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The k-nearest neighbors (kNN) algorithm is a cornerstone of non-parametric classification in artificial intelligence, yet its deployment in large-scale applications is persistently constrained by the computational trade-off between…

Machine Learning · Computer Science 2026-01-26 Jiaye Li , Gang Chen , Hang Xu , Shichao Zhang

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

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

Autoencoding is a popular method in representation learning. Conventional autoencoders employ symmetric encoding-decoding procedures and a simple Euclidean latent space to detect hidden low-dimensional structures in an unsupervised way.…

Machine Learning · Computer Science 2024-10-07 Stefan C. Schonsheck , Scott Mahan , Timo Klock , Alexander Cloninger , Rongjie Lai

Many regularization schemes for high-dimensional regression have been put forward. Most require the choice of a tuning parameter, using model selection criteria or cross-validation schemes. We show that a simple non-negative or…

Methodology · Statistics 2012-02-07 Nicolai Meinshausen

Semi-supervised learning methods are motivated by the availability of large datasets with unlabeled features in addition to labeled data. Unlabeled data is, however, not guaranteed to improve classification performance and has in fact been…

Machine Learning · Statistics 2019-10-25 Xiuming Liu , Dave Zachariah , Johan Wågberg , Thomas B. Schön

This work studies the computational aspects of multivariate convex regression in dimensions $d \ge 5$. Our results include the \emph{first} estimators that are minimax optimal (up to logarithmic factors) with polynomial runtime in the…

Statistics Theory · Mathematics 2025-12-30 Gil Kur , Eli Putterman

Anomaly detection is being regarded as an unsupervised learning task as anomalies stem from adversarial or unlikely events with unknown distributions. However, the predictive performance of purely unsupervised anomaly detection often fails…

Machine Learning · Computer Science 2014-01-27 Nico Goernitz , Marius Micha Kloft , Konrad Rieck , Ulf Brefeld

Deep neural networks have proven to be highly effective when large amounts of data with clean labels are available. However, their performance degrades when training data contains noisy labels, leading to poor generalization on the test…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Fahimeh Fooladgar , Minh Nguyen Nhat To , Parvin Mousavi , Purang Abolmaesumi

Semiparametric models are useful in econometrics, social sciences and medicine application. In this paper, a new estimator based on least square methods is proposed to estimate the direction of unknown parameters in semi-parametric models.…

Methodology · Statistics 2023-03-10 Jinyue Han , Jun Wang , Wei Gao , Man-Lai Tang

Despite significant advances, the performance of state-of-the-art continual learning approaches hinges on the unrealistic scenario of fully labeled data. In this paper, we tackle this challenge and propose an approach for continual…

Computer Vision and Pattern Recognition · Computer Science 2023-09-12 Zhiqi Kang , Enrico Fini , Moin Nabi , Elisa Ricci , Karteek Alahari

Nonlinear manifold learning from unorganized data points is a very challenging unsupervised learning and data visualization problem with a great variety of applications. In this paper we present a new algorithm for manifold learning and…

Machine Learning · Computer Science 2016-08-31 Zhenyue Zhang , Hongyuan Zha

In this paper we consider the problem of semi-supervised learning with deep Convolutional Neural Networks (ConvNets). Semi-supervised learning is motivated on the observation that unlabeled data is cheap and can be used to improve the…

Computer Vision and Pattern Recognition · Computer Science 2016-06-13 Mehdi Sajjadi , Mehran Javanmardi , Tolga Tasdizen

We consider the problem of recovering an unknown matching between a set of $n$ randomly placed points in $\mathbb{R}^d$ and random perturbations of these points. This can be seen as a model for particle tracking and more generally, entity…

Statistics Theory · Mathematics 2024-03-27 Lucas da Rocha Schwengber , Roberto Imbuzeiro Oliveira

Unsupervised representation learning aims at describing raw data efficiently to solve various downstream tasks. It has been approached with many techniques, such as manifold learning, diffusion maps, or more recently self-supervised…

Machine Learning · Computer Science 2023-06-02 Vivien Cabannes , Alberto Bietti , Randall Balestriero

Due to the growing ubiquity of unlabeled data, learning with unlabeled data is attracting increasing attention in machine learning. In this paper, we propose a novel semi-supervised kernel learning method which can seamlessly combine…

Machine Learning · Computer Science 2012-03-19 Qi Mao , Ivor W. Tsang

We propose a non-parametric anomaly detection algorithm for high dimensional data. We score each datapoint by its average $K$-NN distance, and rank them accordingly. We then train limited complexity models to imitate these scores based on…

Machine Learning · Computer Science 2015-02-09 Jing Qian , Jonathan Root , Venkatesh Saligrama

Semi-weakly supervised semantic segmentation (SWSSS) aims to train a model to identify objects in images based on a small number of images with pixel-level labels, and many more images with only image-level labels. Most existing SWSSS…

Computer Vision and Pattern Recognition · Computer Science 2022-05-04 Wonho Bae , Junhyug Noh , Milad Jalali Asadabadi , Danica J. Sutherland

This paper proposes a mesh-free computational framework and machine learning theory for solving elliptic PDEs on unknown manifolds, identified with point clouds, based on diffusion maps (DM) and deep learning. The PDE solver is formulated…

Numerical Analysis · Mathematics 2024-02-28 Senwei Liang , Shixiao W. Jiang , John Harlim , Haizhao Yang

Image recognition is an important topic in computer vision and image processing, and has been mainly addressed by supervised deep learning methods, which need a large set of labeled images to achieve promising performance. However, in most…

Computer Vision and Pattern Recognition · Computer Science 2019-08-13 Haoqian Wang , Zhiwei Xu , Jun Xu , Wangpeng An , Lei Zhang , Qionghai Dai