Necessary and sufficient conditions for universality of Kolmogorov-Arnold networks
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | Ismailov, Vugar |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
Documents similaires
Topological DeepONets and a generalization of the Chen-Chen operator approximation theorem
par: Ismailov, Vugar
Publié: (2026)
par: Ismailov, Vugar
Publié: (2026)
Universal Approximation Theorem for Input-Connected Multilayer Perceptrons
par: Ismailov, Vugar
Publié: (2026)
par: Ismailov, Vugar
Publié: (2026)
Universality of shallow and deep neural networks on non-Euclidean spaces
par: Ismailov, Vugar
Publié: (2026)
par: Ismailov, Vugar
Publié: (2026)
Approximation Rates in Besov Norms and Sample-Complexity of Kolmogorov-Arnold Networks with Residual Connections
par: Kratsios, Anastasis, et autres
Publié: (2025)
par: Kratsios, Anastasis, et autres
Publié: (2025)
Universal approximation theorem for neural networks with inputs from a topological vector space
par: Ismailov, Vugar
Publié: (2024)
par: Ismailov, Vugar
Publié: (2024)
Addressing common misinterpretations of KART and UAT in neural network literature
par: Ismailov, Vugar
Publié: (2024)
par: Ismailov, Vugar
Publié: (2024)
rKAN: Rational Kolmogorov-Arnold Networks
par: Aghaei, Alireza Afzal
Publié: (2024)
par: Aghaei, Alireza Afzal
Publié: (2024)
New advances in universal approximation with neural networks of minimal width
par: Rochau, Dennis, et autres
Publié: (2024)
par: Rochau, Dennis, et autres
Publié: (2024)
Softly Symbolifying Kolmogorov-Arnold Networks
par: Bagrow, James, et autres
Publié: (2025)
par: Bagrow, James, et autres
Publié: (2025)
Optimized Architectures for Kolmogorov-Arnold Networks
par: Bagrow, James, et autres
Publié: (2025)
par: Bagrow, James, et autres
Publié: (2025)
Stable Learning Using Spiking Neural Networks Equipped With Affine Encoders and Decoders
par: Neuman, A. Martina, et autres
Publié: (2024)
par: Neuman, A. Martina, et autres
Publié: (2024)
On shallow feedforward neural networks with inputs from a topological space
par: Ismailov, Vugar
Publié: (2025)
par: Ismailov, Vugar
Publié: (2025)
A Practitioner's Guide to Kolmogorov-Arnold Networks
par: Noorizadegan, Amir, et autres
Publié: (2025)
par: Noorizadegan, Amir, et autres
Publié: (2025)
Sinc Kolmogorov-Arnold network and its application for solving PDEs with singularities
par: Yu, Tianchi, et autres
Publié: (2024)
par: Yu, Tianchi, et autres
Publié: (2024)
Multi-Exit Kolmogorov-Arnold Networks: enhancing accuracy and parsimony
par: Bagrow, James, et autres
Publié: (2025)
par: Bagrow, James, et autres
Publié: (2025)
Kolmogorov-Arnold networks for metal surface defect classification
par: Krzywda, Maciej, et autres
Publié: (2025)
par: Krzywda, Maciej, et autres
Publié: (2025)
Generalization Bounds and Model Complexity for Kolmogorov-Arnold Networks
par: Zhang, Xianyang, et autres
Publié: (2024)
par: Zhang, Xianyang, et autres
Publié: (2024)
A Gated Residual Kolmogorov-Arnold Networks for Mixtures of Experts
par: Inzirillo, Hugo, et autres
Publié: (2024)
par: Inzirillo, Hugo, et autres
Publié: (2024)
KAT to KANs: A Review of Kolmogorov-Arnold Networks and the Neural Leap Forward
par: Basina, Divesh, et autres
Publié: (2024)
par: Basina, Divesh, et autres
Publié: (2024)
Kolmogorov-Arnold Networks and Evolutionary Game Theory for More Personalized Cancer Treatment
par: Azimi, Sepinoud, et autres
Publié: (2025)
par: Azimi, Sepinoud, et autres
Publié: (2025)
P1-KAN: an effective Kolmogorov-Arnold network with application to hydraulic valley optimization
par: Warin, Xavier
Publié: (2024)
par: Warin, Xavier
Publié: (2024)
LeanKAN: A Parameter-Lean Kolmogorov-Arnold Network Layer with Improved Memory Efficiency and Convergence Behavior
par: Koenig, Benjamin C., et autres
Publié: (2025)
par: Koenig, Benjamin C., et autres
Publié: (2025)
Symbolic Regression with Multimodal Large Language Models and Kolmogorov Arnold Networks
par: Harvey, Thomas R., et autres
Publié: (2025)
par: Harvey, Thomas R., et autres
Publié: (2025)
ReLU-KAN: New Kolmogorov-Arnold Networks that Only Need Matrix Addition, Dot Multiplication, and ReLU
par: Qiu, Qi, et autres
Publié: (2024)
par: Qiu, Qi, et autres
Publié: (2024)
Kolmogorov-Arnold Transformer
par: Yang, Xingyi, et autres
Publié: (2024)
par: Yang, Xingyi, et autres
Publié: (2024)
Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks
par: Vanherreweghe, Mathew, et autres
Publié: (2025)
par: Vanherreweghe, Mathew, et autres
Publié: (2025)
A Genetic Algorithm-Based Approach for Automated Optimization of Kolmogorov-Arnold Networks in Classification Tasks
par: Long, Quan, et autres
Publié: (2025)
par: Long, Quan, et autres
Publié: (2025)
Universality and approximation bounds for echo state networks with random weights
par: Li, Zhen, et autres
Publié: (2022)
par: Li, Zhen, et autres
Publié: (2022)
LTBs-KAN: Linear-Time B-splines Kolmogorov-Arnold Networks
par: Merin-Martinez, Eduardo Said, et autres
Publié: (2026)
par: Merin-Martinez, Eduardo Said, et autres
Publié: (2026)
Kolmogorov Arnold Networks in Fraud Detection: Bridging the Gap Between Theory and Practice
par: Lu, Yang, et autres
Publié: (2024)
par: Lu, Yang, et autres
Publié: (2024)
A third-order finite difference weighted essentially non-oscillatory scheme with shallow neural network
par: Park, Kwanghyuk, et autres
Publié: (2024)
par: Park, Kwanghyuk, et autres
Publié: (2024)
A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder
par: Kim, Youngkyu, et autres
Publié: (2020)
par: Kim, Youngkyu, et autres
Publié: (2020)
Projective Kolmogorov Arnold Neural Networks (P-KANs): Entropy-Driven Functional Space Discovery for Interpretable Machine Learning
par: Poole, Alastair, et autres
Publié: (2025)
par: Poole, Alastair, et autres
Publié: (2025)
X-KAN: Optimizing Local Kolmogorov-Arnold Networks via Evolutionary Rule-Based Machine Learning
par: Shiraishi, Hiroki, et autres
Publié: (2025)
par: Shiraishi, Hiroki, et autres
Publié: (2025)
Universal approximation results for neural networks with non-polynomial activation function over non-compact domains
par: Neufeld, Ariel, et autres
Publié: (2024)
par: Neufeld, Ariel, et autres
Publié: (2024)
Splitting physics-informed neural networks for inferring the dynamics of integer- and fractional-order neuron models
par: Shekarpaz, Simin, et autres
Publié: (2023)
par: Shekarpaz, Simin, et autres
Publié: (2023)
Robust Parameter and State Estimation in Multiscale Neuronal Systems Using Physics-Informed Neural Networks
par: Wei, Changliang, et autres
Publié: (2026)
par: Wei, Changliang, et autres
Publié: (2026)
Approximating Matrix Functions with Deep Neural Networks and Transformers
par: Padmanabhan, Rahul, et autres
Publié: (2026)
par: Padmanabhan, Rahul, et autres
Publié: (2026)
Semialgebraic Neural Networks: From roots to representations
par: Mis, S. David, et autres
Publié: (2025)
par: Mis, S. David, et autres
Publié: (2025)
Expressivity and Approximation Properties of Deep Neural Networks with ReLU$^k$ Activation
par: He, Juncai, et autres
Publié: (2023)
par: He, Juncai, et autres
Publié: (2023)
Documents similaires
-
Topological DeepONets and a generalization of the Chen-Chen operator approximation theorem
par: Ismailov, Vugar
Publié: (2026) -
Universal Approximation Theorem for Input-Connected Multilayer Perceptrons
par: Ismailov, Vugar
Publié: (2026) -
Universality of shallow and deep neural networks on non-Euclidean spaces
par: Ismailov, Vugar
Publié: (2026) -
Approximation Rates in Besov Norms and Sample-Complexity of Kolmogorov-Arnold Networks with Residual Connections
par: Kratsios, Anastasis, et autres
Publié: (2025) -
Universal approximation theorem for neural networks with inputs from a topological vector space
par: Ismailov, Vugar
Publié: (2024)