In this paper we develop a new Bayesian inference method for low rank matrix reconstruction. We call the new method the Relevance Singular Vector Machine (RSVM) where appropri-ate priors are defined on the singular vectors of the underly-ing matrix to promote low rank. To accelerate computations, a numerically efficient approximation is developed. The pro-posed algorithms are applied to matrix completion and matrix reconstruction problems and their performance is studied nu-merically. Index Terms — Low rank matrix reconstruction, sparse Bayesian learning, Relevance Vector Machine. 1
We consider the problem of recovering an unknown low-rank matrix X with (possibly) non-orthogonal, e...
We propose a novel class of algorithms for low rank matrix completion. Our ap-proach builds on novel...
Relevance vector machines (RVM) have recently attracted much interest in the research community beca...
In this paper we develop a new Bayesian inference method for low rank matrix reconstruction. We call...
In this paper we develop a new Bayesian inference method for lowrank matrix reconstruction. We call ...
Recovery of low-rank matrices has recently seen significant activity in many areas of science and en...
This paper introduces a general Bayesian framework for obtaining sparse solutions to re-gression and...
The Relevance Vector Machine (RVM) is a sparse approximate Bayesian kernel method. It provides full ...
The Relevance Vector Machine (RVM) is a sparse approximate Bayesian kernel method. It provides full ...
Many scientific and engineering problems require us to process measurements and data in order to ext...
This paper proposes a set of piecewise Toeplitz matrices as the linear mapping/sensing operator A: R...
We propose a novel class of algorithms for low rank matrix completion. Our approach builds on novel ...
Expressing a matrix as the sum of a low-rank matrix plus a sparse matrix is a flexible model capturi...
We consider the problem of recovering a matrix M that is the sum of a low-rank matrix L and a sparse...
We propose a new matrix learning scheme to extend relevance learning vector quantization (RLVQ), an ...
We consider the problem of recovering an unknown low-rank matrix X with (possibly) non-orthogonal, e...
We propose a novel class of algorithms for low rank matrix completion. Our ap-proach builds on novel...
Relevance vector machines (RVM) have recently attracted much interest in the research community beca...
In this paper we develop a new Bayesian inference method for low rank matrix reconstruction. We call...
In this paper we develop a new Bayesian inference method for lowrank matrix reconstruction. We call ...
Recovery of low-rank matrices has recently seen significant activity in many areas of science and en...
This paper introduces a general Bayesian framework for obtaining sparse solutions to re-gression and...
The Relevance Vector Machine (RVM) is a sparse approximate Bayesian kernel method. It provides full ...
The Relevance Vector Machine (RVM) is a sparse approximate Bayesian kernel method. It provides full ...
Many scientific and engineering problems require us to process measurements and data in order to ext...
This paper proposes a set of piecewise Toeplitz matrices as the linear mapping/sensing operator A: R...
We propose a novel class of algorithms for low rank matrix completion. Our approach builds on novel ...
Expressing a matrix as the sum of a low-rank matrix plus a sparse matrix is a flexible model capturi...
We consider the problem of recovering a matrix M that is the sum of a low-rank matrix L and a sparse...
We propose a new matrix learning scheme to extend relevance learning vector quantization (RLVQ), an ...
We consider the problem of recovering an unknown low-rank matrix X with (possibly) non-orthogonal, e...
We propose a novel class of algorithms for low rank matrix completion. Our ap-proach builds on novel...
Relevance vector machines (RVM) have recently attracted much interest in the research community beca...