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Related papers: TKAN: Temporal Kolmogorov-Arnold Networks

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High-dimensional linear mappings, or linear layers, dominate both the parameter count and the computational cost of most modern deep-learning models. We introduce a general-purpose drop-in replacement, lookup multivariate Kolmogorov-Arnold…

Machine Learning · Computer Science 2025-10-20 Sergey Pozdnyakov , Philippe Schwaller

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 neighborhood aggregation (a.k.a., message-passing) layers, within which…

Kolmogorov Arnold Networks (KANs) are neural architectures inspired by the Kolmogorov Arnold representation theorem that leverage B Spline parameterizations for flexible, locally adaptive function approximation. Although KANs can capture…

Machine Learning · Computer Science 2025-03-04 Wenhao Liang , Wei Emma Zhang , Lin Yue , Miao Xu , Olaf Maennel , Weitong Chen

Multilayer Perceptron (MLP), as a simple yet powerful model, continues to be widely used in classification and regression tasks. However, traditional MLPs often struggle to efficiently capture nonlinear relationships in load data when…

Machine Learning · Computer Science 2025-05-13 Yizhou Ma , Zhuoqin Yang , Luis-Daniel Ibáñez

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…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Zahid Ullah , Jihie Kim

The Kolmogorov-Arnold Network (KAN) is a novel multi-layer network model recognized for its efficiency in neuromorphic computing, where synapses between neurons are trained linearly. Computations in KAN are performed by generating a…

Quantum Physics · Physics 2025-12-19 Hikaru Wakaura , Rahmat Mulyawan , Andriyan B. Suksmono

Symbolic neural networks, such as Kolmogorov-Arnold Networks (KAN), offer a promising approach for integrating prior knowledge with data-driven methods, making them valuable for addressing inverse problems in scientific and engineering…

Machine Learning · Computer Science 2024-11-05 Xia Chen , Guoquan Lv , Xinwei Zhuang , Carlos Duarte , Stefano Schiavon , Philipp Geyer

The present paper introduces concurrency-driven enhancements to the training algorithm for the Kolmogorov-Arnold networks (KANs) that is based on the Newton-Kaczmarz (NK) method. Prior research shows that KANs trained using the NK-based…

Machine Learning · Computer Science 2026-03-30 Andrew Polar , Michael Poluektov

Recent developments have introduced Kolmogorov-Arnold Networks (KAN), an innovative architectural paradigm capable of replicating conventional deep neural network (DNN) capabilities while utilizing significantly reduced parameter counts…

Hardware Architecture · Computer Science 2025-09-09 Wei-Hsing Huang , Jianwei Jia , Yuyao Kong , Faaiq Waqar , Tai-Hao Wen , Meng-Fan Chang , Shimeng Yu

We introduce quantum Kolmogorov-Arnold networks (QKAN), a quantum algorithmic framework inspired by the recently proposed Kolmogorov-Arnold Networks (KAN). QKAN inherits the compositional structure of KAN and is based on block-encodings,…

Quantum Physics · Physics 2026-05-14 Petr Ivashkov , Po-Wei Huang , Kelvin Koor , Lirandë Pira , Patrick Rebentrost

Artificial Neural Networks (ANNs) have significantly advanced various fields by effectively recognizing patterns and solving complex problems. Despite these advancements, their interpretability remains a critical challenge, especially in…

Machine Learning · Computer Science 2025-11-24 Alejandro Polo-Molina , David Alfaya , Jose Portela

Kolmogorov-Arnold Networks (KANs) shift neural computation from linear layers to learnable nonlinear edge functions, but implementing these nonlinearities efficiently in hardware remains an open challenge. Here we introduce a physical…

Algorithmic level developments like Convolutional Neural Networks, transformers, attention mechanism, Retrieval Augmented Generation and so on have changed Artificial Intelligence. Recent such development was observed by Kolmogorov-Arnold…

Computer Vision and Pattern Recognition · Computer Science 2025-06-03 Ashim Dahal , Saydul Akbar Murad , Nick Rahimi

Recently, a novel model named Kolmogorov-Arnold Networks (KAN) has been proposed with the potential to achieve the functionality of traditional deep neural networks (DNNs) using orders of magnitude fewer parameters by parameterized B-spline…

Hardware Architecture · Computer Science 2024-09-19 Wei-Hsing Huang , Jianwei Jia , Yuyao Kong , Faaiq Waqar , Tai-Hao Wen , Meng-Fan Chang , Shimeng Yu

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

Kolmogorov-Arnold Networks (KANs) have inspired numerous works exploring their applications across a wide range of scientific problems, with the potential to replace Multilayer Perceptrons (MLPs). While many KANs are designed using basis…

Machine Learning · Computer Science 2025-03-11 Hoang-Thang Ta , Anh Tran

Traditional Recurrent Neural Network (RNN) architectures, such as LSTM and GRU, have historically held prominence in time series tasks. However, they have recently seen a decline in their dominant position across various time series tasks.…

Machine Learning · Computer Science 2024-01-18 Haowen Hou , F. Richard Yu

This study addresses a critical challenge in time series anomaly detection: enhancing the predictive capability of loan default models more than three months in advance to enable early identification of default events, helping financial…

Machine Learning · Computer Science 2025-07-21 Yue Yang , Zihan Su , Ying Zhang , Chang Chuan Goh , Yuxiang Lin , Anthony Graham Bellotti , Boon Giin Lee

Transformers stand as the cornerstone of mordern deep learning. Traditionally, these models rely on multi-layer perceptron (MLP) layers to mix the information between channels. In this paper, we introduce the Kolmogorov-Arnold Transformer…

Machine Learning · Computer Science 2024-09-18 Xingyi Yang , Xinchao Wang

This paper introduces Kolmogorov-Arnold Networks (KAN) as an enhancement to the traditional linear probing method in transfer learning. Linear probing, often applied to the final layer of pre-trained models, is limited by its inability to…

Machine Learning · Computer Science 2024-09-13 Sheng Shen , Rabih Younes