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Blind source separation (BSS) algorithms are unsupervised methods, which are the cornerstone of hyperspectral data analysis by allowing for physically meaningful data decompositions. BSS problems being ill-posed, the resolution requires…

Signal Processing · Electrical Eng. & Systems 2022-09-28 Rémi Carloni Gertosio , Jérôme Bobin , Fabio Acero

We revisit the inductive matrix completion problem that aims to recover a rank-$r$ matrix with ambient dimension $d$ given $n$ features as the side prior information. The goal is to make use of the known $n$ features to reduce sample and…

Machine Learning · Statistics 2018-03-06 Xiao Zhang , Simon S. Du , Quanquan Gu

Matrix completion has received vast amount of attention and research due to its wide applications in various study fields. Existing methods of matrix completion consider only nonlinear (or linear) relations among entries in a data matrix…

Machine Learning · Computer Science 2021-07-16 Saeid Mehrdad , Mohammad Hossein Kahaei

Incomplete pairwise comparison matrices are increasingly employed to save resources and reduce cognitive load by collecting only a subset of all possible pairwise comparisons. We present their graph representation and some completion…

Optimization and Control · Mathematics 2026-03-30 László Csató , Sándor Bozóki

Multimodal electronic health record (EHR) data are widely used in clinical applications. Conventional methods usually assume that each sample (patient) is associated with the unified observed modalities, and all modalities are available for…

Machine Learning · Computer Science 2022-11-01 Chaohe Zhang , Xu Chu , Liantao Ma , Yinghao Zhu , Yasha Wang , Jiangtao Wang , Junfeng Zhao

The problem of finding the missing values of a matrix given a few of its entries, called matrix completion, has gathered a lot of attention in the recent years. Although the problem under the standard low rank assumption is NP-hard,…

Machine Learning · Computer Science 2014-12-01 Vassilis Kalofolias , Xavier Bresson , Michael Bronstein , Pierre Vandergheynst

In this paper, we explore the knowledge transfer under the setting of matrix completion, which aims to enhance the estimation of a low-rank target matrix with auxiliary data available. We propose a transfer learning procedure given prior…

Machine Learning · Statistics 2025-07-04 Dali Liu , Haolei Weng

Network analysis has been a powerful tool to unveil relationships and interactions among a large number of objects. Yet its effectiveness in accurately identifying important node-node interactions is challenged by the rapidly growing…

Machine Learning · Statistics 2024-10-07 Tianxi Cai , Dong Xia , Luwan Zhang , Doudou Zhou

We propose to transfer representational knowledge from multiple sources to a target noisy matrix completion task by aggregating singular subspaces information. Under our representational similarity framework, we first integrate linear…

Machine Learning · Statistics 2024-12-10 Yong He , Zeyu Li , Dong Liu , Kangxiang Qin , Jiahui Xie

Matrix completion is a problem that arises in many data-analysis settings where the input consists of a partially-observed matrix (e.g., recommender systems, traffic matrix analysis etc.). Classical approaches to matrix completion assume…

Machine Learning · Computer Science 2017-05-02 Natali Ruchansky , Mark Crovella , Evimaria Terzi

Large-scale population-based studies in medicine are a key resource towards better diagnosis, monitoring, and treatment of diseases. They also serve as enablers of clinical decision support systems, in particular Computer Aided Diagnosis…

Machine Learning · Computer Science 2022-03-01 Gerome Vivar , Anees Kazi , Hendrik Burwinkel , Andreas Zwergal , Nassir Navab , Seyed-Ahmad Ahmadi

Multimodal Magnetic Resonance Imaging (MRI) provides essential complementary information for analyzing brain tumor subregions. While methods using four common MRI modalities for automatic segmentation have shown success, they often face…

Image and Video Processing · Electrical Eng. & Systems 2024-11-14 Runze Cheng , Zhongao Sun , Ye Zhang , Chun Li

With advanced imaging, sequencing, and profiling technologies, multiple omics data become increasingly available and hold promises for many healthcare applications such as cancer diagnosis and treatment. Multimodal learning for integrative…

Genomics · Quantitative Biology 2022-12-20 Sina Tabakhi , Mohammod Naimul Islam Suvon , Pegah Ahadian , Haiping Lu

Existing machine learning methods for molecular (e.g., gene) embeddings are restricted to specific tasks or data modalities, limiting their effectiveness within narrow domains. As a result, they fail to capture the full breadth of gene…

Data for several applications in diverse fields can be represented as multiple matrices that are linked across rows or columns. This is particularly common in molecular biomedical research, in which multiple molecular "omics" technologies…

Machine Learning · Statistics 2024-08-02 Eric F. Lock

This paper considers the problem of completing a matrix with many missing entries under the assumption that the columns of the matrix belong to a union of multiple low-rank subspaces. This generalizes the standard low-rank matrix completion…

Information Theory · Computer Science 2011-12-30 Brian Eriksson , Laura Balzano , Robert Nowak

This article presents our steps to integrate complex and partly unstructured medical data into a clinical research database with subsequent decision support. Our main application is an integrated faceted search tool, accompanied by the…

Human-Computer Interaction · Computer Science 2018-10-31 Daniel Sonntag , Hans-Jürgen Profitlich

The combination of electronic health records (EHR) and medical images is crucial for clinicians in making diagnoses and forecasting prognosis. Strategically fusing these two data modalities has great potential to improve the accuracy of…

Image and Video Processing · Electrical Eng. & Systems 2024-10-24 Wenfang Yao , Kejing Yin , William K. Cheung , Jia Liu , Jing Qin

The task of predicting missing entries of a matrix, from a subset of known entries, is known as \textit{matrix completion}. In today's data-driven world, data completion is essential whether it is the main goal or a pre-processing step.…

Numerical Analysis · Mathematics 2021-05-18 Henry Adams , Lara Kassab , Deanna Needell

Clustering with incomplete views is a challenge in multi-view clustering. In this paper, we provide a novel and simple method to address this issue. Specifically, the proposed method simultaneously exploits the local information of each…

Computer Vision and Pattern Recognition · Computer Science 2018-09-18 Jie Wen , Zheng Zhang , Yong Xu , Zuofeng Zhong