An operadic structure on supermoduli spaces
Abstract: The operadic structure on the moduli spaces of algebraic curves encodes in a combinatorial way how nodal curves in the boundary can be obtained by glueing smooth curves along marked […]
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Compactification of an embedded vector space and its combinatorics
Abstract: Matroids are combinatorial abstractions of vector spaces embedded in a coordinate space. Many fundamental questions have been open for these classical objects. We highlight some recent progress that arise from the […]
The space of vector bundles on spheres: algebra, geometry, topology
Abstract: Bott periodicity relates vector bundles on a topological space X to vector bundles on X “times a sphere”. I’m not a topologist, so I will try to explain an algebraic […]
SIMPLEs: a single-cell RNA sequencing imputation strategy preserving gene modules and cell clusters variation
Abstract: A main challenge in analyzing single-cell RNA sequencing (scRNA-seq) data is to reduce technical variations yet retain cell heterogeneity. Due to low mRNAs content per cell and molecule losses during […]
Secure Multi-Party Computation: from Theory to Practice
Abstract: Encryption is the backbone of cybersecurity. While encryption can secure data both in transit and at rest, in the new era of ubiquitous computing, modern cryptography also aims to […]
Intersection number and systole on hyperbolic surfaces
Abstract: Let X be a compact hyperbolic surface. We can see that there is a constant C(X) such that the intersection number of the closed geodesics is \leq C(X) times the […]
Qianfang: a type-safe and data-driven healthcare system starting from Traditional Chinese Medicine
Abstract: Although everyone talks about AI + healthcare, many people were unaware of the fact that there are two possible outcomes of the collaboration, due to the inherent dissimilarity between the […]
Geometric Models for Sets of Probability Measures
Abstract: Many statistical and computational tasks boil down to comparing probability measures expressed as density functions, clouds of data points, or generative models. In this setting, we often are unable to […]
The geometry of conditional independence models with hidden variables
Abstract: Conditional independence (CI) is an important tool instatistical modeling, as, for example, it gives a statistical interpretation to graphical models. In general, given a list of dependencies among random variables, […]
Extinction and coexistence for reaction-diffusion systems on metric graphs
Abstract: In spatial population genetics, it is important to understand the probability of extinction in multi-species interactions such as growing bacterial colonies, cancer tumor evolution and human migration. This is because […]
Fast Point Transformer
Abstract: The recent success of neural networks enables a better interpretation of 3D point clouds, but processing a large-scale 3D scene remains a challenging problem. Most current approaches divide a large-scale […]
Surface hopping algorithms for non-adiabatic quantum systems
Interdisciplinary Science Seminar Speaker: Jianfeng Lu, Duke UniversityTitle: Surface hopping algorithms for non-adiabatic quantum systems Abstract: Surface hopping algorithm is widely used in chemistry for mixed quantum-classical dynamics. In this talk, […]