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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…

计算机视觉与模式识别 · 计算机科学 2024-06-25 Ali Jamali , Swalpa Kumar Roy , Danfeng Hong , Bing Lu , Pedram Ghamisi

Interpreting complex datasets remains a major challenge for scientists, particularly due to high dimensionality and collinearity among variables. We introduce a novel application of Kolmogorov-Arnold Networks (KANs) to enhance…

机器学习 · 计算机科学 2025-12-19 Luis A. De la Fuente , Hernan A. Moreno , Laura V. Alvarez , Hoshin V. Gupta

We introduce Kolmogorov--Arnold Neural Operator (KANO), a dual-domain neural operator jointly parameterized by both spectral and spatial bases with intrinsic symbolic interpretability. We theoretically demonstrate that KANO overcomes the…

机器学习 · 计算机科学 2026-02-26 Jin Lee , Ziming Liu , Xinling Yu , Yixuan Wang , Haewon Jeong , Murphy Yuezhen Niu , Zheng Zhang

This paper compares Kolmogorov-Arnold Networks (KAN) and Long Short-Term Memory networks (LSTM) for forecasting non-deterministic stock price data, evaluating predictive accuracy versus interpretability trade-offs using Root Mean Square…

机器学习 · 计算机科学 2025-11-25 Tabish Ali Rather , S M Mahmudul Hasan Joy , Nadezda Sukhorukova , Federico Frascoli

Physics-Informed Neural Networks (PINNs) have become a popular and powerful framework for solving partial differential equations (PDEs), leveraging neural networks to approximate solutions while embedding PDE constraints, boundary…

数值分析 · 数学 2026-02-03 Zijuan Xin , Chenyao Wang , Feng Shi , Yizhong Sun

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…

材料科学 · 物理学 2025-03-04 Yagnik Bandyopadhyay , Harshil Avlani , Houlong L. Zhuang

Uncovering physical laws from experimental data is a fundamental goal of theoretical physics. In this work, we apply the spline-based, interpretable Kolmogorov-Arnold Network (KAN) to explore the algebraic structure underlying the baryon…

高能物理 - 唯象学 · 物理学 2026-01-06 Jian-Yao He , Xun Chen , Xiao-Yan Zhu , Wen Luo

Semantic segmentation plays a crucial role in remote sensing applications, where the accurate extraction and representation of features are essential for high-quality results. Despite the widespread use of encoder-decoder architectures,…

计算机视觉与模式识别 · 计算机科学 2025-01-14 Xianping Ma , Ziyao Wang , Yin Hu , Xiaokang Zhang , Man-On Pun

Low-latency, resource-efficient neural network inference on FPGAs is essential for applications demanding real-time capability and low power. Lookup table (LUT)-based neural networks are a common solution, combining strong representational…

硬件体系结构 · 计算机科学 2026-02-19 Duc Hoang , Aarush Gupta , Philip Harris

Kolmogorov-Arnold Networks (KAN) \cite{liu2024kan} were very recently proposed as a potential alternative to the prevalent architectural backbone of many deep learning models, the multi-layer perceptron (MLP). KANs have seen success in…

机器学习 · 计算机科学 2025-02-10 Yixuan Wang , Jonathan W. Siegel , Ziming Liu , Thomas Y. Hou

Kolmogorov Arnold Networks (KANs) are neural architectures inspired by the Kolmogorov Arnold representation theorem that leverage B Spline parameterizations for flexible, locally adaptive function approximation. Although KANs can capture…

机器学习 · 计算机科学 2025-03-04 Wenhao Liang , Wei Emma Zhang , Lin Yue , Miao Xu , Olaf Maennel , Weitong Chen

The memory wall problem arises due to the disparity between fast processors and slower memory, causing significant delays in data access, even more so on edge devices. Data prefetching is a key strategy to address this, with traditional…

硬件体系结构 · 计算机科学 2025-04-15 Dhruv Kulkarni , Bharat Bhammar , Henil Thaker , Pranav Dhobi , R. P. Gohil , Sai Manoj Pudukotai Dinkarrao

Kolmogorov-Arnold Networks (KANs) were recently introduced as an alternative representation model to MLP. Herein, we employ KANs to construct physics-informed machine learning models (PIKANs) and deep operator models (DeepOKANs) for solving…

机器学习 · 计算机科学 2024-06-06 Khemraj Shukla , Juan Diego Toscano , Zhicheng Wang , Zongren Zou , George Em Karniadakis

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

Kolmogorov--Arnold networks (KANs) have demonstrated their potential as an alternative to multi-layer perceptions (MLPs) in various domains, especially for science-related tasks. However, transfer learning of KANs remains a relatively…

机器学习 · 计算机科学 2025-02-17 Yihang Gao , Michael K. Ng , Vincent Y. F. Tan

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

Sign language production from symbolic notation offers a scalable route to accessible sign animation. We present KANMultiSign, a multi-scale sequence generator that translates HamNoSys notation into two-dimensional human pose sequences. Our…

计算机视觉与模式识别 · 计算机科学 2026-05-12 Guanyi Du , Lintao Wang , Kun Hu , Ziyang Wang

The curse of dimensionality poses a significant challenge to modern multilayer perceptron-based architectures, often causing performance stagnation and scalability issues. Addressing this limitation typically requires vast amounts of data.…

机器学习 · 计算机科学 2024-11-19 Divesh Basina , Joseph Raj Vishal , Aarya Choudhary , Bharatesh Chakravarthi

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

The Kolmogorov-Arnold Network (KAN) has emerged as a promising neural network architecture for small-scale AI+Science applications. However, it suffers from inflexibility in modeling ridge functions, which is widely used in representing the…

计算物理 · 物理学 2025-04-10 Zhiteng Zhou , Zhaoyue Xu , Yi Liu , Shizhao Wang