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The matrix completion problem aims to reconstruct a low-rank matrix based on a revealed set of possibly noisy entries. Prior works consider completing the entire matrix with generalization error guarantees. However, the completion accuracy can be drastically different over different entries.
Elad Hazan +4 more
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Poisson matrix completion [PDF]
Submitted to IEEE for ...
Yang Cao 0013, Yao Xie 0002
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Conformalized matrix completion
Matrix completion aims to estimate missing entries in a data matrix, using the assumption of a low-complexity structure (e.g., low rank) so that imputation is possible. While many effective estimation algorithms exist in the literature, uncertainty quantification for this problem has proved to be challenging, and existing methods are extremely ...
Yu Gui, Rina Barber, Cong Ma 0001
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Matrix Completion With Noise [PDF]
11 pages, 4 figures, 1 ...
Candès, Emmanuel J., Plan, Yaniv
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Matrix completion aims to reconstruct a data matrix based on observations of a small number of its entries. Usually in matrix completion a single matrix is considered, which can be, for example, a rating matrix in recommendation system. However, in practical situations, data is often obtained from multiple sources which results in a collection of ...
Alaya, Mokhtar Z., Klopp, Olga
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Quaternion Matrix Factorization for Low-Rank Quaternion Matrix Completion
The main aim of this paper is to study quaternion matrix factorization for low-rank quaternion matrix completion and its applications in color image processing.
Jiang-Feng Chen +3 more
doaj +1 more source
In this paper we develop a theory of matrix completion for the extreme case of noisy 1-bit observations. Instead of observing a subset of the real-valued entries of a matrix M, we obtain a small number of binary (1-bit) measurements generated according to a probability distribution determined by the real-valued entries of M. The central question we ask
Mark A. Davenport +3 more
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Matrix Completion with Queries [PDF]
Proceedings of the 21th ACM SIGKDD International Conference on Knowledge Discovery and Data ...
Natali Ruchansky +2 more
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Categorical matrix completion [PDF]
We consider the problem of completing a matrix with categorical-valued entries from partial observations. This is achieved by extending the formulation and theory of one-bit matrix completion. We recover a low-rank matrix $X$ by maximizing the likelihood ratio with a constraint on the nuclear norm of $X$, and the observations are mapped from entries of
Yang Cao 0013, Yao Xie 0002
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Recent advances have shown that the challenging problem of matrix completion arises from real-world applications, such as image recovery, and recommendation systems.
Ying Zhang +3 more
doaj +1 more source

