R.I.P.
π»
Ghosted
A note on Cybenko's Universal Approximation Theorem
August 26, 2025 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
Evidence collected by the PWNC Scanner
Authors
Kun Wang
arXiv ID
2508.18893
Category
math.CA
Cross-listed
cs.NE
Citations
0
Venue
arXiv.org
Last Checked
3 months ago
Abstract
In this short note, we point out a mistake in G.Cybenko's proof of his version of the universal approximation theorem which has been widely cited. This mistake might not be easily fixable along the idea of his proof and it also leads to an interesting question in measure theory.
Community Contributions
Found the code? Know the venue? Think something is wrong? Let us know!
π Similar Papers
In the same crypt β math.CA
R.I.P.
π»
Ghosted
Time Coupled Diffusion Maps
R.I.P.
π»
Ghosted
Random Tessellations, Restricted Isometric Embeddings, and One Bit Sensing
R.I.P.
π»
Ghosted
Generalized Matrix Spectral Factorization and Quasi-tight Framelets with Minimum Number of Generators
R.I.P.
π»
Ghosted
An improved uncertainty principle for functions with symmetry
R.I.P.
π»
Ghosted
Additive energy, uncertainty principle and signal recovery mechanisms
Died the same way β π» Ghosted
R.I.P.
π»
Ghosted
Federated Learning: Strategies for Improving Communication Efficiency
R.I.P.
π»
Ghosted
In-Datacenter Performance Analysis of a Tensor Processing Unit
R.I.P.
π»
Ghosted
Deep Convolutional Neural Networks for Computer-Aided Detection: CNN Architectures, Dataset Characteristics and Transfer Learning
R.I.P.
π»
Ghosted