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Kolmogorov-Arnold Networks (KANs) have demonstrated an exceptional ability to learn complex functions on clean, low-dimensional data but struggle to maintain performance on noisy and imperfect real-world datasets. In contrast, conventional…

Kolmogorov-Arnold Networks (KAN) has recently attracted significant attention as a promising alternative to traditional Multi-Layer Perceptrons (MLP). Despite their theoretical appeal, KAN require validation on large-scale benchmark…

Machine Learning · Computer Science 2024-09-12 Chang Dong , Liangwei Zheng , Weitong Chen

The Kolmogorov-Arnold Network (KAN) is a new network architecture known for its high accuracy in several tasks such as function fitting and PDE solving. The superior expressive capability of KAN arises from the Kolmogorov-Arnold…

Machine Learning · Computer Science 2024-12-19 Ruichen Qiu , Yibo Miao , Shiwen Wang , Lijia Yu , Yifan Zhu , Xiao-Shan Gao

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…

Machine Learning · Computer Science 2024-09-04 Victor Augusto Kich , Jair Augusto Bottega , Raul Steinmetz , Ricardo Bedin Grando , Ayano Yorozu , Akihisa Ohya

Kolmogorov-Arnold Networks (KANs) are a recent neural network architecture offering an alternative to Multilayer Perceptrons (MLPs) with improved explainability and expressibility. However, KANs are significantly slower than MLPs due to the…

Machine Learning · Computer Science 2026-04-27 Eduardo Said Merin-Martinez , Andres Mendez-Vazquez , Eduardo Rodriguez-Tello

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…

Cryptography and Security · Computer Science 2026-04-01 Mohammed Hassanin

Kolmogorov-Arnold Networks (KAN) are a new class of neural network architecture representing a promising alternative to the Multilayer Perceptron (MLP), demonstrating improved expressiveness and interpretability. However, KANs suffer from…

Machine Learning · Computer Science 2025-03-04 Cale Coffman , Lizhong Chen

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…

Signal Processing · Electrical Eng. & Systems 2025-10-28 Cristian J. Vaca-Rubio , Luis Blanco , Roberto Pereira , Màrius Caus

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…

Machine Learning · Computer Science 2025-07-28 Benjamin C. Koenig , Suyong Kim , Sili Deng

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…

Computer Vision and Pattern Recognition · Computer Science 2024-06-24 Minjong Cheon

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…

Machine Learning · Computer Science 2024-12-24 Juan Diego Toscano , Li-Lian Wang , George Em Karniadakis

Kolmogorov-Arnold Networks (KANs), a novel type of neural network, have recently gained popularity and attention due to the ability to substitute multi-layer perceptions (MLPs) in artificial intelligence (AI) with higher accuracy and…

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…

Machine Learning · Computer Science 2024-08-01 Shrenik Zinage , Sudeepta Mondal , Soumalya Sarkar

Recent advancements in both representation learning and function learning have demonstrated substantial promise across diverse domains of artificial intelligence. However, the effective integration of these paradigms poses a significant…

Machine Learning · Computer Science 2024-10-07 Yunhong He , Yifeng Xie , Zhengqing Yuan , Lichao Sun

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…

Machine Learning · Computer Science 2025-12-09 Chenwei Shi , Xueyu Luan

Kolmogorov-Arnold Networks have recently been introduced as a flexible alternative to multi-layer Perceptron architectures. In this paper, we examine the training dynamics of different KAN architectures and compare them with corresponding…

Machine Learning · Computer Science 2024-11-11 Shairoz Sohail

The multilayer perceptron (MLP), a fundamental paradigm in current artificial intelligence, is widely applied in fields such as computer vision and natural language processing. However, the recently proposed Kolmogorov-Arnold Network (KAN),…

Machine Learning · Computer Science 2024-08-19 Zhuoqin Yang , Jiansong Zhang , Xiaoling Luo , Zheng Lu , Linlin Shen

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…

Machine Learning · Computer Science 2024-05-28 Moein E. Samadi , Younes Müller , Andreas Schuppert

Multi-Layer Perceptrons (MLPs) rely on pre-defined, fixed activation functions, imposing a static inductive bias that forces the network to approximate complex topologies solely through increased depth and width. Kolmogorov-Arnold Networks…

Machine Learning · Computer Science 2026-03-10 Andrés Ortiz , Nicolás J. Gallego-Molina , Carmen Jiménez-Mesa , Juan M. Górriz , Javier Ramírez

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…

Machine Learning · Computer Science 2024-09-18 Xingyi Yang , Xinchao Wang