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Softening labels of training datasets with respect to data representations has been frequently used to improve the training of deep neural networks (DNNs). While such a practice has been studied as a way to leverage privileged information…

机器学习 · 计算机科学 2020-04-28 Xingjian Li , Haoyi Xiong , Haozhe An , Dejing Dou , Chengzhong Xu

Real-world vector embeddings are usually associated with extra labels, such as attributes and keywords. Many applications require the nearest neighbor search that contains specific labels, such as searching for product image embeddings…

数据库 · 计算机科学 2025-12-12 Mingyu Yang , Wenxuan Xia , Wentao Li , Raymond Chi-Wing Wong , Wei Wang

In this paper, we establish hardness and approximation results for various $L_p$-ball constrained homogeneous polynomial optimization problems, where $p \in [2,\infty]$. Specifically, we prove that for any given $d \ge 3$ and $p \in…

最优化与控制 · 数学 2012-11-01 Ke Hou , Anthony Man-Cho So

In this paper we obtain improved iteration complexities for solving $\ell_p$ regression. We provide methods which given any full-rank $\mathbf{A} \in \mathbb{R}^{n \times d}$ with $n \geq d$, $b \in \mathbb{R}^n$, and $p \geq 2$ solve…

数据结构与算法 · 计算机科学 2021-11-11 Arun Jambulapati , Yang P. Liu , Aaron Sidford

Many modern applications deal with multi-label data, such as functional categorizations of genes, image labeling and text categorization. Classification of such data with a large number of labels and latent dependencies among them is a…

机器学习 · 计算机科学 2018-04-05 Zahra Ahmadi , Stefan Kramer

We consider multi-label prediction problems with large output spaces under the assumption of output sparsity -- that the target (label) vectors have small support. We develop a general theory for a variant of the popular error correcting…

机器学习 · 计算机科学 2009-06-02 Daniel Hsu , Sham M. Kakade , John Langford , Tong Zhang

We consider the problem of estimating the conditional probability of a label in time O(log n), where n is the number of possible labels. We analyze a natural reduction of this problem to a set of binary regression problems organized in a…

机器学习 · 计算机科学 2014-08-12 Alina Beygelzimer , John Langford , Yuri Lifshits , Gregory Sorkin , Alexander L. Strehl

The use of realistic input models has gained popularity in the theory community. Assuming a realistic input model often precludes complicated hypothetical inputs, and the analysis yields bounds that better reflect the behaviour of…

计算几何 · 计算机科学 2022-11-15 Joachim Gudmundsson , Zijin Huang , Sampson Wong

We consider the problem of estimating the conditional probability of a label in time $O(\log n)$, where $n$ is the number of possible labels. We analyze a natural reduction of this problem to a set of binary regression problems organized in…

机器学习 · 计算机科学 2009-06-04 Alina Beygelzimer , John Langford , Yuri Lifshits , Gregory Sorkin , Alex Strehl

Is it possible to perform linear regression on datasets whose labels are shuffled with respect to the inputs? We explore this question by proposing several estimators that recover the weights of a noisy linear model from labels that are…

机器学习 · 统计学 2017-05-05 Abubakar Abid , Ada Poon , James Zou

We obtain hardness of approximation results for the $\ell_p$-Shortest Path problem, a variant of the classic Shortest Path problem with vector costs. For every integer $p \in [2,\infty)$, we show a hardness of $\Omega(p(\log n / \log^2\log…

数据结构与算法 · 计算机科学 2025-10-27 Charlie Carlson , Yury Makarychev , Ron Mosenzon

We address the problem of active logistic regression in the realizable setting. It is well known that active learning can require exponentially fewer label queries compared to passive learning, in some cases using $\log \frac{1}{\eps}$…

机器学习 · 计算机科学 2025-04-21 Yihan Zhou , Eric Price , Trung Nguyen

Extreme multi-label classification (XMC) aims to learn a model that can tag data points with a subset of relevant labels from an extremely large label set. Real world e-commerce applications like personalized recommendations and product…

机器学习 · 计算机科学 2021-09-23 Tavor Z. Baharav , Daniel L. Jiang , Kedarnath Kolluri , Sujay Sanghavi , Inderjit S. Dhillon

Deep extreme classification (XC) seeks to train deep architectures that can tag a data point with its most relevant subset of labels from an extremely large label set. The core utility of XC comes from predicting labels that are rarely seen…

计算与语言 · 计算机科学 2021-08-03 Anshul Mittal , Noveen Sachdeva , Sheshansh Agrawal , Sumeet Agarwal , Purushottam Kar , Manik Varma

Graph Neural Networks (GNNs) have been widely employed for semi-supervised node classification tasks on graphs. However, the performance of GNNs is significantly affected by label noise, that is, a small amount of incorrectly labeled nodes…

机器学习 · 计算机科学 2024-11-19 Rui Zhao , Bin Shi , Zhiming Liang , Jianfei Ruan , Bo Dong , Lu Lin

Enforcing universal symmetries in machine learning (ML) models is a common strategy to mitigate data scarcity. We show that exploiting exact, as well as approximate, label symmetries can benefit scaling laws. We illustrate the idea for the…

化学物理 · 物理学 2026-05-28 Scott Y. H. Kim , Mathis Lechaume-Robert , O. Anatole von Lilienfeld

Generating confidence calibrated outputs is of utmost importance for the applications of deep neural networks in safety-critical decision-making systems. The output of a neural network is a probability distribution where the scores are…

机器学习 · 计算机科学 2021-09-17 Chihuang Liu , Joseph JaJa

Label noise poses an important challenge in machine learning, especially in deep learning, in which large models with high expressive power dominate the field. Models of that kind are prone to memorizing incorrect labels, thereby harming…

机器学习 · 计算机科学 2024-01-26 Julian Lienen , Eyke Hüllermeier

We resolve an open question from (Christiano, 2014b) posed in COLT'14 regarding the optimal dependency of the regret achievable for online local learning on the size of the label set. In this framework the algorithm is shown a pair of items…

机器学习 · 计算机科学 2015-08-25 Pranjal Awasthi , Moses Charikar , Kevin A. Lai , Andrej Risteski

Improper or erroneous labelling can pose a hindrance to reliable generalization for supervised learning. This can have negative consequences, especially for critical fields such as healthcare. We propose an effective new approach for…

机器学习 · 计算机科学 2021-11-16 Konstantinos Nikolaidis , Thomas Plagemann , Stein Kristiansen , Vera Goebel , Mohan Kankanhalli