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Kolmogorov-Arnold Networks (KANs) are a recently introduced neural architecture that replace fixed nonlinearities with trainable activation functions, offering enhanced flexibility and interpretability. While KANs have been applied…

机器学习 · 计算机科学 2026-03-31 Spyros Rigas , Dhruv Verma , Georgios Alexandridis , Yixuan Wang

In this paper, we compare the performance of Kolmogorov-Arnold Networks (KAN) and Multi-Layer Perceptron (MLP) networks on irregular or noisy functions. We control the number of parameters and the size of the training samples to ensure a…

机器学习 · 计算机科学 2024-08-16 Chen Zeng , Jiahui Wang , Haoran Shen , Qiao Wang

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

Ultrafast online learning is essential for high-frequency systems, such as controls for quantum computing and nuclear fusion, where adaptation must occur on sub-microsecond timescales. Meeting these requirements demands low-latency,…

硬件体系结构 · 计算机科学 2026-05-05 Duc Hoang , Aarush Gupta , Philip Harris

Graph Representation Learning aims to create effective embeddings for nodes and edges that encapsulate their features and relationships. Graph Neural Networks (GNNs) leverage neural networks to model complex graph structures. Recently, the…

机器学习 · 计算机科学 2025-01-23 Muhieddine Shebaro , Jelena Tešić

Physics-informed neural networks have proven to be a powerful tool for solving differential equations, leveraging the principles of physics to inform the learning process. However, traditional deep neural networks often face challenges in…

Recent advancements in deep learning for image classification predominantly rely on convolutional neural networks (CNNs) or Transformer-based architectures. However, these models face notable challenges in medical imaging, particularly in…

计算机视觉与模式识别 · 计算机科学 2025-02-26 Zhuoqin Yang , Jiansong Zhang , Xiaoling Luo , Zheng Lu , Linlin Shen

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

Accurate pancreas segmentation is critical for early cancer diagnosis, where annotation scarcity necessitates Semi-Supervised Learning (SSL). However, due to significant inter-sample morphological variability, existing SSL methods face…

计算机视觉与模式识别 · 计算机科学 2026-05-27 Yuqi Liu , Yufei Chen , Wei Fu , Xiaodong Yue , Shuo Li

Medical image enhancement and segmentation are critical yet challenging tasks in modern clinical practice, constrained by artifacts and complex anatomical variations. Traditional deep learning approaches often rely on complex architectures…

计算机视觉与模式识别 · 计算机科学 2025-09-18 Maksim Penkin , Andrey Krylov

Functional connectivity (FC) analysis, a valuable tool for computer-aided brain disorder diagnosis, traditionally relies on atlas-based parcellation. However, issues relating to selection bias and a lack of regard for subject specificity…

计算机视觉与模式识别 · 计算机科学 2026-01-05 Tyler Ward , Abdullah Imran

Kolmogorov Arnold Networks (KANs) are recent architectural advancement in neural computation that offer a mathematically grounded alternative to standard neural networks. This study presents an empirical evaluation of KANs in context of…

机器学习 · 计算机科学 2025-07-21 Pankaj Yadav , Vivek Vijay

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

Efforts to improve Kolmogorov--Arnold networks (KANs) with architectural enhancements have been stymied by the complexity those enhancements bring, undermining the interpretability that makes KANs attractive in the first place. Here we…

机器学习 · 计算机科学 2026-04-22 James Bagrow , Josh Bongard

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…

机器学习 · 计算机科学 2025-07-29 Ugo Lomoio , Pierangelo Veltri , Pietro Hiram Guzzi

Physics-Informed Neural Networks (PINNs) have emerged as a powerful mesh-free framework for solving ordinary and partial differential equations by embedding the governing physical laws directly into the loss function. However, their…

Continual learning requires models to train continuously across consecutive tasks without forgetting. Most existing methods utilize linear classifiers, which struggle to maintain a stable classification space while learning new tasks.…

计算机视觉与模式识别 · 计算机科学 2025-03-28 Yusong Hu , Zichen Liang , Fei Yang , Qibin Hou , Xialei Liu , Ming-Ming Cheng

Inspired by the Kolmogorov-Arnold representation theorem, KANs offer a novel framework for function approximation by replacing traditional neural network weights with learnable univariate functions. This design demonstrates significant…

机器学习 · 计算机科学 2025-06-10 Zhangchi Zhao , Jun Shu , Deyu Meng , Zongben Xu

Purpose: This study aims to propose and investigate the feasibility of using Kolmogorov-Arnold Network (KAN) for CEST MRI data analysis (CEST-KAN). Methods: CEST MRI data were acquired from twelve healthy volunteers at 3T. Data from ten…

医学物理 · 物理学 2025-09-30 Jiawen Wang , Pei Cai , Ziyan Wang , Huabin Zhang , Jianpan Huang

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