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Graph is a highly generic and diverse representation, suitable for almost any data processing problem. Spectral graph theory has been shown to provide powerful algorithms, backed by solid linear algebra theory. It thus can be extremely…

计算机视觉与模式识别 · 计算机科学 2023-04-20 Or Streicher , Ido Cohen , Guy Gilboa

Ophthalmologists typically require multimodal data sources to improve diagnostic accuracy in clinical decisions. However, due to medical device shortages, low-quality data and data privacy concerns, missing data modalities are common in…

计算机视觉与模式识别 · 计算机科学 2025-02-18 Chengzhi Liu , Zile Huang , Zhe Chen , Feilong Tang , Yu Tian , Zhongxing Xu , Zihong Luo , Yalin Zheng , Yanda Meng

The large volume and complexity of medical imaging datasets are bottlenecks for storage, transmission, and processing. To tackle these challenges, the application of low-rank matrix approximation (LRMA) and its derivative, local LRMA…

图像与视频处理 · 电气工程与系统科学 2025-02-28 Sisipho Hamlomo , Marcellin Atemkeng , Yusuf Brima , Chuneeta Nunhokee , Jeremy Baxter

Graph matching is a challenging problem with very important applications in a wide range of fields, from image and video analysis to biological and biomedical problems. We propose a robust graph matching algorithm inspired in…

最优化与控制 · 数学 2013-11-26 Marcelo Fiori , Pablo Sprechmann , Joshua Vogelstein , Pablo Musé , Guillermo Sapiro

This paper presents a new modeling strategy for joint unsupervised analysis of multiple high-throughput biological studies. As in Multi-study Factor Analysis, our goals are to identify both common factors shared across studies and…

应用统计 · 统计学 2018-06-27 Roberta De Vito , Ruggero Bellio , Lorenzo Trippa , Giovanni Parmigiani

We consider a variant of matrix completion where entries are revealed in a biased manner. We wish to understand the extent to which such bias can be exploited in improving predictions. Towards that, we propose a natural model where the…

机器学习 · 计算机科学 2025-01-03 Yassir Jedra , Sean Mann , Charlotte Park , Devavrat Shah

Matrix completion is the problem of recovering a low rank matrix by observing a small fraction of its entries. A series of recent works [KOM12,JNS13,HW14] have proposed fast non-convex optimization based iterative algorithms to solve this…

数值分析 · 计算机科学 2014-11-06 Prateek Jain , Praneeth Netrapalli

Traditional functional connectivity based on functional magnetic resonance imaging (fMRI) can only capture pairwise interactions between brain regions. Hypergraphs, which reveal high-order relationships among multiple brain regions, have…

神经元与认知 · 定量生物学 2025-05-20 Wenqi Hu , Xuerui Su , Guanliang Li , Yidi Pan , Aijing Lin

Many healthcare sensing applications utilize multimodal time-series data from sensors embedded in mobile and wearable devices. Federated Learning (FL), with its privacy-preserving advantages, is particularly well-suited for health…

机器学习 · 计算机科学 2024-11-28 Adiba Orzikulova , Jaehyun Kwak , Jaemin Shin , Sung-Ju Lee

Machine learning holds promise for advancing clinical decision support, yet it remains unclear when multimodal learning truly helps in practice, particularly under modality missingness and fairness constraints. In this work, we conduct a…

机器学习 · 计算机科学 2026-03-02 Kejing Yin , Haizhou Xu , Wenfang Yao , Chen Liu , Zijie Chen , Yui Haang Cheung , William K. Cheung , Jing Qin

Scientific studies increasingly collect multiple modalities of data to investigate a phenomenon from several perspectives. In integrative data analysis it is important to understand how information is heterogeneously spread across these…

统计方法学 · 统计学 2021-01-01 Iain Carmichael

The problem of low-rank matrix completion has recently generated a lot of interest leading to several results that offer exact solutions to the problem. However, in order to do so, these methods make assumptions that can be quite…

机器学习 · 统计学 2014-07-14 Srinadh Bhojanapalli , Prateek Jain

We study transfer learning for matrix completion in a Missing Not-at-Random (MNAR) setting that is motivated by biological problems. The target matrix $Q$ has entire rows and columns missing, making estimation impossible without side…

机器学习 · 计算机科学 2025-03-04 Akhil Jalan , Yassir Jedra , Arya Mazumdar , Soumendu Sundar Mukherjee , Purnamrita Sarkar

Matrix completion aims to predict missing elements in a partially observed data matrix which in typical applications, such as collaborative filtering, is large and extremely sparsely observed. A standard solution is matrix factorization,…

机器学习 · 计算机科学 2019-08-06 Xiangju Qin , Paul Blomstedt , Samuel Kaski

Multi-task learning has attracted much attention due to growing multi-purpose research with multiple related data sources. Moreover, transduction with matrix completion is a useful method in multi-label learning. In this paper, we propose a…

机器学习 · 统计学 2023-02-21 Hengfang Wang , Yasi Zhang , Xiaojun Mao , Zhonglei Wang

Missing values are a fundamental problem in data science. Many datasets have missing values that must be properly handled because the way missing values are treated can have large impact on the resulting machine learning model. In medical…

机器学习 · 计算机科学 2023-04-25 Zhi Chen , Sarah Tan , Urszula Chajewska , Cynthia Rudin , Rich Caruana

Multi-source translation is an approach to exploit multiple inputs (e.g. in two different languages) to increase translation accuracy. In this paper, we examine approaches for multi-source neural machine translation (NMT) using an…

计算与语言 · 计算机科学 2018-06-11 Yuta Nishimura , Katsuhito Sudoh , Graham Neubig , Satoshi Nakamura

Data fusion enables powerful and generalizable analyses across multiple sources. However, different data collection capacities across different sources lead to blockwise missingness (BM), which poses challenges in practice. Meanwhile, the…

统计方法学 · 统计学 2025-12-09 Yiming Li , Ying Wei , Molei Liu

Matrix completion is a classical problem in data science wherein one attempts to reconstruct a low-rank matrix while only observing some subset of the entries. Previous authors have phrased this problem as a nuclear norm minimization…

机器学习 · 计算机科学 2019-04-19 Christian Parkinson , Kevin Huynh , Deanna Needell

We address the problem of merging graph and feature-space information while learning a metric from structured data. Existing algorithms tackle the problem in an asymmetric way, by either extracting vectorized summaries of the graph…

机器学习 · 计算机科学 2020-02-17 Nicolo Colombo