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tn4ml: Tensor Network Training and Customization for Machine Learning

18 February 2025
E. Puljak
Sergio Sánchez Ramírez
Sergi Masot-Llima
Jofre Vallès-Muns
Artur Garcia-Saez
M. Pierini
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Abstract

Tensor Networks have emerged as a prominent alternative to neural networks for addressing Machine Learning challenges in foundational sciences, paving the way for their applications to real-life problems. This paper introduces tn4ml, a novel library designed to seamlessly integrate Tensor Networks into optimization pipelines for Machine Learning tasks. Inspired by existing Machine Learning frameworks, the library offers a user-friendly structure with modules for data embedding, objective function definition, and model training using diverse optimization strategies. We demonstrate its versatility through two examples: supervised learning on tabular data and unsupervised learning on an image dataset. Additionally, we analyze how customizing the parts of the Machine Learning pipeline for Tensor Networks influences performance metrics.

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@article{puljak2025_2502.13090,
  title={ tn4ml: Tensor Network Training and Customization for Machine Learning },
  author={ Ema Puljak and Sergio Sanchez-Ramirez and Sergi Masot-Llima and Jofre Vallès-Muns and Artur Garcia-Saez and Maurizio Pierini },
  journal={arXiv preprint arXiv:2502.13090},
  year={ 2025 }
}
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