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Permutation equivariant neural networks employing parameter-sharing schemes have emerged as powerful models for leveraging a wide range of data symmetries, significantly enhancing the generalization and computational efficiency of the…

Machine Learning · Computer Science 2026-03-10 Ran Elbaz , Guy Bar-Shalom , Yam Eitan , Fabrizio Frasca , Haggai Maron

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)…

Machine Learning · Computer Science 2024-10-22 Amanda A. Howard , Bruno Jacob , Panos Stinis

The increasing use of machine learning in clinical decision support has been limited by the lack of transparency of many high-performing models. In clinical settings, predictions must be interpretable, auditable, and actionable. This study…

In this work we propose CVKAN, a complex-valued Kolmogorov-Arnold Network (KAN), to join the intrinsic interpretability of KANs and the advantages of Complex-Valued Neural Networks (CVNNs). We show how to transfer a KAN and the necessary…

Machine Learning · Computer Science 2025-12-01 Matthias Wolff , Florian Eilers , Xiaoyi Jiang

We introduce KANICE (Kolmogorov-Arnold Networks with Interactive Convolutional Elements), a novel neural architecture that combines Convolutional Neural Networks (CNNs) with Kolmogorov-Arnold Network (KAN) principles. KANICE integrates…

Computer Vision and Pattern Recognition · Computer Science 2024-10-23 Md Meftahul Ferdaus , Mahdi Abdelguerfi , Elias Ioup , David Dobson , Kendall N. Niles , Ken Pathak , Steven Sloan

In this work, we explore the use of a novel neural network architecture, the Kolmogorov-Arnold Networks (KANs) as feature extractors for sensor-based (specifically IMU) Human Activity Recognition (HAR). Where conventional networks perform a…

Machine Learning · Computer Science 2024-06-19 Mengxi Liu , Daniel Geißler , Dominique Nshimyimana , Sizhen Bian , Bo Zhou , Paul Lukowicz

Reinforcement learning (RL) has been increasingly applied to network control problems, such as load balancing. However, existing RL approaches often suffer from lack of interpretability and difficulty in extracting controller equations. In…

Machine Learning · Computer Science 2025-05-21 Kamal Singh , Sami Marouani , Ahmad Al Sheikh , Pham Tran Anh Quang , Amaury Habrard

Data science has emerged as fourth paradigm of scientific exploration. However many machine learning models operate as black boxes offering limited insight into the reasoning behind their predictions. This lack of transparency is one of the…

Machine Learning · Computer Science 2025-01-31 Sudhanva Kulkarni

Recent Transformer- and MLP-based models have demonstrated strong performance in long-term time series forecasting, yet Transformers remain limited by their quadratic complexity and permutation-equivariant attention, while MLPs exhibit…

Machine Learning · Computer Science 2026-03-12 Md Zahidul Hasan , A. Ben Hamza , Nizar Bouguila

Graph Neural Networks (GNNs) have shown strong performance on graph-structured data, but their reliance on graph connectivity often limits scalability and efficiency. Kolmogorov-Arnold Networks (KANs), a recent architecture with learnable…

Machine Learning · Computer Science 2025-08-12 Yuan-Hung Chao , Chia-Hsun Lu , Chih-Ya Shen

Uncertainty quantification (UQ) plays a pivotal role in scientific machine learning, especially when surrogate models are used to approximate complex systems. Although multilayer perceptions (MLPs) are commonly employed as surrogates, they…

Numerical Analysis · Mathematics 2025-01-22 Zhiwei Gao , George Em Karniadakis

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,…

Machine Learning · Computer Science 2026-01-22 Spyros Rigas , Fotios Anagnostopoulos , Michalis Papachristou , Georgios Alexandridis

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…

Medical Physics · Physics 2025-09-30 Jiawen Wang , Pei Cai , Ziyan Wang , Huabin Zhang , Jianpan Huang

A wide range of deep learning-based machine learning techniques are extensively applied to the design of high-entropy alloys (HEAs), yielding numerous valuable insights. Kolmogorov-Arnold Networks (KAN) is a recently developed architecture…

Materials Science · Physics 2025-03-04 Yagnik Bandyopadhyay , Harshil Avlani , Houlong L. Zhuang

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…

Machine Learning · Computer Science 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…

Machine Learning · Statistics 2025-12-08 Alejandro Almodóvar , Patricia A. Apellániz , Santiago Zazo , Juan Parras

Hypergraph representation learning has garnered increasing attention across various domains due to its capability to model high-order relationships. Traditional methods often rely on hypergraph neural networks (HNNs) employing message…

Machine Learning · Computer Science 2025-03-18 Xiangfei Fang , Boying Wang , Chengying Huan , Shaonan Ma , Heng Zhang , Chen Zhao

Multilayer perceptron (MLP) networks are predominantly used to develop data-driven constitutive models for granular materials. They offer a compelling alternative to traditional physics-based constitutive models in predicting nonlinear…

Materials Science · Physics 2024-10-16 Farinaz Mostajeran , Salah A Faroughi

The widespread use of Multi-layer perceptrons (MLPs) often relies on a fixed activation function (e.g., ReLU, Sigmoid, Tanh) for all nodes within the hidden layers. While effective in many scenarios, this uniformity may limit the networks…

Machine Learning · Computer Science 2025-04-28 Hy Nguyen , Duy Khoa Pham , Srikanth Thudumu , Hung Du , Rajesh Vasa , Kon Mouzakis

Physical neural networks typically train linear synaptic weights while treating device nonlinearities as fixed. We show the opposite - by training the synaptic nonlinearity itself, as in Kolmogorov-Arnold Network (KAN) architectures, we…

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