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We propose PO-CKAN, a physics-informed deep operator framework based on Chunkwise Rational Kolmogorov--Arnold Networks (KANs), for approximating the solution operators of partial differential equations. This framework leverages a Deep…

Machine Learning · Computer Science 2025-11-04 Junyi Wu , Guang Lin

Accurate and automated gland segmentation on pathological images can assist pathologists in diagnosing the malignancy of colorectal adenocarcinoma. However, due to various gland shapes, severe deformation of malignant glands, and…

Image and Video Processing · Electrical Eng. & Systems 2024-05-10 Huadeng Wang , Jiejiang Yu , Bingbing Li , Xipeng Pan , Zhenbing Liu , Rushi Lan , Xiaonan Luo

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…

Computer Vision and Pattern Recognition · Computer Science 2025-11-07 Ray Congrui Yu , Sherry Wu , Jiang Gui

Recently, deep learning methods have achieved state-of-the-art performance in many medical image segmentation tasks. Many of these are based on convolutional neural networks (CNNs). For such methods, the encoder is the key part for global…

Image and Video Processing · Electrical Eng. & Systems 2022-08-25 Hao Li , Dewei Hu , Han Liu , Jiacheng Wang , Ipek Oguz

We firstly simulated disease dynamics by KAN (Kolmogorov-Arnold Networks) nearly 4 years ago, but the kernel functions in the edge include the exponential number of infected and discharged people and is also in line with the…

Neural and Evolutionary Computing · Computer Science 2024-06-04 Jun-Bo Tao , Bai-Qing Sun , Wei-Dong Zhu , Shi-You Qu , Jia-Qiang Li , Guo-Qi Li , Yan-Yan Wang , Ling-Kun Chen , Chong Wu , Yu Xiong , Jiaxuan Zhou

This paper tests whether Kolmogorov--Arnold Networks (KAN 2.0) are genuinely more noise-robust than Multi-Layer Perceptrons (MLP) and XGBoost for stellar classification (star/galaxy/quasar, 100,000 SDSS DR17 objects). A naive comparison…

Instrumentation and Methods for Astrophysics · Physics 2026-05-29 Kristian Sestak

Kolmogorov-Arnold Networks (KANs) relocate learnable nonlinearities from nodes to edges, demonstrating remarkable capabilities in scientific machine learning and interpretable modeling. However, current KAN implementations suffer from…

Neural and Evolutionary Computing · Computer Science 2025-09-25 Alastair Poole , Stig McArthur , Saravan Kumar

In this work, we focused on deep learning image processing in the context of oral rare diseases, which pose challenges due to limited data availability. A crucial step involves teeth detection, segmentation and numbering in panoramic…

Computer Vision and Pattern Recognition · Computer Science 2024-09-09 Hocine Kadi , Théo Sourget , Marzena Kawczynski , Sara Bendjama , Bruno Grollemund , Agnès Bloch-Zupan

Precise segmentation of teeth from intra-oral scanner images is an essential task in computer-aided orthodontic surgical planning. The state-of-the-art deep learning-based methods often simply concatenate the raw geometric attributes (i.e.,…

Image and Video Processing · Electrical Eng. & Systems 2022-04-20 Yue Zhao , Lingming Zhang , Yang Liu , Deyu Meng , Zhiming Cui , Chenqiang Gao , Xinbo Gao , Chunfeng Lian , Dinggang Shen

This paper presents the application of Kolmogorov-Arnold Networks (KAN) in classifying metal surface defects. Specifically, steel surfaces are analyzed to detect defects such as cracks, inclusions, patches, pitted surfaces, and scratches.…

Machine Learning · Computer Science 2025-01-22 Maciej Krzywda , Mariusz Wermiński , Szymon Łukasik , Amir H. Gandomi

Image segmentation is a fundamental task in both image analysis and medical applications. State-of-the-art methods predominantly rely on encoder-decoder architectures with a U-shaped design, commonly referred to as U-Net. Recent…

Image and Video Processing · Electrical Eng. & Systems 2026-03-05 Chun-Wun Cheng , Yining Zhao , Yanqi Cheng , Javier A. Montoya-Zegarra , Carola-Bibiane Schönlieb , Angelica I Aviles-Rivero

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).…

Image and Video Processing · Electrical Eng. & Systems 2025-05-29 Ze Chen , Shaode Yu

Medical image segmentation is critical for accurate diagnostics and treatment planning, but remains challenging due to complex anatomical structures and limited annotated training data. CNN-based segmentation methods excel at local feature…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Nishchal Sapkota , Haoyan Shi , Yejia Zhang , Xianshi Ma , Bofang Zheng , Fabian Vazquez , Pengfei Gu , Danny Z. Chen

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…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Zhaoxiang Liu , Zhicheng Ma , Kaikai Zhao , Kai Wang , Shiguo Lian

Kolmogorov--Arnold Networks (KANs), a recently proposed neural network architecture, have gained significant attention in the deep learning community, due to their potential as a viable alternative to multi-layer perceptrons (MLPs) and…

Machine Learning · Computer Science 2024-10-11 Yihang Gao , Vincent Y. F. Tan

Kolmogorov Arnold Networks (KANs) represent a new class of neural architectures that replace conventional linear transformations and node-based nonlinearities with spline-based function approximations distributed along network edges.…

Machine Learning · Computer Science 2026-01-30 Kazi Ahmed Asif Fuad , Lizhong Chen

The integration of heterogeneous multi-omics datasets at a systems level remains a central challenge for developing analytical and computational models in precision cancer diagnostics. This paper introduces Multi-Omics Graph…

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…

Image and Video Processing · Electrical Eng. & Systems 2024-12-30 Bhavesh Gyanchandani , Aditya Oza , Abhinav Roy

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-,…

Machine Learning · Computer Science 2026-02-19 Sidharth S. Menon , Ameya D. Jagtap

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…

Computer Vision and Pattern Recognition · Computer Science 2025-06-03 Ashim Dahal , Saydul Akbar Murad , Nick Rahimi