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A novel artificial neural network method is proposed for solving Cauchy inverse problems. It allows multiple hidden layers with arbitrary width and depth, which theoretically yields better approximations to the inverse problems. In this…

Numerical Analysis · Mathematics 2020-01-07 Yixin Li , Xianliang Hu

For many real-world applications, understanding feature-outcome relationships is as crucial as achieving high predictive accuracy. While traditional neural networks excel at prediction, their black-box nature obscures underlying functional…

Machine Learning · Computer Science 2025-10-03 Wangxuan Fan , Ching Wang , Siqi Li , Nan Liu

Kolmogorov-Arnold Networks (KANs) offer a theoretically grounded alternative to multi-layer perceptrons by representing multivariate functions as compositions of univariate basis functions. However, a critical limitation of KANs is the need…

Machine Learning · Computer Science 2026-05-08 Francesco Alesiani , Henrik Christiansen , Federico Errica

Kolmogorov-Arnold Networks (KANs) uniquely combine high accuracy with interpretability, making them valuable for scientific modeling. However, it is unclear a priori how deep a network needs to be for any given task, and deeper KANs can be…

Machine Learning · Computer Science 2025-08-22 James Bagrow , Josh Bongard

Multi-Layer Perceptrons (MLPs) have become one of the fundamental architectural component in point cloud analysis due to its effective feature learning mechanism. However, when processing complex geometric structures in point clouds, MLPs'…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Yan Shi , Qingdong He , Yijun Liu , Xiaoyu Liu , Jingyong Su

This paper presents an experimental study of Kolmogorov-Arnold Networks (KANs) applied to computer vision tasks, particularly image classification. KANs introduce learnable activation functions on edges, offering flexible non-linear…

Computer Vision and Pattern Recognition · Computer Science 2024-12-02 Karthik Mohan , Hanxiao Wang , Xiatian Zhu

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

Time series forecasting has long been a focus of research across diverse fields, including economics, energy, healthcare, and traffic management. Recent works have introduced innovative architectures for time series models, such as the…

Machine Learning · Computer Science 2025-03-28 Young-Chae Hong , Bei Xiao , Yangho Chen

Recent advancements in both representation learning and function learning have demonstrated substantial promise across diverse domains of artificial intelligence. However, the effective integration of these paradigms poses a significant…

Machine Learning · Computer Science 2024-10-07 Yunhong He , Yifeng Xie , Zhengqing Yuan , Lichao Sun

Kolmogorov-Arnold Networks (KANs) are a recent neural network architecture offering an alternative to Multilayer Perceptrons (MLPs) with improved explainability and expressibility. However, KANs are significantly slower than MLPs due to the…

Machine Learning · Computer Science 2026-04-27 Eduardo Said Merin-Martinez , Andres Mendez-Vazquez , Eduardo Rodriguez-Tello

This paper explores alternative formulations of the Kolmogorov Superposition Theorem (KST) as a foundation for neural network design. The original KST formulation, while mathematically elegant, presents practical challenges due to its…

Machine Learning · Computer Science 2026-05-18 Leonardo Ferreira Guilhoto , Paris Perdikaris

Machine learning models of chemical bioactivity are increasingly used for prioritizing a small number of compounds in virtual screening libraries for experimental follow-up. In these applications, assessing model accuracy by early hit…

Chemical Physics · Physics 2026-03-30 Pavel Koptev , Nikita Krainov , Konstantin Malkov , Alexander Tropsha

Multivariate time series forecasting is a crucial task that predicts the future states based on historical inputs. Related techniques have been developing in parallel with the machine learning community, from early statistical learning…

Machine Learning · Computer Science 2025-02-12 Xiao Han , Xinfeng Zhang , Yiling Wu , Zhenduo Zhang , Zhe Wu

Kolmogorov-Arnold Networks (KANs), whose design is inspired-rather than dictated-by the Kolmogorov superposition theorem, have emerged as a structured alternative to MLPs. This review provides a systematic and comprehensive overview of the…

Machine Learning · Computer Science 2026-05-28 Amir Noorizadegan , Sifan Wang , Leevan Ling , Juan P. Dominguez-Morales

Multilayer perceptrons (MLPs) are a workhorse machine learning architecture, used in a variety of modern deep learning frameworks. However, recently Kolmogorov-Arnold Networks (KANs) have become increasingly popular due to their success on…

Machine Learning · Computer Science 2025-05-26 Jonas A. Actor , Graham Harper , Ben Southworth , Eric C. Cyr

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…

Machine Learning · Computer Science 2025-02-12 Hoang-Thang Ta , Duy-Quy Thai , Anh Tran , Grigori Sidorov , Alexander Gelbukh

Predictive modeling on web-scale tabular data with billions of instances and hundreds of heterogeneous numerical features faces significant scalability challenges. These features exhibit anisotropy, heavy-tailed distributions, and…

Machine Learning · Computer Science 2026-02-27 Mingming Zhang , Pengfei Shi , Zhiqing Xiao , Feng Zhao , Guandong Sun , Yulin Kang , Ruizhe Gao , Ningtao Wang , Xing Fu , Weiqiang Wang , Junbo Zhao

Kolmogorov-Arnold networks (KANs) as an alternative to multi-layer perceptrons (MLPs) are a recent development demonstrating strong potential for data-driven modeling. This work applies KANs as the backbone of a neural ordinary differential…

Machine Learning · Computer Science 2024-09-23 Benjamin C. Koenig , Suyong Kim , Sili Deng

This paper presents a comprehensive evaluation of the potential of Quantum Convolutional Neural Networks (QCNNs) in comparison to classical Convolutional Neural Networks (CNNs) and Artificial / Classical Neural Network (ANN) models. With…

Quantum Physics · Physics 2023-07-25 Gowri Namratha Meedinti , Kandukuri Sai Srirekha , Radhakrishnan Delhibabu

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