Cover Image

Structured Kolmogorov-Arnold Neural ODEs for Interpretable Learning and Symbolic Discovery of Nonlinear Dynamics

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Liu, Wei, Bacsa, Kiran, Tang, Loon Ching, Chatzi, Eleni
Format:	Preprint
Published:	2025
Subjects:	Machine Learning Artificial Intelligence Symbolic Computation Chaotic Dynamics Data Analysis, Statistics and Probability
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Data-driven model discovery with Kolmogorov-Arnold networks
by: Moradi, Mohammadamin, et al.
Published: (2024)

Turning Time Series into Algebraic Equations: Symbolic Machine Learning for Interpretable Modeling of Chaotic Time Series
by: Panja, Madhurima, et al.
Published: (2026)

Classifying Complex Dynamical and Stochastic Systems via Physics-Based Recurrence Features
by: Silveira, J. V. M., et al.
Published: (2025)

Nonlinear Propagation of Non-Gaussian Uncertainties
by: Acciarini, Giacomo, et al.
Published: (2024)

Almost-Linear RNNs Yield Highly Interpretable Symbolic Codes in Dynamical Systems Reconstruction
by: Brenner, Manuel, et al.
Published: (2024)

Time-series-analysis-based detection of critical transitions in real-world non-autonomous systems
by: Lehnertz, Klaus
Published: (2024)

Quantifying the irregularity of a time series
by: Potratzki, Max, et al.
Published: (2025)

Analog-based ensembles to characterize turbulent dynamics from observed data
by: Granero-Belinchon, Carlos
Published: (2025)

Recurrence Patterns Correlation
by: Marghoti, Gabriel, et al.
Published: (2025)

Local predictors of explosive synchronization with ordinal methods
by: Leyva, I., et al.
Published: (2025)

Parameter and hidden-state inference in mean-field models from partial observations of finite-size neural networks
by: Ratas, Irmantas, et al.
Published: (2026)

Universal Scaling Laws in Freeway Traffic
by: Lee, Garyoung, et al.
Published: (2025)

Recurrence threshold selection for obtaining robust recurrence characteristics in different embedding dimensions
by: Kraemer, K. Hauke, et al.
Published: (2025)

Transcript-based estimators for characterizing interactions
by: Adams, Manuel, et al.
Published: (2025)

Eigenvector Geometry as a New Route to Criticality in Random Multiplicative Systems
by: Troude, Virgile, et al.
Published: (2025)

Multivariate Joint Recurrence Quantification Analysis: detecting coupling between time series of different dimensionalities
by: Wallot, Sebastian, et al.
Published: (2023)

Disentangling synchrony from serial dependency in paired event time series
by: Odenweller, Adrian, et al.
Published: (2019)

Energy-efficient recurrence quantification analysis
by: Marwan, Norbert
Published: (2025)

Approach to predicting extreme events in time series of chaotic dynamical systems using machine learning techniques
by: Andreani, Alexandre C., et al.
Published: (2025)

Identifying statistical indicators of temporal asymmetry using a data-driven approach
by: Nogare, Teresa Dalle, et al.
Published: (2025)

Distinguishing pairwise and higher-order interactions in coupled oscillators from time series
by: Su, Weiwei, et al.
Published: (2025)

Challenges and perspectives in recurrence analyses of event time series
by: Marwan, Norbert
Published: (2024)

Revealing dynamics of non-autonomous complex systems from data
by: Zhuge, Chengzuo, et al.
Published: (2026)

Learning fluid physics from highly turbulent data using sparse physics-informed discovery of empirical relations (SPIDER)
by: Gurevich, Daniel R., et al.
Published: (2021)

Unifying Lyapunov exponents with probabilistic uncertainty quantification
by: Blake, Liam, et al.
Published: (2024)

Limits to extreme event forecasting in chaotic systems
by: Yuan, Yuan, et al.
Published: (2024)

Causal analysis of inner and outer motions in near-wall turbulence
by: Zhang, Jingxuan, et al.
Published: (2024)

Interpretable and Equation-Free Response Theory for Complex Systems
by: Lucarini, Valerio
Published: (2025)

Survival probability of random networks
by: Peralta-Martinez, Kevin, et al.
Published: (2026)

Entropy estimators for Markovian sequences: A comparative analysis
by: De Gregorio, Juan, et al.
Published: (2023)

Identifying Extreme Events in the Stock Market: A Topological Data Analysis
by: Rai, Anish, et al.
Published: (2024)

A General Framework for Linking Free and Forced Fluctuations via Koopmanism
by: Lucarini, Valerio, et al.
Published: (2025)

Equilibrium Propagation for Learning in Lagrangian Dynamical Systems
by: Massar, Serge
Published: (2025)

Pairwise Distance-Diffusion Analysis (PDDA): A Geometric Framework for Estimating Hurst Exponents in Multivariate Long-Memory Processes
by: Soriano, Diogo C., et al.
Published: (2026)

Large earthquake genesis processes observed with Physical Wavelets
by: Takeda, Fumihide
Published: (2022)

Data-driven sequential analysis of tipping in high-dimensional complex systems
by: Hirose, Tomomasa, et al.
Published: (2026)

Nonlinear interactions between the Amazon River basin and the Tropical North Atlantic at interannual timescales
by: Builes-Jaramillo, Alejandro, et al.
Published: (2025)

Dynamical heterogeneity and universality of power-grids
by: Hartmann, Bálint, et al.
Published: (2023)

Invariant Measures for Data-Driven Dynamical System Identification: Analysis and Application
by: Botvinick-Greenhouse, Jonah
Published: (2025)

Learning Interpretable Hierarchical Dynamical Systems Models from Time Series Data
by: Brenner, Manuel, et al.
Published: (2024)