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The Kolmogorov-Arnold representation theorem states that any continuous multivariable function can be exactly represented as a finite superposition of continuous single variable functions. Subsequent simplifications of this representation…

机器学习 · 统计学 2025-08-04 Sergei Gleyzer , Hanh Nguyen , Dinesh P. Ramakrishnan , Eric A. F. Reinhardt

Kolmogorov-Arnold Networks (KANs) are a recently introduced neural architecture that replace fixed nonlinearities with trainable activation functions, offering enhanced flexibility and interpretability. While KANs have been applied…

机器学习 · 计算机科学 2026-03-31 Spyros Rigas , Dhruv Verma , Georgios Alexandridis , Yixuan Wang

This paper explores uncertainty quantification (UQ) methods in the context of Kolmogorov-Arnold Networks (KANs). We apply an ensemble approach to KANs to obtain a heuristic measure of UQ, enhancing interpretability and robustness in…

Variational quantum algorithms (VQAs) represent a promising approach to utilizing current quantum computing infrastructures. VQAs are based on a parameterized quantum circuit optimized in a closed loop via a classical algorithm. This hybrid…

量子物理 · 物理学 2024-04-10 David Fitzek , Robert S. Jonsson , Werner Dobrautz , Christian Schäfer

In this study, the Quantum-Train Quantum Fast Weight Programmer (QT-QFWP) framework is proposed, which facilitates the efficient and scalable programming of variational quantum circuits (VQCs) by leveraging quantum-driven parameter updates…

量子物理 · 物理学 2024-12-03 Chen-Yu Liu , Samuel Yen-Chi Chen , Kuan-Cheng Chen , Wei-Jia Huang , Yen-Jui Chang

Kolmogorov-Arnold Networks(KANs), as a theoretically efficient neural network architecture, have garnered attention for their potential in capturing complex patterns. However, their application in computer vision remains relatively…

计算机视觉与模式识别 · 计算机科学 2024-11-15 Yueyang Cang , Yu hang liu , Li Shi

Quantum machine learning has established as an interdisciplinary field to overcome limitations of classical machine learning and neural networks. This is a field of research which can prove that quantum computers are able to solve problems…

量子物理 · 物理学 2023-03-13 Meghashrita Das , Tirupati Bolisetti

The Convolutional Neural Networks (CNNs) have been the dominant and effective approach for general computer vision tasks. Recently, Kolmogorov-Arnold neural networks (KANs), based on the Kolmogorov-Arnold representation theorem, have shown…

计算机视觉与模式识别 · 计算机科学 2026-04-28 Zhaoxiang Liu , Zhicheng Ma , Kaikai Zhao , Kai Wang , Shiguo Lian

Quantum Machine Learning (QML) offers tremendous potential but is currently limited by the availability of qubits. We introduce an innovative approach that utilizes pre-trained neural networks to enhance Variational Quantum Circuits (VQC).…

机器学习 · 计算机科学 2024-11-14 Jun Qi , Chao-Han Yang , Samuel Yen-Chi Chen , Pin-Yu Chen , Hector Zenil , Jesper Tegner

Variational quantum algorithms (VQAs) face an inherent trade-off between expressivity and trainability: deeper circuits can represent richer states but suffer from noise accumulation and barren plateaus, while shallow circuits remain…

量子物理 · 物理学 2025-10-31 Shaojun Wu , Shan Jin , Abolfazl Bayat , Xiaoting Wang

Pansharpening aims to fuse high-resolution spatial details from panchromatic images with the rich spectral information of multispectral images. Existing deep neural networks for this task typically rely on static activation functions, which…

计算机视觉与模式识别 · 计算机科学 2026-03-17 Haoyu Zhang , Haojing Chen , Zhen Zhong , Liangjian Deng

Reinforcement Learning (RL) consists of designing agents that make intelligent decisions without human supervision. When used alongside function approximators such as Neural Networks (NNs), RL is capable of solving extremely complex…

量子物理 · 物理学 2024-11-13 Rodrigo Coelho , André Sequeira , Luís Paulo Santos

Driven by the significant advantages offered by quantum computing, research in quantum machine learning has increased in recent years. While quantum speed-up has been demonstrated in some applications of quantum machine learning, a…

量子物理 · 物理学 2024-10-24 Shaozhi Li , M Sabbir Salek , Yao Wang , Mashrur Chowdhury

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…

硬件体系结构 · 计算机科学 2025-09-09 Wei-Hsing Huang , Jianwei Jia , Yuyao Kong , Faaiq Waqar , Tai-Hao Wen , Meng-Fan Chang , Shimeng Yu

Inspired by the remarkable success of artificial neural networks across a broad spectrum of AI tasks, variational quantum circuits (VQCs) have recently seen an upsurge in quantum machine learning applications. The promising outcomes shown…

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…

硬件体系结构 · 计算机科学 2024-09-19 Wei-Hsing Huang , Jianwei Jia , Yuyao Kong , Faaiq Waqar , Tai-Hao Wen , Meng-Fan Chang , Shimeng Yu

Variational quantum algorithms (VQAs) hold great potentials for near-term applications and are promising to achieve quantum advantage on practical tasks. However, VQAs suffer from severe barren plateau problem as well as have a large…

量子物理 · 物理学 2023-09-27 Shuo Liu , Shi-Xin Zhang , Shao-Kai Jian , Hong Yao

By utilising their adaptive activation functions, Kolmogorov-Arnold Networks (KANs) can be applied in a novel way for the diverse machine learning tasks, including cyber threat detection. KANs substitute conventional linear weights with…

密码学与安全 · 计算机科学 2026-04-01 Mohammed Hassanin

Kolmogorov-Arnold Networks (KANs) offer a promising alternative to Multi-Layer Perceptron (MLP) by placing learnable univariate functions on network edges, enhancing interpretability. However, standard KANs lack probabilistic outputs,…

机器学习 · 计算机科学 2025-12-02 Y. Sungtaek Ju

Kolmogorov-Arnold Networks (KANs) have recently emerged as a flexible and parameter-efficient alternative to conventional neural networks. Unlike standard architectures that use fixed node-based activations, KANs place learnable functions…

机器学习 · 计算机科学 2025-11-26 Enrique Luna Villagómez , Vladimir Mahalec