems in which managers face seasonal demands with unknown distributions and make inventory decisions based on past demand data. It can be shown that a data-d...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Geometry of the Ricci flow singularity models
利玛窦流 奇点模型 几何形状
2023/4/25
The Ricci flow is a powerful tool in geometry to construct the canonical metric on a given manifold. It can be viewed as a nonlinear heat flow of the Riemannian metric and may develop finite time sing...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Optimization models and approaches for strictly correlated electrons
严格 相关电子 优化模型 方法
2023/4/25
In electronic structure calculations, Kohn-Sham equations rank among the most widely adopted mathematical models. However, due to the deficiency of available approximations for exchange-correlation en...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Fixed Effects Bayesian Testing in High-Dimensional Linear Mixed Models
高维 线性混合模型 固定效应 贝叶斯检验
2023/5/5
Hypothesis testing on high-dimensional fixed effects is indispensable for investigating the utility of the predictors on response. In this case, the conventional frequentist methods designed for cases...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Shape-on-Scalar Regression Models: Going Beyond Prealigned Non-Euclidean Responses
标量 形状回归模型 超越预先对齐 非欧几里得
2023/5/5
The problem of using covariates to predict shapes of objects in a regression setting is important in many fields. A formal statistical approach, termed geodesic regression model, is commonly used for ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Hidden structures behinds the compressible Navier-Stokes equations and its applications to the corresponding models
可压缩 纳维-斯托克斯方程 隐藏结构 相应模型应用
2023/5/6
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....
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Peakon Models II: Weak-kink, interactions with peakon, and Remedies
Peakon模型 弱扭结 相互作用 补救措施
2023/5/8
In the 2nd part of the series talks, I will introduce the new phenomena of weak-kink and its interaction with regular peakons which we recently developed. Such models include cubic Camassa-Holm (CH) t...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Peakon Models I: Scalar Form
标量形式 Peakon模型 标量峰值模型
2023/5/8
In this talk, I will majorly focus on the scalar peakon models developed in the last 30 years. Most integrable peakon equations come from the negative order flow in the hierarchy. I will take some exa...