A literature survey of low‐rank tensor approximation techniques
During the last years, low‐rank tensor approximation has been established as a new tool in
scientific computing to address large‐scale linear and multilinear algebra problems, which …
scientific computing to address large‐scale linear and multilinear algebra problems, which …
Reproducibility in matrix and tensor decompositions: Focus on model match, interpretability, and uniqueness
Data-driven solutions are playing an increasingly important role in numerous practical
problems across multiple disciplines. The shift from the traditional model-driven approaches …
problems across multiple disciplines. The shift from the traditional model-driven approaches …
Tensors for data mining and data fusion: Models, applications, and scalable algorithms
Tensors and tensor decompositions are very powerful and versatile tools that can model a
wide variety of heterogeneous, multiaspect data. As a result, tensor decompositions, which …
wide variety of heterogeneous, multiaspect data. As a result, tensor decompositions, which …
Scalable tensor factorizations for incomplete data
The problem of incomplete data–ie, data with missing or unknown values–in multi-way
arrays is ubiquitous in biomedical signal processing, network traffic analysis, bibliometrics …
arrays is ubiquitous in biomedical signal processing, network traffic analysis, bibliometrics …
Learning separable filters
Learning filters to produce sparse image representations in terms of overcomplete
dictionaries has emerged as a powerful way to create image features for many different …
dictionaries has emerged as a powerful way to create image features for many different …
Temporal link prediction using matrix and tensor factorizations
The data in many disciplines such as social networks, Web analysis, etc. is link-based, and
the link structure can be exploited for many different data mining tasks. In this article, we …
the link structure can be exploited for many different data mining tasks. In this article, we …
Generalized canonical polyadic tensor decomposition
Tensor decomposition is a fundamental unsupervised machine learning method in data
science, with applications including network analysis and sensor data processing. This work …
science, with applications including network analysis and sensor data processing. This work …
All-at-once optimization for coupled matrix and tensor factorizations
Joint analysis of data from multiple sources has the potential to improve our understanding
of the underlying structures in complex data sets. For instance, in restaurant …
of the underlying structures in complex data sets. For instance, in restaurant …
3D deep learning for efficient and robust landmark detection in volumetric data
Recently, deep learning has demonstrated great success in computer vision with the
capability to learn powerful image features from a large training set. However, most of the …
capability to learn powerful image features from a large training set. However, most of the …
Extension of PCA to higher order data structures: An introduction to tensors, tensor decompositions, and tensor PCA
The widespread use of multisensor technology and the emergence of big data sets have
brought the necessity to develop more versatile tools to represent higher order data with …
brought the necessity to develop more versatile tools to represent higher order data with …