Kolmogorov-Arnold Networks

Also known as KAN

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

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Hybrid Parallel Bessel KAN Model: a Kolmogorov Arnold Network: integrated framework for developing a novel architecture to reconstruct the fused-basis approach via a parameter free quadratic interaction
Oct 13, 2026Mintu Pathak, Meshv Patel, Mohendra Roy +1Kolmogorov-Arnold Networks Modular Neural Networks
Department of Applied Sciences, Tezpur University, Napaam, Tezpur, 784028, Assam, India. · Department of ICT, Pandit Deendayal Energy University, Raysan, Gandhinagar, 382007, Gujarat, India.
Low-Rank Kolmogorov-Arnold Generator Flows for Interpretable Operator Learning
Oct 9, 2026Minjong CheonOperator Learning PDE Operator Learning
Department of Computer Science, Korea National Open University, Seoul, South Korea.
Robust Prediction of Internal Wave-Affected Multi-Scale Sound Speed Distribution Using Lightweight Kolmogorov-Arnold Networks with Hybrid Basis Functions
Oct 7, 2026Wei Huang, Junpeng Lu, Tianhe Xu +2Kolmogorov-Arnold Networks Multiscale Time-Series Modeling
Faculty of Information Science and Engineering, Ocean University of China, Qingdao, Shandong 266404, China · School of Space Science and Technology, Shandong University at Weihai, Weihai, Shandong 264200, China · School of Artificial Intelligence, The Chinese University of Hong Kong (Shenzhen), Shenzhen, Guangdong 518172, China
Sample-Efficiency of Kolmogorov-Arnold Networks
Oct 7, 2026Kevin Riehl, Shaimaa K. El-Baklish, Fan Wu +1Kolmogorov-Arnold Networks Sample-Efficient RL
ETH Zürich, IVT & Agentic Systems Lab (ASL) · ETH Zürich, IVT · ETH Zürich, Agentic Systems Lab (ASL)
IGA-KAN: Isogeometric Analysis with Physics-Informed Closed-Form Kolmogorov-Arnold Networks for Forward and Inverse PDEs
Oct 5, 2026Sima Naraghi, Kourosh Parand, Amirhossein Sadr +1Neural PDE Solvers Kolmogorov-Arnold Networks
Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran · Department of Computer and Data Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran · Department of Cognitive Modeling, Institute for Cognitive and Brain Sciences, Shahid Beheshti University, Tehran, Iran +1
Kolmogorov-Arnold Networks for Personal Context Recognition on ExtraSensory
Oct 4, 2026Hoang-Thang TaKolmogorov-Arnold Networks
University of Information Technology, Ho Chi Minh City, Vietnam · Vietnam National University Ho Chi Minh City, Ho Chi Minh City, Vietnam
Kolmogorov-Arnold Networks for Free-Boundary Partial Differential Equations
Oct 1, 2026Tan Phuong Dong LeNeural PDE Solvers PDE Solving
Department of Applied Mathematics, University of Waterloo, Canada · Department of Statistics and Actuarial Science, University of Waterloo, Canada
Neural scaling laws and evolution of learnable activation functions of Kolmogorov-Arnold networks
Oct 1, 2026Tilen Cadez, Sanghoon Lee, Kyoung-Min KimNeural Network Activation Functions Kolmogorov-Arnold Networks
Asia Pacific Center for Theoretical Physics, Pohang, Gyeongbuk, 37673, Republic of Korea · Department of Physics, Pohang University of Science and Technology, Pohang, Gyeongbuk 37673, Republic of Korea
Hardware-Aware Functional Kolmogorov-Arnold Networks for Efficient Medical Image Enhancement and Segmentation
Sep 28, 2026Mohammad Sadegh SirjaniEfficient Neural Network Inference Kolmogorov-Arnold Networks
Department of Computer Science University of Texas at San Antonio, San Antonio, TX, USA
Fisher Simplicity in Kolmogorov-Arnold Networks and Multilayer Perceptrons
Sep 26, 2026Ami Tavory, Meir FederNeural Network Interpretability Kolmogorov-Arnold Networks
Meta Platforms Tel-Aviv, Israel · School of Electrical and Computer Engineering Tel-Aviv University Tel-Aviv, Israel
Evaluating the Effectiveness of SechKAN on 1D Data
Sep 22, 2026Hoang-Thang TaTime Series Classification Kolmogorov-Arnold Networks
University of Information Technology, Ho Chi Minh City, Vietnam · Vietnam National University Ho Chi Minh City, Ho Chi Minh City, Vietnam
Rethinking Vision Architectures with Gated Linear Attention and KAN
Sep 18, 2026Ali Mehizel, Oussama KhaldiVisual Representation Learning Vision Transformer
Department of Applied Statistics, ENSSEA, Kolea, Tipaza, Algeria
Stability-Constrained Approximation in Spline KANs: Exact Layer Balancing and Budget-Compatible Saturation
Sep 14, 2026Aleksander TankmanNeural Network Approximation Theory Kolmogorov-Arnold Networks
Fivestar Europe OÜ, Tallinn, Estonia
Draining Fictitious Knots: Restoring Distance-Awareness Guarantees for High-Dimensional Spline Networks
Sep 14, 2026Masoud Ataei, Mohammad Javad Khojasteh, Vikas DhimanUncertainty Quantification Kolmogorov-Arnold Networks
Electrical and Computer Engg. University of Maine Orono, ME, USA · Electrical and Microelectronic Engg. Rochester Institute of Technology Rochester, NY, USA
Scalability Analysis of Distributed Kolmogorov-Arnold Network Training on High-Performance Computing Systems
Sep 7, 2026Guangneng Chen, David Garcia Selfa, Pablo Quesada BarriusoHigh-Performance Computing Kolmogorov-Arnold Networks
University of Santiago de Compostela, 15782 Santiago de Compostela, Spain · Galicia Supercomputing Center (CESGA), 15705 Santiago de Compostela, Spain
Kolmogorov--Arnold stability for discontinuous functions
Sep 7, 2026Sviatoslav V. DzhenzherAdversarial Robustness Kolmogorov-Arnold Networks
Moscow Institute of Physics and Technology 141701, Institutskii lane, 9, Dolgoprudny, Russia.
KanAdapter: A Kolmogorov-Arnold Network-based Plug-and-Play Module for Efficient Fine-tuning of Foundation Speech Models
Sep 4, 2026Phuong Tuan Dat, Phuong Khai Minh, Tran Huy DatAdapter Tuning Parameter-Efficient Fine-Tuning
Dept. of Electrical and Computer Engineering, National University of Singapore · School of Computing, National University of Singapore · Institute of Advanced Intelligence and Computing (IAIC), A∗STAR
SW-KAN: Kolmogorov-Arnold Networks with Stieltjes-Wigert q-Orthogonal Polynomials
Sep 3, 2026Amirhosein Azarpour, Seyyed Moein KazemiKolmogorov-Arnold Networks Polynomial Neural Networks
Faculty of Mathematical Sciences, Department of Computer Science, Shahid Beheshti University, Tehran · Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran
InKAN: B-Spline KANs via Truncated Power Form
Sep 2, 2026Naveen MysoreEfficient Neural Network Inference Neural Network Activation Functions
RecKAN: Kolmogorov-Arnold Networks with a Learnable Recursive Polynomial Basis
Sep 1, 2026Amirhosein AzarpourPolynomial Neural Networks Kolmogorov-Arnold Networks
Department of Computer Science Shahid Beheshti University Tehran, Iran
Kolmogorov--Arnold against bounded translations
Aug 31, 2026Sviatoslav V. DzhenzherAdversarial Robustness Kolmogorov-Arnold Networks
Moscow Institute of Physics and Technology 141701, Institutskii lane, 9, Dolgoprudny, Russia.
Seasonal and Quantum-inspired Models for Neutron Monitor Time Series Forecasting
Aug 26, 2026Krishna Bhatia, Shalini Devendrababu, Srinjoy GangulyTime Series Forecasting Quantum-Inspired ML
Quantum AI Lab, Fractal AI Research, India
Geometry-Constrained Kolmogorov-Arnold Networks: Learning Edge Geometry via Banach Duality
Aug 26, 2026K S Sesh KumarKolmogorov-Arnold Networks Symbolic Regression
Brevan Howard Centre for Financial Analysis Imperial Business School
PGP-Clinical-TimeKAN: Prior-Guided Joint Probabilistic Forecasting of Clinical Trajectories
Aug 24, 2026Weizhi Nie, Rihao Chang, Weijie Wang +1Time Series Forecasting Multivariate Time Series Forecasting
Tianjin University
KAN-Robust-Bench: A Benchmark for Evaluating the Robustness of Kolmogorov-Arnold Networks
Aug 21, 2026Mohammad Meymani, Roozbeh Razavi-FarAdversarial Robustness Kolmogorov-Arnold Networks
Trustworthy and Secure AI (TSAI) Lab, Faculty of Computer Science, University of New Brunswick, Fredericton, Canada
Interpretable Feature Learning for RF Fingerprinting via Polar MKANs
Aug 20, 2026Mikhail Krasnov, Ljupcho Milosheski, Carolina FortunaInterpretable ML Kolmogorov-Arnold Networks
Jožef Stefan Institute, Ljubljana, Slovenia
ER-KANs: Efficient and Robust Kolmogorov-Arnold Networks for Data-Scarce Scientific Machine Learning
Aug 14, 2026Harshil LodhiyaKolmogorov-Arnold Networks Neural Network Robustness
Sliced Health
Hybrid Quantum-inspired Kolmogorov-Arnold Networks for Privacy-Aware Federated Biosignal Learning
Aug 14, 2026Chun-Hua Lin, Samuel Yen-Chi Chen, Yu-Chao Hsu +7Electrocardiogram Classification Kolmogorov-Arnold Networks
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 · Brookhaven National Laboratory, Upton, NY, USA +5
Kolmogorov-Arnold Networks for Spatially Independent Multispectral Land Classification
Aug 13, 2026Katherine L. Bauer, Teemu Harkonen, Simo Sarkka +1Land Cover Classification Image Classification
Department of Earth and Atmospheric Sciences, University of Alberta, Edmonton, AB, Canada · Department of Electrical Engineering and Automation, Aalto University, Helsinki, Finland
HYDRA: Hyperbolic Dynamic Representation Architecture for Kolmogorov-Arnold Networks
Aug 12, 2026Zhao Su, Yuxin Xia, Haoran Li +4Kolmogorov-Arnold Networks Neural Network Approximation Theory
School of Information Science and Engineering, Lanzhou University · Department of Data Science and AI, Monash University · School of Computing and Information Technology, University of Wollongong +1

Oct 13, 2026J/K move · Enter open · S save

Hybrid Parallel Bessel KAN Model: a Kolmogorov Arnold Network: integrated framework for developing a novel architecture to reconstruct the fused-basis approach via a parameter free quadratic interaction

Mintu Pathak, Meshv Patel, Mohendra Roy, Jwngsar Brahma

Department of Applied Sciences, Tezpur University, Napaam, Tezpur, 784028, Assam, India. · Department of ICT, Pandit Deendayal Energy University, Raysan, Gandhinagar, 382007, Gujarat, India.

Kolmogorov-Arnold Networks Modular Neural Networks

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The Kolmogorov-Arnold Network (KAN) challenges traditional MLPs by placing learnable activation functions on network edges. However, scaling KANs to spatial data exposes limitations in default B-Splines. While hybrid architectures mix multiple basis families on a single edge to resolve this, monolithic superposition causes geometric overlap, parameter explosion, and severe numerical ill-conditioning (

κ(G) \approx 10^{16}

).To overcome this, we propose Parallel BesselKAN, which isolates B-Spline and low-order Bessel branches into parallel processing pipelines integrated via a parameter-free quadratic interaction. This decoupled architecture acts as an efficient internal ensemble, bypassing monolithic stability bottlenecks. It compresses the parameter footprint by

35\%

while achieving

97.99\%

accuracy on MNIST. Although standard MLPs retain a hardware speed advantage for pure vision tasks, Parallel BesselKAN provides a robust, parameter-efficient framework stabilizing mixed-basis networks and paving the way for scalable spatial adaptations like Convolutional KANs.