Approximating Smooth Functionals with ReLU Networks

arXiv:2609.15355 · stat.ML, cs.LG · Submitted 2026-09-14 · Read on arXiv

stat.ML, cs.LG

Submitted: 2026-09-14

Updated: 2026-09-20

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Neural Network Approximation — 6× in this paper · explained in 2 episodes
• Approximation Bound — 4× in this paper · explained in 1 episode
• Hilbert Space — 4× in this paper · explained in 2 episodes
• Accuracy — 2× in this paper · explained in 1 episode
• Activation Function — 2× in this paper · explained in 1 episode
• Admissibility — 2× in this paper · explained in 2 episodes
• Adam — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes

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