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This paper introduces the Hierarchical Kolmogorov-Arnold Network (HKAN), a novel network architecture that offers a competitive alternative to the recently proposed Kolmogorov-Arnold Network (KAN). Unlike KAN, which relies on…

机器学习 · 计算机科学 2026-01-21 Grzegorz Dudek , Tomasz Rodak

Traditional constitutive models rely on hand-crafted parametric forms with limited expressivity and generalizability, while neural network-based models can capture complex material behavior but often lack interpretability. To balance these…

机器学习 · 计算机科学 2025-06-05 Prakash Thakolkaran , Yaqi Guo , Shivam Saini , Mathias Peirlinck , Benjamin Alheit , Siddhant Kumar

Nowadays, deep learning models are increasingly required to be both interpretable and highly accurate. We present an approach that integrates Kolmogorov-Arnold Network (KAN) classification heads and Fuzzy Pooling into convolutional neural…

计算机视觉与模式识别 · 计算机科学 2024-07-24 Ayan Igali , Pakizar Shamoi

In the field of finance, the prediction of individual credit default is of vital importance. However, existing methods face problems such as insufficient interpretability and transparency as well as limited performance when dealing with…

风险管理 · 定量金融 2024-11-28 Kun Liu , Jin Zhao

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…

We develop a method for multifidelity Kolmogorov-Arnold networks (KANs), which use a low-fidelity model along with a small amount of high-fidelity data to train a model for the high-fidelity data accurately. Multifidelity KANs (MFKANs)…

机器学习 · 计算机科学 2024-10-22 Amanda A. Howard , Bruno Jacob , Panos Stinis

Kolmogorov-Arnold Networks (KANs) require significantly smaller architectures compared to multilayer perceptron (MLP)-based approaches, while retaining expressive power through spline-based activations. Moving boundary problems are…

数学物理 · 物理学 2026-02-10 Tarus Pande , V M S K Minnikanti , Shyamprasad Karagadde

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

Neural density estimation has seen widespread applications in the gravitational-wave (GW) data analysis, which enables real-time parameter estimation for compact binary coalescences and enhances rapid inference for subsequent analysis such…

广义相对论与量子宇宙学 · 物理学 2025-12-05 Wenshuai Liu , Yiming Dong , Ziming Wang , Lijing Shao

DreamerV3 is a state-of-the-art online model-based reinforcement learning (MBRL) algorithm known for remarkable sample efficiency. Concurrently, Kolmogorov-Arnold Networks (KANs) have emerged as a promising alternative to Multi-Layer…

机器学习 · 计算机科学 2025-12-09 Chenwei Shi , Xueyu Luan

Kolmogorov Arnold Networks (KANs), built upon the Kolmogorov Arnold representation theorem (KAR), have demonstrated promising capabilities in expressing complex functions with fewer neurons. This is achieved by implementing learnable…

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

Recurrent Neural Networks (RNNs) have revolutionized many areas of machine learning, particularly in natural language and data sequence processing. Long Short-Term Memory (LSTM) has demonstrated its ability to capture long-term dependencies…

机器学习 · 计算机科学 2025-08-01 Remi Genet , Hugo Inzirillo

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…

机器学习 · 计算机科学 2025-12-10 James Bagrow , Josh Bongard

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

Kolmogorov-Arnold Networks (KAN) are a new class of neural network architecture representing a promising alternative to the Multilayer Perceptron (MLP), demonstrating improved expressiveness and interpretability. However, KANs suffer from…

机器学习 · 计算机科学 2025-03-04 Cale Coffman , Lizhong Chen

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

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

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

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