KAN-ODEs: Kolmogorov–Arnold network ordinary differential equations for learning dynamical systems and hidden physics

BC Koenig, S Kim, S Deng - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
Abstract Kolmogorov–Arnold networks (KANs) as an alternative to multi-layer perceptrons
(MLPs) are a recent development demonstrating strong potential for data-driven modeling …

Kan 2.0: Kolmogorov-arnold networks meet science

Z Liu, P Ma, Y Wang, W Matusik, M Tegmark - arXiv preprint arXiv …, 2024 - arxiv.org
A major challenge of AI+ Science lies in their inherent incompatibility: today's AI is primarily
based on connectionism, while science depends on symbolism. To bridge the two worlds …

Kagnns: Kolmogorov-arnold networks meet graph learning

R Bresson, G Nikolentzos, G Panagopoulos… - arXiv preprint arXiv …, 2024 - arxiv.org
In recent years, Graph Neural Networks (GNNs) have become the de facto tool for learning
node and graph representations. Most GNNs typically consist of a sequence of …

Kanqas: Kolmogorov-arnold network for quantum architecture search

A Kundu, A Sarkar, A Sadhu - EPJ Quantum Technology, 2024 - epjqt.epj.org
Quantum architecture Search (QAS) is a promising direction for optimization and automated
design of quantum circuits towards quantum advantage. Recent techniques in QAS …

A survey on Kolmogorov-Arnold network

S Somvanshi, SA Javed, MM Islam, D Pandit… - arXiv preprint arXiv …, 2024 - arxiv.org
This systematic review explores the theoretical foundations, evolution, applications, and
future potential of Kolmogorov-Arnold Networks (KAN), a neural network model inspired by …

ikan: Global incremental learning with kan for human activity recognition across heterogeneous datasets

M Liu, S Bian, B Zhou, P Lukowicz - Proceedings of the 2024 ACM …, 2024 - dl.acm.org
This work proposes an incremental learning (IL) framework for wearable sensor human
activity recognition (HAR) that tackles two challenges simultaneously: catastrophic forgetting …

Adaptive training of grid-dependent physics-informed kolmogorov-arnold networks

S Rigas, M Papachristou, T Papadopoulos… - IEEE …, 2024 - ieeexplore.ieee.org
Physics-Informed Neural Networks (PINNs) have emerged as a robust framework for solving
Partial Differential Equations (PDEs) by approximating their solutions via neural networks …

Kan4tsf: Are kan and kan-based models effective for time series forecasting?

X Han, X Zhang, Y Wu, Z Zhang, Z Wu - arXiv preprint arXiv:2408.11306, 2024 - arxiv.org
Time series forecasting is a crucial task that predicts the future values of variables based on
historical data. Time series forecasting techniques have been developing in parallel with the …

Fc-kan: Function combinations in kolmogorov-arnold networks

HT Ta, DQ Thai, ABS Rahman, G Sidorov… - arXiv preprint arXiv …, 2024 - arxiv.org
In this paper, we introduce FC-KAN, a Kolmogorov-Arnold Network (KAN) that leverages
combinations of popular mathematical functions such as B-splines, wavelets, and radial …

[HTML][HTML] Kolmogorov–Arnold recurrent network for short term load forecasting across diverse consumers

MU Danish, K Grolinger - Energy Reports, 2025 - Elsevier
Load forecasting plays a crucial role in energy management, directly impacting grid stability,
operational efficiency, cost reduction, and environmental sustainability. Traditional Vanilla …