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This study addresses the inherent limitations of Multi-Layer Perceptrons (MLPs) in Vision Transformers (ViTs) by introducing Hybrid Kolmogorov-Arnold Network (KAN)-ViT (Hyb-KAN ViT), a novel framework that integrates wavelet-based spectral…

Computer Vision and Pattern Recognition · Computer Science 2025-05-09 Sainath Dey , Mitul Goswami , Jashika Sethi , Prasant Kumar Pattnaik

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…

Machine Learning · Computer Science 2025-07-29 Ugo Lomoio , Pierangelo Veltri , Pietro Hiram Guzzi

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

Deeply stacked KANs are practically impossible due to high training difficulties and substantial memory requirements. Consequently, existing studies can only incorporate few KAN layers, hindering the comprehensive exploration of KANs. This…

Computer Vision and Pattern Recognition · Computer Science 2026-02-04 Xingyu Qiu , Xinghua Ma , Dong Liang , Gongning Luo , Wei Wang , Kuanquan Wang , Shuo Li

Effective molecular representation learning is crucial for advancing molecular property prediction and drug design. Mainstream molecular representation learning approaches are based on Graph Neural Networks (GNNs). However, these approaches…

Machine Learning · Computer Science 2024-11-12 Ruifeng Li , Mingqian Li , Wei Liu , Hongyang Chen

Convolutional Neural Networks (CNNs) and vision transformers (ViTs) have shown excellent capability in complex hyperspectral image (HSI) classification. However, these models require a significant number of training data and are…

Computer Vision and Pattern Recognition · Computer Science 2024-06-25 Ali Jamali , Swalpa Kumar Roy , Danfeng Hong , Bing Lu , Pedram Ghamisi

Obtaining accurate weather forecasts at station locations is a critical challenge due to systematic biases arising from the mismatch between multi-scale, continuous atmospheric characteristic and their discrete, gridded representations.…

Computer Vision and Pattern Recognition · Computer Science 2025-01-27 Zili Liu , Hao Chen , Lei Bai , Wenyuan Li , Zhengxia Zou , Zhenwei Shi

A wide range of deep learning-based machine learning techniques are extensively applied to the design of high-entropy alloys (HEAs), yielding numerous valuable insights. Kolmogorov-Arnold Networks (KAN) is a recently developed architecture…

Materials Science · Physics 2025-03-04 Yagnik Bandyopadhyay , Harshil Avlani , Houlong L. Zhuang

Microbial Fuel Cells (MFCs) offer a promising pathway for sustainable energy generation by converting organic matter into electricity through microbial processes. A key factor influencing MFC performance is the anode structure, where design…

Artificial Intelligence · Computer Science 2025-11-19 Mohammad Reza Shafie , Morteza Hajiabadi , Hamed Khosravi , Mobina Noori , Imtiaz Ahmed

Gene regulation is central to understanding cellular processes and development, potentially leading to the discovery of new treatments for diseases and personalized medicine. Inferring gene regulatory networks (GRNs) from single-cell RNA…

Computational Engineering, Finance, and Science · Computer Science 2025-06-17 Tsz Pan Tong , Aoran Wang , George Panagopoulos , Jun Pang

Kolmogorov-Arnold Networks (KANs) have very recently been introduced into the world of machine learning, quickly capturing the attention of the entire community. However, KANs have mostly been tested for approximating complex functions or…

Machine Learning · Computer Science 2025-01-24 Eleonora Poeta , Flavio Giobergia , Eliana Pastor , Tania Cerquitelli , Elena Baralis

Kolmogorov-Arnold Networks (KANs) require significantly smaller architectures compared to multilayer perceptron (MLP)-based approaches, while retaining expressive power through spline-based activations. Moving boundary problems are…

Mathematical Physics · Physics 2026-02-10 Tarus Pande , V M S K Minnikanti , Shyamprasad Karagadde

Recently, a novel model named Kolmogorov-Arnold Networks (KAN) has been proposed with the potential to achieve the functionality of traditional deep neural networks (DNNs) using orders of magnitude fewer parameters by parameterized B-spline…

Hardware Architecture · Computer Science 2024-09-19 Wei-Hsing Huang , Jianwei Jia , Yuyao Kong , Faaiq Waqar , Tai-Hao Wen , Meng-Fan Chang , Shimeng Yu

Permutation equivariant neural networks employing parameter-sharing schemes have emerged as powerful models for leveraging a wide range of data symmetries, significantly enhancing the generalization and computational efficiency of the…

Machine Learning · Computer Science 2026-03-10 Ran Elbaz , Guy Bar-Shalom , Yam Eitan , Fabrizio Frasca , Haggai Maron

In this paper, we consider the problem of wireless channel prediction, where we are interested in predicting the channel quality at unvisited locations in an area of interest, based on a small number of prior received power measurements…

Signal Processing · Electrical Eng. & Systems 2022-03-29 Chitra R. Karanam , Yasamin Mostofi

We present a novel approach to predicting the pressure and flow rate of flexible electrohydrodynamic pumps using the Kolmogorov-Arnold Network. Inspired by the Kolmogorov-Arnold representation theorem, KAN replaces fixed activation…

Machine Learning · Computer Science 2024-12-31 Yanhong Peng , Yuxin Wang , Fangchao Hu , Miao He , Zebing Mao , Xia Huang , Jun Ding

Machine learning models of chemical bioactivity are increasingly used for prioritizing a small number of compounds in virtual screening libraries for experimental follow-up. In these applications, assessing model accuracy by early hit…

Chemical Physics · Physics 2026-03-30 Pavel Koptev , Nikita Krainov , Konstantin Malkov , Alexander Tropsha

Kolmogorov-Arnold Networks (KANs), whose design is inspired-rather than dictated-by the Kolmogorov superposition theorem, have emerged as a structured alternative to MLPs. This review provides a systematic and comprehensive overview of the…

Machine Learning · Computer Science 2026-05-28 Amir Noorizadegan , Sifan Wang , Leevan Ling , Juan P. Dominguez-Morales

We present cmKAN, a versatile framework for color matching. Given an input image with colors from a source color distribution, our method effectively and accurately maps these colors to match a target color distribution in both supervised…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Artem Nikonorov , Georgy Perevozchikov , Andrei Korepanov , Nancy Mehta , Mahmoud Afifi , Egor Ershov , Radu Timofte

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