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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…

Machine Learning · Computer Science 2026-04-22 James Bagrow , Josh Bongard

Kolmogorov Arnold Networks is a novel multilayer neuromorphic network that can exhibit higher accuracy than a neural network. It can learn and predict more accurately than neural networks with a smaller number of parameters, and many…

Quantum Physics · Physics 2026-01-01 Hikaru Wakaura

Global warming is leading to unprecedented changes in our planet, with great societal, economical and environmental implications, especially with the growing demand of biofuels and food. Assessing the impact of climate on vegetation is of…

Atmospheric and Oceanic Physics · Physics 2020-12-08 Miguel Morata-Dolz , Diego Bueso , Maria Piles , Gustau Camps-Valls

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.…

Computer Vision and Pattern Recognition · Computer Science 2025-03-28 Yusong Hu , Zichen Liang , Fei Yang , Qibin Hou , Xialei Liu , Ming-Ming Cheng

Graph neural networks (GNNs) excel in learning from network-like data but often lack interpretability, making their application challenging in domains requiring transparent decision-making. We propose the Graph Kolmogorov-Arnold Network…

Machine Learning · Computer Science 2025-06-02 Gianluca De Carlo , Andrea Mastropietro , Aris Anagnostopoulos

This study explores the application of Kolmogorov-Arnold Networks (KANs) in predicting nuclear binding energies, leveraging their ability to decompose complex multi-parameter systems into simpler univariate functions. By utilizing data from…

Nuclear Theory · Physics 2025-02-10 Hao Liu , Jin Lei , Zhongzhou Ren

Granger causality method analyzes the time series causalities without building a complex causality graph. However, the traditional Granger causality method assumes that the causalities lie between time series channels and remain constant,…

Methodology · Statistics 2020-06-16 Zhiheng Zhang , Wenbo Hu , Tian Tian , Jun Zhu

Symbolic discovery of governing equations is a long-standing goal in scientific machine learning, yet a fundamental trade-off persists between interpretability and scalable learning. Classical symbolic regression methods yield explicit…

Machine Learning · Computer Science 2026-03-26 Salah A Faroughi , Farinaz Mostajeran , Amirhossein Arzani , Shirko Faroughi

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…

Nuclear Theory · Physics 2026-03-17 Yanhua Lu , Tianshuai Shang , Pengxiang Du , Jian Li , Haozhao Liang

Graph data is becoming increasingly prevalent due to the growing demand for relational insights in AI across various domains. Organizations regularly use graph data to solve complex problems involving relationships and connections. Causal…

Machine Learning · Computer Science 2026-02-23 Simi Job , Xiaohui Tao , Taotao Cai , Haoran Xie , Jianming Yong , Xin Wang

This paper tests whether Kolmogorov--Arnold Networks (KAN 2.0) are genuinely more noise-robust than Multi-Layer Perceptrons (MLP) and XGBoost for stellar classification (star/galaxy/quasar, 100,000 SDSS DR17 objects). A naive comparison…

Instrumentation and Methods for Astrophysics · Physics 2026-05-29 Kristian Sestak

We introduce KAN-GCN, a fast and accurate emulator for ice sheet modeling that places a Kolmogorov-Arnold Network (KAN) as a feature-wise calibrator before graph convolution networks (GCNs). The KAN front end applies learnable…

Machine Learning · Computer Science 2025-10-30 Zesheng Liu , YoungHyun Koo , Maryam Rahnemoonfar

I introduce a novel algorithm and accompanying Python library, named mlcausality, designed for the identification of nonlinear Granger causal relationships. This novel algorithm uses a flexible plug-in architecture that enables researchers…

Machine Learning · Statistics 2023-09-13 Wojciech "Victor" Fulmyk

This study evaluates the applicability of Kolmogorov-Arnold Networks (KAN) in fraud detection, finding that their effectiveness is context-dependent. We propose a quick decision rule using Principal Component Analysis (PCA) to assess the…

Machine Learning · Computer Science 2024-09-05 Yang Lu , Felix Zhan

That physiological oscillations of various frequencies are present in fMRI signals is the rule, not the exception. Herein, we propose a novel theoretical framework, spatio-temporal Granger causality, which allows us to more reliably and…

Applications · Statistics 2018-03-15 Qiang Luo , Wenlian Lu , Wei Cheng , Pedro A. Valdes-Sosa , Xiaotong Wen , Mingzhou Ding , Jianfeng Feng

Kolmogorov-Arnold Networks (KANs) have recently emerged as a powerful architecture for various machine learning applications. However, their unique structure raises significant concerns regarding their computational overhead. Existing…

Machine Learning · Computer Science 2026-04-07 Bilal Khalid , Pedro Freire , Sergei K. Turitsyn , Jaroslaw E. Prilepsky

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…

Machine Learning · Computer Science 2025-07-29 Ugo Lomoio , Pierangelo Veltri , Pietro Hiram Guzzi

In this paper we test for Granger causality in high-dimensional vector autoregressive models (VARs) to disentangle and interpret the complex causal chains linking radiative forcings and global temperatures. By allowing for high…

Econometrics · Economics 2024-06-04 Marina Friedrich , Luca Margaritella , Stephan Smeekes

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…

Granger causality has been used for the investigation of the inter-dependence structure of the underlying systems of multi-variate time series. In particular, the direct causal effects are commonly estimated by the conditional Granger…

Methodology · Statistics 2016-04-20 Elsa Siggiridou , Dimitris Kugiumtzis