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Kolmogorov-Arnold Networks (KANs) offer a promising path toward interpretable machine learning: their learnable activations can be studied individually, while collectively fitting complex data accurately. In practice, however, trained…

Machine Learning · Computer Science 2025-12-10 James Bagrow , Josh Bongard

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

This paper proposes a pose-graph attentional graph neural network, called P-GAT, which compares (key)nodes between sequential and non-sequential sub-graphs for place recognition tasks as opposed to a common frame-to-frame retrieval problem…

Computer Vision and Pattern Recognition · Computer Science 2023-11-27 Milad Ramezani , Liang Wang , Joshua Knights , Zhibin Li , Pauline Pounds , Peyman Moghadam

Accurate approximation of complex nonlinear functions is a fundamental challenge across many scientific and engineering domains. Traditional neural network architectures, such as Multi-Layer Perceptrons (MLPs), often struggle to efficiently…

Machine Learning · Computer Science 2024-06-17 Sidharth SS , Keerthana AR , Gokul R , Anas KP

In representation learning on graph-structured data, many popular graph neural networks (GNNs) fail to capture long-range dependencies, leading to performance degradation. Furthermore, this weakness is magnified when the concerned graph is…

Machine Learning · Computer Science 2024-03-07 Mengying Jiang , Guizhong Liu , Yuanchao Su , Xinliang Wu

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

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

Kolmogorov-Arnold Networks (KAN) models were recently proposed and claimed to provide improved parameter scaling and interpretability compared to conventional multilayer perceptron (MLP) models. Inspired by the KAN architecture, we propose…

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 gained attention as an alternative to traditional multilayer perceptrons (MLPs) for deep learning applications in computational physics, particularly for solving inverse problems with sparse data, as…

Machine Learning · Computer Science 2025-06-24 Ali Kashefi , Tapan Mukerji

Human motion is a continuous physical process in 3D space, governed by complex dynamic and kinematic constraints. Existing methods typically represent the human pose as an abstract graph structure, neglecting the intrinsic physical…

Computer Vision and Pattern Recognition · Computer Science 2025-09-16 Shuaijin Wan

In this research, we address the challenge faced by existing deep learning-based human mesh reconstruction methods in balancing accuracy and computational efficiency. These methods typically prioritize accuracy, resulting in large network…

Computer Vision and Pattern Recognition · Computer Science 2023-02-01 Ayman Ali , Ekkasit Pinyoanuntapong , Pu Wang , Mohsen Dorodchi

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…

Numerical Analysis · Mathematics 2026-02-03 Zijuan Xin , Chenyao Wang , Feng Shi , Yizhong Sun

Prediction with high accuracy is essential for various applications such as autonomous driving. Existing prediction models are easily prone to errors in real-world settings where observations (e.g. human poses and locations) are often…

Computer Vision and Pattern Recognition · Computer Science 2021-03-29 Manh Huynh , Gita Alaghband

Multilayer Perceptron (MLP), as a simple yet powerful model, continues to be widely used in classification and regression tasks. However, traditional MLPs often struggle to efficiently capture nonlinear relationships in load data when…

Machine Learning · Computer Science 2025-05-13 Yizhou Ma , Zhuoqin Yang , Luis-Daniel Ibáñez

We propose a novel image based localization system using graph neural networks (GNN). The pretrained ResNet50 convolutional neural network (CNN) architecture is used to extract the important features for each image. Following, the extracted…

Computer Vision and Pattern Recognition · Computer Science 2021-03-18 Ahmed Elmoogy , Xiaodai Dong , Tao Lu , Robert Westendorp , Kishore Reddy

Artificial Neural Networks (ANNs) have significantly advanced various fields by effectively recognizing patterns and solving complex problems. Despite these advancements, their interpretability remains a critical challenge, especially in…

Machine Learning · Computer Science 2025-11-24 Alejandro Polo-Molina , David Alfaya , Jose Portela

Kolmogorov-Arnold Network (KAN) is a network structure recently proposed by Liu et al. (2024) that offers improved interpretability and a more parsimonious design in many science-oriented tasks compared to multi-layer perceptrons. This work…

Machine Learning · Computer Science 2024-12-05 Xianyang Zhang , Huijuan Zhou

Traditional machine learning methods for movement recognition often struggle with limited model interpretability and a lack of insight into human movement dynamics. This study introduces a novel representation learning framework based on…

Machine Learning · Computer Science 2025-07-01 Xingrui Gu , Chuyi Jiang , Erte Wang , Qiang Cui , Leimin Tian , Lianlong Wu , Siyang Song , Chuang Yu

Predicting drug-drug interactions (DDIs) is essential for safe pharmacological treatments. Previous graph neural network (GNN) models leverage molecular structures and interaction networks but mostly rely on linear aggregation and symmetric…

Machine Learning · Computer Science 2026-02-04 Kunyi Fan , Mengjie Chen , Longlong Li , Cunquan Qu