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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…

Computer Vision and Pattern Recognition · Computer Science 2024-11-15 Yueyang Cang , Yu hang liu , Li Shi

Kolmogorov-Arnold Networks (KANs) have recently emerged as a powerful alternative to traditional multilayer perceptrons. However, their reliance on predefined, bounded grids restricts their ability to approximate functions on unbounded…

Machine Learning · Computer Science 2025-10-10 Alireza Moradzadeh , Srimukh Prasad Veccham , Lukasz Wawrzyniak , Miles Macklin , Saee G. Paliwal

Function approximation using Haar basis systems offers an efficient implementation when compressed via Patricia trees while retaining the flexibility of wavelets for both global and local fitting. However, like B-spline-based…

Machine Learning · Computer Science 2026-02-05 Susumu Katayama

Machine and deep learning-based algorithms are the emerging approaches in addressing prediction problems in time series. These techniques have been shown to produce more accurate results than conventional regression-based modeling. It has…

Machine Learning · Computer Science 2019-11-22 Sima Siami-Namini , Neda Tavakoli , Akbar Siami Namin

Stock market is often important as it represents the ownership claims on businesses. Without sufficient stocks, a company cannot perform well in finance. Predicting a stock market performance of a company is nearly hard because every time…

Statistical Finance · Quantitative Finance 2023-05-25 Aadhitya A , Rajapriya R , Vineetha R S , Anurag M Bagde

We explore the integration of Kolmogorov Networks (KANs) into molecular dynamics (MD) simulations to improve interatomic potentials. We propose that widely used potentials, such as the Lennard-Jones (LJ) potential, the embedded atom model…

Materials Science · Physics 2024-07-26 Yuki Nagai , Masahiko Okumura

Inspired by the Kolmogorov-Arnold superposition theorem, Kolmogorov-Arnold Networks (KANs) have recently emerged as an improved backbone for most deep learning frameworks, promising more adaptivity than their multilayer perceptron (MLP)…

Machine Learning · Computer Science 2025-08-07 Anastasis Kratsios , Bum Jun Kim , Takashi Furuya

DreamerV3 is a state-of-the-art online model-based reinforcement learning (MBRL) algorithm known for remarkable sample efficiency. Concurrently, Kolmogorov-Arnold Networks (KANs) have emerged as a promising alternative to Multi-Layer…

Machine Learning · Computer Science 2025-12-09 Chenwei Shi , Xueyu Luan

Kolmogorov-Arnold networks (KANs) represent data features by learning the activation functions and demonstrate superior accuracy with fewer parameters, FLOPs, GPU memory usage (Memory), shorter training time (TraT), and testing time (TesT)…

Computer Vision and Pattern Recognition · Computer Science 2026-01-19 Yanheng Wang , Xiaohan Yu , Yongsheng Gao , Jianjun Sha , Jian Wang , Shiyong Yan , Kai Qin , Yonggang Zhang , Lianru Gao

Uncovering the underlying dynamics from observed data is a critical task in various scientific fields. Recent advances have shown that combining deep learning techniques with linear multistep methods (LMMs) can be highly effective for this…

Numerical Analysis · Mathematics 2025-01-28 Jintao Hu , Hongjiong Tian , Qian Guo

In this paper, we introduce the KANtrol framework, which utilizes Kolmogorov-Arnold Networks (KANs) to solve optimal control problems involving continuous time variables. We explain how Gaussian quadrature can be employed to approximate the…

Optimization and Control · Mathematics 2024-09-11 Alireza Afzal Aghaei

The effectiveness of long short term memory networks trained by backpropagation through time for stock price prediction is explored in this paper. A range of different architecture LSTM networks are constructed trained and tested.

Neural and Evolutionary Computing · Computer Science 2016-08-30 Hengjian Jia

Forecasting in financial markets remains a significant challenge due to their nonlinear and regime-dependent dynamics. Traditional deep learning models, such as long short-term memory networks and multilayer perceptrons, often struggle to…

Machine Learning · Computer Science 2026-03-24 Vidhi Oad , Param Pathak , Nouhaila Innan , Shalini D , Muhammad Shafique

Kolmogorov-Arnold Networks (KANs) have gained attention for their potential to outperform Multi-Layer Perceptrons (MLPs) in terms of parameter efficiency and interpretability. Unlike traditional MLPs, KANs use learnable non-linear…

Hardware Architecture · Computer Science 2026-03-19 Sohaib Errabii , Olivier Sentieys , Marcello Traiola

The development of Kolmogorov-Arnold networks (KANs) marks a significant shift from traditional multi-layer perceptrons in deep learning. Initially, KANs employed B-spline curves as their primary basis function, but their inherent…

Machine Learning · Computer Science 2024-06-21 Alireza Afzal Aghaei

While LSTMs show increasingly promising results for forecasting Financial Time Series (FTS), this paper seeks to assess if attention mechanisms can further improve performance. The hypothesis is that attention can help prevent long-term…

Machine Learning · Computer Science 2018-12-20 Thomas Hollis , Antoine Viscardi , Seung Eun Yi

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

The present document delineates the analysis, design, implementation, and benchmarking of various neural network architectures within a short-term frequency prediction system for the foreign exchange market (FOREX). Our aim is to simulate…

Mathematical Finance · Quantitative Finance 2024-05-15 Theodoros Zafeiriou , Dimitris Kalles

This work is the first to adopt Kolmogorov-Arnold Networks (KAN), a recent breakthrough in artificial intelligence, for smart grid optimizations. To fully leverage KAN's interpretability, a general framework is proposed considering complex…

Systems and Control · Electrical Eng. & Systems 2024-08-09 Xiaoting Wang , Yuzhuo Li , Yunwei Li , Gregory Kish

Neural networks are powerful parametric function approximators, while Gaussian processes (GPs) are nonparametric probabilistic models that place distributions over functions via kernel-defined correlations but become computationally…

Machine Learning · Computer Science 2025-12-09 Masoud Ataei , Vikas Dhiman , Mohammad Javad Khojasteh