Asymptotic Bayes risk of semi-supervised multitask learning on Gaussian mixture

التفاصيل البيبلوغرافية
العنوان: Asymptotic Bayes risk of semi-supervised multitask learning on Gaussian mixture
المؤلفون: Nguyen, Minh-Toan, Couillet, Romain
سنة النشر: 2023
المجموعة: Computer Science
Statistics
مصطلحات موضوعية: Statistics - Machine Learning, Computer Science - Machine Learning
الوصف: The article considers semi-supervised multitask learning on a Gaussian mixture model (GMM). Using methods from statistical physics, we compute the asymptotic Bayes risk of each task in the regime of large datasets in high dimension, from which we analyze the role of task similarity in learning and evaluate the performance gain when tasks are learned together rather than separately. In the supervised case, we derive a simple algorithm that attains the Bayes optimal performance.
Comment: AISTATS 2023
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2303.02048
رقم الأكسشن: edsarx.2303.02048
قاعدة البيانات: arXiv