تقرير
Sparse space-time models: Concentration Inequalities and Lasso
| العنوان: | Sparse space-time models: Concentration Inequalities and Lasso |
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| المؤلفون: | Ost, Guilherme, Reynaud-Bouret, Patricia |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics Statistics |
| مصطلحات موضوعية: | Mathematics - Statistics Theory |
| الوصف: | Inspired by Kalikow-type decompositions, we introduce a new stochastic model of infinite neuronal networks, for which we establish sharp oracle inequalities for Lasso methods and restricted eigenvalue properties for the associated Gram matrix with high probability. These results hold even if the network is only partially observed. The main argument rely on the fact that concentration inequalities can easily be derived whenever the transition probabilities of the underlying process admit a sparse space-time representation. Comment: 40 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1807.07615 |
| رقم الأكسشن: | edsarx.1807.07615 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |