A new approach to rating scale definition with quantum-inspired optimization

Fuente: arXiv
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Autori principali: Spada, Patrizio, Cappelli, Laura, Cibrario, Francesca, Mattia, Christian, Magnaldi, Daniele, Argenton, Matteo, Calore, Enrico, Schifano, Sebastiano Fabio, Bozzi, Concezio, Corbelletto, Davide
Natura: Preprint
Pubblicazione: 2026
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author Spada, Patrizio
Cappelli, Laura
Cibrario, Francesca
Mattia, Christian
Magnaldi, Daniele
Argenton, Matteo
Calore, Enrico
Schifano, Sebastiano Fabio
Bozzi, Concezio
Corbelletto, Davide
author_facet Spada, Patrizio
Cappelli, Laura
Cibrario, Francesca
Mattia, Christian
Magnaldi, Daniele
Argenton, Matteo
Calore, Enrico
Schifano, Sebastiano Fabio
Bozzi, Concezio
Corbelletto, Davide
contents In finance, assessing the creditworthiness of loan applicants requires lenders to cluster borrowers using rating scales. Financial institutions must define the scales in compliance with strict institutional constraints, resulting in solving a complex combinatorial constrained optimization problem. This contribution studies how to solve this problem using a Quadratic Unconstrained Binary Optimization (QUBO) model, a formulation suitable for quantum hardware. We validate this approach by testing the proposed formulation with classical heuristics. We then benchmark the results against a brute-force method to demonstrate consistent solution quality and highlight the framework's suitability for more complex scenarios.
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institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A new approach to rating scale definition with quantum-inspired optimization
Spada, Patrizio
Cappelli, Laura
Cibrario, Francesca
Mattia, Christian
Magnaldi, Daniele
Argenton, Matteo
Calore, Enrico
Schifano, Sebastiano Fabio
Bozzi, Concezio
Corbelletto, Davide
Emerging Technologies
In finance, assessing the creditworthiness of loan applicants requires lenders to cluster borrowers using rating scales. Financial institutions must define the scales in compliance with strict institutional constraints, resulting in solving a complex combinatorial constrained optimization problem. This contribution studies how to solve this problem using a Quadratic Unconstrained Binary Optimization (QUBO) model, a formulation suitable for quantum hardware. We validate this approach by testing the proposed formulation with classical heuristics. We then benchmark the results against a brute-force method to demonstrate consistent solution quality and highlight the framework's suitability for more complex scenarios.
title A new approach to rating scale definition with quantum-inspired optimization
topic Emerging Technologies
url https://arxiv.org/abs/2603.26583