Cover Image

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Calafà, Matteo, Andriollo, Tito, Engsig-Karup, Allan P., Jeong, Cheol-Ho
Format:	Preprint
Published:	2025
Subjects:	Computational Engineering, Finance, and Science
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Physics-Informed Holomorphic Neural Networks (PIHNNs): Solving Linear Elasticity Problems
by: Calafà, Matteo, et al.
Published: (2024)

Crack detection by holomorphic neural networks and transfer-learning-enhanced genetic optimization
by: Hund, Jonas, et al.
Published: (2025)

A holomorphic neural network framework for 3D boundary value problems governed by harmonic potentials
by: Ballini, Enrico, et al.
Published: (2026)

Reduced basis methods for numerical room acoustic simulations with parametrized boundaries
by: Llopis, Hermes Sampedro, et al.
Published: (2021)

HergNet: a Fast Neural Surrogate Model for Sound Field Predictions via Superposition of Plane Waves
by: Calafà, Matteo, et al.
Published: (2025)

Evaluation of acoustic Green's function in rectangular rooms with general surface impedance walls
by: Calafà, Matteo, et al.
Published: (2026)

Enhanced Runge-Kutta Discontinuous Galerkin Method for Ultrasound Propagation in Transit-Time Flow Meters
by: Calafà, Matteo, et al.
Published: (2024)

Option Pricing with Convolutional Kolmogorov-Arnold Networks
by: Li, Zeyuan, et al.
Published: (2024)

Kolmogorov-Arnold Network for Gene Regulatory Network Inference
by: Tong, Tsz Pan, et al.
Published: (2025)

KANO: Kolmogorov-Arnold Neural Operator
by: Lee, Jin, et al.
Published: (2025)

Forecasting VIX using interpretable Kolmogorov-Arnold networks
by: Cho, So-Yoon, et al.
Published: (2025)

Surface impedance inference via neural fields and sparse acoustic data obtained by a compact array
by: Xia, Yuanxin, et al.
Published: (2026)

DeepOKAN: Deep Operator Network Based on Kolmogorov Arnold Networks for Mechanics Problems
by: Abueidda, Diab W., et al.
Published: (2024)

Reduced-Order Surrogates for Forced Flexible Mesh Coastal-Ocean Models
by: Petersen, Freja Høgholm, et al.
Published: (2026)

KANOP: A Data-Efficient Option Pricing Model using Kolmogorov-Arnold Networks
by: Handal, Rushikesh, et al.
Published: (2024)

A Dual Physics-Informed Kolmogorov-Arnold Neural Network Framework for Continuum Topology Optimization
by: Zhang, Junyuan, et al.
Published: (2026)

Baseline-free Damage Detection and Localization on Composite Structures with Unsupervised Kolmogorov-Arnold Autoencoder and Guided Waves
by: Liao, Yunlai, et al.
Published: (2025)

Partition-of-Unity Gaussian Kolmogorov-Arnold Networks
by: Noorizadegan, Amir
Published: (2026)

Scientific Machine Learning with Kolmogorov-Arnold Networks
by: Faroughi, Salah A., et al.
Published: (2025)

Scale-Parameter Selection in Gaussian Kolmogorov-Arnold Networks
by: Noorizadegan, Amir, et al.
Published: (2026)

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks
by: Vanherreweghe, Mathew, et al.
Published: (2025)

DEDEM: Discontinuity Embedded Deep Energy Method for solving fracture mechanics problems
by: Zhao, Luyang, et al.
Published: (2024)

The Enhanced Physics-Informed Kolmogorov-Arnold Networks: Applications of Newton's Laws in Financial Deep Reinforcement Learning (RL) Algorithms
by: Thoi, Trang, et al.
Published: (2026)

Material Fingerprinting: A shortcut to material model discovery without solving optimization problems
by: Flaschel, Moritz, et al.
Published: (2025)

Energy-based PINNs for solving coupled field problems: concepts and application to the multi-objective optimal design of an induction heater
by: Baldan, Marco, et al.
Published: (2024)

Interpretable domain knowledge enhanced machine learning framework on axial capacity prediction of circular CFST columns
by: Wang, Dian, et al.
Published: (2024)

A physics-augmented neural network framework for finite strain incompressible viscoelasticity
by: Kalina, Karl A., et al.
Published: (2025)

Symbolic--KAN: Kolmogorov-Arnold Networks with Discrete Symbolic Structure for Interpretable Learning
by: Faroughi, Salah A, et al.
Published: (2026)

Convolutional neural network based reduced order modeling for multiscale problems
by: Zhang, Xuhan, et al.
Published: (2024)

Generalized and high-efficiency arbitrary-positioned buffer for smoothed particle hydrodynamics
by: Zhang, Shuoguo, et al.
Published: (2024)

Neural networks meet anisotropic hyperelasticity: A framework based on generalized structure tensors and isotropic tensor functions
by: Kalina, Karl A., et al.
Published: (2024)

Unfitted hybrid high-order methods stabilized by polynomial extension for elliptic interface problems
by: Burman, Erik, et al.
Published: (2025)

A hybrid global local computational framework for ship hull structural analysis using homogenized model and graph neural network
by: Cai, Yuecheng, et al.
Published: (2025)

A dual-stage constitutive modeling framework based on finite strain data-driven identification and physics-augmented neural networks
by: Linden, Lennart, et al.
Published: (2025)

Option pricing model under the G-expectation framework
by: Pei, Ziting, et al.
Published: (2026)

Real-time topology optimization via learnable mappings
by: Garayalde, Gabriel, et al.
Published: (2023)

GrainGNN: A dynamic graph neural network for predicting 3D grain microstructure
by: Qin, Yigong, et al.
Published: (2024)

Neural network based approach for solving problems in plane wave duct acoustics
by: Veerababu, D., et al.
Published: (2024)

Image-based adaptive domain decomposition for continuum damage models
by: Pantidis, Panos, et al.
Published: (2024)

Inverse design of dual-band valley-Hall topological photonic crystals with arbitrary pseudospin states
by: Sato, Yuki, et al.
Published: (2025)