Graphon-valued Stochastic Processes

Channel:
United States Simons Institute for the Theory of Computing
Subscribers:
68,700
Published on ● Video Link: https://www.youtube.com/watch?v=pdJm2jdvFU4


Duration: 45:56
267 views
11

Siva Athreya (Indian Statistical Insitute)
https://simons.berkeley.edu/node/22605
Graph Limits, Nonparametric Models, and Estimation

We will present out attempts thus far to develop a theory of graphon-valued stochastic processes. We will present a brief review of theory Graphons and dynamics constructed on the space of graphons. We shall construct and analyse a natural class of such processes arising from population genetics. In conclusion we shall present the challenges in our ongoing work on constructing dynamics where the edges and vertices interact with each other. This is joint work with Frank den Hollander and Adrian Roellin



Other Videos By Simons Institute for the Theory of Computing


2022-10-01Machine Learning on Large-Scale Graphs
2022-10-01Survey on Sparse Graph Limits + A Toy Example
2022-10-01Long Range Dependence in Evolving Networks
2022-09-30Stochastic Processes on Sparse Graphs: Hydrodynamic Limits and Markov Approximations
2022-09-30Large Deviation Principle for the Norm of the Adjacency Matrix and the Laplacian Matrix of...
2022-09-30Longitudinal Network Models, Log-Linear Multigraph Models, and Implications to Estimation and...
2022-09-30Graphon Games
2022-09-30Vertexons and Embedded Graphon Mean Field Games
2022-09-30Motif Counting via Subgraph Sampling
2022-09-29Graphon Limit and Large Independent Sets in Uniform Random Cographs
2022-09-29Graphon-valued Stochastic Processes
2022-09-29Higher-order Fluctuations in Dense Random Graph Models
2022-09-29A theory for graph embedding methods and...
2022-09-28Recent Developments on Graph Norms
2022-09-28The Degree-Restricted Random Process Is Far From Uniform
2022-09-28On the Second Kahn-Kalai Conjecture
2022-09-28Sparse Random Graphs with Many Triangles
2022-09-28Efficiently Exploiting Model Structure in Network Causal Inference with and without...
2022-09-28Symmetry and Convergence
2022-09-28Higher Order Fluctuations in Dense Random Graph Models
2022-09-27A Deterministic Theory of Low Rank Matrix Completion


Tags:
Simons Institute
theoretical computer science
UC Berkeley
Computer Science
Theory of Computation
Theory of Computing
Graph Limits Nonparametric Models and Estimation
Siva Athreya