Incoherence-optimal matrix completion
WebTherefore, non-uniform sampling is commonly adopted to accelerate data acquisition and then the complete spectrum can be obtained by reconstruction method. At present, the state-of-the-art reconstruction methods are based on the idea of low-rank Hankel matrix completion and solved by different singular value thresholding methods. WebApr 1, 2024 · In contrast, there doesn't seem to be such an intuition for strong incoherence. The author showed that strong incoherence is actually not required for matrix completion, which is desirable since the strong incoherence was usually the dominant factor ( μ 1 ≥ μ 0) in previous bounds.
Incoherence-optimal matrix completion
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WebMay 7, 2024 · This paper describes a novel post-processing algorithm for probabilistic roadmaps (PRMs), inspired by the recent literature on matrix completion. We argue that … WebKey words: Matrix approximation, CUR algorithm, matrix completion 1. Introduction In many machine learning applications, it is convenient to represent data by matrix. Examples include user-item rating matrix in recommender system [SRJ04], gene expression matrix in bioin-∗Corresponding author. Email: [email protected]
WebNov 16, 2024 · The definition of incoherence arose in compressed sensing. ... (2010) The power of convex relaxation: near-optimal matrix completion. IEEE Trans Inf Theory 56(5):2053–2080. CrossRef MathSciNet MATH Google Scholar Donoho DL (1995) De-noising by soft-thresholding. IEEE Trans Inf Theory 41(3):613–627 WebOct 1, 2013 · Incoherence-Optimal Matrix Completion Authors: Yudong Chen Communication University of China Abstract This paper considers the matrix completion …
WebJun 9, 2024 · Incoherence-Optimal Matrix Completion. Article. Oct 2013; IEEE T INFORM THEORY; Yudong Chen; This paper considers the matrix completion problem. We show that it is not necessary to assume joint ... WebIn [7], it was proved 1) that matrix completion is not as ill-posed as previously thought and 2) that exact matrix completion is possible by convex programming. The authors of [7] …
WebOct 1, 2013 · The results show that the standard and joint incoherence conditions are associated, respectively, with the information (statistical) and computational aspects of …
WebOct 1, 2013 · Incoherence-Optimal Matrix Completion. This paper considers the matrix completion problem. We show that it is not necessary to assume joint incoherence, … ray donovan wallpaperWebThe Power of Convex Relaxation: Near-Optimal Matrix Completion Abstract: This paper is concerned with the problem of recovering an unknown matrix from a small fraction of its entries. This is known as the matrix completion problem, and comes up in a great number of applications, including the famous Netflix Prize and other similar questions in ... raydon road york meWebApr 10, 2024 · Exploring potential associations between small molecule drugs (SMs) and microRNAs (miRNAs) is significant for drug development and disease treatment. Since biological experiments are expensive and time-consuming, we propose a computational model based on accurate matrix completion for predicting potential SM–miRNA … ray donovan tv show season 6WebIncoherence-Optimal Matrix Completion Yudong Chen EECS, UC Berkeley [email protected] Abstract This paper considers the matrix completion problem. We show that it is not necessary to ... optimal with respect to the incoherence parameter (as well as to the rank rand the matrix dimension n, except for a lognfactor). As … ray donovan you\u0027ll never walk aloneWebproposed algorithm for two scenarios: matrix completion under Assumption 1, and matrix comple-tion under both Assumption 1 and Assumption 2. Furthermore, we will assume that Assumption 1 always holds, and that the rank k, the condition number ˙ 1 =˙ k, and the incoherence parameter 0 of the matrix Mare bounded from above by a constant, as n!1. simplest way to trade optionsWebIf the underlying matrix satisfies a certain incoherence ... Keywords: matrix completion, low-rank matrices, convex optimization, nuclear norm minimiza- ... is optimal up to a small numerical constant times log(n2). Most importantly, the proof of Theorem 2 is short and straightforward. Cand`es and Recht raydon trolling motorWebMore importantly, the paper shows that, under certain incoherence assumptions on the singular vectors of the matrix, recovery is possible by solving a convenient convex program as soon as the number of entries is on the order of the information theoretic limit (up to logarithmic factors). ray don simpson designing women