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Here we study the problem of learning labels for large text corpora where each text can be assigned a variable number of labels. The problem might seem trivial when the label dimensionality is small and can be easily solved using a series…

Machine Learning · Computer Science 2016-11-02 Sayantan Dasgupta

The "Curse of dimensionality" is prevalent across various data patterns, which increases the risk of model overfitting and leads to a decline in model classification performance. However, few studies have focused on this issue in Partial…

Machine Learning · Computer Science 2025-06-06 Wanfu Gao , Hanlin Pan , Qingqi Han , Kunpeng Liu

Higher-order tensors can represent scores in a rating system, frames in a video, and images of the same subject. In practice, the measurements are often highly quantized due to the sampling strategies or the quality of devices. Existing…

Machine Learning · Computer Science 2020-10-28 Ren Wang , Meng Wang , Jinjun Xiong

The diversity of deep learning applications, datasets, and neural network architectures necessitates a careful selection of the architecture and data that match best to a target application. As an attempt to mitigate this dilemma, this…

Machine Learning · Computer Science 2021-10-22 Amin Banitalebi-Dehkordi , Xinyu Kang , Yong Zhang

Recently, label consistent k-svd (LC-KSVD) algorithm has been successfully applied in image classification. The objective function of LC-KSVD is consisted of reconstruction error, classification error and discriminative sparse codes error…

Computer Vision and Pattern Recognition · Computer Science 2019-04-18 Shuai Shao , Yan-Jiang Wang , Bao-Di Liu , Weifeng Liu , Rui Xu

This paper introduces a general multi-class approach to weakly supervised classification. Inferring the labels and learning the parameters of the model is usually done jointly through a block-coordinate descent algorithm such as…

Machine Learning · Computer Science 2012-07-03 Armand Joulin , Francis Bach

Estimation of low-rank matrices is of significant interest in a range of contemporary applications. In this paper, we introduce a rank-one projection model for low-rank matrix recovery and propose a constrained nuclear norm minimization…

Statistics Theory · Mathematics 2014-12-10 T. Tony Cai , Anru Zhang

Gradient inversion attacks aim to reconstruct local training data from intermediate gradients exposed in the federated learning framework. Despite successful attacks, all previous methods, starting from reconstructing a single data point…

Cryptography and Security · Computer Science 2024-04-16 Yanbo Wang , Jian Liang , Ran He

This paper presents one-bit supervision, a novel setting of learning with fewer labels, for image classification. Instead of training model using the accurate label of each sample, our setting requires the model to interact with the system…

Computer Vision and Pattern Recognition · Computer Science 2023-11-28 Hengtong Hu , Lingxi Xie , Xinyue Hue , Richang Hong , Qi Tian

The topic of recovery of a structured model given a small number of linear observations has been well-studied in recent years. Examples include recovering sparse or group-sparse vectors, low-rank matrices, and the sum of sparse and low-rank…

Information Theory · Computer Science 2014-07-28 Samet Oymak , Amin Jalali , Maryam Fazel , Yonina C. Eldar , Babak Hassibi

PhaseLift, proposed by E.J. Cand\`{e}s et al., is one convex relaxation approach for phase retrieval. The relaxation enlarges the solution set from rank one matrices to positive semidefinite matrices. In this paper, a relaxation is employed…

Optimization and Control · Mathematics 2014-05-08 Pengwen Chen , Hung Hung

A weakly-supervised learning framework named as complementary-label learning has been proposed recently, where each sample is equipped with a single complementary label that denotes one of the classes the sample does not belong to. However,…

Machine Learning · Statistics 2020-07-24 Yuzhou Cao , Shuqi Liu , Yitian Xu

We propose a meta-learning method for semi-supervised learning that learns from multiple tasks with heterogeneous attribute spaces. The existing semi-supervised meta-learning methods assume that all tasks share the same attribute space,…

Machine Learning · Computer Science 2023-11-10 Tomoharu Iwata , Atsutoshi Kumagai

Deep ConvNets have shown great performance for single-label image classification (e.g. ImageNet), but it is necessary to move beyond the single-label classification task because pictures of everyday life are inherently multi-label.…

Computer Vision and Pattern Recognition · Computer Science 2019-02-27 Thibaut Durand , Nazanin Mehrasa , Greg Mori

Top-k error is currently a popular performance measure on large scale image classification benchmarks such as ImageNet and Places. Despite its wide acceptance, our understanding of this metric is limited as most of the previous research is…

Computer Vision and Pattern Recognition · Computer Science 2016-12-19 Maksim Lapin , Matthias Hein , Bernt Schiele

We study an estimator with a convex formulation for recovery of low-rank matrices from rank-one projections. Using initial estimates of the factors of the target $d_1\times d_2$ matrix of rank-$r$, the estimator admits a practical…

Statistics Theory · Mathematics 2021-01-12 Sohail Bahmani , Kiryung Lee

We study the problem of approximately recovering signals on a manifold from one-bit linear measurements drawn from either a Gaussian ensemble, partial circulant ensemble, or bounded orthonormal ensemble and quantized using Sigma-Delta or…

Information Theory · Computer Science 2019-04-25 Mark Iwen , Eric Lybrand , Aaron Nelson , Rayan Saab

Convex relaxations of nonconvex multilabel problems have been demonstrated to produce superior (provably optimal or near-optimal) solutions to a variety of classical computer vision problems. Yet, they are of limited practical use as they…

Computer Vision and Pattern Recognition · Computer Science 2016-10-11 Emanuel Laude , Thomas Möllenhoff , Michael Moeller , Jan Lellmann , Daniel Cremers

Supervised learning of deep neural networks heavily relies on large-scale datasets annotated by high-quality labels. In contrast, mislabeled samples can significantly degrade the generalization of models and result in memorizing samples,…

Computer Vision and Pattern Recognition · Computer Science 2023-07-11 Tsung-Ming Tai , Yun-Jie Jhang , Wen-Jyi Hwang

Many modern multiclass and multilabel problems are characterized by increasingly large output spaces. For these problems, label embeddings have been shown to be a useful primitive that can improve computational and statistical efficiency.…

Machine Learning · Computer Science 2015-07-07 Paul Mineiro , Nikos Karampatziakis