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We study the implicit bias of AdaGrad on separable linear classification problems. We show that AdaGrad converges to a direction that can be characterized as the solution of a quadratic optimization problem with the same feasible set as the…

Machine Learning · Statistics 2019-06-11 Qian Qian , Xiaoyuan Qian

Adapting large language models (LLMs) to specific domains often faces a critical bottleneck: the scarcity of high-quality, human-curated data. While large volumes of unchecked data are readily available, indiscriminately using them for…

Computation and Language · Computer Science 2025-09-09 Jian Wu , Hang Yu , Bingchang Liu , Wenjie Yang , Peng Di , Jianguo Li , Yue Zhang

What sorts of structure might enable a learner to discover classes from unlabeled data? Traditional approaches rely on feature-space similarity and heroic assumptions on the data. In this paper, we introduce unsupervised learning under…

Machine Learning · Computer Science 2022-12-02 Manley Roberts , Pranav Mani , Saurabh Garg , Zachary C. Lipton

Partial Label Learning (PLL) is a typical weakly supervised learning task, which assumes each training instance is annotated with a set of candidate labels containing the ground-truth label. Recent PLL methods adopt identification-based…

Machine Learning · Computer Science 2024-10-01 Jiayu Hu , Senlin Shu , Beibei Li , Tao Xiang , Zhongshi He

We propose a deep learning approach to the obstacle problem inspired by the first-order system least-squares (FOSLS) framework. This method reformulates the problem as a convex minimization task; by simultaneously approximating the…

Numerical Analysis · Mathematics 2025-08-28 Gabriel Acosta , Eugenia Belén , Francisco M. Bersetche , Juan Pablo Borthagaray

Unsupervised domain adaptation leverages rich information from a labeled source domain to model an unlabeled target domain. Existing methods attempt to align the cross-domain distributions. However, the statistical representations of the…

Machine Learning · Computer Science 2021-11-04 Youshan Zhang , Brian D. Davison

Linear regression with shuffled labels and with a noisy latent design matrix arises in many correspondence recovery problems. We propose a total least-squares approach to the problem of estimating the underlying true permutation and provide…

Statistics Theory · Mathematics 2022-09-05 Qian Wang , Daniel Sussman

While deep learning strategies achieve outstanding results in computer vision tasks, one issue remains: The current strategies rely heavily on a huge amount of labeled data. In many real-world problems, it is not feasible to create such an…

Computer Vision and Pattern Recognition · Computer Science 2021-10-14 Lars Schmarje , Monty Santarossa , Simon-Martin Schröder , Reinhard Koch

In this work, a new class of stochastic gradient algorithm is developed based on $q$-calculus. Unlike the existing $q$-LMS algorithm, the proposed approach fully utilizes the concept of $q$-calculus by incorporating time-varying $q$…

Optimization and Control · Mathematics 2018-01-03 Shujaat Khan , Alishba Sadiq , Imran Naseem , Roberto Togneri , Mohammed Bennamoun

Few shot segmentation (FSS) aims to learn pixel-level classification of a target object in a query image using only a few annotated support samples. This is challenging as it requires modeling appearance variations of target objects and the…

Computer Vision and Pattern Recognition · Computer Science 2021-10-19 Soopil Kim , Philip Chikontwe , Sang Hyun Park

We consider statistical inference under a semi-supervised setting where we have access to both a labeled dataset consisting of pairs $\{X_i, Y_i \}_{i=1}^n$ and an unlabeled dataset $\{ X_i \}_{i=n+1}^{n+N}$. We ask the question: under what…

Statistics Theory · Mathematics 2025-03-20 Zichun Xu , Daniela Witten , Ali Shojaie

Semi-supervised learning (SSL) has been a fundamental challenge in machine learning for decades. The primary family of SSL algorithms, known as pseudo-labeling, involves assigning pseudo-labels to confident unlabeled instances and…

Machine Learning · Computer Science 2023-10-31 Muyang Li , Runze Wu , Haoyu Liu , Jun Yu , Xun Yang , Bo Han , Tongliang Liu

Noisy labeled data represent a rich source of information that often are easily accessible and cheap to obtain, but label noise might also have many negative consequences if not accounted for. How to fully utilize noisy labels has been…

Machine Learning · Statistics 2019-02-21 Karl Øyvind Mikalsen , Cristina Soguero-Ruiz , Filippo Maria Bianchi , Robert Jenssen

Semi-supervised learning by self-training heavily relies on pseudo-label selection (PLS). The selection often depends on the initial model fit on labeled data. Early overfitting might thus be propagated to the final model by selecting…

Machine Learning · Statistics 2023-06-27 Julian Rodemann , Jann Goschenhofer , Emilio Dorigatti , Thomas Nagler , Thomas Augustin

This work addresses the task of completely weakly supervised class-incremental learning for semantic segmentation to learn segmentation for both base and additional novel classes using only image-level labels. While class-incremental…

Computer Vision and Pattern Recognition · Computer Science 2025-05-19 David Minkwan Kim , Soeun Lee , Byeongkeun Kang

Support vector machines (SVMs) are an important tool in modern data analysis. Traditionally, support vector machines have been fitted via quadratic programming, either using purpose-built or off-the-shelf algorithms. We present an…

Computation · Statistics 2017-05-15 Hien D. Nguyen , Geoffrey J. McLachlan

Scaled sparse linear regression jointly estimates the regression coefficients and noise level in a linear model. It chooses an equilibrium with a sparse regression method by iteratively estimating the noise level via the mean residual…

Machine Learning · Statistics 2012-06-22 Tingni Sun , Cun-Hui Zhang

The debiased estimator is a crucial tool in statistical inference for high-dimensional model parameters. However, constructing such an estimator involves estimating the high-dimensional inverse Hessian matrix, incurring significant…

Machine Learning · Statistics 2023-12-18 Jiyuan Tu , Weidong Liu , Xiaojun Mao , Mingyue Xu

This work aims to tackle the labor-intensive and resource-consuming task of indoor positioning by proposing an efficient approach. The proposed approach involves the introduction of a semi-supervised learning (SSL) with a biased teacher…

Signal Processing · Electrical Eng. & Systems 2024-08-02 Yupeng Li , Xinyu Ning , Shijian Gao , Yitong Liu , Zhi Sun , Qixing Wang , Jiangzhou Wang

Multi-view learning is widely applied to real-life datasets, such as multiple omics biological data, but it often suffers from both missing views and missing labels. Prior probabilistic approaches addressed the missing view problem by using…

Machine Learning · Computer Science 2025-08-18 Yiyang Shen , Weiran Wang
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