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Linear Autoencoders (LAEs) have shown strong performance in state-of-the-art recommender systems. However, this success remains largely empirical, with limited theoretical understanding. In this paper, we investigate the generalizability --…

Machine Learning · Statistics 2025-12-16 Ruixin Guo , Ruoming Jin , Xinyu Li , Yang Zhou

In this paper, two new classes of lower bounds on the probability of error for $m$-ary hypothesis testing are proposed. Computation of the minimum probability of error which is attained by the maximum a-posteriori probability (MAP)…

Information Theory · Computer Science 2015-03-17 Tirza Routtenberg , Joseph Tabrikian

This paper is mainly concerned with the question of how to decompose multiclass classification problems into binary subproblems. We extend known Jensen-Shannon bounds on the Bayes risk of binary problems to hierarchical multiclass problems…

Artificial Intelligence · Computer Science 2010-10-12 Ran El-Yaniv , Noam Etzion-Rosenberg

Binary relevance is a simple approach to solve multi-label learning problems where an independent binary classifier is built per each label. A common challenge with this in real-world applications is that the label space can be very large,…

Information Retrieval · Computer Science 2019-05-29 Dora Jambor , Peng Yu

Even with the luxury of having abundant data, multi-label classification is widely known to be a challenging task to address. This work targets the problem of multi-label meta-learning, where a model learns to predict multiple labels within…

Computer Vision and Pattern Recognition · Computer Science 2021-10-27 Christian Simon , Piotr Koniusz , Mehrtash Harandi

We introduce a modified version of the excess risk, which can be used to obtain tighter, fast-rate PAC-Bayesian generalisation bounds. This modified excess risk leverages information about the relative hardness of data examples to reduce…

Machine Learning · Computer Science 2023-01-25 Felix Biggs , Benjamin Guedj

We investigate probabilistic decoupling of labels supplied for training, from the underlying classes for prediction. Decoupling enables an inference scheme general enough to implement many classification problems, including supervised,…

Machine Learning · Computer Science 2019-05-30 Jeppe Nørregaard , Lars Kai Hansen

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 high-dimensional multiclass classification by sparse multinomial logistic regression. Unlike binary classification, in the multiclass setup one can think about an entire spectrum of possible notions of sparsity associated with…

Statistics Theory · Mathematics 2023-01-18 Tomer Levy , Felix Abramovich

Multilabel classification is an emergent data mining task with a broad range of real world applications. Learning from imbalanced multilabel data is being deeply studied latterly, and several resampling methods have been proposed in the…

Machine Learning · Computer Science 2018-02-15 Francisco Charte , Antonio J. Rivera , María J. del Jesus , Francisco Herrera

In this paper, we study data-dependent generalization error bounds exhibiting a mild dependency on the number of classes, making them suitable for multi-class learning with a large number of label classes. The bounds generally hold for…

Machine Learning · Computer Science 2018-01-01 Yunwen Lei , Urun Dogan , Ding-Xuan Zhou , Marius Kloft

We are motivated by the problem of providing strong generalization guarantees in the context of meta-learning. Existing generalization bounds are either challenging to evaluate or provide vacuous guarantees in even relatively simple…

Machine Learning · Computer Science 2021-10-27 Alec Farid , Anirudha Majumdar

Complementary-label learning is a weakly supervised learning problem in which each training example is associated with one or multiple complementary labels indicating the classes to which it does not belong. Existing consistent approaches…

Machine Learning · Computer Science 2024-10-14 Wei Wang , Takashi Ishida , Yu-Jie Zhang , Gang Niu , Masashi Sugiyama

We study the issue of PAC-Bayesian domain adaptation: We want to learn, from a source domain, a majority vote model dedicated to a target one. Our theoretical contribution brings a new perspective by deriving an upper-bound on the target…

Machine Learning · Statistics 2016-07-27 Pascal Germain , Amaury Habrard , François Laviolette , Emilie Morvant

Prior knowledge and symbolic rules in machine learning are often expressed in the form of label constraints, especially in structured prediction problems. In this work, we compare two common strategies for encoding label constraints in a…

Machine Learning · Computer Science 2023-07-11 Kaifu Wang , Hangfeng He , Tin D. Nguyen , Piyush Kumar , Dan Roth

In the context of supervised learning, meta learning uses features, metadata and other information to learn about the difficulty, behavior, or composition of the problem. Using this knowledge can be useful to contextualize classifier…

Information Theory · Computer Science 2020-04-28 Salimeh Yasaei Sekeh , Brandon Oselio , Alfred O. Hero

Multiclass neural networks are a common tool in modern unsupervised domain adaptation, yet an appropriate theoretical description for their non-uniform sample complexity is lacking in the adaptation literature. To fill this gap, we propose…

Machine Learning · Computer Science 2022-07-13 Anthony Sicilia , Katherine Atwell , Malihe Alikhani , Seong Jae Hwang

The increasing use of deep learning across various domains highlights the importance of understanding the decision-making processes of these black-box models. Recent research focusing on the decision boundaries of deep classifiers, relies…

Machine Learning · Computer Science 2024-08-13 Inês Gomes , Luís F. Teixeira , Jan N. van Rijn , Carlos Soares , André Restivo , Luís Cunha , Moisés Santos

Most positive and unlabeled data is subject to selection biases. The labeled examples can, for example, be selected from the positive set because they are easier to obtain or more obviously positive. This paper investigates how learning can…

Machine Learning · Computer Science 2019-07-01 Jessa Bekker , Pieter Robberechts , Jesse Davis

Multi-label classification is a common supervised machine learning problem where each instance is associated with multiple classes. The key challenge in this problem is learning the correlations between the classes. An additional challenge…

Machine Learning · Computer Science 2016-04-05 Divya Padmanabhan , Satyanath Bhat , Shirish Shevade , Y. Narahari
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