A literature survey of low‐rank tensor approximation techniques

L Grasedyck, D Kressner, C Tobler - GAMM‐Mitteilungen, 2013 - Wiley Online Library
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 …

Reproducibility in matrix and tensor decompositions: Focus on model match, interpretability, and uniqueness

T Adali, F Kantar, MABS Akhonda… - IEEE Signal …, 2022 - ieeexplore.ieee.org
Data-driven solutions are playing an increasingly important role in numerous practical
problems across multiple disciplines. The shift from the traditional model-driven approaches …

Tensors for data mining and data fusion: Models, applications, and scalable algorithms

EE Papalexakis, C Faloutsos… - ACM Transactions on …, 2016 - dl.acm.org
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 …

Scalable tensor factorizations for incomplete data

E Acar, DM Dunlavy, TG Kolda, M Mørup - Chemometrics and Intelligent …, 2011 - Elsevier
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 …

Learning separable filters

R Rigamonti, A Sironi, V Lepetit… - Proceedings of the IEEE …, 2013 - openaccess.thecvf.com
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 …

Temporal link prediction using matrix and tensor factorizations

DM Dunlavy, TG Kolda, E Acar - ACM Transactions on Knowledge …, 2011 - dl.acm.org
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 …

Generalized canonical polyadic tensor decomposition

D Hong, TG Kolda, JA Duersch - SIAM Review, 2020 - SIAM
Tensor decomposition is a fundamental unsupervised machine learning method in data
science, with applications including network analysis and sensor data processing. This work …

All-at-once optimization for coupled matrix and tensor factorizations

E Acar, TG Kolda, DM Dunlavy - arxiv preprint arxiv:1105.3422, 2011 - arxiv.org
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 …

3D deep learning for efficient and robust landmark detection in volumetric data

Y Zheng, D Liu, B Georgescu, H Nguyen… - … Image Computing and …, 2015 - Springer
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 …

Extension of PCA to higher order data structures: An introduction to tensors, tensor decompositions, and tensor PCA

A Zare, A Ozdemir, MA Iwen… - Proceedings of the …, 2018 - ieeexplore.ieee.org
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 …