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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 development of Kolmogorov-Arnold networks (KANs) marks a significant shift from traditional multi-layer perceptrons in deep learning. Initially, KANs employed B-spline curves as their primary basis function, but their inherent…

机器学习 · 计算机科学 2024-06-21 Alireza Afzal Aghaei

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

Recurrent Neural Networks (RNNs) have revolutionized many areas of machine learning, particularly in natural language and data sequence processing. Long Short-Term Memory (LSTM) has demonstrated its ability to capture long-term dependencies…

机器学习 · 计算机科学 2025-08-01 Remi Genet , Hugo Inzirillo

Recent advancements in deep learning for image classification predominantly rely on convolutional neural networks (CNNs) or Transformer-based architectures. However, these models face notable challenges in medical imaging, particularly in…

计算机视觉与模式识别 · 计算机科学 2025-02-26 Zhuoqin Yang , Jiansong Zhang , Xiaoling Luo , Zheng Lu , Linlin Shen

In this work we propose CVKAN, a complex-valued Kolmogorov-Arnold Network (KAN), to join the intrinsic interpretability of KANs and the advantages of Complex-Valued Neural Networks (CVNNs). We show how to transfer a KAN and the necessary…

机器学习 · 计算机科学 2025-12-01 Matthias Wolff , Florian Eilers , Xiaoyi Jiang

The need for scalable and expressive models in machine learning is paramount, particularly in applications requiring both structural depth and flexibility. Traditional deep learning methods, such as multilayer perceptrons (MLP), offer depth…

机器学习 · 计算机科学 2024-08-01 Shrenik Zinage , Sudeepta Mondal , Soumalya Sarkar

In the realm of deep learning, the Kolmogorov-Arnold Network (KAN) has emerged as a potential alternative to multilayer projections (MLPs). However, its applicability to vision tasks has not been extensively validated. In our study, we…

计算机视觉与模式识别 · 计算机科学 2024-06-24 Minjong Cheon

The recently proposed Kolmogorov-Arnold network (KAN) is a promising alternative to multi-layer perceptrons (MLPs) for data-driven modeling. While original KAN layers were only capable of representing the addition operator, the…

机器学习 · 计算机科学 2025-07-28 Benjamin C. Koenig , Suyong Kim , Sili Deng

Pansharpening aims to fuse high-resolution spatial details from panchromatic images with the rich spectral information of multispectral images. Existing deep neural networks for this task typically rely on static activation functions, which…

计算机视觉与模式识别 · 计算机科学 2026-03-17 Haoyu Zhang , Haojing Chen , Zhen Zhong , Liangjian Deng

Deep learning has long been dominated by multi-layer perceptrons (MLPs), which have demonstrated superiority over other optimizable models in various domains. Recently, a new alternative to MLPs has emerged - Kolmogorov-Arnold Networks…

计算机视觉与模式识别 · 计算机科学 2024-09-30 Alessandro Cacciatore , Valerio Morelli , Federica Paganica , Emanuele Frontoni , Lucia Migliorelli , Daniele Berardini

This systematic review explores the theoretical foundations, evolution, applications, and future potential of Kolmogorov-Arnold Networks (KAN), a neural network model inspired by the Kolmogorov-Arnold representation theorem. KANs…

机器学习 · 计算机科学 2025-06-09 Shriyank Somvanshi , Syed Aaqib Javed , Md Monzurul Islam , Diwas Pandit , Subasish Das

Limited by the complexity of basis function (B-spline) calculations, Kolmogorov-Arnold Networks (KAN) suffer from restricted parallel computing capability on GPUs. This paper proposes a novel ReLU-KAN implementation that inherits the core…

机器学习 · 计算机科学 2024-08-13 Qi Qiu , Tao Zhu , Helin Gong , Liming Chen , Huansheng Ning

Transformers stand as the cornerstone of mordern deep learning. Traditionally, these models rely on multi-layer perceptron (MLP) layers to mix the information between channels. In this paper, we introduce the Kolmogorov-Arnold Transformer…

机器学习 · 计算机科学 2024-09-18 Xingyi Yang , Xinchao Wang

Deep learning models have revolutionized various domains, with Multi-Layer Perceptrons (MLPs) being a cornerstone for tasks like data regression and image classification. However, a recent study has introduced Kolmogorov-Arnold Networks…

机器学习 · 计算机科学 2024-10-04 Mohammadamin Moradi , Shirin Panahi , Erik Bollt , Ying-Cheng Lai

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

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

High-dimensional linear mappings, or linear layers, dominate both the parameter count and the computational cost of most modern deep-learning models. We introduce a general-purpose drop-in replacement, lookup multivariate Kolmogorov-Arnold…

机器学习 · 计算机科学 2025-10-20 Sergey Pozdnyakov , Philippe Schwaller

Kolmogorov-Arnold Networks(KANs), as a theoretically efficient neural network architecture, have garnered attention for their potential in capturing complex patterns. However, their application in computer vision remains relatively…

计算机视觉与模式识别 · 计算机科学 2024-11-15 Yueyang Cang , Yu hang liu , Li Shi

The rapid development of deepfake generation techniques necessitates robust face forgery detection algorithms. While methods based on Convolutional Neural Networks (CNNs) and Transformers are effective, there is still room for improvement…

计算机视觉与模式识别 · 计算机科学 2026-02-17 Jiayao Jiang , Bin Liu , Qi Chu , Nenghai Yu
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