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本发明提出了一种基于生物知识和网络拓扑结构的药物重定位方法和系统，包括网络构建模块、特征学习模块、模型训练模块、药物重定位模块以及结果展示模块，其中，所述网络构建模块将生物网络数据构建为异构信息网络，特征学习模块执行服务器计算指令，获得药物和疾病的生物特征矩阵和网络特征矩阵，模型训练模块获取输入参数后在服务器中训练药物发现模型，药物重定位模块在得到药物重定位模型后执行药物重定位指令，最后将药物重定...
基于区间拓扑分析的参数曲面保拓扑的求交
区间拓扑分析 参数曲面 保拓扑 求交
2023/12/13
Computing the intersection between two parametric surfaces (SSI) is one of the most fundamental problems in geometric and solid modeling. Maintaining the SSI topology is critical to its computation ro...
弗洛凯非阿贝尔拓扑绝缘体及多重体边对应（图）
弗洛凯非阿贝尔 拓扑绝缘体 多重体边对应
2023/11/6
拓扑物相在过去近二十年里受到理论和实验学家的广泛关注，成为凝聚态物理和量子模拟等领域的研究热点。基于体系的对称性和维度，拓扑绝缘体可以分为十个Atland-Zirnbauer类，系统的拓扑不变量由阿贝尔群元Z或者Z2给出。最近，人们发现某些对称保护拓扑相可以超越以上阿贝尔型分类。例如，当多个带隙耦合在一起时，同时具有时间与空间（PT）反演对称性时，一维绝缘体的拓扑不变量由非阿贝尔群表示。体系的拓扑...
Turning a circle into a square is possible with this kirigami-inspired formula（图）
kirigami 圆形 正方形 几何
2023/6/5
Kirigami takes pop-up books to a whole new level. The Japanese paper craft involves cutting patterns in paper to transform a two-dimensional sheet into an intricate, three-dimensional structure when p...
拓扑声学研究起源于利用声学人工结构实现凝聚态物理中复杂拓扑物理机制的过程。此后，拓扑声学为实现声场的定向调控提供了前景可观的新思路。然而，已有的研究大多基于凝聚态物理中贝里曲率的概念分析体系的拓扑性质，该方法已不再适用于具有各种复杂晶体对称性的声学拓扑结构。此外，声波作为经典波缺少限制拓扑态频率的对称性，导致大量的声学拓扑态湮灭在体连续谱中，从而无法被实验观测和调控利用。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：应用视角下的代数拓扑
应用视角 代数拓扑 复形三角剖分
2023/4/13
本报告从应用的视角对代数拓扑研究领域给予概述性介绍，报告将分三个部分。在第一部分，我们从单纯复形三角剖分入手，介绍代数拓扑在数据科学、复杂网络等研究领域应用的动态。在第二部分，我们将根据代数拓扑的基本问题（有限复形的同伦分类）展开讨论，了解代数拓扑的学科内涵，以及同伦群对代数拓扑的重要性。在报告的最后部分，我们将概述同伦群的一些研究成果。
This is a periodic series learning seminar organized by Koji Shimizu and Shizhang Li on prismatic F-gauges held on each Monday at MCM110. More info can be found on the website.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Unstable homotopy groups of indecomposable A_3^2-complexes
不可分解 A_3^2 配合物 不稳定 同伦群
2023/4/14
In this talk, I will introduce the methods for calculating the unstable homotopy groups of finite CW-complexes which builds on works of the relative James construction initiated by B. Gray in 1973 and...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stable commutator length and linear programming
换向器长度 线性规划 曲面 拓扑优化
2023/4/18
Several topological optimization problems involving surfaces can be turned into linear programming problems. In the case of stable commutator length, this was first discovered by Danny Calegari in the...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Topological optimization and the stable commutator length
拓扑优化 稳定换向器 长度
2023/4/19
It is a relatively recent discovery in geometric topology that optimization problems of certain topological complexity are connected to important geometric and topological information. One example is ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Topology optimization via implicit neural representations
隐式 神经表示 拓扑优化
2023/4/24
Along with the rapid development of artificial intelligence (AI) technology, scientific research enters a new era of AI. Topology optimization (TO) and AI technology are recently showing a growing tre...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Periodic Phenomena in homotopy theory
同伦理论 周期现象
2023/4/25
Chromatic homotopy theory uses the algebraic geometry of smooth 1-parameter formal groups to separate stable homotopy theory into periodic layers. The 1st layer recovers the image of Adams’ J homomorp...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Syntomic cohomology and (φ, Γ)-modules
同调 上同调 （φ，Γ）模块
2023/4/26
The goal of this talk is to compare the local Fontaine–Messing period map and the Lazard type period map [CN17, Thm. 4.16]. Since the notation for the general case is too heavy, you may focus on d = 1...
带有少量非分裂纤维的纤维簇的有理点（魏达盛）
非分裂纤维 纤维簇 有理点
2023/2/22
We revisit the abstract framework underlying the fibration method for producing rational points on the total space of fibrations over the projective line. By fine-tuning its dependence on external ari...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Suspension Homotopy of 4-manifolds And the Second 2-local Cohomotopy Sets
4-流形 悬浮同伦 第二个 2-局部 同伦集合
2023/4/28
In this talk we study the homotopy type of the (double) suspension of an orientable, closed, connected 4-manifold M, whose integral homology can have 2-torsion. Moreover, the decomposition results are...