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Low-rank matrix estimation is a fundamental problem in statistics and machine learning with applications across biomedical sciences, including genetics, medical imaging, drug discovery, and electronic health record data analysis. In the…

Methodology · Statistics 2025-08-20 Sean McGrath , Cenhao Zhu , Ryan O'Dea , Min Guo , Rui Duan

Matrix completion is a modern missing data problem where both the missing structure and the underlying parameter are high dimensional. Although missing structure is a key component to any missing data problems, existing matrix completion…

Machine Learning · Statistics 2020-03-23 Xiaojun Mao , Raymond K. W. Wong , Song Xi Chen

While the matrix completion problem has attracted considerable attention over the decades, few works address the nonignorable missing issue and all have their limitations. In this article, we propose a nuclear norm regularized row- and…

Machine Learning · Statistics 2025-06-30 Yuanhong A , Guoyu Zhang , Yongcheng Zeng , Bo Zhang

Transfer learning has emerged as a powerful technique for improving the performance of machine learning models on new domains where labeled training data may be scarce. In this approach a model trained for a source task, where plenty of…

Machine Learning · Computer Science 2020-06-19 Seyed Mohammadreza Mousavi Kalan , Zalan Fabian , A. Salman Avestimehr , Mahdi Soltanolkotabi

When concept shifts and sample scarcity are present in the target domain of interest, nonparametric regression learners often struggle to generalize effectively. The technique of transfer learning remedies these issues by leveraging data or…

Machine Learning · Statistics 2025-01-22 Haotian Lin , Matthew Reimherr

Conducting valid statistical analyses is challenging in the presence of missing-not-at-random (MNAR) data, where the missingness mechanism is dependent on the missing values themselves even conditioned on the observed data. Here, we…

Methodology · Statistics 2023-06-13 Anna Guo , Jiwei Zhao , Razieh Nabi

Transfer learning is essential when sufficient data comes from the source domain, with scarce labeled data from the target domain. We develop estimators that achieve minimax linear risk for linear regression problems under distribution…

Machine Learning · Computer Science 2021-06-24 Qi Lei , Wei Hu , Jason D. Lee

In this paper, we introduce the first method that (1) can complete kernel matrices with completely missing rows and columns as opposed to individual missing kernel values, (2) does not require any of the kernels to be complete a priori, and…

Machine Learning · Computer Science 2016-02-09 Sahely Bhadra , Samuel Kaski , Juho Rousu

Synthetic Nearest Neighbors (SNN) provides a principled solution to causal matrix completion under missing-not-at-random (MNAR) by exploiting local low-rank structure through fully observed anchor submatrices. However, its effectiveness…

Machine Learning · Computer Science 2026-03-13 Minrui Luo , Zhiheng Zhang

Nearest neighbor (NN) algorithms have been extensively used for missing data problems in recommender systems and sequential decision-making systems. Prior theoretical analysis has established favorable guarantees for NN when the underlying…

Machine Learning · Statistics 2025-09-03 Tathagata Sadhukhan , Manit Paul , Raaz Dwivedi

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…

Machine Learning · Computer Science 2016-12-04 Maria-Florina Balcan , Hongyang Zhang

Missing data is a pervasive challenge spanning diverse data types, including tabular, sensor data, time-series, images and so on. Its origins are multifaceted, resulting in various missing mechanisms. Prior research in this field has…

Machine Learning · Computer Science 2025-03-03 Youran Zhou , Mohamed Reda Bouadjenek , Sunil Aryal

Missing Not at Random (MNAR) and nonnormal data are challenging to handle. Traditional missing data analytical techniques such as full information maximum likelihood estimation (FIML) may fail with nonnormal data as they are built on normal…

Applications · Statistics 2024-06-21 Dandan Tang , Xin Tong

We consider the related tasks of matrix completion and matrix approximation from missing data and propose adaptive sampling procedures for both problems. We show that adaptive sampling allows one to eliminate standard incoherence…

Machine Learning · Statistics 2014-07-15 Akshay Krishnamurthy , Aarti Singh

Lack of performance when it comes to continual learning over non-stationary distributions of data remains a major challenge in scaling neural network learning to more human realistic settings. In this work we propose a new conceptualization…

Machine Learning · Computer Science 2019-05-06 Matthew Riemer , Ignacio Cases , Robert Ajemian , Miao Liu , Irina Rish , Yuhai Tu , Gerald Tesauro

Matrix completion is a class of machine learning methods that concerns the prediction of missing entries in a partially observed matrix. This paper studies matrix completion for mixed data, i.e., data involving mixed types of variables…

Machine Learning · Statistics 2022-11-18 Yunxiao Chen , Xiaoou Li

Current transfer learning methods are mainly based on finetuning a pretrained model with target-domain data. Motivated by the techniques from adversarial machine learning (ML) that are capable of manipulating the model prediction via data…

Computer Vision and Pattern Recognition · Computer Science 2020-07-30 Yun-Yun Tsai , Pin-Yu Chen , Tsung-Yi Ho

Human learners have the natural ability to use knowledge gained in one setting for learning in a different but related setting. This ability to transfer knowledge from one task to another is essential for effective learning. In this paper,…

Statistics Theory · Mathematics 2019-06-10 T. Tony Cai , Hongji Wei

The matrix completion problem aims to reconstruct a low-rank matrix based on a revealed set of possibly noisy entries. Prior works consider completing the entire matrix with generalization error guarantees. However, the completion accuracy…

Machine Learning · Computer Science 2023-12-19 Elad Hazan , Adam Tauman Kalai , Varun Kanade , Clara Mohri , Y. Jennifer Sun

We propose a method that meta-learns a knowledge on matrix factorization from various matrices, and uses the knowledge for factorizing unseen matrices. The proposed method uses a neural network that takes a matrix as input, and generates…

Machine Learning · Statistics 2021-06-30 Tomoharu Iwata