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In biomedical research and other fields, it is now common to generate high content data that are both multi-source and multi-way. Multi-source data are collected from different high-throughput technologies while multi-way data are collected…

Machine Learning · Statistics 2025-02-28 Zhiyu Kang , Raghavendra B. Rao , Eric F. Lock

Time-evolving data sets can often be arranged as a higher-order tensor with one of the modes being the time mode. While tensor factorizations have been successfully used to capture the underlying patterns in such higher-order data sets, the…

Machine Learning · Computer Science 2023-10-31 Christos Chatzis , Max Pfeffer , Pedro Lind , Evrim Acar

Tensor factorizations have been widely used for the task of uncovering patterns in various domains. Often, the input is time-evolving, shifting the goal to tracking the evolution of the underlying patterns instead. To adapt to this more…

Machine Learning · Computer Science 2025-09-18 Christos Chatzis , Carla Schenker , Max Pfeffer , Evrim Acar

In exploratory tensor mining, a common problem is how to analyze a set of variables across a set of subjects whose observations do not align naturally. For example, when modeling medical features across a set of patients, the number and…

Machine Learning · Computer Science 2017-03-14 Ioakeim Perros , Evangelos E. Papalexakis , Fei Wang , Richard Vuduc , Elizabeth Searles , Michael Thompson , Jimeng Sun

Phenotyping electronic health records (EHR) focuses on defining meaningful patient groups (e.g., heart failure group and diabetes group) and identifying the temporal evolution of patients in those groups. Tensor factorization has been an…

Machine Learning · Computer Science 2019-11-15 Ardavan Afshar , Ioakeim Perros , Haesun Park , Christopher deFilippi , Xiaowei Yan , Walter Stewart , Joyce Ho , Jimeng Sun

The PARAFAC2 is a multimodal factor analysis model suitable for analyzing multi-way data when one of the modes has incomparable observation units, for example because of differences in signal sampling or batch sizes. A fully probabilistic…

Data fusion models based on Coupled Matrix and Tensor Factorizations (CMTF) have been effective tools for joint analysis of data from multiple sources. While the vast majority of CMTF models are based on the strictly multilinear…

Machine Learning · Computer Science 2025-06-17 Carla Schenker , Xiulin Wang , David Horner , Morten A. Rasmussen , Evrim Acar

Given an irregular dense tensor, how can we efficiently analyze it? An irregular tensor is a collection of matrices whose columns have the same size and rows have different sizes from each other. PARAFAC2 decomposition is a fundamental tool…

Machine Learning · Computer Science 2022-06-03 Jun-Gi Jang , U Kang

Non-negative tensor factorization has been shown a practical solution to automatically discover phenotypes from the electronic health records (EHR) with minimal human supervision. Such methods generally require an input tensor describing…

Machine Learning · Computer Science 2020-11-13 Kejing Yin , William K. Cheung , Benjamin C. M. Fung , Jonathan Poon

In numerous settings, it is increasingly common to deal with longitudinal data organized as high-dimensional multi-dimensional arrays, also known as tensors. Within this framework, the time-continuous property of longitudinal data often…

Methodology · Statistics 2026-01-28 Lucas Sort , Laurent Le Brusquet , Arthur Tenenhaus

In the age of large and heterogeneous datasets, the integration of information from diverse sources is essential to improve parameter estimation. Multi-task learning offers a powerful approach by enabling simultaneous learning across…

Methodology · Statistics 2025-07-11 Sohom Bhattacharya , Yongzhuo Chen , Muxuan Liang

Coupled matrix and tensor factorizations (CMTF) have emerged as an effective data fusion tool to jointly analyze data sets in the form of matrices and higher-order tensors. The PARAFAC2 model has shown to be a promising alternative to the…

Machine Learning · Computer Science 2023-06-05 Carla Schenker , Xiulin Wang , Evrim Acar

It has become routine to collect data that are structured as multiway arrays (tensors). There is an enormous literature on low rank and sparse matrix factorizations, but limited consideration of extensions to the tensor case in statistics.…

Methodology · Statistics 2013-06-10 Jing Zhou , Anirban Bhattacharya , Amy Herring , David Dunson

Multimodal electronic health record (EHR) data can offer a holistic assessment of a patient's health status, supporting various predictive healthcare tasks. Recently, several studies have embraced the multitask learning approach in the…

Machine Learning · Computer Science 2024-06-19 Muhao Xu , Zhenfeng Zhu , Youru Li , Shuai Zheng , Yawei Zhao , Kunlun He , Yao Zhao

While the volume of electronic health records (EHR) data continues to grow, it remains rare for hospital systems to capture dense physiological data streams, even in the data-rich intensive care unit setting. Instead, typical EHR records…

Machine Learning · Computer Science 2018-12-04 Satya Narayan Shukla , Benjamin M. Marlin

Despite the eminent successes of deep neural networks, many architectures are often hard to transfer to irregularly-sampled and asynchronous time series that commonly occur in real-world datasets, especially in healthcare applications. This…

Machine Learning · Computer Science 2020-09-16 Max Horn , Michael Moor , Christian Bock , Bastian Rieck , Karsten Borgwardt

Multi-task sparse feature learning aims to improve the generalization performance by exploiting the shared features among tasks. It has been successfully applied to many applications including computer vision and biomedical informatics.…

Machine Learning · Statistics 2012-10-23 Pinghua Gong , Jieping Ye , Changshui Zhang

Electronic phenotyping is the task of ascertaining whether an individual has a medical condition of interest by analyzing their medical record and is foundational in clinical informatics. Increasingly, electronic phenotyping is performed…

Machine Learning · Statistics 2019-01-08 Daisy Yi Ding , Chloé Simpson , Stephen Pfohl , Dave C. Kale , Kenneth Jung , Nigam H. Shah

The decoupling of multivariate functions is a powerful modeling paradigm for learning multivariate input-output relations from data. For the single-layer case, established CPD-based methods are available, but the multi-layer case remained…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Joppe De Jonghe , Konstantin Usevich , Philippe Dreesen , Mariya Ishteva

Tensor factorization has been demonstrated as an efficient approach for computational phenotyping, where massive electronic health records (EHRs) are converted to concise and meaningful clinical concepts. While distributing the tensor…

Machine Learning · Computer Science 2019-11-04 Jing Ma , Qiuchen Zhang , Jian Lou , Joyce C. Ho , Li Xiong , Xiaoqian Jiang
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