1/27/2022 – Interdisciplinary Science Seminar
Title: Polynomials vanishing at lattice points in convex sets Abstract: Let P be a convex subset of R^2. For large d, what is the smallest degree r_d of a polynomial vanishing at […]
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2/3/2022 – Interdisciplinary Science Seminar
Title:Quasiperiodic prints from triply periodic blocks Abstract: Slice a triply periodic wooden sculpture along an irrational plane. If you ink the cut surface and press it against a page, the pattern […]
2/10/2022 – Interdisciplinary Science Seminar
Title: Metric Algebraic Geometry Abstract: A real algebraic variety is the set of points in real Euclidean space that satisfy a system of polynomial equations. Metric algebraic geometry is the study […]
Sparse Markov Models for High-dimensional Inference
Abstract: Finite order Markov models are theoretically well-studied models for dependent data. Despite their generality, application in empirical work when the order is larger than one is quite rare. Practitioners avoid […]
Singular Set in Obstacle Problems
Abstract: In this talk we describe a new method to study the singular set in the obstacle problem. This method does not depend on monotonicity formulae and works for fully […]
Towards Understanding Training Dynamics for Mildly Overparametrized Models
Abstract: While over-parameterization is widely believed to be crucial for the success of optimization for the neural networks, most existing theories on over-parameterization do not fully explain the reason — they […]
Virtual Teams in Gig Economy — An End-to-End Data Science Approach
Abstract: The gig economy provides workers with the benefits of autonomy and flexibility, but it does so at the expense of work identity and co-worker bonds. Among the many reasons why […]
On optimization and generalization in deep learning
Abstract: Deep neural networks have achieved significant empirical success in many fields, including the fields of computer vision and natural language processing. Along with its empirical success, deep learning has been theoretically shown to be […]
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 […]
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 […]