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The use of external data in clinical trials offers numerous advantages, such as reducing the number of patients, increasing study power, and shortening trial durations. In Bayesian inference, information in external data can be transferred…

统计方法学 · 统计学 2025-09-17 Xuetao Lu , J. Jack Lee

We propose a method to reconstruct and cluster incomplete high-dimensional data lying in a union of low-dimensional subspaces. Exploring the sparse representation model, we jointly estimate the missing data while imposing the intrinsic…

计算机视觉与模式识别 · 计算机科学 2017-09-06 João Carvalho , Manuel Marques , João P. Costeira

The Matrix-based Renyi's entropy enables us to directly measure information quantities from given data without the costly probability density estimation of underlying distributions, thus has been widely adopted in numerous statistical…

机器学习 · 统计学 2022-05-17 Yuxin Dong , Tieliang Gong , Shujian Yu , Chen Li

Resting-state fMRI has been shown to provide surrogate biomarkers for the analysis of various diseases. In addition, fMRI data helps in understanding the brain's functional working during resting state and task-induced activity. To improve…

机器学习 · 计算机科学 2021-10-11 Dushyant Sahoo , Christos Davatzikos

The noisy matrix completion problem, which aims to recover a low-rank matrix $\mathbf{X}$ from a partial, noisy observation of its entries, arises in many statistical, machine learning, and engineering applications. In this paper, we…

统计方法学 · 统计学 2021-07-15 Simon Mak , Henry Shaowu Yushi , Yao Xie

Magnetic resonance imaging (MRI) is indispensable for diagnosing and planning treatment in various medical conditions due to its ability to produce multi-series images that reveal different tissue characteristics. However, integrating these…

图像与视频处理 · 电气工程与系统科学 2024-12-11 Churan Wang , Fei Gao , Lijun Yan , Siwen Wang , Yizhou Yu , Yizhou Wang

We propose an algorithm for low rank matrix completion for matrices with binary entries which obtains explicit binary factors. Our algorithm, which we call TBMC (\emph{Tiling for Binary Matrix Completion}), gives interpretable output in the…

数值分析 · 数学 2020-06-23 Melanie Beckerleg , Andrew Thompson

In this paper, we address the multichannel blind source extraction (BSE) of a single source in diffuse noise environments. To solve this problem even faster than by fast multichannel nonnegative matrix factorization (FastMNMF) and its…

Fueled by deep learning, computer-aided diagnosis achieves huge advances. However, out of controlled lab environments, algorithms could face multiple challenges. Open set recognition (OSR), as an important one, states that categories unseen…

计算机视觉与模式识别 · 计算机科学 2023-07-24 Mingyuan Liu , Lu Xu , Jicong Zhang

Shape completion is the problem of completing partial input shapes such as partial scans. This problem finds important applications in computer vision and robotics due to issues such as occlusion or sparsity in real-world data. However,…

计算机视觉与模式识别 · 计算机科学 2021-07-08 Himanshu Arora , Saurabh Mishra , Shichong Peng , Ke Li , Ali Mahdavi-Amiri

Extracting actionable insight from Electronic Health Records (EHRs) poses several challenges for traditional machine learning approaches. Patients are often missing data relative to each other; the data comes in a variety of modalities,…

机器学习 · 计算机科学 2018-11-13 Brandon Malone , Alberto Garcia-Duran , Mathias Niepert

Multimodal MRI offers complementary multi-scale information to characterize the brain structure. However, it remains challenging to effectively integrate multimodal MRI while achieving neuroscience interpretability. Here we propose to use…

神经元与认知 · 定量生物学 2025-12-15 Chengzhi Xia , Jianwei Chen , Yixuan Jiang , Qi Yan , Chao Li

Electronic health record (EHR) systems contain a wealth of multimodal clinical data including structured data like clinical codes and unstructured data such as clinical notes. However, many existing EHR-focused studies has traditionally…

机器学习 · 统计学 2025-08-20 Tianxi Cai , Feiqing Huang , Ryumei Nakada , Linjun Zhang , Doudou Zhou

Alternating Minimization is a widely used and empirically successful heuristic for matrix completion and related low-rank optimization problems. Theoretical guarantees for Alternating Minimization have been hard to come by and are still…

机器学习 · 计算机科学 2014-05-15 Moritz Hardt

The imbalanced data classification is one of the most crucial tasks facing modern data analysis. Especially when combined with other difficulty factors, such as the presence of noise, overlapping class distributions, and small disjuncts,…

机器学习 · 计算机科学 2020-04-08 Michał Koziarski , Michał Woźniak , Bartosz Krawczyk

Autoencoders are popular among neural-network-based matrix completion models due to their ability to retrieve potential latent factors from the partially observed matrices. Nevertheless, when training data is scarce their performance is…

机器学习 · 计算机科学 2018-07-06 Duc Minh Nguyen , Evaggelia Tsiligianni , Robert Calderbank , Nikos Deligiannis

Recent advancements in the acquisition of various brain data sources have created new opportunities for integrating multimodal brain data to assist in early detection of complex brain disorders. However, current data integration approaches…

图像与视频处理 · 电气工程与系统科学 2023-05-26 Reza Shirkavand , Liang Zhan , Heng Huang , Li Shen , Paul M. Thompson

We study the problem of recovering an incomplete $m\times n$ matrix of rank $r$ with columns arriving online over time. This is known as the problem of life-long matrix completion, and is widely applied to recommendation system, computer…

机器学习 · 计算机科学 2016-12-04 Maria-Florina Balcan , Hongyang Zhang

Multi-modal image segmentation faces real-world deployment challenges from incomplete/corrupted modalities degrading performance. While existing methods address training-inference modality gaps via specialized per-combination models, they…

计算机视觉与模式识别 · 计算机科学 2025-09-22 Xiaoqi Zhao , Youwei Pang , Chenyang Yu , Lihe Zhang , Huchuan Lu , Shijian Lu , Georges El Fakhri , Xiaofeng Liu

This work applies Matrix Completion (MC) -- a class of machine-learning methods commonly used in the context of recommendation systems -- to analyse economic complexity. MC is applied to reconstruct the Revealed Comparative Advantage (RCA)…

综合经济学 · 经济学 2021-09-10 Gnecco Giorgio , Nutarelli Federico , Riccaboni Massimo