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Quantifying functional connectivity (FC), a vital metric for the diagnosis of various brain disorders, traditionally relies on the use of a pre-defined brain atlas. However, using such atlases can lead to issues regarding selection bias and…

计算机视觉与模式识别 · 计算机科学 2025-09-26 Tyler Ward , Abdullah-Al-Zubaer Imran

Kolmogorov-Arnold Networks represent a recent advancement in machine learning, with the potential to outperform traditional perceptron-based neural networks across various domains as well as provide more interpretability with the use of…

高能物理 - 唯象学 · 物理学 2024-09-26 E. Abasov , P. Volkov , G. Vorotnikov , L. Dudko , A. Zaborenko , E. Iudin , A. Markina , M. Perfilov

This work introduces Probabilistic Kolmogorov-Arnold Network (P-KAN), a novel probabilistic extension of Kolmogorov-Arnold Networks (KANs) for time series forecasting. By replacing scalar weights with spline-based functional connections and…

机器学习 · 计算机科学 2025-10-21 Cristian J. Vaca-Rubio , Roberto Pereira , Luis Blanco , Engin Zeydan , Màrius Caus

Nuclear mass prediction is one of the core issues in nuclear physics research, yet it faces the challenge of small-sample datasets with high complexity. This study introduces the Kolmogorov-Arnold Network (KAN) into the refinement of…

核理论 · 物理学 2026-03-17 Yanhua Lu , Tianshuai Shang , Pengxiang Du , Jian Li , Haozhao Liang

A physically consistent framework for modeling materials with saturating deformation, such as elastomers and biological tissues, is provided by strain-limiting elasticity. Fundamental limitations of classical elasticity are addressed…

综合数学 · 数学 2026-01-28 Chandana Pati , S. M. Mallikarjunaiah

In this paper, we introduce Wav-KAN, an innovative neural network architecture that leverages the Wavelet Kolmogorov-Arnold Networks (Wav-KAN) framework to enhance interpretability and performance. Traditional multilayer perceptrons (MLPs)…

机器学习 · 计算机科学 2024-05-28 Zavareh Bozorgasl , Hao Chen

Kolmogorov-Arnold Networks (KANs) have seen great success in scientific domains thanks to spline activation functions, becoming an alternative to Multi-Layer Perceptrons (MLPs). However, spline functions may not respect symmetry in tasks,…

机器学习 · 计算机科学 2025-08-18 Lexiang Hu , Yisen Wang , Zhouchen Lin

We investigate the integration of Kolmogorov-Arnold Networks (KANs) into hard-constrained recurrent physics-informed architectures (HRPINN) to evaluate the fidelity of learned residual manifolds in oscillatory systems. Motivated by the…

机器学习 · 计算机科学 2026-03-06 Enzo Nicolas Spotorno , Josafat Leal Filho , Antonio Augusto Medeiros Frohlich

Score prediction is crucial in evaluating realistic image sharpness based on collected informative features. Recently, Kolmogorov-Arnold networks (KANs) have been developed and witnessed remarkable success in data fitting. This study…

计算机视觉与模式识别 · 计算机科学 2024-12-06 Shaode Yu , Ze Chen , Zhimu Yang , Jiacheng Gu , Bizu Feng

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…

Kolmogorov-Arnold Networks (KANs) represent an innovation in neural network architectures, offering a compelling alternative to Multi-Layer Perceptrons (MLPs) in models such as Convolutional Neural Networks (CNNs), Recurrent Neural Networks…

机器学习 · 计算机科学 2025-02-12 Hoang-Thang Ta , Duy-Quy Thai , Anh Tran , Grigori Sidorov , Alexander Gelbukh

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…

图像与视频处理 · 电气工程与系统科学 2024-12-30 Bhavesh Gyanchandani , Aditya Oza , Abhinav Roy

Neural Quantum States (NQS) are a class of variational wave functions parametrized by neural networks (NNs) to study quantum many-body systems. In this work, we propose \texttt{SineKAN}, a NQS \textit{ansatz} based on Kolmogorov-Arnold…

Kolmogorov-Arnold networks (KANs) offer a potent combination of accuracy and interpretability, thanks to their compositions of learnable univariate activation functions. However, the activations of well-fitting KANs tend to exhibit…

机器学习 · 计算机科学 2026-05-05 James Bagrow

Deep neural networks achieve state-of-the-art performance in estimating heterogeneous treatment effects, but their opacity limits trust and adoption in sensitive domains such as medicine, economics, and public policy. Building on…

机器学习 · 统计学 2025-12-08 Alejandro Almodóvar , Patricia A. Apellániz , Santiago Zazo , Juan Parras

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).…

图像与视频处理 · 电气工程与系统科学 2025-05-29 Ze Chen , Shaode Yu

Uncovering the underlying dynamics from observed data is a critical task in various scientific fields. Recent advances have shown that combining deep learning techniques with linear multistep methods (LMMs) can be highly effective for this…

数值分析 · 数学 2025-01-28 Jintao Hu , Hongjiong Tian , Qian Guo

We explore the integration of Kolmogorov Networks (KANs) into molecular dynamics (MD) simulations to improve interatomic potentials. We propose that widely used potentials, such as the Lennard-Jones (LJ) potential, the embedded atom model…

材料科学 · 物理学 2024-07-26 Yuki Nagai , Masahiko Okumura

Kolmogorov-Arnold Networks (KANs) were proposed as an alternative to traditional neural network architectures based on multilayer perceptrons (MLP-NNs). The potential advantages of KANs over MLP-NNs, including significantly enhanced…

材料科学 · 物理学 2026-01-29 Ryan Jacobs , Lane E. Schultz , Dane Morgan

Automatic Generation Control (AGC) is essential for power grid stability but remains vulnerable to stealthy cyberattacks, such as False Data Injection Attacks (FDIAs), which can disturb the system's stability while evading traditional…