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We consider supervised learning (regression/classification) problems with tensor-valued input. We derive multi-linear sufficient reductions for the regression or classification problem by modeling the conditional distribution of the…

Methodology · Statistics 2025-02-28 Daniel Kapla , Efstathia Bura

Domain generalization is a sub-field of transfer learning that aims at bridging the gap between two different domains in the absence of any knowledge about the target domain. Our approach tackles the problem of a model's weak generalization…

Machine Learning · Computer Science 2021-03-19 Yusuf Mesbah , Youssef Youssry Ibrahim , Adil Mehood Khan

We study low-rank matrix regression in settings where matrix-valued predictors and scalar responses are observed across multiple individuals. Rather than assuming a fully homogeneous coefficient matrices across individuals, we accommodate…

Methodology · Statistics 2025-10-28 Di Wang , Xiaoyu Zhang , Guodong Li , Wenyang Zhang

How to effectively leverage the plentiful existing datasets to train a robust and high-performance model is of great significance for many practical applications. However, a model trained on a naive merge of different datasets tends to…

Computer Vision and Pattern Recognition · Computer Science 2022-12-09 Yajie Liu , Pu Ge , Qingjie Liu , Shichao Fan , Yunhong Wang

Domain generalization methods aim to learn models robust to domain shift with data from a limited number of source domains and without access to target domain samples during training. Popular domain alignment methods for domain…

Machine Learning · Computer Science 2022-06-17 Wenyu Zhang , Mohamed Ragab , Chuan-Sheng Foo

Modern complex datasets often consist of various sub-populations with known group information. In the presence of sub-population heterogeneity, it is crucial to develop robust and generalizable learning methods that (1) can enjoy robust…

Methodology · Statistics 2025-09-30 Weibin Mo , Weijing Tang , Songkai Xue , Yufeng Liu , Ji Zhu

Modern decision-making scenarios often involve data that is both high-dimensional and rich in higher-order contextual information, where existing bandits algorithms fail to generate effective policies. In response, we propose in this paper…

Machine Learning · Computer Science 2025-01-24 Jiannan Li , Yiyang Yang , Yao Wang , Shaojie Tang

One of the central problems in machine learning is domain adaptation. Unlike past theoretical work, we consider a new model for subpopulation shift in the input or representation space. In this work, we propose a provably effective…

Machine Learning · Computer Science 2021-07-21 Tianle Cai , Ruiqi Gao , Jason D. Lee , Qi Lei

Deep learning models perform best when tested on target (test) data domains whose distribution is similar to the set of source (train) domains. However, model generalization can be hindered when there is significant difference in the…

Computer Vision and Pattern Recognition · Computer Science 2020-08-19 Pulkit Khandelwal , Paul Yushkevich

Geographic distribution shift arises when the distribution of locations on Earth in a training dataset is different from what is seen at inference time. Using standard empirical risk minimization (ERM) in this setting can lead to uneven…

Machine Learning · Computer Science 2026-02-10 Ruth Crasto , Esther Rolf

This paper studies a tensor-structured linear regression model with a scalar response variable and tensor-structured predictors, such that the regression parameters form a tensor of order $d$ (i.e., a $d$-fold multiway array) in…

Machine Learning · Computer Science 2020-11-26 Talal Ahmed , Haroon Raja , Waheed U. Bajwa

Although pre-trained language models have exhibited great flexibility and versatility with prompt-based few-shot learning, they suffer from the extensive parameter size and limited applicability for inference. Recent studies have suggested…

Computation and Language · Computer Science 2024-09-24 Juhwan Choi , Yeonghwa Kim , Seunguk Yu , JungMin Yun , YoungBin Kim

Deep neural networks (DNNs) have revolutionized artificial intelligence but often lack performance when faced with out-of-distribution (OOD) data, a common scenario due to the inevitable domain shifts in real-world applications. This…

Machine Learning · Computer Science 2024-08-23 Arsham Gholamzadeh Khoee , Yinan Yu , Robert Feldt

Domain adaptation seeks to leverage the abundant label information in a source domain to improve classification performance in a target domain with limited labels. While the field has seen extensive methodological development, its…

Machine Learning · Statistics 2025-07-31 Elif Vural , Huseyin Karaca

Domain adaption (DA) allows machine learning methods trained on data sampled from one distribution to be applied to data sampled from another. It is thus of great practical importance to the application of such methods. Despite the fact…

Computer Vision and Pattern Recognition · Computer Science 2017-07-20 Hao Lu , Lei Zhang , Zhiguo Cao , Wei Wei , Ke Xian , Chunhua Shen , Anton van den Hengel

In this paper we present a general convex optimization approach for solving high-dimensional multiple response tensor regression problems under low-dimensional structural assumptions. We consider using convex and weakly decomposable…

Statistics Theory · Mathematics 2017-04-17 Garvesh Raskutti , Ming Yuan , Han Chen

Machine learning typically relies on the assumption that training and testing distributions are identical and that data is centrally stored for training and testing. However, in real-world scenarios, distributions may differ significantly…

Machine Learning · Computer Science 2025-08-22 Ying Li , Xingwei Wang , Rongfei Zeng , Praveen Kumar Donta , Ilir Murturi , Min Huang , Schahram Dustdar

The goal of domain generalization is to learn from multiple source domains to generalize to unseen target domains under distribution discrepancy. Current state-of-the-art methods in this area are fully supervised, but for many real-world…

Machine Learning · Computer Science 2020-10-01 Hossein Sharifi-Noghabi , Hossein Asghari , Nazanin Mehrasa , Martin Ester

A central problem in unsupervised domain adaptation is determining what to transfer from labeled source domains to an unlabeled target domain. To handle high-dimensional observations (e.g., images), a line of approaches use deep learning to…

Machine Learning · Computer Science 2026-04-28 Ignavier Ng , Yan Li , Zijian Li , Yujia Zheng , Guangyi Chen , Kun Zhang

Unsupervised learning aims at the discovery of hidden structure that drives the observations in the real world. It is essential for success in modern machine learning. Latent variable models are versatile in unsupervised learning and have…

Machine Learning · Computer Science 2016-06-13 Furong Huang