Kolmogorov-Arnold Networks

Also known as KAN

Follow this topic Ask about this topic

Latest papers 118

13 papers in the last four weeks, up 8% on the four weeks before. 0.1% of all new papers.

All topics

Kolmogorov-Arnold Reservoir Computing
Jun 18, 2026Juntian Huang, Jürgen Kurths, Ying TangDynamical Systems Time Series Forecasting
Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China · School of Physics, University of Electronic Science and Technology of China, Chengdu 611731, China · Key Laboratory of Quantum Physics and Photonic Quantum Information, Ministry of Education, University of Electronic Science and Technology of China, Chengdu 611731, China +4
KANLib -- A Modular, Extensible and Fast Kolmogorov-Arnold Network Implementation
Jun 16, 2026Julian Hoever, Gregor SchieleKolmogorov-Arnold Networks Modular Neural Networks
Intelligent Embedded Systems University of Duisburg-Essen Duisburg, Germany
Monotonic Kolmogorov-Arnold Networks: A Theoretical and Empirical Study of Monotonicity as an Inductive Bias
Jun 16, 2026Mikhail Krasnov, Blaž Bertalanič, Carolina FortunaRepresentation Learning Kolmogorov-Arnold Networks
Jozef Stefan Institute
Sparsified Kolmogorov-Arnold Networks for Interpretable Quantum State Tomography
Jun 10, 2026Xinge Wu, Huaxin Wang, Jiajun Liu +4Quantum State Tomography Neural Network Interpretability
National Supercomputing Center in Zhengzhou, Zhengzhou University, Zhengzhou 450001, China · School of Computer and Artificial Intelligence, Zhengzhou University, Zhengzhou 450001, China · School of Communication and Artificial Intelligence, School of Integrated Circuits, Nanjing Institute of Technology, Nanjing 211167, China
Hierarchical RBF-KAN and RBF-SKAN Architectures for Multidimensional Function Approximation and Random Field Learning
Jun 1, 2026Mingtao Xia, Qijing ShenKolmogorov-Arnold Networks Neural Network Approximation Theory
University of Houston, Philip Guthrie Hoffman Hall, 3551 Cullen Blvd, Houston, 77204, Texas, United States of America · University of Birmingham, Watson Building, Birmingham, B15 2TT,, United Kingdom · University of Oxford, Henry Wellcome Building for Molecular Physiology, Old Road, Oxford, OX3 7BN, Oxfordshire, United Kingdom
KAPLAN: Kolmogorov-Arnold Prognostic Learnable Activation Networks for Survival Analysis
May 21, 2026Stelios Boulitsakis Logothetis, Angela Wood, Pietro LiòSurvival Analysis Kolmogorov-Arnold Networks
University of Cambridge
Holomorphic Neural ODEs with Kolmogorov-Arnold Networks for Interpretable Discovery of Complex Dynamics
May 21, 2026Bhaskar Ranjan Karn, Dinesh KumarNonlinear System Identification Complex-Valued Neural Networks
Adaptive RBF-KAN: A Comparative Evaluation of Dynamic Shape Parameters in Kolmogorov-Arnold Networks
May 20, 2026Roberto Cavoretto, Alessandra De Rossi, Adeeba Haider +1Kolmogorov-Arnold Networks Kernel Methods
Department of Mathematics “Giuseppe Peano”, University of Torino, via Carlo Alberto 10, 10123 Torino, Italy · Member of the INdAM Research Group GNCS · Department of Mathematics, Hong Kong Baptist University, Hong Kong SAR, China
KAN-MLP-Mixer: A comprehensive investigation of the usage of Kolmogorov-Arnold Networks (KANs) for improving IMU-based Human Activity Recognition
May 18, 2026Mengxi Liu, Sizhen Bian, Vitor Fortes +5Human Activity Recognition Kolmogorov-Arnold Networks
DFKI, Germany · Northwestern Polytechnical University, China · DFKI +2
Beyond Linear Superposition: Discovering Climate Features in AI Weather Models with KAN-SAE
May 17, 2026Minjong CheonTransformer Interpretability Climate Science
Department of Computer Science and Engineering Sejong University
Population Risk Bounds for Kolmogorov-Arnold Networks Trained by DP-SGD with Correlated Noise
May 12, 2026Puyu Wang, Jan Schuchardt, Nikita Kalinin +4Differentially Private Stochastic Gradient Descent Nonconvex Stochastic Optimization
RPTU Kaiserslautern-Landau, Kaiserslautern, Germany · Machine Learning Research, Morgan Stanley · Institute of Science and Technology, Klosterneuburg, Austria +1
KAN-CL: Per-Knot Importance Regularization for Continual Learning with Kolmogorov-Arnold Networks
May 12, 2026Minjong CheonContinual Learning Kolmogorov-Arnold Networks
Sejong University Department of Computer Science and Engineering
Posterior Contraction Rates for Sparse Kolmogorov-Arnold Networks in Anisotropic Besov Spaces
May 12, 2026Jeunghun Oh, Kyeongwon Lee, Jaeyong Lee +1Bayesian Neural Networks Kolmogorov-Arnold Networks
Department of Statistics, Seoul National University · Department of Statistics, Inha University · Department of Mathematics, University of Maryland
KAN Text to Vision? The Exploration of Kolmogorov-Arnold Networks for Multi-Scale Sequence-Based Pose Animation from Sign Language Notation
May 10, 2026Guanyi Du, Lintao Wang, Kun Hu +1Human Motion Generation Kolmogorov-Arnold Networks
School of Computer Science, The University of Sydney, Camperdown Campus, NSW 2006, Sydney, 2006, Australia · School of Science, Edith Cowan University, 270 Joondalup Drive, Joondalup, 6027, Western Australia, Australia · School of Computer Science and Digital Technologies, Aston University, Aston Triangle, Birmingham, B4 7ET, United Kingdom
Geometric Kolmogorov--Arnold Network (GeoKAN)
May 7, 2026Abhijit Sen, Bikram Keshari Parida, Giridas Maiti +2Neural Surrogate Modeling Metric Learning
Department of Physics and Engineering Physics, Tulane University, New Orleans, Louisiana 70118, USA. · Institute of Applied Geosciences, Karlsruhe Institute of Technology, Karlsruhe 76131, Germany.
Gated QKAN-FWP: Scalable Quantum-inspired Sequence Learning
May 7, 2026Kuo-Chung Peng, Samuel Yen-Chi Chen, Jiun-Cheng Jiang +16Time Series Forecasting Quantum-Inspired ML
Department of Physics and Center for Theoretical Physics, National Taiwan University, Taipei, Taiwan · National Center for High-Performance Computing, National Institutes of Applied Research, Hsinchu, Taiwan · Wells Fargo, New York, NY, USA +11
Temporal Functional Circuits: From Spline Plots to Faithful Explanations in KAN Forecasting
May 7, 2026Naveen MysoreExplainable Time Series Forecasting Explainable Artificial Intelligence
University of California, Santa Barbara
Generative Quantum-inspired Kolmogorov-Arnold Eigensolver
May 6, 2026Yu-Cheng Lin, Yu-Chao Hsu, I-Shan Tsai +9Quantum Generative Modeling Quantum Chemistry
Department of Electrophysics, National Yang Ming Chiao Tung University, Hsinchu, Taiwan. · National Center for High-Performance Computing, National Institutes of Applied Research, Hsinchu, Taiwan · Cross College Elite Program, National Cheng Kung University, Tainan, Taiwan +7
Multi-Fidelity Emulation of Atmospheric Correction Coefficients with Physics-Guided Kolmogorov-Arnold Networks
May 4, 2026Md Abdullah Al Mazid, Naphtali RisheSurrogate Modeling Remote Sensing
Knight Foundation School of Computing and Information Sciences, Florida International University, Miami, FL 33199, USA
KANs need curvature: penalties for compositional smoothness
May 4, 2026James BagrowNeural Network Activation Functions Neural Network Interpretability
Mathematics & Statistics, University of Vermont, Burlington, VT, United States · Vermont Complex Systems Center, University of Vermont, Burlington, VT, United States
SRGAN-CKAN: Expressive Super-Resolution with Nonlinear Functional Operators under Minimal Resources
May 2, 2026Roberto Isai Navaro-Aviña, Eduardo Said Merin-Martinez, Andres Mendez-Vazquez +1Kolmogorov-Arnold Networks Generative Adversarial Networks
Cinvestav, Unidad Guadalajara Av. del Bosque 1145, El Bajio Zapopan, Jalisco, 45017, Mexico · Cinvestav, Unidad Tamaulipas Km. 5.5 Carretera Victoria - Soto La Marina Victoria, 87139, Tamaulipas, Mexico
Layer-wise Lipschitz-Product Control for Deep Kolmogorov--Arnold Network Representations of Compositionally Structured Functions
Apr 29, 2026Aleksander TankmanKolmogorov-Arnold Networks Neural Network Approximation Theory
Fivestar Europe OÜ, Tallinn, Estonia
DecompKAN: Decomposed Patch-KAN for Long-Term Time Series Forecasting
Apr 27, 2026Naveen MysoreLong-Term Time Series Forecasting Explainable Time Series Forecasting
Necessary and sufficient conditions for universality of Kolmogorov-Arnold networks
Apr 26, 2026Vugar IsmailovKolmogorov-Arnold Networks Universal Approximation
Partition-of-Unity Gaussian Kolmogorov-Arnold Networks
Apr 26, 2026Amir NoorizadeganKolmogorov-Arnold Networks Kernel Methods
Department of Mathematics, Hong Kong Baptist University, Hong Kong SAR, China
Autocorrelation Reintroduces Spectral Bias in KANs for Time Series Forecasting
Apr 26, 2026Chen Zeng, Jiahui Wang, Qiao WangTime Series Forecasting Kolmogorov-Arnold Networks
School of Information Science and Engineering, Southeast University, Nanjing, China · School of Economics and Management, Southeast University, Nanjing, China · both the School of Information Science and Engineering and the School of Economics and Management, Southeast University, Nanjing, China
KAConvNet: Kolmogorov-Arnold Convolutional Networks for Vision Recognition
Apr 25, 2026Zhaoxiang Liu, Zhicheng Ma, Kaikai Zhao +2Kolmogorov-Arnold Networks Convolutional Neural Networks
Unicom Data Intelligence, China Unicom, Beijing, China
LTBs-KAN: Linear-Time B-splines Kolmogorov-Arnold Networks
Apr 23, 2026Eduardo Said Merin-Martinez, Andres Mendez-Vazquez, Eduardo Rodriguez-TelloEfficient Neural Network Inference Kolmogorov-Arnold Networks
Cinvestav, Unidad Guadalajara · Av. del Bosque 1145, El Bajio · Zapopan, Jalisco, 45017, Mexico +3
Scale-Parameter Selection in Gaussian Kolmogorov-Arnold Networks
Apr 23, 2026Amir Noorizadegan, Sifan WangKolmogorov-Arnold Networks Neural Network Approximation Theory
Department of Mathematics, Hong Kong Baptist University, Hong Kong SAR, China · Institution for Foundations of Data Science, Yale University, New Haven, CT 06520, USA
Singularity Formation: Synergy in Theoretical, Numerical and Machine Learning Approaches
Apr 18, 2026Yixuan WangPDE Solving Kolmogorov-Arnold Networks
CALIFORNIA INSTITUTE OF TECHNOLOGY Pasadena, California · [math.NA]

Jun 18, 2026J/K move · Enter open · S save

Kolmogorov-Arnold Reservoir Computing

Juntian Huang, Jürgen Kurths, Ying Tang

Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China · School of Physics, University of Electronic Science and Technology of China, Chengdu 611731, China · Key Laboratory of Quantum Physics and Photonic Quantum Information, Ministry of Education, University of Electronic Science and Technology of China, Chengdu 611731, China+4

Dynamical Systems Time Series Forecasting Reservoir Computing Kolmogorov-Arnold Networks

Open paper AskPDF arXiv

Reservoir computing offers a lightweight framework for forecasting dynamical systems but may struggle to capture long-range dependencies due to limited representational capacity. Conventional reservoir computing recurrently uses fixed reservoirs with hyperparameter sensitivity, while the next generation reservoir computing removes recurrence at the cost of rapidly growing feature dimensions. Here, we develop Kolmogorov-Arnold Reservoir Computing (KARC), which replaces reservoirs with explicit basis-function expansions inspired by the Kolmogorov-Arnold representation theorem. We rigorously show that KARC is a lightweight design of Kolmogorov-Arnold networks (KANs), preserving the potential expressive capacity of KANs while admitting efficient closed-form training of reservoir computing. At comparable cost, KARC outperforms existing reservoir computing methods on challenging benchmarks including partial differential equations. It can also be integrated with generative diffusion models for facilitating text-to-image generation. This work thus establishes a principled bridge between reservoir computing and KANs, yielding a unified framework for efficient dynamical forecasting and generative modeling.