The authors interpret neural networks as PDEs, propose a dual formulation for parabolic coefficient control with an existence proof for minimizers, and establish existence for an approximated hyperbolic control problem.
Zuazua, Controllability and observability of partial differential equations: some results and open problems, Handbook of differential equations: evolutionary equations, vol
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.OC 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Control and optimization for Neural Partial Differential Equations in Supervised Learning
The authors interpret neural networks as PDEs, propose a dual formulation for parabolic coefficient control with an existence proof for minimizers, and establish existence for an approximated hyperbolic control problem.