Overestimation learning with guarantees

التفاصيل البيبلوغرافية
العنوان: Overestimation learning with guarantees
المؤلفون: Gauffriau, Adrien, Malgouyres, François, Ducoffe, Mélanie
المصدر: AAAI-21, workshop on safeAI, Feb 2021, Valence (Virtual), Spain
سنة النشر: 2021
المجموعة: Computer Science
Statistics
مصطلحات موضوعية: Computer Science - Machine Learning, Computer Science - Artificial Intelligence, Computer Science - Neural and Evolutionary Computing, Statistics - Machine Learning
الوصف: We describe a complete method that learns a neural network which is guaranteed to overestimate a reference function on a given domain. The neural network can then be used as a surrogate for the reference function. The method involves two steps. In the first step, we construct an adaptive set of Majoring Points. In the second step, we optimize a well-chosen neural network to overestimate the Majoring Points. In order to extend the guarantee on the Majoring Points to the whole domain, we necessarily have to make an assumption on the reference function. In this study, we assume that the reference function is monotonic. We provide experiments on synthetic and real problems. The experiments show that the density of the Majoring Points concentrate where the reference function varies. The learned over-estimations are both guaranteed to overestimate the reference function and are proven empirically to provide good approximations of it. Experiments on real data show that the method makes it possible to use the surrogate function in embedded systems for which an underestimation is critical; when computing the reference function requires too many resources.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2101.11717
رقم الأكسشن: edsarx.2101.11717
قاعدة البيانات: arXiv