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Least squares (LS) fitting is one of the most fundamental techniques in science and engineering. It is used to estimate parameters from multiple noisy observations. In many problems the parameters are known a-priori to be bounded integer…

Information Theory · Computer Science 2009-01-05 Amir Leshem , Jacob Goldberger

A low-rank transformation learning framework for subspace clustering and classification is here proposed. Many high-dimensional data, such as face images and motion sequences, approximately lie in a union of low-dimensional subspaces. The…

Computer Vision and Pattern Recognition · Computer Science 2014-03-11 Qiang Qiu , Guillermo Sapiro

Few-shot learning (FSL) techniques seek to learn the underlying patterns in data using fewer samples, analogous to how humans learn from limited experience. In this limited-data scenario, the challenges associated with deep neural networks,…

Computer Vision and Pattern Recognition · Computer Science 2023-04-14 Deepan Chakravarthi Padmanabhan , Shruthi Gowda , Elahe Arani , Bahram Zonooz

The method of ``Total Least Squares'' is proposed as a more natural way (than ordinary least squares) to approximate the data if both the matrix and and the right-hand side are contaminated by ``errors''. In this tutorial note, we give a…

Rings and Algebras · Mathematics 2025-10-20 P. P. N. de Groen

Low-rank Multi-view Subspace Learning (LMvSL) has shown great potential in cross-view classification in recent years. Despite their empirical success, existing LMvSL based methods are incapable of well handling view discrepancy and…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Jiamiao Xu , Fangzhao Wang , Qinmu Peng , Xinge You , Shuo Wang , Xiao-Yuan Jing , C. L. Philip Chen

Shuffled linear regression (SLR) seeks to estimate latent features through a linear transformation, complicated by unknown permutations in the measurement dimensions. This problem extends traditional least-squares (LS) and Least Absolute…

Statistics Theory · Mathematics 2025-04-17 Hang Liu , Anna Scaglione

Insufficient prior knowledge of a captured hyperspectral image (HSI) scene may lead the experts or the automatic labeling systems to offer incorrect labels or ambiguous labels (i.e., assigning each training sample to a group of candidate…

Computer Vision and Pattern Recognition · Computer Science 2024-05-28 Shujun Yang , Yu Zhang , Yao Ding , Danfeng Hong

Low-rank tensor representation (LRTR) has emerged as a powerful tool for multi-dimensional data processing. However, classical LRTR-based methods face two critical limitations: (1) they typically assume that the holistic data is low-rank,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-21 Zhizhou Wang , Jianli Wang , Ruijing Zheng , Zhenyu Wu

This work proposes a new image analysis tool called Label Consistent Transform Learning (LCTL). Transform learning is a recent unsupervised representation learning approach; we add supervision by incorporating a label consistency…

Image and Video Processing · Electrical Eng. & Systems 2019-12-25 Jyoti Maggu , Hemant K. Aggarwal , Angshul Majumdar

Stereo matching in minimally invasive surgery (MIS) is essential for next-generation navigation and augmented reality. Yet, dense disparity supervision is nearly impossible due to anatomical constraints, typically limiting annotations to…

Computer Vision and Pattern Recognition · Computer Science 2025-11-13 Rui Wang , Ying Zhou , Hao Wang , Wenwei Zhang , Qiang Li , Zhiwei Wang

Partial least squares regression (PLSR) has been a popular technique to explore the linear relationship between two datasets. However, most of algorithm implementations of PLSR may only achieve a suboptimal solution through an optimization…

Computer Vision and Pattern Recognition · Computer Science 2016-09-22 Haoran Chen , Yanfeng Sun , Junbin Gao , Yongli Hu , Baocai Yin

Machine Learning (ML) techniques for image classification routinely require many labelled images for training the model and while testing, we ought to use images belonging to the same domain as those used for training. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2020-11-19 Preeti Jagdish Sajjan , Frank G. Glavin

Semi-supervised learning (SSL) is an important theme in machine learning, in which we have a few labeled samples and many unlabeled samples. In this paper, for SSL in a regression problem, we consider a method of incorporating information…

Machine Learning · Computer Science 2024-11-20 Katsuyuki Hagiwara

Semi-Supervised Learning (SSL) is a framework that utilizes both labeled and unlabeled data to enhance model performance. Conventional SSL methods operate under the assumption that labeled and unlabeled data share the same label space.…

Computer Vision and Pattern Recognition · Computer Science 2023-11-16 Noam Fluss , Guy Hacohen , Daphna Weinshall

Long-Tailed Semi-Supervised Learning (LTSSL) aims to learn from class-imbalanced data where only a few samples are annotated. Existing solutions typically require substantial cost to solve complex optimization problems, or class-balanced…

Machine Learning · Computer Science 2022-05-27 Tong Wei , Qian-Yu Liu , Jiang-Xin Shi , Wei-Wei Tu , Lan-Zhe Guo

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

Few-shot classification of hyperspectral images (HSI) faces the challenge of scarce labeled samples. Self-Supervised learning (SSL) and Few-Shot Learning (FSL) offer promising avenues to address this issue. However, existing methods often…

Computer Vision and Pattern Recognition · Computer Science 2025-05-21 Wenchen Chen , Yanmei Zhang , Zhongwei Xiao , Jianping Chu , Xingbo Wang

We present Label Space Reduction (LSR), a novel method for improving zero-shot classification performance of Large Language Models (LLMs). LSR iteratively refines the classification label space by systematically ranking and reducing…

Computation and Language · Computer Science 2025-11-06 Nathan Vandemoortele , Bram Steenwinckel , Femke Ongenae , Sofie Van Hoecke

The field of Few-Shot Learning (FSL), or learning from very few (typically $1$ or $5$) examples per novel class (unseen during training), has received a lot of attention and significant performance advances in the recent literature. While…

Computer Vision and Pattern Recognition · Computer Science 2020-03-17 Moshe Lichtenstein , Prasanna Sattigeri , Rogerio Feris , Raja Giryes , Leonid Karlinsky

Given new tasks with very little data$-$such as new classes in a classification problem or a domain shift in the input$-$performance of modern vision systems degrades remarkably quickly. In this work, we illustrate how the neural network…

Computer Vision and Pattern Recognition · Computer Science 2021-02-18 Carl Doersch , Ankush Gupta , Andrew Zisserman