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This paper proposes a novel approach for designing Single-Parameterized Kolmogorov-Arnold Networks (SKAN) by utilizing a Single-Parameterized Function (SFunc) constructed from trigonometric functions. Three new SKAN variants are developed:…

人工智能 · 计算机科学 2026-01-22 Zhijie Chen , Xinglin Zhang

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

This paper explores alternative formulations of the Kolmogorov Superposition Theorem (KST) as a foundation for neural network design. The original KST formulation, while mathematically elegant, presents practical challenges due to its…

机器学习 · 计算机科学 2026-05-18 Leonardo Ferreira Guilhoto , Paris Perdikaris

Deep neural network (DNN) classifiers are often overconfident, producing miscalibrated class probabilities. In high-risk applications like healthcare, practitioners require $\textit{fully calibrated}$ probability predictions for…

机器学习 · 统计学 2022-12-09 Zhen Lin , Shubhendu Trivedi , Jimeng Sun

The highly nonlinear degradation process, complex physical interactions, and various sources of uncertainty render single-image Super-resolution (SR) a particularly challenging task. Existing interpretable SR approaches, whether based on…

计算机视觉与模式识别 · 计算机科学 2025-12-30 Chenyu Li , Danfeng Hong , Bing Zhang , Zhaojie Pan , Jocelyn Chanussot

We introduce KAN-GCN, a fast and accurate emulator for ice sheet modeling that places a Kolmogorov-Arnold Network (KAN) as a feature-wise calibrator before graph convolution networks (GCNs). The KAN front end applies learnable…

机器学习 · 计算机科学 2025-10-30 Zesheng Liu , YoungHyun Koo , Maryam Rahnemoonfar

The discovery of high-performance thermoelectric materials requires models that are both accurate and interpretable. Traditional machine learning approaches, while effective at property prediction, often act as black boxes and provide…

材料科学 · 物理学 2025-12-15 Marco Fronzi , Michael J. Ford , Kamal Singh Nayal , Olexandr Isayev , Catherine Stampfl

Continual learning (CL), the ability of a model to learn new tasks without forgetting previously acquired knowledge, remains a critical challenge in artificial intelligence, particularly for vision transformers (ViTs) utilizing Multilayer…

计算机视觉与模式识别 · 计算机科学 2025-07-08 Zahid Ullah , Jihie Kim

Neural models, with their ability to provide novel representations, have shown promising results in prediction tasks in healthcare. However, patient demographics, medical technology, and quality of care change over time. This often leads to…

机器学习 · 计算机科学 2022-12-02 Miguel Rios , Ameen Abu-Hanna

Partial differential equations (PDEs) form a central component of scientific computing. Among recent advances in deep learning, evolutionary neural networks have been developed to successively capture the temporal dynamics of time-dependent…

机器学习 · 计算机科学 2026-02-24 Bongseok Kim , Jiahao Zhang , Guang Lin

We introduce Geometric Kolmogorov--Arnold Networks (GeoKANs), a family of geometry-aware KAN-type models in which approximation is carried out in learned, geometry-adapted coordinates rather than in fixed Euclidean input coordinates. GeoKAN…

机器学习 · 计算机科学 2026-05-11 Abhijit Sen , Bikram Keshari Parida , Giridas Maiti , Mahima Arya , Denys I. Bondar

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

Since their introduction, Kolmogorov-Arnold Networks (KANs) have been successfully applied across several domains, with physics-informed machine learning (PIML) emerging as one of the areas where they have thrived. In the PIML setting,…

机器学习 · 计算机科学 2026-01-22 Spyros Rigas , Fotios Anagnostopoulos , Michalis Papachristou , Georgios Alexandridis

This study evaluates the generalization performance and representation efficiency (parsimony) of a previously introduced Tensor Basis Kolmogorov-Arnold Network (TBKAN) architecture for data-driven turbulence modeling. The TBKAN framework…

流体动力学 · 物理学 2025-05-27 Nikhila Kalia , Ryley McConkey , Eugene Yee , Fue-Sang Lien

Kolmogorov-Arnold Networks (KANs) have recently emerged as a novel approach to function approximation, demonstrating remarkable potential in various domains. Despite their theoretical promise, the robustness of KANs under adversarial…

计算机视觉与模式识别 · 计算机科学 2025-03-14 Tal Alter , Raz Lapid , Moshe Sipper

As vast databases of chemical identities become increasingly available, the challenge shifts to how we effectively explore and leverage these resources to study molecular properties. This paper presents an active learning approach for…

机器学习 · 计算机科学 2025-07-17 Ayana Ghosh , Maxim Ziatdinov , Sergei V. Kalinin

Existing low-light image enhancement methods are difficult to fit the complex nonlinear relationship between normal and low-light images due to uneven illumination and noise effects. The recently proposed Kolmogorov-Arnold networks (KANs)…

计算机视觉与模式识别 · 计算机科学 2025-02-07 Aoxiang Ning , Minglong Xue , Jinhong He , Chengyun Song

Quantum machine learning (QML) is promising for potential speedups and improvements in conventional machine learning (ML) tasks (e.g., classification/regression). The search for ideal QML models is an active research field. This includes…

量子物理 · 物理学 2022-02-07 Mahabubul Alam , Swaroop Ghosh

We propose DropKAN (Dropout Kolmogorov-Arnold Networks) a regularization method that prevents co-adaptation of activation function weights in Kolmogorov-Arnold Networks (KANs). DropKAN functions by embedding the drop mask directly within…

机器学习 · 计算机科学 2024-08-21 Mohammed Ghaith Altarabichi

Multivariate time series forecasting is a crucial task that predicts the future states based on historical inputs. Related techniques have been developing in parallel with the machine learning community, from early statistical learning…

机器学习 · 计算机科学 2025-02-12 Xiao Han , Xinfeng Zhang , Yiling Wu , Zhenduo Zhang , Zhe Wu
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