The types of large matrices that appear in mod-ern Machine Learning problems often have com-plex hierarchical structures that go beyond what can be found by traditional linear algebra tools, such as eigendecompositions. Inspired by ideas from multiresolution analysis, this paper intro-duces a new notion of matrix factorization that can capture structure in matrices at multiple dif-ferent scales. The resulting Multiresolution Ma-trix Factorizations (MMFs) not only provide a wavelet basis for sparse approximation, but can also be used for matrix compression (similar to Nyström approximations) and as a prior for ma-trix completion. 1
Matrix factorization is a common task underlying several machine learning applications such as recom...
International audienceThe computational cost of many signal processing and machine learning techniqu...
Matrix factorization exploits the idea that, in complex high-dimensional data, the actual signal typ...
This work introduces Divide-Factor-Combine (DFC), a parallel divide-and-conquer framework for noisy ...
Low rank matrix factorization is an important step in many high dimensional machine learning algorit...
Matrix factorizations have found two main applications in machine learning, namely for efficient dat...
Structure-enforced matrix factorization (SeMF) represents a large class of mathematical models ap-pe...
Structure-enforced matrix factorization (SeMF) represents a large class of mathematical models ap- p...
Clustering is a fundamental problem in unsupervised and semi-supervised machine learning. Besides cl...
Recent advances in Artificial Intelligence (AI) are characterized by ever-increasing sizes of datase...
• NMF: an unsupervised family of algorithms that simultaneously perform dimension reduction and clus...
It continues to be much cheaper to store data than to analyze it. This state of data analysis motiva...
Non-negative Matrix Factorization (NMF) is a tra-ditional unsupervised machine learning technique fo...
Nonnegative matrix factorization (NMF) has become a very popular technique in machine learning becau...
Matrices that can be factored into a product of two simpler matricescan serve as a useful and often ...
Matrix factorization is a common task underlying several machine learning applications such as recom...
International audienceThe computational cost of many signal processing and machine learning techniqu...
Matrix factorization exploits the idea that, in complex high-dimensional data, the actual signal typ...
This work introduces Divide-Factor-Combine (DFC), a parallel divide-and-conquer framework for noisy ...
Low rank matrix factorization is an important step in many high dimensional machine learning algorit...
Matrix factorizations have found two main applications in machine learning, namely for efficient dat...
Structure-enforced matrix factorization (SeMF) represents a large class of mathematical models ap-pe...
Structure-enforced matrix factorization (SeMF) represents a large class of mathematical models ap- p...
Clustering is a fundamental problem in unsupervised and semi-supervised machine learning. Besides cl...
Recent advances in Artificial Intelligence (AI) are characterized by ever-increasing sizes of datase...
• NMF: an unsupervised family of algorithms that simultaneously perform dimension reduction and clus...
It continues to be much cheaper to store data than to analyze it. This state of data analysis motiva...
Non-negative Matrix Factorization (NMF) is a tra-ditional unsupervised machine learning technique fo...
Nonnegative matrix factorization (NMF) has become a very popular technique in machine learning becau...
Matrices that can be factored into a product of two simpler matricescan serve as a useful and often ...
Matrix factorization is a common task underlying several machine learning applications such as recom...
International audienceThe computational cost of many signal processing and machine learning techniqu...
Matrix factorization exploits the idea that, in complex high-dimensional data, the actual signal typ...