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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Distributed sparse identification theory and method
分布式 稀疏识别 理论方法
2023/11/29
In this talk, we will consider the distributed sparse identification problem over wireless sensor networks such that all sensors cooperatively estimate the unknown sparse parameter vector of stochasti...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Signature-based standard basis algorithm under the framework of GVW algorithm
GVW算法框架 基于签名 标准基算法
2023/11/29
The Grobner basis for a zero-dimensional polynomial ideal comprises a univariate polynomial in the least variable. The elimination process in Buchberger's algorithm unnecessarily involves the least va...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some new algorithm developments on highly stiff stable schemes and on a SAV based approach for optimization problems
高刚性稳定方案 基于SAV 优化方法 新算法发展
2023/11/29
In the first part, I shall present a new way to construct highly stiff stable schemes. Traditional time discretization schemes are usually based on Taylor expansions at $t_{n+\beta}$ with $\beta\in [0...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Structural Utilization in Learing to Optimize
学习优化 结构利用 人工智能
2023/11/13
AI领域发展迅速，今天看似先进的大模型，几年后可能会被视为落后的小模型。然而，无论技术如何演化，基于第一性原则的结论却能长久有效。在这个报告中，我们将研究如何利用神经网络进行一阶法加速和求解混合整数优化问题，并通过数学推导得到神经网络所必须具备的结构，从而起到简化训练并提升稳定性的作用。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Accelerating Decentralized Deep Training with Sparse and Effective Topologies
稀疏有效 拓扑加速 分散式 深度训练
2023/11/13
Decentralized optimization algorithms save remarkable communication overheads in distributed deep learning since each node averages locally with neighbors. The network topology connecting all nodes de...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：心脑血管健康泛在感知与智能计算
心脑血管健康 泛在感知 智能计算
2023/12/11
心脑血管急性事件70%发生在医院以外，其短期预测与防控是临床中的最大挑战，主要难点在于全天候连续健康信息获取难、多维度大数据挖掘精度不足。本研究面向心脑血管健康状态的全生命周期泛在感知、智能诊断、精准预测等多学科交叉的难点问题，应用医学知识驱动的人工智能技术，系统研究了多种生理信号“无感”检测的新理论，推动全天候监测的智能可穿戴设备研制；提出了可穿戴心电、血流动力学特征的智能计算和诊断算法，融合心...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：经济学计算机化简介
经济学 计算机化 经济学数学化
2023/5/18
本文提出了经济学计算机化这一新观念，从范式角度分析了经济学数学化与经济学计算机化的联系与区别，简介了计算机算法和算法有效性等概念，简要分析了先驱人物和有关机构对经济学计算机化的影响。本文还考察了几种典型计算机算法对经济理论的影响，分析了计算机对生活方式和生产方式的变革怎样影响到经济学发展，推测了经济学计算机化的未来发展方向。此外，本文还介绍了用计算机算法分析从众行为的案例。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Subsampling for Rare Events Data and maximum sampled conditional likelihood
罕见事件数据 子采样 最大采样 条件似然
2023/5/15
In this talk, we show that the available information about unknown parameters in rare events data is only tied to the relatively small number of cases, which justifies the usage of negative sampling. ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：过拟合神经网络的泛化能力
过拟合 神经网络 泛化能力
2023/5/17
我们考虑梯度下降法训练的较宽的深层全连接神经网络的泛化能力。 我们首先将论证在宽度足够大时，对于一维数据，由梯度下降训练的两层神经网络的泛化能力在适当的早停策略下可以达到极小极大率,而由梯度下降训练至过拟合的两层神经网络没有泛化能力。基于这个结果，我们对Benign Overfitting现象提出了一个新的解释。 随后，对于更一般的数据或者高维数据，我们将会简单介绍一下我们组与深层神经网络的泛化能...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：飞机轨迹的预测算法
飞机轨迹 预测算法 神经网络
2023/5/4
Using knowledge-driven trajectory prediction is difficult to describe complex reasoning processes, and the use of expert prior knowledge can add too many subjective factors to the judgment process, wh...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：增量投入产出模型及其应用研究
增量 投入产出模型 应用
2023/4/25
首先论述增量投入产出模型的性质、经济含义与现行投入产出模型的比较及优势。其次，分析增量投入产出模型测算的各部门变动率、增长率、贡献率、弹性系数等指标的联系和作用。三是分析增量分解模型的软投入贡献原理和意义。四是以河北省为例，通过编制增量投入产出序列表，建立测度指标体系，对该地区经济发展质量进行评估，揭示其发展动因和效果。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：计算机图形学中的非线性方程求根计算
计算机图形学 非线性方程 求根计算
2023/4/25
计算机图形学中的求交、最近距离计算、碰撞检测等问题，涉及到非线性方程或方程组的求根。首先针对单变量非线性方程的求根计算，提出了一种基于插值的多项式包围盒构造方法，可用于快速排除不含根的小区间。其次，为了简化逼近函数后得到的方程组，采用了有理多项式逼近的思想，改进了相应的收敛阶。最后，将上述思路推广到多变量非线性方程组的求解。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Computation and Design of Electrochemical Energy Storage Materials
电化学 储能材料 计算设计
2023/4/25
The key to electrochemical energy storage systems such as Li/Na-ion batteries is materials. The traditional method for exploring new materials is trial-and-error, which often takes a dozen years durin...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：量子人工智能前沿进展
量子 人工智能 前沿进展
2023/4/23
Quantum artificial intelligence (Quantum AI) is an emergent interdisciplinary field that explores the interplay between artificial intelligence and quantum physics. On the one hand, judiciously design...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Building private information retrieval schemes over binary fields
二进制字段 私有信息 检索方案
2023/4/21
The private information retrieval (PIR) problem was first proposed by Chor et al. in 1995, and it is a canonical problem in the study of privacy issues that arise from the retrieval of information fro...