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Relatedness in the era of machine learning

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  • Tacchella, Andrea
  • Zaccaria, Andrea
  • Miccheli, Marco
  • Pietronero, Luciano

Abstract

Relatedness is a quantification of how much two human activities are similar in terms of the inputs and contexts needed for their development. Under the idea that it is easier to move between related activities than towards unrelated ones, empirical approaches to quantify relatedness are currently used as predictive tools to inform policies and development strategies in governments, international organizations, and firms. Here we show that the standard, widespread approach of estimating Relatedness through the co-location of activities (e.g. Product Space) generates a measure of relatedness that performs worse than trivial auto-correlation prediction strategies. In this paper, working on data about countries’ trade, technologies, and scientific production, we show two main findings. First, we find that a shift from two-product correlations (network-density based) to many-product correlations (decision trees) can dramatically improve the quality of forecasts, allowing the possibility to assist policymakers in optimizing decisions to promote growth. Then, we propose a new methodology to empirically estimate Relatedness that we call Continuous Projection Space (CPS). CPS, which represents a general network embedding technique, vastly outperforms all the co-location, network-based approaches, while retaining similar interpretability in terms of pairwise distances. Depending on the dataset the best approach is always either CPS or machine learning algorithms based on decision trees.

Suggested Citation

  • Tacchella, Andrea & Zaccaria, Andrea & Miccheli, Marco & Pietronero, Luciano, 2023. "Relatedness in the era of machine learning," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
  • Handle: RePEc:eee:chsofr:v:176:y:2023:i:c:s0960077923009724
    DOI: 10.1016/j.chaos.2023.114071
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    3. Stojkoski, Viktor & Hidalgo, César A., 2026. "Optimizing economic complexity," Research Policy, Elsevier, vol. 55(4).
    4. Ilyes Boumahdi & Nouzha Zaoujal, 2026. "Smart Specialization: New Paths to Industrialization of the Moroccan Regions," Journal of the Knowledge Economy, Springer;Portland International Center for Management of Engineering and Technology (PICMET), vol. 17(2), pages 3463-3489, April.
    5. Quinten De Wettinck & Karolien De Bruyne & Wouter Bam & C'esar A. Hidalgo, 2025. "Economic Complexity Alignment and Sustainable Development," Papers 2509.17919, arXiv.org, revised Sep 2025.
    6. Alessio Bumbea & Giuseppe Espa & Marco Gentile & Annamaria Giuffrida & Andrea Mazzitelli & Marco Pini, 2025. "Economic complexity as tool to assess the territorial development: a novel empirical approach inspired by network theory applied to patent data," Quality & Quantity: International Journal of Methodology, Springer, vol. 59(3), pages 1939-1977, June.
    7. Pinheiro, Cristina, 2025. "Relatedness and economic complexity as tools for industrial policy: Insights and limitations," Structural Change and Economic Dynamics, Elsevier, vol. 72(C), pages 1-10.
    8. Schetter, Ulrich & Diodato, Dario & Protzer, Eric & Neffke, Frank & Hausmann, Ricardo, 2024. "From Products to Capabilities: Constructing a Genotypic Product Space," CEPR Discussion Papers 19369, C.E.P.R. Discussion Papers.
    9. Lorenzo Cresti & Dario Mazzilli & Aurelio Patelli & Angelica Sbardella & Andrea Tacchella, 2025. "Vulnerabilities and capabilities in the EU Automotive industry: Leveraging Input-Output Analysis and Economic Complexity," Papers 2501.01781, arXiv.org, revised Jan 2025.
    10. DIODATO Dario, 2024. "Handbook of Economic Complexity for Policy," JRC Research Reports JRC138666, Joint Research Centre.
    11. Valerio De Stefano & Maddalena Mula & Manuel Sebastian Mariani & Andrea Zaccaria, 2025. "From macro to micro: Economic complexity indicators for firm growth," Papers 2507.21754, arXiv.org.
    12. Giambattista Albora & Matteo Straccamore & Andrea Zaccaria, 2024. "Machine learning-based similarity measure to forecast M&A from patent data," Papers 2404.07179, arXiv.org.
    13. Frank Neffke & Angelica Sbardella & Ulrich Schetter & Andrea Tacchella, 2024. "Economic Complexity Analysis," Papers in Evolutionary Economic Geography (PEEG) 2430, Utrecht University, Department of Human Geography and Spatial Planning, Group Economic Geography, revised Oct 2024.
    14. Angelini, Orazio & Gabrielli, Andrea & Tacchella, Andrea & Zaccaria, Andrea & Pietronero, Luciano & Di Matteo, T., 2024. "Forecasting the countries’ gross domestic product growth: The case of Technological Fitness," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).

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