State-space systems as dynamic generative models

• المؤلفون الرئيسيون: Ortega, Juan-Pablo, Rossmannek, Florian
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2025
• الموضوعات: Mathematical Sciences; Echo state property; Fading memory property
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/183455; http://arxiv.org/abs/2404.08717v3

A probabilistic framework to study the dependence structure induced by deterministic discrete-time state-space systems between input and output processes is introduced. General sufficient conditions are formulated under which output processes exist and are unique once an input process has been f...