Embedding theorems for non-uniformly sampled dynamical systems
نویسندگان
چکیده
منابع مشابه
Kalman Filters for Non-uniformly Sampled Multirate Systems
This paper proposes Kalman filter algorithms, including one-step prediction and filtering, for non-uniformly sampled multirate systems. The stability and convergence of the algorithms are analyzed, and their application to fault detection as well as state estimation in the framework of irregularly sampled data is investigated. Numerical examples are provided to demonstrate the applicability of ...
متن کاملDownsampling Non-Uniformly Sampled Data
Decimating a uniformly sampled signal a factor D involves low-pass antialias filtering with normalized cutoff frequency 1/D followed by picking out every Dth sample. Alternatively, decimation can be done in the frequency domain using the fast Fourier transform (FFT) algorithm, after zero-padding the signal and truncating the FFT. We outline three approaches to decimate nonuniformly sampled sign...
متن کاملPersonalized Ranking for Non-Uniformly Sampled Items
We develop an adapted version of the Bayesian Personalized Ranking (BPR) optimization criterion (Rendle et al., 2009) that takes the non-uniform sampling of negative test items — as in track 2 of the KDD Cup 2011 — into account. Furthermore, we present a modified version of the generic BPR learning algorithm that maximizes the new criterion. We use it to train ranking matrix factorization model...
متن کاملFault Detection and Isolation in Non-uniformly Sampled Systems
Abstract: This paper considers fault detection and isolation (FDI) in a non-uniformly sampled multirate system. By extending the Chow-Willsky scheme from single rate systems to multirate systems, one generates a primary residual vector (PRV) for fault detection. Further, by structuring the PRV to have different sensitivity/insensitivity to different faults, fault isolation is performed. The pow...
متن کاملExtreme value theory for non-uniformly expanding dynamical systems
We establish extreme value statistics for functions with multiple maxima and some degree of regularity on certain non-uniformly expanding dynamical systems. We also establish extreme value statistics for time-series of observations on discrete and continuous suspensions of certain non-uniformly expanding dynamical systems via a general lifting theorem. The main result is that a broad class of o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nonlinearity
سال: 2007
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/20/9/011