English
Related papers

Related papers: A Kolmogorov-Arnold Neural Model for Cascading Ext…

200 papers

We introduce an anomaly detection method for multivariate time series data with the aim of identifying critical periods and features influencing extreme climate events like snowmelt in the Arctic. This method leverages the Variational…

Machine Learning · Computer Science 2024-07-16 Tolulope Ale , Nicole-Jeanne Schlegel , Vandana P. Janeja

With the rapid advancement of neural networks, methods for option pricing have evolved significantly. This study employs the Black-Scholes-Merton (B-S-M) model, incorporating an additional variable to improve the accuracy of predictions…

Computational Engineering, Finance, and Science · Computer Science 2024-12-03 Zeyuan Li , Qingdao Huang

The neurons of Kolmogorov-Arnold Networks (KANs) perform a simple summation motivated by the Kolmogorov-Arnold representation theorem, which asserts that sum is the only fundamental multivariate function. In this work, we investigate the…

Machine Learning · Computer Science 2024-07-31 Mohammed Ghaith Altarabichi

In this work, we explore the use of a novel neural network architecture, the Kolmogorov-Arnold Networks (KANs) as feature extractors for sensor-based (specifically IMU) Human Activity Recognition (HAR). Where conventional networks perform a…

Machine Learning · Computer Science 2024-06-19 Mengxi Liu , Daniel Geißler , Dominique Nshimyimana , Sizhen Bian , Bo Zhou , Paul Lukowicz

Recent financial disasters emphasised the need to investigate the consequence associated with the tail co-movements among institutions; episodes of contagion are frequently observed and increase the probability of large losses affecting…

Methodology · Statistics 2013-11-05 Mauro Bernardi , Ghislaine Gayraud , Lea Petrella

The random cluster model is used to define an upper bound on a distance measure as a function of the number of data points to be classified and the expected value of the number of classes to form in a hybrid K-means and regression…

Machine Learning · Computer Science 2016-02-12 Robert A. Murphy

Understanding the behaviour of environmental extreme events is crucial for evaluating economic losses, assessing risks, health care and many other aspects. In the spatial context, relevant for environmental events, the dependence structure…

Methodology · Statistics 2021-03-22 Manaf Ahmed , Véronique Maume-Deschamps , Pierre Ribereau

Kolmogorov-Arnold Networks (KANs) have recently shown promise for solving partial differential equations (PDEs). Yet their original formulation is computationally and memory intensive, motivating the introduction of Chebyshev Type-I-based…

Machine Learning · Computer Science 2026-01-19 Hangwei Zhang , Zhimu Huang , Yan Wang

The choice of optimal event variables is crucial for achieving the maximal sensitivity of experimental analyses. Over time, physicists have derived suitable kinematic variables for many typical event topologies in collider physics. Here we…

High Energy Physics - Phenomenology · Physics 2021-05-24 Doojin Kim , Kyoungchul Kong , Konstantin T. Matchev , Myeonghun Park , Prasanth Shyamsundar

Traffic accidents pose a significant threat to public safety, resulting in numerous fatalities, injuries, and a substantial economic burden each year. The development of predictive models capable of real-time forecasting of post-accident…

Machine Learning · Computer Science 2025-11-04 Pouyan Sajadi , Mahya Qorbani , Sobhan Moosavi , Erfan Hassannayebi

Economically responsible mitigation of multivariate extreme risks-such as extreme rainfall over large areas, large simultaneous variations in many stock prices, or widespread breakdowns in transportation systems-requires assessing the…

Machine Learning · Statistics 2026-01-13 Stéphane Lhaut , Holger Rootzén , Johan Segers

Machine learning models play a vital role in the prediction task in several fields of study. In this work, we utilize the ability of machine learning algorithms to predict the occurrence of extreme events in a nonlinear mechanical system.…

Machine Learning · Computer Science 2021-12-03 J. Meiyazhagan , S. Sudharsan , A. Venkatasen , M. Senthilvelan

Extreme precipitation events occurring over large spatial domains pose substantial threats to societies because they can trigger compound flooding, landslides, and infrastructure failures across wide areas. A hybrid framework for spatial…

Applications · Statistics 2025-09-15 Zimu Wang , Yifan Wu , Daning Bi

Load forecasting plays a crucial role in energy management, directly impacting grid stability, operational efficiency, cost reduction, and environmental sustainability. Traditional Vanilla Recurrent Neural Networks (RNNs) face issues such…

Machine Learning · Computer Science 2025-01-14 Muhammad Umair Danish , Katarina Grolinger

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

Assessing an athlete's performance in canoe sprint is often established by measuring a variety of kinematic parameters during training sessions. Many of these parameters are related to single or multiple paddle stroke cycles. Determining…

Computer Vision and Pattern Recognition · Computer Science 2025-03-26 Sarah Rockstroh , Patrick Frenzel , Daniel Matthes , Kay Schubert , David Wollburg , Mirco Fuchs

We search for the signature of universal properties of extreme events, theoretically predicted for Axiom A flows, in a chaotic and high dimensional dynamical system by studying the convergence of GEV (Generalized Extreme Value) and GP…

Chaotic Dynamics · Physics 2020-11-16 Vera Melinda Galfi , Tamas Bodai , Valerio Lucarini

To address the challenge of tractability for optimizing mathematical models in science and engineering, surrogate models are often employed. Recently, a new class of machine learning models named Kolmogorov Arnold Networks (KANs) have been…

Optimization and Control · Mathematics 2025-03-05 Tanuj Karia , Giacomo Lastrucci , Artur M. Schweidtmann

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

Time series anomaly detection (TSAD) underpins real-time monitoring in cloud services and web systems, allowing rapid identification of anomalies to prevent costly failures. Most TSAD methods driven by forecasting models tend to overfit by…

Machine Learning · Computer Science 2026-05-29 Quan Zhou , Changhua Pei , Fei Sun , Jing Han , Zhengwei Gao , Dan Pei , Haiming Zhang , Gaogang Xie , Jianhui Li