BIMSA >
BIMSA Computational Math Seminar
BIMSA Computational Math Seminar
A Unified Neural Flow Framework for Neural Networks and Operators
A Unified Neural Flow Framework for Neural Networks and Operators
Organizers
Tahereh Eftekhari
,
Pipi Hu
,
Xin Liang
,
Zhiting Ma
,
Hamid Mofidi
, Chunmei Su
,
Axel G.R. Turnquist
,
Li Wang
,
Fansheng Xiong
,
Shuo Yang
,
Wuyue Yang
Speaker
Juncai He
Time
Wednesday, May 13, 2026 2:00 PM - 3:00 PM
Venue
A3-4-312
Online
Zoom 518 868 7656
(BIMSA)
Abstract
In this talk, we introduce a unified neural flow framework that provides an infinite-depth formulation for deep neural networks and operators. Two representative dynamical systems recover plain and ResNet-type architectures through time discretization. We establish well-posedness and develop approximation theory for both networks and operators. The framework also incorporates various spatial discretizations for inter-neuron linear operators, enabling coverage of existing neural operator architectures and yielding approximation results for finite-depth DNNs, CNNs, and neural operators within a single continuous perspective.