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Kolmogorov-Arnold Networks (KANs) introduce a paradigm of neural modeling that implements learnable functions on the edges of the networks, diverging from the traditional node-centric activations in neural networks. This work assesses the…

计算机视觉与模式识别 · 计算机科学 2024-10-21 Basim Azam , Naveed Akhtar

Inspired by the Kolmogorov-Arnold superposition theorem, Kolmogorov-Arnold Networks (KANs) have recently emerged as an improved backbone for most deep learning frameworks, promising more adaptivity than their multilayer perceptron (MLP)…

机器学习 · 计算机科学 2025-08-07 Anastasis Kratsios , Bum Jun Kim , Takashi Furuya

Despite their immense success, deep convolutional neural networks (CNNs) can be difficult to optimize and costly to train due to hundreds of layers within the network depth. Conventional convolutional operations are fundamentally limited by…

计算机视觉与模式识别 · 计算机科学 2025-11-07 Ray Congrui Yu , Sherry Wu , Jiang Gui

Convolutional Neural networks (CNNs) based applications have become ubiquitous, where proper regularization is greatly needed. To prevent large neural network models from overfitting, dropout has been widely used as an efficient…

机器学习 · 计算机科学 2020-07-29 Shaofeng Cai , Yao Shu , Gang Chen , Beng Chin Ooi , Wei Wang , Meihui Zhang

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

Kolmogorov-Arnold Networks (KAN) employ B-spline bases on a fixed grid, providing no intrinsic multi-scale decomposition for non-smooth function approximation. We introduce Fractal Interpolation KAN (FI-KAN), which incorporates learnable…

机器学习 · 计算机科学 2026-03-31 Gnankan Landry Regis N'guessan

The growing need for accurate and efficient 3D identification of tumors, particularly in liver segmentation, has spurred considerable research into deep learning models. While many existing architectures offer strong performance, they often…

图像与视频处理 · 电气工程与系统科学 2024-12-30 Bhavesh Gyanchandani , Aditya Oza , Abhinav Roy

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 an alternative to multi-layer perceptrons (MLPs) are a recent development demonstrating strong potential for data-driven modeling. This work applies KANs as the backbone of a neural ordinary differential…

机器学习 · 计算机科学 2024-09-23 Benjamin C. Koenig , Suyong Kim , Sili Deng

This paper presents an experimental study of Kolmogorov-Arnold Networks (KANs) applied to computer vision tasks, particularly image classification. KANs introduce learnable activation functions on edges, offering flexible non-linear…

计算机视觉与模式识别 · 计算机科学 2024-12-02 Karthik Mohan , Hanxiao Wang , Xiatian Zhu

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

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

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

Kolmogorov-Arnold Networks (KANs) have recently emerged as a compelling alternative to multilayer perceptrons, offering enhanced interpretability via functional decomposition. However, existing KAN architectures, including spline-,…

机器学习 · 计算机科学 2026-02-19 Sidharth S. Menon , Ameya D. Jagtap

Kolmogorov-Arnold networks (KANs) have attracted attention recently as an alternative to multilayer perceptrons (MLPs) for scientific machine learning. However, KANs can be expensive to train, even for relatively small networks. Inspired by…

机器学习 · 计算机科学 2025-11-18 Amanda A. Howard , Bruno Jacob , Sarah Helfert , Alexander Heinlein , Panos Stinis

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

In this paper, we introduce FC-KAN, a Kolmogorov-Arnold Network (KAN) that leverages combinations of popular mathematical functions such as B-splines, wavelets, and radial basis functions on low-dimensional data through element-wise…

机器学习 · 计算机科学 2026-03-17 Hoang-Thang Ta , Duy-Quy Thai , Abu Bakar Siddiqur Rahman , Grigori Sidorov , Alexander Gelbukh

Kolmogorov-Arnold Networks (KAN) offer universal function approximation using univariate spline compositions without nonlinear activations. In this work, we integrate Error-Correcting Output Codes (ECOC) into the KAN framework to transform…

机器学习 · 计算机科学 2025-09-18 Youngjoon Lee , Jinu Gong , Joonhyuk Kang

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

Dropout is a regularization technique widely used in training artificial neural networks to mitigate overfitting. It consists of dynamically deactivating subsets of the network during training to promote more robust representations. Despite…

机器学习 · 统计学 2025-09-10 Francesco Mori , Francesca Mignacco