How Long to Read Signal Decomposition Using Masked Proximal Operators

How Long Does it Take to Read Signal Decomposition Using Masked Proximal Operators?

It takes the average reader to read Signal Decomposition Using Masked Proximal Operators by BENNET E. MEYERS; STEPHEN P. BOYD.

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Description

The decomposition of a time series signal into components is an age old problem, with many different approaches proposed, including traditional filtering and smoothing, seasonal-trend decomposition, Fourier and other decompositions, PCA and newer variants such as nonnegative matrix factorization, various statistical methods, and many heuristic methods.In this monograph, the well-studied problem of decomposing a vector time series signal into components with different characteristics, such as smooth, periodic, nonnegative, or sparse are covered. A general framework in which the components are defined by loss functions (which include constraints), and the signal decomposition is carried out by minimizing the sum of losses of the components (subject to the constraints) are included. When each loss function is the negative log-likelihood of a density for the signal component, this framework coincides with maximum a posteriori probability (MAP) estimation; but it also includes many other interesting cases.Summarizing and clarifying prior results, two distributed optimization methods for computing the decomposition are presented, which find the optimal decomposition when the component class loss functions are convex, and are good heuristics when they are not. Both methods require only the masked proximal operator of each of the component loss functions, a generalization of the well-known proximal operator that handles missing entries in its argument. Both methods are distributed, i.e., handle each component separately. Also included are tractable methods for evaluating the masked proximal operators of some loss functions that have not appeared in the literature.

How long is Signal Decomposition Using Masked Proximal Operators?

Signal Decomposition Using Masked Proximal Operators by BENNET E. MEYERS; STEPHEN P. BOYD. is 0 pages long, and a total of 0 words.

This makes it 0% the length of the average book. It also has 0% more words than the average book.

How Long Does it Take to Read Signal Decomposition Using Masked Proximal Operators Aloud?

The average oral reading speed is 183 words per minute. This means it takes to read Signal Decomposition Using Masked Proximal Operators aloud.

What Reading Level is Signal Decomposition Using Masked Proximal Operators?

Signal Decomposition Using Masked Proximal Operators is suitable for students ages 2 and up.

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