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math.OC2022★ 2 cited
Optimizing Objective Functions from Trained ReLU Neural Networks via Sampling
Georgia Perakis, Asterios Tsiourvas
This paper introduces scalable, sampling-based algorithms that optimize trained neural networks with ReLU activations. We first propose an iterative algorithm that takes advantage…
math.NA2022
Discrete Gradient Flow Approximations of High Dimensional Evolution Partial Differential Equations via Deep Neural Networks
Emmanuil H. Georgoulis, Michail Loulakis, Asterios Tsiourvas
We consider the approximation of initial/boundary value problems involving, possibly high-dimensional, dissipative evolution partial differential equations (PDEs) using a deep neur…