An Efficient Method to Learn Overcomplete Multi-Scale Dictionaries of ECG Signals

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Entropy of Overcomplete Kernel Dictionaries

In signal analysis and synthesis, linear approximation theory considers a linear decomposition of any given signal in a set of atoms, collected into a so-called dictionary. Relevant sparse representations are obtained by relaxing the orthogonality condition of the atoms, yielding overcomplete dictionaries with an extended number of atoms. More generally than the linear decomposition, overcomple...

متن کامل

Local identification of overcomplete dictionaries

This paper presents the first theoretical results showing that stable identification of overcomplete μcoherent dictionaries Φ ∈ Rd×K is locally possible from training signals with sparsity levels S up to the order O(μ−2) and signal to noise ratios up to O( √ d). In particular the dictionary is recoverable as the local maximum of a new maximisation criterion that generalises the K-means criterio...

متن کامل

Learning Sparsely Used Overcomplete Dictionaries

We consider the problem of learning sparsely used overcomplete dictionaries, where each observation is a sparse combination of elements from an unknown overcomplete dictionary. We establish exact recovery when the dictionary elements are mutually incoherent. Our method consists of a clustering-based initialization step, which provides an approximate estimate of the true dictionary with guarante...

متن کامل

On the Basis of Overcomplete Dictionaries

An important case of multiuser channel estimation is considered here, the problem of identifying the crosstalk that disturbs a DSL signal. Crosstalk originates from signals transmitted on nearby pairs in a telephone cable, and couples over unknown pair-to-pair crosstalk coupling channels into the pair carrying the signal. While crosstalk is generally the dominant impairment for current DSL syst...

متن کامل

Exact Recovery of Sparsely Used Overcomplete Dictionaries

We consider the problem of learning overcomplete dictionaries in the context of sparse coding, where each sample selects a sparse subset of dictionary elements. Our method consists of two stages, viz., initial estimation of the dictionary, and a clean-up phase involving estimation of the coefficient matrix, and re-estimation of the dictionary. We prove that our method exactly recovers both the ...

متن کامل

ذخیره 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: Applied Sciences

سال: 2018

ISSN: 2076-3417

DOI: 10.3390/app8122569