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Kolmogorov-Arnold Neural Networks (KANs) have gained significant attention in the machine learning community. However, their implementation often suffers from poor training stability and heavy trainable parameter. Furthermore, there is…

机器学习 · 计算机科学 2025-01-17 Liangwewi Nathan Zheng , Wei Emma Zhang , Lin Yue , Miao Xu , Olaf Maennel , Weitong Chen

Kolmogorov-Arnold Networks (KANs) have shown potential as an alternative to Multi-Layer Perceptrons (MLPs) in neural networks, providing universal function approximation with fewer parameters and reduced memory usage. In this paper, we…

In this paper, we introduce Wav-KAN, an innovative neural network architecture that leverages the Wavelet Kolmogorov-Arnold Networks (Wav-KAN) framework to enhance interpretability and performance. Traditional multilayer perceptrons (MLPs)…

机器学习 · 计算机科学 2024-05-28 Zavareh Bozorgasl , Hao Chen

The past few years have witnessed the fast development of different regularization methods for deep learning models such as fully-connected deep neural networks (DNNs) and Convolutional Neural Networks (CNNs). Most of previous methods…

机器学习 · 计算机科学 2018-11-20 Hengyue Pan , Hui Jiang , Xin Niu , Yong Dou

Dropout is a simple but efficient regularization technique for achieving better generalization of deep neural networks (DNNs); hence it is widely used in tasks based on DNNs. During training, dropout randomly discards a portion of the…

神经与进化计算 · 计算机科学 2020-10-22 Hiroshi Inoue

Recent advancements in neural network design have given rise to the development of Kolmogorov-Arnold Networks (KANs), which enhance speed, interpretability, and precision. This paper presents the Fractional Kolmogorov-Arnold Network (fKAN),…

机器学习 · 计算机科学 2024-06-12 Alireza Afzal Aghaei

The big breakthrough on the ImageNet challenge in 2012 was partially due to the `dropout' technique used to avoid overfitting. Here, we introduce a new approach called `Spectral Dropout' to improve the generalization ability of deep neural…

计算机视觉与模式识别 · 计算机科学 2017-11-27 Salman Khan , Munawar Hayat , Fatih Porikli

Efforts to improve Kolmogorov--Arnold networks (KANs) with architectural enhancements have been stymied by the complexity those enhancements bring, undermining the interpretability that makes KANs attractive in the first place. Here we…

机器学习 · 计算机科学 2026-04-22 James Bagrow , Josh Bongard

This paper introduces a novel application of Kolmogorov-Arnold Networks (KANs) to time series forecasting, leveraging their adaptive activation functions for enhanced predictive modeling. Inspired by the Kolmogorov-Arnold representation…

信号处理 · 电气工程与系统科学 2025-10-28 Cristian J. Vaca-Rubio , Luis Blanco , Roberto Pereira , Màrius Caus

Kolmogorov-Arnold Networks (KANs) have gained significant attention as an alternative to traditional multilayer perceptrons, with proponents claiming superior interpretability and performance through learnable univariate activation…

机器学习 · 计算机科学 2025-09-16 Yuntian Hou , Tianrui Ji , Di Zhang , Angelos Stefanidis

Function approximation is a critical task in various fields. However, existing neural network approaches struggle with locally complex or discontinuous functions due to their reliance on a single global model covering the entire problem…

机器学习 · 计算机科学 2025-12-16 Hiroki Shiraishi , Hisao Ishibuchi , Masaya Nakata

To address the issue of interpretability in multilayer perceptrons (MLPs), Kolmogorov-Arnold Networks (KANs) are introduced in 2024. However, optimizing KAN structures is labor-intensive, typically requiring manual intervention and…

神经与进化计算 · 计算机科学 2025-01-30 Quan Long , Bin Wang , Bing Xue , Mengjie Zhang

Synthetic Aperture Radar (SAR) image recognition is vital for disaster monitoring, military reconnaissance, and ocean observation. However, large SAR image sizes hinder deep learning deployment on resource-constrained edge devices, and…

计算机视觉与模式识别 · 计算机科学 2026-04-06 Pan Yi , Weijie Li , Xiaodong Chen , Jiehua Zhang , Li Liu , Yongxiang Liu

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

Kolmogorov-Arnold Network (KAN) has attracted growing interest for its strong function approximation capability. In our previous work, KAN and its variants were explored in score regression for blind image quality assessment (BIQA).…

图像与视频处理 · 电气工程与系统科学 2025-05-29 Ze Chen , Shaode Yu

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

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

Dropout regularization has been widely used in deep learning but performs less effective for convolutional neural networks since the spatially correlated features allow dropped information to still flow through the networks. Some structured…

计算机视觉与模式识别 · 计算机科学 2020-10-22 Hui Zhu , Xiaofang Zhao

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

It is important to understand how dropout, a popular regularization method, aids in achieving a good generalization solution during neural network training. In this work, we present a theoretical derivation of an implicit regularization of…

机器学习 · 计算机科学 2023-04-11 Zhongwang Zhang , Zhi-Qin John Xu