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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

In this paper, we present Convolutional Kolmogorov-Arnold Networks, a novel architecture that integrates the learnable spline-based activation functions of Kolmogorov-Arnold Networks (KANs) into convolutional layers. By replacing…

计算机视觉与模式识别 · 计算机科学 2025-04-01 Alexander Dylan Bodner , Antonio Santiago Tepsich , Jack Natan Spolski , Santiago Pourteau

The ``black-box'' nature of deep learning models presents a significant barrier to their adoption for scientific discovery, where interpretability is paramount. This challenge is especially pronounced in discovering the governing equations…

机器学习 · 计算机科学 2025-08-26 Riccardo Cappi , Paolo Frazzetto , Nicolò Navarin , Alessandro Sperduti

Deep learning neural networks architectures such Multi Layer Perceptrons (MLP) and Convolutional blocks still play a crucial role in nowadays research advancements. From a topological point of view, these architecture may be represented as…

机器学习 · 计算机科学 2025-07-29 Ugo Lomoio , Pierangelo Veltri , Pietro Hiram Guzzi

Kolmogorov-Arnold Networks (KANs) relocate learnable nonlinearities from nodes to edges, demonstrating remarkable capabilities in scientific machine learning and interpretable modeling. However, current KAN implementations suffer from…

神经与进化计算 · 计算机科学 2025-09-25 Alastair Poole , Stig McArthur , Saravan Kumar

As time evolves, data within specific domains exhibit predictability that motivates time series forecasting to predict future trends from historical data. However, current deep forecasting methods can achieve promising performance but…

机器学习 · 计算机科学 2025-08-11 Ziran Liang , Rui An , Wenqi Fan , Yanghui Rao , Yuxuan Liang

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

The field of scientific machine learning, which originally utilized multilayer perceptrons (MLPs), is increasingly adopting Kolmogorov-Arnold Networks (KANs) for data encoding. This shift is driven by the limitations of MLPs, including poor…

机器学习 · 计算机科学 2025-11-04 Salah A. Faroughi , Farinaz Mostajeran , Amin Hamed Mashhadzadeh , Shirko Faroughi

Recently, Kolmogorov-Arnold Networks (KANs) have been proposed as an alternative to multilayer perceptrons, suggesting advantages in performance and interpretability. We study a typical binary event classification task in high-energy…

高能物理 - 唯象学 · 物理学 2025-05-27 Johannes Erdmann , Florian Mausolf , Jan Lukas Späh

In traditional neural network architectures, a multilayer perceptron (MLP) is typically employed as a classification block following the feature extraction stage. However, the Kolmogorov-Arnold Network (KAN) presents a promising alternative…

计算机视觉与模式识别 · 计算机科学 2024-09-09 Valeriy Lobanov , Nikita Firsov , Evgeny Myasnikov , Roman Khabibullin , Artem Nikonorov

This paper introduces Kolmogorov-Arnold Networks (KAN) as an enhancement to the traditional linear probing method in transfer learning. Linear probing, often applied to the final layer of pre-trained models, is limited by its inability to…

机器学习 · 计算机科学 2024-09-13 Sheng Shen , Rabih Younes

Artificial Neural Networks (ANNs) have significantly advanced various fields by effectively recognizing patterns and solving complex problems. Despite these advancements, their interpretability remains a critical challenge, especially in…

机器学习 · 计算机科学 2025-11-24 Alejandro Polo-Molina , David Alfaya , Jose Portela

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

The Kolmogorov-Arnold Network (KAN) is a novel multi-layer network model recognized for its efficiency in neuromorphic computing, where synapses between neurons are trained linearly. Computations in KAN are performed by generating a…

量子物理 · 物理学 2025-12-19 Hikaru Wakaura , Rahmat Mulyawan , Andriyan B. Suksmono

The Convolutional Neural Networks (CNNs) have been the dominant and effective approach for general computer vision tasks. Recently, Kolmogorov-Arnold neural networks (KANs), based on the Kolmogorov-Arnold representation theorem, have shown…

计算机视觉与模式识别 · 计算机科学 2026-04-28 Zhaoxiang Liu , Zhicheng Ma , Kaikai Zhao , Kai Wang , Shiguo Lian

The Cox Proportional Hazards (CPH) model has long been the preferred survival model for its explainability. However, to increase its predictive power beyond its linear log-risk, it was extended to utilize deep neural networks, sacrificing…

机器学习 · 计算机科学 2025-12-02 Abdallah Alabdallah , Omar Hamed , Mattias Ohlsson , Thorsteinn Rögnvaldsson , Sepideh Pashami

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

Parkinson's Disease (PD) diagnosis remains challenging. This study applies Convolutional Kolmogorov-Arnold Networks (ConvKANs), integrating learnable spline-based activation functions into convolutional layers, for PD classification using…

图像与视频处理 · 电气工程与系统科学 2024-09-27 Salil B Patel , Vicky Goh , James F FitzGerald , Chrystalina A Antoniades

U-Net has become a cornerstone in various visual applications such as image segmentation and diffusion probability models. While numerous innovative designs and improvements have been introduced by incorporating transformers or MLPs, the…

图像与视频处理 · 电气工程与系统科学 2024-08-23 Chenxin Li , Xinyu Liu , Wuyang Li , Cheng Wang , Hengyu Liu , Yifan Liu , Zhen Chen , Yixuan Yuan

Multilayer Perceptrons (MLPs) have long been a cornerstone in deep learning, known for their capacity to model complex relationships. Recently, Kolmogorov-Arnold Networks (KANs) have emerged as a compelling alternative, utilizing highly…

机器学习 · 计算机科学 2024-09-17 Farhad Pourkamali-Anaraki