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The universal approximation theorem for complex-valued neural networks
v1v2 (latest)

The universal approximation theorem for complex-valued neural networks

Applied and Computational Harmonic Analysis (ACHA), 2020
6 December 2020
F. Voigtlaender
ArXiv (abs)PDFHTML

Papers citing "The universal approximation theorem for complex-valued neural networks"

20 / 20 papers shown
Title
Algorithms and data structures for automatic precision estimation of neural networks
Algorithms and data structures for automatic precision estimation of neural networks
Igor V. Netay
65
0
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29 Sep 2025
Kolmogorov-Arnold Network Autoencoders
Kolmogorov-Arnold Network Autoencoders
Mohammadamin Moradi
Shirin Panahi
Erik Bollt
Ying-Cheng Lai
209
10
0
02 Oct 2024
CoNO: Complex Neural Operator for Continous Dynamical Physical Systems
CoNO: Complex Neural Operator for Continous Dynamical Physical Systems
Karn Tiwari
N. M. A. Krishnan
P. PrathoshA
223
2
0
01 Jun 2024
Neural Controlled Differential Equations with Quantum Hidden Evolutions
Neural Controlled Differential Equations with Quantum Hidden Evolutions
Lingyi Yang
Zhen Shao
176
1
0
30 Apr 2024
Approximation Rates and VC-Dimension Bounds for (P)ReLU MLP Mixture of
  Experts
Approximation Rates and VC-Dimension Bounds for (P)ReLU MLP Mixture of Experts
Anastasis Kratsios
Haitz Sáez de Ocáriz Borde
Takashi Furuya
Marc T. Law
MoE
419
2
0
05 Feb 2024
Do stable neural networks exist for classification problems? -- A new
  view on stability in AI
Do stable neural networks exist for classification problems? -- A new view on stability in AI
Z. N. D. Liu
A. C. Hansen
140
1
0
15 Jan 2024
Universal Approximation Theorem for Vector- and Hypercomplex-Valued
  Neural Networks
Universal Approximation Theorem for Vector- and Hypercomplex-Valued Neural NetworksNeural Networks (NN), 2024
Marcos Eduardo Valle
Wington L. Vital
Guilherme Vieira
190
16
0
04 Jan 2024
On the Computational Complexities of Complex-valued Neural Networks
On the Computational Complexities of Complex-valued Neural Networks
K. S. Mayer
J. A. Soares
Ariadne A. Cruz
D. Arantes
63
4
0
19 Oct 2023
Understanding Vector-Valued Neural Networks and Their Relationship with
  Real and Hypercomplex-Valued Neural Networks
Understanding Vector-Valued Neural Networks and Their Relationship with Real and Hypercomplex-Valued Neural NetworksIEEE Signal Processing Magazine (IEEE Signal Process. Mag.), 2023
Marcos Eduardo Valle
166
4
0
14 Sep 2023
Spherical Fourier Neural Operators: Learning Stable Dynamics on the
  Sphere
Spherical Fourier Neural Operators: Learning Stable Dynamics on the SphereInternational Conference on Machine Learning (ICML), 2023
Boris Bonev
Thorsten Kurth
Christian Hundt
Jaideep Pathak
Maximilian Baust
K. Kashinath
Anima Anandkumar
AI4ClAI4CE
200
217
0
06 Jun 2023
Universal approximation with complex-valued deep narrow neural networks
Universal approximation with complex-valued deep narrow neural networksConstructive approximation (Constr. Approx.), 2023
Paul Geuchen
Thomas Jahn
Hannes Matt
206
5
0
26 May 2023
Selected aspects of complex, hypercomplex and fuzzy neural networks
Selected aspects of complex, hypercomplex and fuzzy neural networks
A. Niemczynowicz
Radosław Antoni Kycia
Maciej Jaworski
A. Siemaszko
J. Calabuig
...
Baruch Schneider
Diana Berseghyan
Irina Perfiljeva
V. Novák
Piotr Artiemjew
296
2
0
29 Dec 2022
Deep Learning Methods for Partial Differential Equations and Related
  Parameter Identification Problems
Deep Learning Methods for Partial Differential Equations and Related Parameter Identification ProblemsInverse Problems (IP), 2022
Derick Nganyu Tanyu
Jianfeng Ning
Tom Freudenberg
Nick Heilenkötter
A. Rademacher
U. Iben
Peter Maass
AI4CE
227
47
0
06 Dec 2022
On the Approximation and Complexity of Deep Neural Networks to Invariant
  Functions
On the Approximation and Complexity of Deep Neural Networks to Invariant Functions
Gao Zhang
Jin-Hui Wu
Shao-Qun Zhang
159
0
0
27 Oct 2022
Qualitative neural network approximation over R and C: Elementary proofs
  for analytic and polynomial activation
Qualitative neural network approximation over R and C: Elementary proofs for analytic and polynomial activation
Josiah Park
Stephan Wojtowytsch
160
3
0
25 Mar 2022
Theoretical Exploration of Flexible Transmitter Model
Theoretical Exploration of Flexible Transmitter ModelIEEE Transactions on Neural Networks and Learning Systems (TNNLS), 2021
Jin-Hui Wu
Shao-Qun Zhang
Yuan Jiang
Zhiping Zhou
275
3
0
11 Nov 2021
Towards Understanding Theoretical Advantages of Complex-Reaction
  Networks
Towards Understanding Theoretical Advantages of Complex-Reaction Networks
Shao-Qun Zhang
Gaoxin Wei
Zhi Zhou
162
19
0
15 Aug 2021
Invariant polynomials and machine learning
Invariant polynomials and machine learning
W. Haddadin
121
7
0
26 Apr 2021
Scaling of neural-network quantum states for time evolution
Scaling of neural-network quantum states for time evolution
Sheng-Hsuan Lin
F. Pollmann
199
28
0
21 Apr 2021
Quantitative approximation results for complex-valued neural networks
Quantitative approximation results for complex-valued neural networksSIAM Journal on Mathematics of Data Science (SIMODS), 2021
A. Caragea
D. Lee
J. Maly
G. Pfander
F. Voigtlaender
148
8
0
25 Feb 2021
1