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    Kolmogorov-Arnold wavefunctions

    Paulo F. Bedaque*, Jacob Cigliano†, Hersh Kumar‡, Srijit Paul§, and Suryansh Rajawat∥

    • *Contact author: bedaque@umd.edu
    • †Contact author: cigliano@terpmail.umd.edu
    • ‡Contact author: hekumar@umd.edu
    • §Contact author: spaul137@umd.edu
    • ∥Contact author: suryansh@terpmail.umd.edu

    Phys. Rev. C 112, 054002 – Published 24 November, 2025

    DOI: https://doi.org/10.1103/zj4l-h6nv

    Abstract

    This work investigates Kolmogorov-Arnold network-based (KAN) wave-function Ansätz as viable representations for quantum Monte Carlo simulations. Through systematic analysis of one-dimensional model systems, we evaluate their computational efficiency and representational power against established methods. Our numerical experiments suggest some efficient training methods and we explore how the computational cost scales with desired precision, particle number, and system parameters. Roughly speaking, KANs seem to be 10 times cheaper computationally than other neural-network-based Ansätz. We also introduce a novel approach for handling strong short-range potentials—a persistent challenge for many numerical techniques—which generalizes efficiently to higher-dimensional, physically relevant systems with short-ranged strong potentials common in atomic and nuclear physics.

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