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This work introduces Probabilistic Kolmogorov-Arnold Network (P-KAN), a novel probabilistic extension of Kolmogorov-Arnold Networks (KANs) for time series forecasting. By replacing scalar weights with spline-based functional connections and…

机器学习 · 计算机科学 2025-10-21 Cristian J. Vaca-Rubio , Roberto Pereira , Luis Blanco , Engin Zeydan , Màrius Caus

Effective molecular representation learning is crucial for advancing molecular property prediction and drug design. Mainstream molecular representation learning approaches are based on Graph Neural Networks (GNNs). However, these approaches…

机器学习 · 计算机科学 2024-11-12 Ruifeng Li , Mingqian Li , Wei Liu , Hongyang Chen

Kolmogorov-Arnold networks (KANs) represent data features by learning the activation functions and demonstrate superior accuracy with fewer parameters, FLOPs, GPU memory usage (Memory), shorter training time (TraT), and testing time (TesT)…

计算机视觉与模式识别 · 计算机科学 2026-01-19 Yanheng Wang , Xiaohan Yu , Yongsheng Gao , Jianjun Sha , Jian Wang , Shiyong Yan , Kai Qin , Yonggang Zhang , Lianru Gao

Hyperspectral image classification is a crucial but challenging task due to the high dimensionality and complex spatial-spectral correlations inherent in hyperspectral data. This paper employs Wavelet-based Kolmogorov-Arnold Network…

计算机视觉与模式识别 · 计算机科学 2024-10-10 Seyd Teymoor Seydi , Zavareh Bozorgasl , Hao Chen

Kolmogorov-Arnold Networks (KANs) replace scalar weights with per-edge vectors of basis coefficients, thereby increasing expressivity and accuracy while also resulting in a multiplicative increase in parameters and memory. We propose…

机器学习 · 计算机科学 2026-02-10 Matthew Raffel , Adwaith Renjith , Lizhong Chen

While accurate, black-box system identification models lack interpretability of the underlying system dynamics. This paper proposes State-Space Kolmogorov-Arnold Networks (SS-KAN) to address this challenge by integrating Kolmogorov-Arnold…

机器学习 · 计算机科学 2025-06-24 Gonçalo Granjal Cruz , Balazs Renczes , Mark C Runacres , Jan Decuyper

Kolmogorov-Arnold Networks (KANs) offer a promising path toward interpretable machine learning: their learnable activations can be studied individually, while collectively fitting complex data accurately. In practice, however, trained…

机器学习 · 计算机科学 2025-12-10 James Bagrow , Josh Bongard

We propose a novel approach that enhances multivariate function approximation using learnable path signatures and Kolmogorov-Arnold networks (KANs). We enhance the learning capabilities of these networks by weighting the values obtained by…

机器学习 · 计算机科学 2024-12-10 Hugo Inzirillo , Remi Genet

Algorithmic speedup of training common neural architectures is made difficult by the lack of structure guaranteed by the function compositions inherent to such networks. In contrast to multilayer perceptrons (MLPs), Kolmogorov-Arnold…

机器学习 · 计算机科学 2026-03-06 Ben S. Southworth , Jonas A. Actor , Graham Harper , Eric C. Cyr

Physics-informed neural networks have proven to be a powerful tool for solving differential equations, leveraging the principles of physics to inform the learning process. However, traditional deep neural networks often face challenges in…

Kolmogorov-Arnold Networks (KANs) offer an efficient and interpretable alternative to traditional multi-layer perceptron (MLP) architectures due to their finite network topology. However, according to the results of Kolmogorov and…

机器学习 · 计算机科学 2024-05-28 Moein E. Samadi , Younes Müller , Andreas Schuppert

Kolmogorov-Arnold Networks (KANs) approximate multivariate functions using learnable univariate edge functions, typically parameterized by B-spline bases. Although effective, spline-based implementations can be computationally expensive. A…

机器学习 · 统计学 2026-05-22 Roberto Cavoretto , Alessandra De Rossi , Adeeba Haider , Amir Noorizadegan

DreamerV3 is a state-of-the-art online model-based reinforcement learning (MBRL) algorithm known for remarkable sample efficiency. Concurrently, Kolmogorov-Arnold Networks (KANs) have emerged as a promising alternative to Multi-Layer…

机器学习 · 计算机科学 2025-12-09 Chenwei Shi , Xueyu Luan

This study conducts a comprehensive comparison of four neural network architectures: Convolutional Neural Network, Capsule Network, Convolutional Kolmogorov-Arnold Network, and the newly proposed Capsule-Convolutional Kolmogorov-Arnold…

图像与视频处理 · 电气工程与系统科学 2025-08-08 Laura Pituková , Peter Sinčák , László József Kovács , Peng Wang

Kolmogorov Arnold Networks (KANs) represent a new class of neural architectures that replace conventional linear transformations and node-based nonlinearities with spline-based function approximations distributed along network edges.…

机器学习 · 计算机科学 2026-01-30 Kazi Ahmed Asif Fuad , Lizhong Chen

Kolmogorov-Arnold Networks (KANs) have emerged as a promising alternative to traditional Multi-Layer Perceptrons (MLPs), offering enhanced interpretability and a solid mathematical foundation. However, their parameter efficiency remains a…

机器学习 · 计算机科学 2025-10-09 Di Zhang

Human Activity Recognition (HAR) plays a critical role in numerous applications, including healthcare monitoring, fitness tracking, and smart environments. Traditional deep learning (DL) approaches, while effective, often require extensive…

信号处理 · 电气工程与系统科学 2025-11-04 Mohammad Alikhani

By utilising their adaptive activation functions, Kolmogorov-Arnold Networks (KANs) can be applied in a novel way for the diverse machine learning tasks, including cyber threat detection. KANs substitute conventional linear weights with…

密码学与安全 · 计算机科学 2026-04-01 Mohammed Hassanin

Inspired by the Kolmogorov-Arnold representation theorem and Kurkova's principle of using approximate representations, we propose the Kurkova-Kolmogorov-Arnold Network (KKAN), a new two-block architecture that combines robust multi-layer…

机器学习 · 计算机科学 2024-12-24 Juan Diego Toscano , Li-Lian Wang , George Em Karniadakis

Algorithmic level developments like Convolutional Neural Networks, transformers, attention mechanism, Retrieval Augmented Generation and so on have changed Artificial Intelligence. Recent such development was observed by Kolmogorov-Arnold…

计算机视觉与模式识别 · 计算机科学 2025-06-03 Ashim Dahal , Saydul Akbar Murad , Nick Rahimi