Awesome KAN (Kolmogorov-Arnold Network)

A carefully curated collection of exceptional libraries, projects, tutorials, research papers, and other resources focused on Kolmogorov-Arnold Networks (KAN). This repository serves as a well-structured and thorough resource hub, designed to support and guide researchers and developers exploring the field of KAN.

Our repository is automatically updated with the latest KAN-related research papers from arXiv, ensuring that users have access to the most up-to-date advancements in the field.

We are pleased to announce that our comprehensive review paper, "A Survey on Kolmogorov-Arnold Network", has been accepted to ACM Computing Surveys (ACM CS). This paper explores the theoretical foundations, architectural advances such as FastKAN, T-KAN, and PDE-KAN, optimization strategies, and practical applications across multiple domains. It can be accessed at https://doi.org/10.1145/3743128.

Whether you are a researcher, developer, or enthusiast, this collection provides a centralized hub for everything related to KAN, now featuring original peer-reviewed contributions to the field.

Last Updated

March 11, 2026 at 01:05:22 AM UTC

Table of Contents

• Awesome KAN(Kolmogorov-Arnold Network)
  • Table of Contents
  • Theorem
  • Papers
  • Library
  • Discussion
  • Tutorial
  • Contributing
  • License
  • Star History

Theorem

• 1957 - On the representation of continuous functions of several variables by superpositions of continuous functions of a smaller number of variables
• 1957 - On functions of three variables
• 2009 - On a constructive proof of Kolmogorov’s superposition theorem
• 2021 - The Kolmogorov-Arnold representation theorem revisited
• 2021 - The Kolmogorov Superposition Theorem can Break the Curse of Dimension When Approximating High Dimensional Functions

Papers (660)

• KAN: Kolmogorov-Arnold Networks
• KAN 2.0: Kolmogorov-Arnold Networks Meet Science
• A Survey on Kolmogorov-Arnold Networks
• KAN or MLP: A Fairer Comparison
• DropKAN: Regularizing KANs by masking post-activations
• Rethinking the Function of Neurons in KANs
• CoxKAN: Kolmogorov-Arnold Networks for Interpretable, High-Performance Survival Analysis
• RKAN: Residual Kolmogorov-Arnold Network
• Kolmogorov-Arnold Transformer
• Effective Integration of KAN for Keyword Spotting
• Chebyshev Polynomial-Based Kolmogorov-Arnold Networks
• Kolmogorov Arnold Informed Neural Network: A physics-informed deep learning framework for solving PDEs
• Convolutional Kolmogorov-Arnold Networks
• Kolmogorov-Arnold Convolutions: Design Principles and Empirical Studies
• Smooth Kolmogorov Arnold Networks Enabling Structural Knowledge Representation
• TKAN: Temporal Kolmogorov-Arnold Networks
• ReLU-KAN: New Kolmogorov-Arnold Networks that Only Need Matrix Addition, Dot Multiplication, and ReLU
• U-KAN Makes Strong Backbone for Medical Image Segmentation and Generation
• Kolmogorov-Arnold Networks (KANs) for Time Series Analysis
• Wav-KAN: Wavelet Kolmogorov-Arnold Networks
• A First Look at Kolmogorov-Arnold Networks in Surrogate-Assisted Evolutionary Algorithms
• FourierKAN-GCF: Fourier Kolmogorov-Arnold Network for Graph Collaborative Filtering
• A Temporal Kolmogorov-Arnold Transformer for Time Series Forecasting
• fKAN: Fractional Kolmogorov-Arnold Networks with Trainable Jacobi Basis Functions
• BSRBF-KAN: A Combination of B-Splines and Radial Basis Functions in Kolmogorov-Arnold Networks
• GraphKAN: Enhancing Feature Extraction with Graph Kolmogorov Arnold Networks
• rKAN: Rational Kolmogorov-Arnold Networks
• SigKAN: Signature-Weighted Kolmogorov-Arnold Networks for Time Series
• KAN-AD: Time Series Anomaly Detection with Kolmogorov-Arnold Networks
• HyperKAN: Kolmogorov–Arnold Networks Make Hyperspectral Image Classifiers Smarter
• PRKAN: Parameter-Reduced Kolmogorov-Arnold Networks
• HKAN: Hierarchical Kolmogorov-Arnold Network Without Backpropagation
• Low Tensor-Rank Adaptation of Kolmogorov--Arnold Networks
• Kolmogorov-Arnold Fourier Networks
• New AI-Based Detection Method
• Deep Learning for Vision Systems
• seqKAN: Sequence processing with Kolmogorov-Arnold Networks
• KAA: Kolmogorov-Arnold Attention for Enhancing Attentive Graph Neural Networks
• KAGNNs: Kolmogorov-Arnold Networks meet Graph Learning
• TrafficKAN-GCN: Graph Convolutional-based Kolmogorov-Arnold Network for Traffic Flow Optimization
• Deterministic Global Optimization over trained Kolmogorov Arnold Networks
• CVKAN: Complex-Valued Kolmogorov-Arnold Networks
• A Hypernetwork-Based Approach to KAN Representation of Audio Signals
• Machine Learning Insights into Quark-Antiquark Interactions: Probing Field Distributions and String Tension in QCD
• Residual Kolmogorov-Arnold Network for Enhanced Deep Learning
• A Kolmogorov-Arnold Network for Explainable Detection of Cyberattacks on EV Chargers
• Finding Local Diffusion Schrödinger Bridge using Kolmogorov-Arnold Network
• Relating Piecewise Linear Kolmogorov Arnold Networks to ReLU Networks
• Energy-Dissipative Evolutionary Kolmogorov-Arnold Networks for Complex PDE Systems
• Fast and Accurate Gigapixel Pathological Image Classification with Hierarchical Distillation Multi-Instance Learning
• PostHoc FREE Calibrating on Kolmogorov Arnold Networks
• ViKANformer: Embedding Kolmogorov Arnold Networks in Vision Transformers for Pattern-Based Learning
• Kolmogorov-Arnold PointNet: Deep learning for prediction of fluid fields on irregular geometries
• MatrixKAN: Parallelized Kolmogorov-Arnold Network
• Fed-KAN: Federated Learning with Kolmogorov-Arnold Networks for Traffic Prediction
• Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling
• KAN-powered large-target detection for automotive radar
• TimeKAN: KAN-based Frequency Decomposition Learning Architecture for Long-term Time Series Forecasting
• MedKAN: An Advanced Kolmogorov-Arnold Network for Medical Image Classification
• TSKANMixer: Kolmogorov-Arnold Networks with MLP-Mixer Model for Time Series Forecasting
• Sphere Neural-Networks for Rational Reasoning
• Recurrent Neural Networks for Dynamic VWAP Execution: Adaptive Trading Strategies with Temporal Kolmogorov-Arnold Networks
• LeanKAN: A Parameter-Lean Kolmogorov-Arnold Network Layer with Improved Memory Efficiency and Convergence Behavior
• DiffKAN-Inpainting: KAN-based Diffusion model for brain tumor inpainting
• Geometric Kolmogorov-Arnold Superposition Theorem
• Using Structural Similarity and Kolmogorov-Arnold Networks for Anatomical Embedding of Cortical Folding Patterns
• M4SC: An MLLM-based Multi-modal, Multi-task and Multi-user Semantic Communication System
• InSlicing: Interpretable Learning-Assisted Network Slice Configuration in Open Radio Access Networks
• Advancing Out-of-Distribution Detection via Local Neuroplasticity
• Medical Image Classification with KAN-Integrated Transformers and Dilated Neighborhood Attention
• Exploring Kolmogorov-Arnold Networks for Interpretable Time Series Classification
• Probing Chaos in Schwarzschild-de Sitter Spacetime: The Role of Black Hole and Cosmological Horizons
• Zero Shot Time Series Forecasting Using Kolmogorov Arnold Networks
• Enhancing Neural Function Approximation: The XNet Outperforming KAN
• Are KANs Effective for Multivariate Time Series Forecasting?
• GrokFormer: Graph Fourier Kolmogorov-Arnold Transformers
• Unpaired Image Dehazing via Kolmogorov-Arnold Transformation of Latent Features
• From Complexity to Clarity: Kolmogorov-Arnold Networks in Nuclear Binding Energy Prediction
• On the expressiveness and spectral bias of KANs
• KAN See In the Dark
• Kolmogorov-Arnold Networks for Time Series Granger Causality Inference
• Travelling-wave, Quasi-periodic, and Longulent States of the Galerkin-regularized Hydrodynamic-type Systems
• EFKAN: A KAN-Integrated Neural Operator For Efficient Magnetotelluric Forward Modeling
• Efficient Denial of Service Attack Detection in IoT using Kolmogorov-Arnold Networks
• Function Approximation Using Analog Building Blocks in Flexible Electronics
• Data-Efficient Model for Psychological Resilience Prediction based on Neurological Data
• Forecasting VIX using interpretable Kolmogorov-Arnold networks
• FC-KAN: Function Combinations in Kolmogorov-Arnold Networks
• Incorporating Arbitrary Matrix Group Equivariance into KANs
• On the study of frequency control and spectral bias in Wavelet-Based Kolmogorov Arnold networks: A path to physics-informed KANs
• Construction of the Kolmogorov-Arnold representation using the Newton-Kaczmarz method
• Deep Learning Alternatives of the Kolmogorov Superposition Theorem
• HKAN: Hierarchical Kolmogorov-Arnold Network without Backpropagation
• A Genetic Algorithm-Based Approach for Automated Optimization of Kolmogorov-Arnold Networks in Classification Tasks
• Explainable Machine Learning: An Illustration of Kolmogorov-Arnold Network Model for Airfoil Lift Prediction
• RAINER: A Robust Ensemble Learning Grid Search-Tuned Framework for Rainfall Patterns Prediction
• Efficiency Bottlenecks of Convolutional Kolmogorov-Arnold Networks: A Comprehensive Scrutiny with ImageNet, AlexNet, LeNet and Tabular Classification
• A Comprehensive Survey on Kolmogorov Arnold Networks (KAN)
• Discovering Dynamics with Kolmogorov Arnold Networks: Linear Multistep Method-Based Algorithms and Error Estimation
• CTR-KAN: KAN for Adaptive High-Order Feature Interaction Modeling
• SineKAN: Kolmogorov-Arnold Networks Using Sinusoidal Activation Functions
• Kolmogorov Arnold Neural Interpolator for Downscaling and Correcting Meteorological Fields from In-Situ Observations
• Local Control Networks (LCNs): Optimizing Flexibility in Neural Network Data Pattern Capture
• Which Optimizer Works Best for Physics-Informed Neural Networks and Kolmogorov-Arnold Networks?
• KAN KAN Buff Signed Graph Neural Networks?
• Scalable Bayesian Physics-Informed Kolmogorov-Arnold Networks
• Assessment of the January 2025 Los Angeles County wildfires: A multi-modal analysis of impact, response, and population exposure
• UNetVL: Enhancing 3D Medical Image Segmentation with Chebyshev KAN Powered Vision-LSTM
• Adversarial-Ensemble Kolmogorov Arnold Networks for Enhancing Indoor Wi-Fi Positioning: A Defensive Approach Against Spoofing and Signal Manipulation Attacks
• Free-Knots Kolmogorov-Arnold Network: On the Analysis of Spline Knots and Advancing Stability
• Implicit Neural Representations with Fourier Kolmogorov-Arnold Networks
• Kolmogorov-Arnold Network for Remote Sensing Image Semantic Segmentation
• Kolmogorov-Arnold Recurrent Network for Short Term Load Forecasting Across Diverse Consumers
• Kolmogorov-Arnold Networks and Evolutionary Game Theory for More Personalized Cancer Treatment
• Kolmogorov-Arnold networks for metal surface defect classification
• Interpretable deep learning illuminates multiple structures fluorescence imaging: a path toward trustworthy artificial intelligence in microscopy
• DAREK -- Distance Aware Error for Kolmogorov Networks
• A convergent interacting particle method for computing KPP front speeds in random flows
• MvKeTR: Chest CT Report Generation with Multi-View Perception and Knowledge Enhancement
• Scaled-cPIKANs: Domain Scaling in Chebyshev-based Physics-informed Kolmogorov-Arnold Networks
• LWFNet: Coherent Doppler Wind Lidar-Based Network for Wind Field Retrieval
• KM-UNet KAN Mamba UNet for medical image segmentation
• Improved Feature Extraction Network for Neuro-Oriented Target Speaker Extraction
• EHCTNet: Enhanced Hybrid of CNN and Transformer Network for Remote Sensing Image Change Detection
• Boosting the Accuracy of Stock Market Prediction via Multi-Layer Hybrid MTL Structure
• KAE: Kolmogorov-Arnold Auto-Encoder for Representation Learning
• Longons from the nonlinear dispersion of Galerkin regularization
• Advancing Parkinson's Disease Progression Prediction: Comparing Long Short-Term Memory Networks and Kolmogorov-Arnold Networks
• KACQ-DCNN: Uncertainty-Aware Interpretable Kolmogorov-Arnold Classical-Quantum Dual-Channel Neural Network for Heart Disease Detection
• ProKAN: Progressive Stacking of Kolmogorov-Arnold Networks for Efficient Liver Segmentation
• Enhancing Long-Range Dependency with State Space Model and Kolmogorov-Arnold Networks for Aspect-Based Sentiment Analysis
• An Investigation on the Potential of KAN in Speech Enhancement
• Quantum Detection of Recurrent Dynamics
• KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics
• Realizability-Informed Machine Learning for Turbulence Anisotropy Mappings
• Scattering-Based Structural Inversion of Soft Materials via Kolmogorov-Arnold Networks
• Granger Causality Detection with Kolmogorov-Arnold Networks
• PowerMLP: An Efficient Version of KAN
• KA-GNN: Kolmogorov-Arnold Graph Neural Networks for Molecular Property Prediction
• Anomalous Diffusion in the Square Soft Lorentz Gas
• PointNet with KAN versus PointNet with MLP for 3D Classification and Segmentation of Point Sets
• Predicting Crack Nucleation and Propagation in Brittle Materials Using Deep Operator Networks with Diverse Trunk Architectures
• A Gated Residual Kolmogorov-Arnold Networks for Mixtures of Experts
• WormKAN: Are KAN Effective for Identifying and Tracking Concept Drift in Time Series?
• Addressing common misinterpretations of KART and UAT in neural network literature
• On the Robustness of Kolmogorov-Arnold Networks: An Adversarial Perspective
• Biology-inspired joint distribution neurons based on Hierarchical Correlation Reconstruction allowing for multidirectional neural networks
• KANQAS: Kolmogorov-Arnold Network for Quantum Architecture Search
• You KAN Do It in a Single Shot: Plug-and-Play Methods with Single-Instance Priors
• CIKAN: Constraint Informed Kolmogorov-Arnold Networks for Autonomous Spacecraft Rendezvous using Time Shift Governor
• Hybrid deep additive neural networks
• Exploring Kolmogorov-Arnold networks for realistic image sharpness assessment
• Generalization Bounds and Model Complexity for Kolmogorov-Arnold Networks
• Explainable fault and severity classification for rolling element bearings using Kolmogorov-Arnold networks
• Neural Network Modeling of Heavy-Quark Potential from Holography
• Enhanced Photovoltaic Power Forecasting: An iTransformer and LSTM-Based Model Integrating Temporal and Covariate Interactions
• Beyond Tree Models: A Hybrid Model of KAN and gMLP for Large-Scale Financial Tabular Data
• ECG-SleepNet: Deep Learning-Based Comprehensive Sleep Stage Classification Using ECG Signals
• Option Pricing with Convolutional Kolmogorov-Arnold Networks
• Non-linear Equalization in 112 Gb/s PONs Using Kolmogorov-Arnold Networks
• KANs for Computer Vision: An Experimental Study
• Lyapunov stability under qq-dilatation and qq-contraction of coordinates
• KAN See Your Face
• KACDP: A Highly Interpretable Credit Default Prediction Model
• Learnable Activation Functions in Physics-Informed Neural Networks for Solving Partial Differential Equations
• Dressing the Imagination: A Dataset for AI-Powered Translation of Text into Fashion Outfits and A Novel KAN Adapter for Enhanced Feature Adaptation
• Contrast Similarity-Aware Dual-Pathway Mamba for Multivariate Time Series Node Classification
• KAN/MultKAN with Physics-Informed Spline fitting (KAN-PISF) for ordinary/partial differential equation discovery of nonlinear dynamic systems
• KAN-Mamba FusionNet: Redefining Medical Image Segmentation with Non-Linear Modeling
• KAT to KANs: A Review of Kolmogorov-Arnold Networks and the Neural Leap Forward
• Can KAN Work? Exploring the Potential of Kolmogorov-Arnold Networks in Computer Vision
• EAPCR: A Universal Feature Extractor for Scientific Data without Explicit Feature Relation Patterns
• KLCBL: An Improved Police Incident Classification Model
• SPIKANs: Separable Physics-Informed Kolmogorov-Arnold Networks
• Early Prediction of Natural Gas Pipeline Leaks Using the MKTCN Model
• GNN-SKAN: Harnessing the Power of SwallowKAN to Advance Molecular Representation Learning with GNNs
• A Survey on Kolmogorov-Arnold Network
• F-KANs: Federated Kolmogorov-Arnold Networks
• TCKAN:A Novel Integrated Network Model for Predicting Mortality Risk in Sepsis Patients
• On Training of Kolmogorov-Arnold Networks
• Physics-informed Kolmogorov-Arnold Network with Chebyshev Polynomials for Fluid Mechanics
• Human-in-the-Loop Feature Selection Using Interpretable Kolmogorov-Arnold Network-based Double Deep Q-Network
• Fairness-Utilization Trade-off in Wireless Networks with Explainable Kolmogorov-Arnold Networks
• A KAN-based Interpretable Framework for Process-Informed Prediction of Global Warming Potential
• BSRBF-KAN: A combination of B-splines and Radial Basis Functions in Kolmogorov-Arnold Networks
• KANsformer for Scalable Beamforming
• NIDS Neural Networks Using Sliding Time Window Data Processing with Trainable Activations and its Generalization Capability
• LArctan-SKAN: Simple and Efficient Single-Parameterized Kolmogorov-Arnold Networks using Learnable Trigonometric Function
• Deep-MacroFin: Informed Equilibrium Neural Network for Continuous Time Economic Models
• P1-KAN an effective Kolmogorov Arnold Network for function approximation
• KANICE: Kolmogorov-Arnold Networks with Interactive Convolutional Elements
• From PINNs to PIKANs: Recent Advances in Physics-Informed Machine Learning
• Kaninfradet3D:A Road-side Camera-LiDAR Fusion 3D Perception Model based on Nonlinear Feature Extraction and Intrinsic Correlation
• Integrating Symbolic Neural Networks with Building Physics: A Study and Proposal
• LSS-SKAN: Efficient Kolmogorov-Arnold Networks based on Single-Parameterized Function
• HiPPO-KAN: Efficient KAN Model for Time Series Analysis
• Multifidelity Kolmogorov-Arnold Networks
• Suitability of KANs for Computer Vision: A preliminary investigation
• Exploring the Potential of Polynomial Basis Functions in Kolmogorov-Arnold Networks: A Comparative Study of Different Groups of Polynomials
• MLP, XGBoost, KAN, TDNN, and LSTM-GRU Hybrid RNN with Attention for SPX and NDX European Call Option Pricing
• EPi-cKANs: Elasto-Plasticity Informed Kolmogorov-Arnold Networks Using Chebyshev Polynomials
• Evaluating Federated Kolmogorov-Arnold Networks on Non-IID Data
• Kolmogorov-Arnold Neural Networks for High-Entropy Alloys Design
• The Proof of Kolmogorov-Arnold May Illuminate Neural Network Learning
• Baseflow identification via explainable AI with Kolmogorov-Arnold networks
• On the Convergence of (Stochastic) Gradient Descent for Kolmogorov--Arnold Networks
• Adaptive Training of Grid-Dependent Physics-Informed Kolmogorov-Arnold Networks
• Unveiling the Power of Wavelets: A Wavelet-based Kolmogorov-Arnold Network for Hyperspectral Image Classification
• Probabilistic Kolmogorov-Arnold Network
• Art Forgery Detection using Kolmogorov Arnold and Convolutional Neural Networks
• QKAN: Quantum Kolmogorov-Arnold Networks
• Quantum Kolmogorov-Arnold networks by combining quantum signal processing circuits
• Sinc Kolmogorov-Arnold Network and Its Applications on Physics-informed Neural Networks
• MLP-KAN: Unifying Deep Representation and Function Learning
• Uncertainty Quantification with Bayesian Higher Order ReLU KANs
• Kolmogorov-Arnold Network Autoencoders
• Model Comparisons: XNet Outperforms KAN
• TabKANet: Tabular Data Modeling with Kolmogorov-Arnold Network and Transformer
• KANOP: A Data-Efficient Option Pricing Model using Kolmogorov-Arnold Networks
• PPLNs: Parametric Piecewise Linear Networks for Event-Based Temporal Modeling and Beyond
• Higher-order-ReLU-KANs (HRKANs) for solving physics-informed neural networks (PINNs) more accurately, robustly and faster
• A preliminary study on continual learning in computer vision using Kolmogorov-Arnold Networks
• 2D and 3D Deep Learning Models for MRI-based Parkinson's Disease Classification: A Comparative Analysis of Convolutional Kolmogorov-Arnold Networks, Convolutional Neural Networks, and Graph Convolutional Networks
• Application of Kolmogorov-Arnold Networks in high energy physics
• Data-driven model discovery with Kolmogorov-Arnold networks
• ASPINN: An asymptotic strategy for solving singularly perturbed differential equations
• Can KAN CANs? Input-convex Kolmogorov-Arnold Networks (KANs) as hyperelastic constitutive artificial neural networks (CANs)
• NukesFormers: Unpaired Hyperspectral Image Generation with Non-Uniform Domain Alignment
• Exploring Adversarial Transferability between Kolmogorov-arnold Networks
• AF-KAN: Activation Function-Based Kolmogorov-Arnold Networks for Efficient Representation Learning
• On the analog of the Kolmogorov-Arnold superposition representation for continuous functions of several pp-adic variables
• KAN-Mixers: a new deep learning architecture for image classification
• Kolmogorov-Arnold Attention: Is Learnable Attention Better For Vision Transformers?
• Extracting Transport Properties of Quark-Gluon Plasma from the Heavy-Quark Potential With Neural Networks in a Holographic Model
• From Zero to Detail: Deconstructing Ultra-High-Definition Image Restoration from Progressive Spectral Perspective
• A Comprehensive Overview and Comparative Analysis on Deep Learning Models: CNN, RNN, LSTM, GRU
• P1-KAN: an effective Kolmogorov-Arnold network with application to hydraulic valley optimization
• HyperKAN: Hypergraph Representation Learning with Kolmogorov-Arnold Networks
• Color Matching Using Hypernetwork-Based Kolmogorov-Arnold Networks
• KANITE: Kolmogorov-Arnold Networks for ITE estimation
• Kolmogorov-Arnold Network for Transistor Compact Modeling
• Semi-KAN: KAN Provides an Effective Representation for Semi-Supervised Learning in Medical Image Segmentation
• Surrogate Learning in Meta-Black-Box Optimization: A Preliminary Study
• On the analog of the Kolmogorov-Arnold superposition representation for continuous functions of several ppp-adic variables
• Identifying Ising and percolation phase transitions based on KAN method
• Prompt-Guided Dual-Path UNet with Mamba for Medical Image Segmentation
• Gamma-Ray Burst Light Curve Reconstruction: A Comparative Machine and Deep Learning Analysis
• Adaptive Variational Quantum Kolmogorov-Arnold Network
• KAC: Kolmogorov-Arnold Classifier for Continual Learning
• Enhanced Variational Quantum Kolmogorov-Arnold Network
• Introducing the Short-Time Fourier Kolmogorov Arnold Network: A Dynamic Graph CNN Approach for Tree Species Classification in 3D Point Clouds
• Enhancing Physics-Informed Neural Networks with a Hybrid Parallel Kolmogorov-Arnold and MLP Architecture
• Function Fitting Based on Kolmogorov-Arnold Theorem and Kernel Functions
• Graph Kolmogorov-Arnold Networks for Multi-Cancer Classification and Biomarker Identification, An Interpretable Multi-Omics Approach
• GKAN: Explainable Diagnosis of Alzheimer's Disease Using Graph Neural Network with Kolmogorov-Arnold Networks
• Advancing Cosmological Parameter Estimation and Hubble Parameter Reconstruction with Long Short-Term Memory and Efficient-Kolmogorov-Arnold Networks
• Adversarial KA
• Solving the fully nonlinear Monge-Ampère equation using the Legendre-Kolmogorov-Arnold Network method
• asKAN: Active Subspace embedded Kolmogorov-Arnold Network
• Extending Cox Proportional Hazards Model with Symbolic Non-Linear Log-Risk Functions for Survival Analysis
• DeepOHeat-v1: Efficient Operator Learning for Fast and Trustworthy Thermal Simulation and Optimization in 3D-IC Design
• Improving Brain Disorder Diagnosis with Advanced Brain Function Representation and Kolmogorov-Arnold Networks
• Opening the Black-Box: Symbolic Regression with Kolmogorov-Arnold Networks for Energy Applications
• KAN-SAM: Kolmogorov-Arnold Network Guided Segment Anything Model for RGB-T Salient Object Detection
• HSR-KAN: Efficient Hyperspectral Image Super-Resolution via Kolmogorov-Arnold Networks
• Representation Meets Optimization: Training PINNs and PIKANs for Gray-Box Discovery in Systems Pharmacology
• TabKAN: Advancing Tabular Data Analysis using Kolmograv-Arnold Network
• Physics-informed KAN PointNet: Deep learning for simultaneous solutions to inverse problems in incompressible flow on numerous irregular geometries
• Proteinoid spikes: from protocognitive to universal approximating agents
• A Case for Kolmogorov-Arnold Networks in Prefetching: Towards Low-Latency, Generalizable ML-Based Prefetchers
• MLPs and KANs for data-driven learning in physical problems: A performance comparison
• GPT Meets Graphs and KAN Splines: Testing Novel Frameworks on Multitask Fine-Tuned GPT-2 with LoRA
• Approximation Bounds for Transformer Networks with Application to Regression
• Towards Explainable Fusion and Balanced Learning in Multimodal Sentiment Analysis
• Are prime numbers and quadratic residues random?
• ChemKANs for Combustion Chemistry Modeling and Acceleration
• Finding periodic orbits in projected quantum many-body dynamics
• KAN or MLP? Point Cloud Shows the Way Forward
• Transformers Can Overcome the Curse of Dimensionality: A Theoretical Study from an Approximation Perspective
• Quantum precursors to Kolmogorov-Arnold-Moser theorem in Floquet spin-JJ systems
• Conformalized-KANs: Uncertainty Quantification with Coverage Guarantees for Kolmogorov-Arnold Networks (KANs) in Scientific Machine Learning
• Kolmogorov-Arnold Networks: Approximation and Learning Guarantees for Functions and their Derivatives
• Efficient Implicit Neural Compression of Point Clouds via Learnable Activation in Latent Space
• DualKanbaFormer: An Efficient Selective Sparse Framework for Multimodal Aspect-based Sentiment Analysis
• DAE-KAN: A Kolmogorov-Arnold Network Model for High-Index Differential-Algebraic Equations
• iTFKAN: Interpretable Time Series Forecasting with Kolmogorov-Arnold Network
• A Unified Benchmark of Federated Learning with Kolmogorov-Arnold Networks for Medical Imaging
• FiberKAN: Kolmogorov-Arnold Networks for Nonlinear Fiber Optics
• TabKAN: Advancing Tabular Data Analysis using Kolmogorov-Arnold Network
• Anant-Net: Breaking the Curse of Dimensionality with Scalable and Interpretable Neural Surrogate for High-Dimensional PDEs
• -functions, synchronization, and Arnold tongues for coupled stochastic oscillators
• Novel Extraction of Discriminative Fine-Grained Feature to Improve Retinal Vessel Segmentation
• Prediction via Shapley Value Regression
• Hyb-KAN ViT: Hybrid Kolmogorov-Arnold Networks Augmented Vision Transformer
• Improving Generalizability of Kolmogorov-Arnold Networks via Error-Correcting Output Codes
• OccuEMBED: Occupancy Extraction Merged with Building Energy Disaggregation for Occupant-Responsive Operation at Scale
• Enhancing Federated Learning with Kolmogorov-Arnold Networks: A Comparative Study Across Diverse Aggregation Strategies
• Geometry of Almost-Conserved Quantities in Symplectic Maps. Part III: Approximate Invariants in Nonlinear Accelerator Systems
• Mixer-Informer-Based Two-Stage Transfer Learning for Long-Sequence Load Forecasting in Newly Constructed Electric Vehicle Charging Stations
• AC-PKAN: Attention-Enhanced and Chebyshev Polynomial-Based Physics-Informed Kolmogorov-Arnold Networks
• Symbolic Regression with Multimodal Large Language Models and Kolmogorov Arnold Networks
• Personalized Control for Lower Limb Prosthesis Using Kolmogorov-Arnold Networks
• Interpretable Artificial Intelligence for Topological Photonics
• A Kolmogorov-Arnold Neural Model for Cascading Extremes
• KHRONOS: a Kernel-Based Neural Architecture for Rapid, Resource-Efficient Scientific Computation
• MedVKAN: Efficient Feature Extraction with Mamba and KAN for Medical Image Segmentation
• Interpretable Reinforcement Learning for Load Balancing using Kolmogorov-Arnold Networks
• X-KAN: Optimizing Local Kolmogorov-Arnold Networks via Evolutionary Rule-Based Machine Learning
• FlashKAT: Understanding and Addressing Performance Bottlenecks in the Kolmogorov-Arnold Transformer
• From KAN to GR-KAN: Advancing Speech Enhancement with KAN-Based Methodology
• Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks
• Khan-GCL: Kolmogorov-Arnold Network Based Graph Contrastive Learning with Hard Negatives
• Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement
• "KAN you hear me?" Exploring Kolmogorov-Arnold Networks for Spoken Language Understanding
• KAN we improve on HEP classification tasks? Kolmogorov-Arnold Networks applied to an LHC physics example
• Kolmogorov-Arnold Networks for Turbulence Anisotropy Mapping
• TK-Mamba: Marrying KAN with Mamba for Text-Driven 3D Medical Image Segmentation
• COLORA: Efficient Fine-Tuning for Convolutional Models with a Study Case on Optical Coherence Tomography Image Classification
• Input Convex Kolmogorov Arnold Networks
• FMEnets: Flow, Material, and Energy networks for non-ideal plug flow reactor design
• Taylor expansion-based Kolmogorov-Arnold network for blind image quality assessment
• Automated Modeling Method for Pathloss Model Discovery
• Localized Weather Prediction Using Kolmogorov-Arnold Network-Based Models and Deep RNNs
• Kolmogorov-Arnold Graph Neural Networks
• How can AI reduce fall injuries in the workplace?
• SPPSFormer: High-quality Superpoint-based Transformer for Roof Plane Instance Segmentation from Point Clouds
• Beyond KAN: Introducing KarSein for Adaptive High-Order Feature Interaction Modeling in CTR Prediction
• Probing Quantum Spin Systems with Kolmogorov-Arnold Neural Network Quantum States
• Kolmogorov-Arnold Wavefunctions
• KAN-HyperpointNet for Point Cloud Sequence-Based 3D Human Action Recognition
• Multi-Exit Kolmogorov-Arnold Networks: enhancing accuracy and parsimony
• Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs
• Improving Memory Efficiency for Training KANs via Meta Learning
• Dynamical thermalization, Rayleigh-Jeans condensate, vortexes and wave collapse in quantum chaos fibers and fluid of light
• Dynamic Graph CNN with Jacobi Kolmogorov-Arnold Networks for 3D Classification of Point Sets
• UKAN-EP: Enhancing U-KAN with Efficient Attention and Pyramid Aggregation for 3D Multi-Modal MRI Brain Tumor Segmentation
• System Identification Using Kolmogorov-Arnold Networks: A Case Study on Buck Converters
• Kolmogorov-Arnold Network for Gene Regulatory Network Inference
• The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods
• TFKAN: Time-Frequency KAN for Long-Term Time Series Forecasting
• Structured and Informed Probabilistic Modeling with the Thermodynamic Kolmogorov-Arnold Model
• Pushing the Performance of Synthetic Speech Detection with Kolmogorov-Arnold Networks and Self-Supervised Learning Models
• Rethinking Distributional IVs: KAN-Powered D-IV-LATE & Model Choice
• ss-Mamba: Semantic-Spline Selective State-Space Model
• State-Space Kolmogorov Arnold Networks for Interpretable Nonlinear System Identification
• Structured Kolmogorov-Arnold Neural ODEs for Interpretable Learning and Symbolic Discovery of Nonlinear Dynamics
• Optimization by VarQITE on Adaptive Variational Quantum Kolmogorov-Arnold Network
• QuKAN: A Quantum Circuit Born Machine approach to Quantum Kolmogorov Arnold Networks
• Five-Gene Expression Formula Accurately Detects Hepatocellular Carcinoma Tumors
• Conditions for solving polynomial equations using algebraic and hypergeometric functions
• Variational Kolmogorov-Arnold Network
• Bridging KAN and MLP: MJKAN, a Hybrid Architecture with Both Efficiency and Expressiveness
• Exploring Kolmogorov-Arnold Network Expansions in Vision Transformers for Mitigating Catastrophic Forgetting in Continual Learning
• Structured Generative Modeling with the Thermodynamic Kolmogorov-Arnold Model
• Towards Interpretable PolSAR Image Classification: Polarimetric Scattering Mechanism Informed Concept Bottleneck and Kolmogorov-Arnold Network
• KAConvText: Novel Approach to Burmese Sentence Classification using Kolmogorov-Arnold Convolution
• Capsule-ConvKAN: A Hybrid Neural Approach to Medical Image Classification
• DMF2Mel: A Dynamic Multiscale Fusion Network for EEG-Driven Mel Spectrogram Reconstruction
• Minimum-norm interpolation for unknown surface reconstruction
• Discontinuity-aware KAN-based physics-informed neural networks
• Application of interpretable data-driven methods for the reconstruction of supernova neutrino energy spectra following fast neutrino flavor conversions
• Contrastive-KAN: A Semi-Supervised Intrusion Detection Framework for Cybersecurity with scarce Labeled Data
• FORTRESS: Function-composition Optimized Real-Time Resilient Structural Segmentation via Kolmogorov-Arnold Enhanced Spatial Attention Networks
• Kolmogorov Arnold Networks (KANs) for Imbalanced Data -- An Empirical Perspective
• Kolmogorov-Arnold Networks-based GRU and LSTM for Loan Default Early Prediction
• Improving KAN with CDF normalization to quantiles
• KASPER: Kolmogorov Arnold Networks for Stock Prediction and Explainable Regimes
• Interpretable Graph Kolmogorov-Arnold Networks for Multi-Cancer Classification and Biomarker Identification using Multi-Omics Data
• Multi-Resolution Training-Enhanced Kolmogorov-Arnold Networks for Multi-Scale PDE Problems
• Universal Relation Between Quantum Entanglement and Particle Transport
• Kolmogorov Arnold Network Autoencoder in Medicine
• MedViT V2: Medical Image Classification with KAN-Integrated Transformers and Dilated Neighborhood Attention
• Beyond Linear Bottlenecks: Spline-Based Knowledge Distillation for Culturally Diverse Art Style Classification
• A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains
• Scientific Machine Learning with Kolmogorov-Arnold Networks
• KFS: KAN based adaptive Frequency Selection learning architecture for long term time series forecasting
• Sinusoidal Approximation Theorem for Kolmogorov-Arnold Networks
• Is Quantum Mechanics a proper subset of Classical Mechanics?
• KANMixer: Can KAN Serve as a New Modeling Core for Long-term Time Series Forecasting?
• Baseline-free Damage Detection and Localization on Composite Structures with Unsupervised Kolmogorov-Arnold Autoencoder and Guided Waves
• Unifying Locality of KANs and Feature Drift Compensation for Data-free Continual Face Forgery Detection
• Comparative Evaluation of Kolmogorov-Arnold Autoencoders and Orthogonal Autoencoders for Fault Detection with Varying Training Set Sizes
• Approximation Rates in Besov Norms and Sample-Complexity of Kolmogorov-Arnold Networks with Residual Connections
• Explicit Construction of Approximate Kolmogorov-Arnold Superpositions with C2-Smoothness
• Optimizing IoT Threat Detection with Kolmogorov-Arnold Networks (KANs)
• AHDMIL: Asymmetric Hierarchical Distillation Multi-Instance Learning for Fast and Accurate Whole-Slide Image Classification
• LuKAN: A Kolmogorov-Arnold Network Framework for 3D Human Motion Prediction
• An Interpretable Multi-Plane Fusion Framework With Kolmogorov-Arnold Network Guided Attention Enhancement for Alzheimer's Disease Diagnosis
• Scientifically-Interpretable Reasoning Network (ScIReN): Discovering Hidden Relationships in the Carbon Cycle and Beyond
• KARMA: Efficient Structural Defect Segmentation via Kolmogorov-Arnold Representation Learning
• Watermarking Kolmogorov-Arnold Networks for Emerging Networked Applications via Activation Perturbation
• Transferring Social Network Knowledge from Multiple GNN Teachers to Kolmogorov-Arnold Networks
• Stationarity Exploration for Multivariate Time Series Forecasting
• Combating Noisy Labels via Dynamic Connection Masking
• Unifying Locality of KANs and Feature Drift Compensation Projection for Data-free Replay based Continual Face Forgery Detection
• Enhancing Graph Collaborative Filtering with FourierKAN Feature Transformation
• KAN-HAR: A Human activity recognition based on Kolmogorov-Arnold Network
• Skin Cancer Classification: Hybrid CNN-Transformer Models with KAN-Based Fusion
• Combinations of Fast Activation and Trigonometric Functions in Kolmogorov-Arnold Networks
• The Wrath of KAN: Enabling Fast, Accurate, and Transparent Emulation of the Global 21 cm Cosmology Signal
• Conditionally adaptive augmented Lagrangian method for physics-informed learning of forward and inverse problems using artificial neural networks
• Unveiling the Actual Performance of Neural-based Models for Equation Discovery on Graph Dynamical Systems
• Programmable k-local Ising Machines and all-optical Kolmogorov-Arnold Networks on Photonic Platforms
• E-BayesSAM: Efficient Bayesian Adaptation of SAM with Self-Optimizing KAN-Based Interpretation for Uncertainty-Aware Ultrasonic Segmentation
• Optimizing the Optimizer for Physics-Informed Neural Networks and Kolmogorov-Arnold Networks
• Optimizing Neural Networks with Learnable Non-Linear Activation Functions via Lookup-Based FPGA Acceleration
• Physics-Informed Kolmogorov-Arnold Networks for multi-material elasticity problems in electronic packaging
• QuadKAN: KAN-Enhanced Quadruped Motion Control via End-to-End Reinforcement Learning
• Lightweight posterior construction for gravitational-wave catalogs with the Kolmogorov-Arnold network
• Fractal Flow: Hierarchical and Interpretable Normalizing Flow via Topic Modeling and Recursive Strategy
• Symbolic Equation Modeling of Composite Loads: A Kolmogorov-Arnold Network based Learning Approach
• Kolmogorov-Arnold Representation for Symplectic Learning: Advancing Hamiltonian Neural Networks
• Emulating Global 21 cm Cosmology Observations from the Lunar Far Side to Achieve Quick and Reliable Physical Constraints
• An Efficient GNNs-to-KANs Distillation via Self-Attention Dynamic Sampling with Potential for Consumer Electronics Edge Deployment
• Applying Deep Learning to Anomaly Detection of Russian Satellite Activity for Indications Prior to Military Activity
• Initialization Schemes for Kolmogorov-Arnold Networks: An Empirical Study
• AR-KAN: Autoregressive-Weight-Enhanced Kolmogorov-Arnold Network for Time Series Forecasting
• Toward a robust lesion detection model in breast DCE-MRI: adapting foundation models to high-risk women
• A Kolmogorov-Arnold Network for Interpretable Cyberattack Detection in AGC Systems
• An Interpretable AI Framework to Disentangle Self-Interacting and Cold Dark Matter in Galaxy Clusters: The CKAN Approach
• Hardware Acceleration of Kolmogorov-Arnold Network (KAN) in Large-Scale Systems
• Lookup multivariate Kolmogorov-Arnold Networks
• KAN-Therm: A Lightweight Battery Thermal Model Using Kolmogorov-Arnold Network
• A Conflicts-free, Speed-lossless KAN-based Reinforcement Learning Decision System for Interactive Driving in Roundabouts
• Time Quasi-Periodic Three-dimensional Traveling Gravity Water Waves
• KAN-SR: A Kolmogorov-Arnold Network Guided Symbolic Regression Framework
• Multimodal Regression for Enzyme Turnover Rates Prediction
• Task-Agnostic Learnable Weighted-Knowledge Base Scheme for Robust Semantic Communications
• Kolmogorov-Arnold Networks: A Critical Assessment of Claims, Performance, and Practical Viability
• SOH-KLSTM: A Hybrid Kolmogorov-Arnold Network and LSTM Model for Enhanced Lithium-Ion Battery Health Monitoring
• Spontaneous Kolmogorov-Arnold Geometry in Shallow MLPs
• Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks
• Taylor-Series Expanded Kolmogorov-Arnold Network for Medical Imaging Classification
• FunKAN: Functional Kolmogorov-Arnold Network for Medical Image Enhancement and Segmentation
• KANO: Kolmogorov-Arnold Neural Operator
• Interpretable Clinical Classification with Kolgomorov-Arnold Networks
• Evolvable Graph Diffusion Optimal Transport with Pattern-Specific Alignment for Brain Connectome Modeling
• Physics-informed time series analysis with Kolmogorov-Arnold Networks under Ehrenfest constraints
• Diffusion Policies with Offline and Inverse Reinforcement Learning for Promoting Physical Activity in Older Adults Using Wearable Sensors
• Process-Informed Forecasting of Complex Thermal Dynamics in Pharmaceutical Manufacturing
• A HyperGraphMamba-Based Multichannel Adaptive Model for ncRNA Classification
• Projective Kolmogorov Arnold Neural Networks (P-KANs): Entropy-Driven Functional Space Discovery for Interpretable Machine Learning
• On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators
• TSKAN: Interpretable Machine Learning for QoE modeling over Time Series Data
• CausalKANs: interpretable treatment effect estimation with Kolmogorov-Arnold networks
• U-MAN: U-Net with Multi-scale Adaptive KAN Network for Medical Image Segmentation
• Accurate Surrogate Amplitudes with Calibrated Uncertainties
• Foggy Crowd Counting: Combining Physical Priors and KAN-Graph
• FS-KAN: Permutation Equivariant Kolmogorov-Arnold Networks via Function Sharing
• Splines-Based Feature Importance in Kolmogorov-Arnold Networks: A Framework for Supervised Tabular Data Dimensionality Reduction
• FMC-DETR: Frequency-Decoupled Multi-Domain Coordination for Aerial-View Object Detection
• Learning KAN-based Implicit Neural Representations for Deformable Image Registration
• Proposal of method to solve a Traveling Salesman Problem using Variational Quantum Kolmogorov-Arnold Network
• Heterogeneous Multi-agent Collaboration in UAV-assisted Mobile Crowdsensing Networks
• LEMs: A Primer On Large Execution Models
• LAKAN: Landmark-assisted Adaptive Kolmogorov-Arnold Network for Face Forgery Detection
• Shift-Invariant Attribute Scoring for Kolmogorov-Arnold Networks via Shapley Value
• Kolmogorov-Arnold Networks in Thermoelectric Materials Design
• PolyKAN: A Polyhedral Analysis Framework for Provable and Minimal KAN Compression
• BEKAN: Boundary condition-guaranteed evolutionary Kolmogorov-Arnold networks with radial basis functions for solving PDE problems
• Want to train KANS at scale? Now UKAN!
• Function regression using the forward forward training and inferring paradigm
• XLSR-Kanformer: A KAN-Intergrated model for Synthetic Speech Detection
• PolyKAN: A Polyhedral Analysis Framework for Provable and Approximately Optimal KAN Compression
• PIKAN: Physics-Inspired Kolmogorov-Arnold Networks for Explainable UAV Channel Modelling
• DGTEN: A Robust Deep Gaussian based Graph Neural Network for Dynamic Trust Evaluation with Uncertainty-Quantification Support
• PO-CKAN:Physics Informed Deep Operator Kolmogorov Arnold Networks with Chunk Rational Structure
• QuIRK: Quantum-Inspired Re-uploading KAN
• EGSTalker: Real-Time Audio-Driven Talking Head Generation with Efficient Gaussian Deformation
• Incommensurate Twisted Bilayer Graphene: emerging quasi-periodicity and stability
• CKANIO: Learnable Chebyshev Polynomials for Inertial Odometry
• A Primer on Kolmogorov-Arnold Networks (KANs) for Probabilistic Time Series Forecasting
• UKANFormer: Noise-Robust Semantic Segmentation for Coral Reef Mapping via a Kolmogorov-Arnold Network-Transformer Hybrid
• From Hyperbolic to Non-Hyperbolic Open Billiards: An Entropy and Scaling Law Approach
• MetaCluster: Enabling Deep Compression of Kolmogorov-Arnold Network
• Towards Deep Physics-Informed Kolmogorov-Arnold Networks
• Seeing Structural Failure Before it Happens: An Image-Based Physics-Informed Neural Network (PINN) for Spaghetti Bridge Load Prediction
• Awakening Facial Emotional Expressions in Human-Robot
• K-DAREK: Distance Aware Error for Kurkova Kolmogorov Networks
• Physics-Inspired Gaussian Kolmogorov-Arnold Networks for X-ray Scatter Correction in Cone-Beam CT
• Bridging Function Approximation and Device Physics via Negative Differential Resistance Networks
• Kolmogorov-Arnold Energy Models: Fast and Interpretable Generative Modeling
• KAN-GCN: Combining Kolmogorov-Arnold Network with Graph Convolution Network for an Accurate Ice Sheet Emulator
• Stiff Circuit System Modeling via Transformer
• A Practitioner's Guide to Kolmogorov-Arnold Networks
• Interpretable Machine Learning for Reservoir Water Temperatures in the U.S. Red River Basin of the South
• CG-FKAN: Compressed-Grid Federated Kolmogorov-Arnold Networks for Communication Constrained Environment
• One model to solve them all: 2BSDE families via neural operators
• As Good as It KAN Get: High-Fidelity Audio Representation
• A Hybrid CNN-Cheby-KAN Framework for Efficient Prediction of Two-Dimensional Airfoil Pressure Distribution
• Hybrid DeepONet Surrogates for Multiphase Flow in Porous Media
• When Swin Transformer Meets KANs: An Improved Transformer Architecture for Medical Image Segmentation
• KAN-Enhanced Contrastive Learning Accelerating Crystal Structure Identification from XRD Patterns
• GroupKAN: Rethinking Nonlinearity with Grouped Spline-based KAN Modeling for Efficient Medical Image Segmentation
• Design Principles of Zero-Shot Self-Supervised Unknown Emitter Detectors
• SFFR: Spatial-Frequency Feature Reconstruction for Multispectral Aerial Object Detection
• An uncertainty-aware physics-informed neural network solution for the Black-Scholes equation: a novel framework for option pricing
• Automatic Grid Updates for Kolmogorov-Arnold Networks using Layer Histograms
• Symmetries and Weighted Integrability of Vector Fields with Jacobi Multipliers
• Measuring FPUT thermalization with Toda integrals
• Kolmogorov-Arnold Chemical Reaction Neural Networks for learning pressure-dependent kinetic rate laws
• Adaptive graph Kolmogorov-Arnold network for 3D human pose estimation
• Learning the Basis: A Kolmogorov-Arnold Network Approach Embedding Green's Function Priors
• Learning Topology-Driven Multi-Subspace Fusion for Grassmannian Deep Network
• Physics-informed Machine Learning for Static Friction Modeling in Robotic Manipulators Based on Kolmogorov-Arnold Networks
• BubbleOKAN: A Physics-Informed Interpretable Neural Operator for High-Frequency Bubble Dynamics
• The modified Physics-Informed Hybrid Parallel Kolmogorov--Arnold and Multilayer Perceptron Architecture with domain decomposition
• Learning Implicit Neural Degradation Representation for Unpaired Image Dehazing
• Catastrophic Forgetting in Kolmogorov-Arnold Networks
• Finite basis Kolmogorov-Arnold networks: domain decomposition for data-driven and physics-informed problems
• Learning Fair Representations with Kolmogorov-Arnold Networks
• KAN/H: Kolmogorov-Arnold Network using Haar-like bases
• GROVER: Graph-guided Representation of Omics and Vision with Expert Regulation for Adaptive Spatial Multi-omics Fusion
• KANGURA: Kolmogorov-Arnold Network-Based Geometry-Aware Learning with Unified Representation Attention for 3D Modeling of Complex Structures
• Addressing the gravitational collapse of a massless scalar field with Physics-Informed Neural Networks
• Fourier-KAN-Mamba: A Novel State-Space Equation Approach for Time-Series Anomaly Detection
• An Interpretable Federated Learning Control Framework Design for Smart Grid Resilience
• PolyKAN: Efficient Fused GPU Operators for Polynomial Kolmogorov-Arnold Network Variants
• MonoKAN: Certified Monotonic Kolmogorov-Arnold Network
• RadioKMoE: Knowledge-Guided Radiomap Estimation with Kolmogorov-Arnold Networks and Mixture-of-Experts
• Physics-informed Neural Operator Learning for Nonlinear Grad-Shafranov Equation
• WaveTuner: Comprehensive Wavelet Subband Tuning for Time Series Forecasting
• QuantKAN: A Unified Quantization Framework for Kolmogorov Arnold Networks
• KAN vs LSTM Performance in Time Series Forecasting
• DE-KAN: A Kolmogorov Arnold Network with Dual Encoder for accurate 2D Teeth Segmentation
• TK-Mamba: Marrying KAN With Mamba for Text-Driven 3D Medical Image Segmentation
• Scale-Agnostic Kolmogorov-Arnold Geometry in Neural Networks
• SUPN: Shallow Universal Polynomial Networks
• Enhancing Burmese News Classification with Kolmogorov-Arnold Network Head Fine-tuning
• Multi-Modal Scene Graph with Kolmogorov-Arnold Experts for Audio-Visual Question Answering
• AdS/Deep-Learning made easy II: neural network-based approaches to holography and inverse problems
• Refining Heuristic Predictors of Fractional Chern Insulators using Machine Learning
• DB-KAUNet: An Adaptive Dual Branch Kolmogorov-Arnold UNet for Retinal Vessel Segmentation
• Scalable and Interpretable Scientific Discovery via Sparse Variational Gaussian Process Kolmogorov-Arnold Networks (SVGP KAN)
• KAN-SAs: Efficient Acceleration of Kolmogorov-Arnold Networks on Systolic Arrays
• Assessing the performance of correlation-based multi-fidelity neural emulators
• Symbolic Learning of Topological Bands in Photonic Crystals
• QKAN-LSTM: Quantum-inspired Kolmogorov-Arnold Long Short-term Memory
• KANFormer for Predicting Fill Probabilities via Survival Analysis in Limit Order Books
• The T12 System for AudioMOS Challenge 2025: Audio Aesthetics Score Prediction System Using KAN- and VERSA-based Models
• Uncertainty Quantification for Scientific Machine Learning using Sparse Variational Gaussian Process Kolmogorov-Arnold Networks (SVGP KAN)
• Trapped Fermions Through Kolmogorov-Arnold Wavefunctions
• KAN-Dreamer: Benchmarking Kolmogorov-Arnold Networks as Function Approximators in World Models
• Conditionally adaptive augmented Lagrangian method for physics-informed learning of forward and inverse problems
• Entanglement Witness Derived By Using Kolmogorov-Arnold Networks
• Softly Symbolifying Kolmogorov-Arnold Networks
• GS-KAN: Parameter-Efficient Kolmogorov-Arnold Networks via Sprecher-Type Shared Basis Functions
• Dressing the Imagination: A Dataset for AI-Powered Translation of Text into Fashion Outfits and A Novel NeRA Adapter for Enhanced Feature Adaptation
• Solving the Cosmological Vlasov-Poisson Equations with Physics-Informed Kolmogorov-Arnold Networks
• Generative Adversarial Variational Quantum Kolmogorov-Arnold Network
• KANELÉ: Kolmogorov-Arnold Networks for Efficient LUT-based Evaluation
• Optimized Architectures for Kolmogorov-Arnold Networks
• Physics-informed neural networks to solve inverse problems in unbounded domains
• HWF-PIKAN: A Multi-Resolution Hybrid Wavelet-Fourier Physics-Informed Kolmogorov-Arnold Network for solving Collisionless Boltzmann Equation
• Learning continuous SOC-dependent thermal decomposition kinetics for Li-ion cathodes using KA-CRNNs
• KAN-Matrix: Visualizing Nonlinear Pairwise and Multivariate Contributions for Physical Insight
• SHARe-KAN: Holographic Vector Quantization for Memory-Bound Inference
• MINPO: Memory-Informed Neural Pseudo-Operator to Resolve Nonlocal Spatiotemporal Dynamics
• Training Deep Physics-Informed Kolmogorov-Arnold Networks
• Deep Legendre Transform
• Kolmogorov-Arnold Graph Neural Networks Applied to Inorganic Nanomaterials Dataset
• Sprecher Networks: A Parameter-Efficient Kolmogorov-Arnold Architecture
• Merging of Kolmogorov-Arnold networks trained on disjoint datasets
• KAN-AFT: An Interpretable Nonlinear Survival Model Integrating Kolmogorov-Arnold Networks with Accelerated Failure Time Analysis
• DecoKAN: Interpretable Decomposition for Forecasting Cryptocurrency Market Dynamics
• From GNNs to Symbolic Surrogates via Kolmogorov-Arnold Networks for Delay Prediction
• Fully analogue in-memory neural computing via quantum tunneling effect
• Lyapunov-Based Kolmogorov-Arnold Network (KAN) Adaptive Control
• KANO: Kolmogorov-Arnold Neural Operator for Image Super-Resolution
• Uncertainty-Aware Flow Field Reconstruction Using SVGP Kolmogorov-Arnold Networks
• Integrating Wide and Deep Neural Networks with Squeeze-and-Excitation Blocks for Multi-Target Property Prediction in Additively Manufactured Fiber Reinforced Composites
• DBAW-PIKAN: Dynamic Balance Adaptive Weight Kolmogorov-Arnold Neural Network for Solving Partial Differential Equations
• ABFR-KAN: Kolmogorov-Arnold Networks for Functional Brain Analysis
• Temporal Kolmogorov-Arnold Networks (T-KAN) for High-Frequency Limit Order Book Forecasting: Efficiency, Interpretability, and Alpha Decay
• KAN-AE with Non-Linearity Score and Symbolic Regression for Energy-Efficient Channel Coding
• Discovering the Gell-Mann-Okubo Formula with Kolmogorov-Arnold Networks
• inRAN: Interpretable Online Bayesian Learning for Network Automation in Open Radio Access Networks
• A Stochastic Genetic Interacting Particle Method for Reaction-Diffusion-Advection Equations
• Investigation into respiratory sound classification for an imbalanced data set using hybrid LSTM-KAN architectures
• LUT-KAN: Segment-wise LUT Quantization for Fast KAN Inference
• Free-RBF-KAN: Kolmogorov-Arnold Networks with Adaptive Radial Basis Functions for Efficient Function Learning
• SpectralKAN: Weighted Activation Distribution Kolmogorov-Arnold Network for Hyperspectral Image Change Detection
• Representing Sounds as Neural Amplitude Fields: A Benchmark of Coordinate-MLPs and A Fourier Kolmogorov-Arnold Framework
• Kolmogorov-Arnold Networks-Based Tolerance-Aware Manufacturability Assessment Integrating Design-for-Manufacturing Principles
• Kolmogorov--Arnold stability
• LUT-Compiled Kolmogorov-Arnold Networks for Lightweight DoS Detection on IoT Edge Devices
• An Efficient Additive Kolmogorov-Arnold Transformer for Point-Level Maize Localization in Unmanned Aerial Vehicle Imagery
• Trustworthy Longitudinal Brain MRI Completion: A Deformation-Based Approach with KAN-Enhanced Diffusion Model
• Resonant fragility and nonresonant robustness of Floquet eigenstates in kicked spin systems
• Kolmogorov Arnold Networks and Multi-Layer Perceptrons: A Paradigm Shift in Neural Modelling
• Shallow-KAN Based Solution of Moving Boundary PDEs
• Learning Ecological and Epidemic Processes using Neural ODEs, Kolmogorov-Arnold Network ODEs and SINDy
• KANHedge: Efficient Hedging of High-Dimensional Options Using Kolmogorov-Arnold Network-Based BSDE Solver
• Quasi-periodic Dynamics for Multi-dimensional Quasi-linear Schrödinger Equations via Resonant Mode Control
• An Efficient and Explainable KAN Framework forWireless Radiation Field Prediction
• Architectural Scaling Surpass Basis Complexity? Efficient KANs with Single-Parameter Design
• AI-Based Culvert-Sewer Inspection
• Learning Nonlinear Heterogeneity in Physical Kolmogorov-Arnold Networks
• A Dynamic Framework for Grid Adaptation in Kolmogorov-Arnold Networks
• Kolmogorov-Arnold graph neural networks for chemically informed prediction tasks on inorganic nanomaterials
• Fixed Aggregation Features Can Rival GNNs
• An Efficient and Explainable KAN Framework for Wireless Radiation Field Prediction
• Learning constitutive laws under explicit strain limits: An interpretable strain-limiting elasticity--Kolmogorov Arnold neural network framework
• Time series forecasting with Hahn Kolmogorov-Arnold networks
• LabelKAN -- Kolmogorov-Arnold Networks for Inter-Label Learning: Avian Community Learning
• Numerical simulation and analysis of mixing enhancement due to chaotic advection using an adaptive approach for approximating the dilution index
• Kolmogorov-Arnold Networks Applied to Materials Property Prediction
• Vision KAN: Towards an Attention-Free Backbone for Vision with Kolmogorov-Arnold Networks
• Turbulence from First Principles
• Agile Reinforcement Learning through Separable Neural Architecture
• Optimization, Generalization and Differential Privacy Bounds for Gradient Descent on Kolmogorov-Arnold Networks
• SurvKAN: A Fully Parametric Survival Model Based on Kolmogorov-Arnold Networks
• Ultrafast On-chip Online Learning via Spline Locality in Kolmogorov-Arnold Networks
• PINN-Based Kolmogorov-Arnold Networks with RAR-D Adaptive Sampling for Solving Elliptic Interface Problems
• MGKAN: Predicting Asymmetric Drug-Drug Interactions via a Multimodal Graph Kolmogorov-Arnold Network
• The Enhanced Physics-Informed Kolmogorov-Arnold Networks: Applications of Newton's Laws in Financial Deep Reinforcement Learning (RL) Algorithms
• KAN We Flow? Advancing Robotic Manipulation with 3D Flow Matching via KAN & RWKV
• Kolmogorov-Arnold Energy Models: Fast, Interpretable Generative Modeling
• Fully Kolmogorov-Arnold Deep Model in Medical Image Segmentation
• KANFIS A Neuro-Symbolic Framework for Interpretable and Uncertainty-Aware Learning
• Synergizing Kolmogorov-Arnold Networks with Dynamic Adaptive Weighting for High-Frequency and Multi-Scale PDE Solutions
• TruKAN: Towards More Efficient Kolmogorov-Arnold Networks Using Truncated Power Functions
• Clifford Kolmogorov-Arnold Networks
• KANFIS: A Neuro-Symbolic Framework for Interpretable and Uncertainty-Aware Learning
• Using correlation diagrams to study the vibrational spectrum of highly nonlinear floppy molecules: The K-CN case
• Optimal Abstractions for Verifying Properties of Kolmogorov-Arnold Networks (KANs)
• MGP-KAD: Multimodal Geometric Priors and Kolmogorov-Arnold Decoder for Single-View 3D Reconstruction in Complex Scenes
• A coupled Kolmogorov-Arnold Network and Level-Set framework for evolving interfaces
• Efficient Graph Knowledge Distillation from GNNs to Kolmogorov--Arnold Networks via Self-Attention Dynamic Sampling
• A hybrid Kolmogorov-Arnold network for medical image segmentation
• Spectral Gating Networks
• Enhancing Newton-Kaczmarz training of Kolmogorov-Arnold networks through concurrency
• Physical Analog Kolmogorov-Arnold Networks based on Reconfigurable Nonlinear-Processing Units
• Learning to Anchor Visual Odometry: KAN-Based Pose Regression for Planetary Landing
• Empirical Stability Analysis of Kolmogorov-Arnold Networks in Hard-Constrained Recurrent Physics-Informed Discovery
• KAN-FIF: Spline-Parameterized Lightweight Physics-based Tropical Cyclone Estimation on Meteorological Satellite
• Time-TK: A Multi-Offset Temporal Interaction Framework Combining Transformer and Kolmogorov-Arnold Networks for Time Series Forecasting
• GAC-KAN: An Ultra-Lightweight GNSS Interference Classifier for GenAI-Powered Consumer Edge Devices
• Realistic Face Reconstruction from Facial Embeddings via Diffusion Models
• Predicting Invoice Dilution in Supply Chain Finance with Leakage Free Two Stage XGBoost, KAN (Kolmogorov Arnold Networks), and Ensemble Models
• A Unified Benchmark of Physics-Informed Neural Networks and Kolmogorov-Arnold Networks for Ordinary and Partial Differential Equations
• FEKAN: Feature-Enriched Kolmogorov-Arnold Networks
• A Graph Meta-Network for Learning on Kolmogorov-Arnold Networks
• Numerical Construction of Quasi-Periodic Solutions Beyond Symplectic Integrators
• Inelastic Constitutive Kolmogorov-Arnold Networks: A generalized framework for automated discovery of interpretable inelastic material models
• Spectral bias in physics-informed and operator learning: Analysis and mitigation guidelines
• Weak-Form Evolutionary Kolmogorov-Arnold Networks for Solving Partial Differential Equations
• LESA: Learnable Stage-Aware Predictors for Diffusion Model Acceleration
• KANDy: Kolmogorov-Arnold Networks and Dynamical System Discovery
• Physics-Informed Machine Learning for Vessel Shaft Power and Fuel Consumption Prediction: Interpretable KAN-based Approach
• KMLP: A Scalable Hybrid Architecture for Web-Scale Tabular Data Modeling
• BiKA: Kolmogorov-Arnold-Network-inspired Ultra Lightweight Neural Network Hardware Accelerator
• VIKIN: A Reconfigurable Accelerator for KANs and MLPs with Two-Stage Sparsity Support
• TokenCom: Vision-Language Model for Multimodal and Multitask Token Communications
• DKD-KAN: A Lightweight knowledge-distilled KAN intrusion detection framework, based on MLP and KAN
• Merged amplitude encoding for Chebyshev quantum Kolmogorov--Arnold networks: trading qubits for circuit executions
• Invariant Curves and the Variational Structure in Tubular Origami Dynamical Systems
• Multilevel Training for Kolmogorov Arnold Networks
• Concurrent training methods for Kolmogorov-Arnold networks: Disjoint datasets and FPGA implementation
• DualFlexKAN: Dual-stage Kolmogorov-Arnold Networks with Independent Function Control

Library

• xKAN - An advanced implementation of KAN incorporating multiple basis functions such as B-Splines, Fourier, Chebyshev, and Wavelets.
• RBF-KAN - A PyTorch-based Kolmogorov-Arnold Network utilizing Radial Basis Functions (RBF) for enhanced performance.
• GraphKAN - A specialized KAN library adapted for Graph Neural Networks (GNNs), enabling graph-based learning tasks.
• BSRBF_KAN - A hybrid approach combining B-Spline and Radial Basis Function (RBF) layers within KAN.
• KANX - A highly efficient JAX-based implementation of KAN for accelerated computations.
• Deep-KAN - An improved and optimized implementation of the Kolmogorov-Arnold Network in PyTorch.
• TorchKAN - Implements KAN using Legendre and monomial basis functions, achieving high accuracy on image classification tasks.
• fKAN - A fractional version of KAN incorporating trainable Jacobi basis functions.
• pykan - The official reference implementation of Kolmogorov-Arnold Networks.
• FastKAN - An optimized and high-speed computation framework for KAN, significantly improving efficiency.
• Quantum KAN - A novel KAN implementation that integrates quantum annealing optimization techniques.
• FlashKAN - A specialized implementation of KAN with grid-size-independent computations for enhanced efficiency.
• FourierKAN - A PyTorch-based Fourier transformation layer tailored for KAN.
• OrthogPolyKAN - A KAN variant that utilizes orthogonal polynomials instead of conventional B-splines.
• FasterKAN - An accelerated version of KAN featuring RSWAF basis functions, delivering faster backward passes.
• KAN-SGAN - A semi-supervised learning implementation integrating KAN layers into Generative Adversarial Networks (GANs).
• efficient-kan - A highly efficient, pure PyTorch implementation of KAN for deep learning applications.
• TaylorKAN - A KAN model utilizing Taylor series in place of Fourier transformations.
• Wav-KAN - Implements wavelet-based transformations within the KAN framework.
• ChebyKAN - A variation of KAN leveraging Chebyshev polynomials instead of traditional activation functions.
• Vision-KAN - A KAN implementation designed for Vision Transformers, significantly improving performance on image classification tasks.
• KAN-Conv2D - A drop-in replacement for Conv2D layers using KAN, built on multiple KAN implementations.
• JacobiKAN - A KAN implementation replacing B-Splines with Jacobi polynomials to enhance approximation accuracy.
• efficient-kan-jax - A JAX-based port of efficient-kan for optimized execution on modern hardware.
• cuda-Wavelet-KAN - A CUDA-optimized KAN implementation specifically for wavelet-based transformations.
• ConvKAN3D - A 3D convolutional implementation of KAN for applications requiring volumetric data processing.
• x-KANeRF - An extension of KAN applied to Neural Radiance Fields (NeRF) for improved scene rendering.
• KolmogorovArnold.jl - A high-performance Julia implementation of KAN featuring RBF and RSWAF basis functions.
• KAN: Kolmogorov–Arnold Networks in MLX for Apple Silicon - A specialized KAN implementation optimized for Apple's MLX framework.
• Torch Conv KAN - Implements convolutional KAN layers, with support for 1D, 2D, and 3D convolutions.
• keras_efficient_kan - A TensorFlow/Keras implementation of efficient KAN supporting multi-backend compatibility.
• kanrl - A reinforcement learning-focused implementation of KAN, designed for policy learning tasks.
• jaxKAN - A JAX implementation of KAN with complete support for regularization techniques.
• GraphKAN - A graph-structured KAN model designed for advanced feature extraction.
• kan-polar - A MATLAB-based KAN implementation for researchers and engineers.
• seydi1370/Basis_Functions - A benchmark study analyzing the performance of 18 different polynomial basis functions for KAN.
• FCN-KAN - A KAN model featuring modified activations using a fully connected network structure.
• TKAN - Implements Temporal Kolmogorov-Arnold Networks (TKAN) for time-series modeling.
• FluxKAN.jl - A user-friendly Julia-based KAN implementation built using the Flux ML framework.
• ikant - A lightweight C++ implementation of KAN with built-in visualization tools.
• kamo - A KAN framework implemented in Mojo, optimized for high-performance computing.
• KAN-benchmarking - A benchmarking suite evaluating the efficiency of different KAN implementations in terms of speed and memory usage.
• CF-KAN - A KAN-based collaborative filtering algorithm designed for recommender systems.
• TKAT - A Kolmogorov-Arnold Transformer (KAT) model optimized for time-series forecasting.
• KAN4Graph - An application of KAN for Graph Neural Networks (GNNs) and graph-based machine learning tasks.

Tutorial

Written Tutorials

• A Simplified Explanation of the New Kolmogorov-Arnold Network (KAN) from MIT
• The Math Behind KAN — Kolmogorov-Arnold Networks
• A from-Scratch Implementation of Kolmogorov-Arnold Networks (KAN)…and MLP
• What is the New Neural Network Architecture? KAN Explained
• KAN: Kolmogorov–Arnold Networks — A Short Summary
• Unpacking Kolmogorov-Arnold Networks: A Beginner-Friendly Guide with Code
• Why is the (KAN) Kolmogorov-Arnold Network so promising?
• Demystifying Kolmogorov-Arnold Networks: A Beginner-Friendly Guide
• Kolmogorov-Arnold Networks (KANs): A Deep Dive into Next-Gen Neural Networks
• The Annotated Kolmogorov-Arnold Network (KAN)
• KAN: Kolmogorov–Arnold Networks - A Review

Video Tutorials

• KAN: Kolmogorov-Arnold Networks | Ziming Liu (KAN Author)
• Deep Dive on Kolmogorov–Arnold Neural Networks | Ziming Liu (KAN Author)
• Why the World NEEDS Kolmogorov Arnold Networks
• Kolmogorov-Arnold Networks: MLP vs KAN, Math, B-Splines, Universal Approximation Theorem
• Didn't Graduate Guide to: Kolmogorov-Arnold Networks
• Kolmogorov-Arnold Networks (KANs) Paper Explained - An Exciting New Paradigm for Deep Learning?
• KAN: Kolmogorov-Arnold Networks Explained
• Kolmogorov-Arnold Networks (KANs) and Lennard Jones
• Simply Explained! KAN: Kolmogorov–Arnold Networks are Interpretable!
• Video with Alternative Approach to Training Process

Contributing

We welcome your contributions! Please follow these steps to contribute:

1. Fork the repo.
2. Create a new branch (e.g., feature/new-kan-resource).
3. Commit your changes to the new branch.
4. Create a Pull Request, and provide a brief description of the new resources.

Please make sure that the resources you add are relevant to the field of Kolmogorov-Arnold Network. Before contributing, take a look at the existing resources to avoid duplicates.

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Credits

This curated collection of resources, tutorials, and libraries on Kolmogorov-Arnold Networks (KANs) is inspired by the excellent work done in Awesome KAN.
We acknowledge and appreciate the contributors of the original repository for compiling a vast amount of knowledge on KANs, making it more accessible to researchers, engineers, and enthusiasts.
If you find this collection useful, consider checking out the original Awesome KAN repository and contributing to the ever-growing knowledge base on Kolmogorov-Arnold Networks!

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