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For many applications, an ensemble of base classifiers is an effective solution. The tuning of its parameters(number of classes, amount of data on which each classifier is to be trained on, etc.) requires G, the generalization error of a…

The goal of regression and classification methods in supervised learning is to minimize the empirical risk, that is, the expectation of some loss function quantifying the prediction error under the empirical distribution. When facing scarce…

Optimization and Control · Mathematics 2019-07-15 Soroosh Shafieezadeh-Abadeh , Daniel Kuhn , Peyman Mohajerin Esfahani

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

The goal of machine learning is to find models that minimize prediction error on data that has not yet been seen. Its operational paradigm assumes access to a dataset $S$ and articulates a scheme for evaluating how well a given model…

Machine Learning · Computer Science 2026-04-22 Maxim Raginsky , Benjamin Recht

Some of the tightest information-theoretic generalization bounds depend on the average information between the learned hypothesis and a single training example. However, these sample-wise bounds were derived only for expected generalization…

Machine Learning · Computer Science 2022-12-14 Hrayr Harutyunyan , Greg Ver Steeg , Aram Galstyan

The purpose of training neural networks is to achieve high generalization performance on unseen inputs. However, when trained on imbalanced datasets, a model's prediction tends to favor majority classes over minority classes, leading to…

Computer Vision and Pattern Recognition · Computer Science 2025-08-27 Hiroaki Aizawa , Yuta Naito , Kohei Fukuda

For Internet applications like sponsored search, cautions need to be taken when using machine learning to optimize their mechanisms (e.g., auction) since self-interested agents in these applications may change their behaviors (and thus the…

Machine Learning · Computer Science 2014-10-14 Haifang Li , Fei Tian , Wei Chen , Tao Qin , Tie-Yan Liu

Multimodal learning leverages the integration of diverse data modalities to enhance performance in complex tasks. Yet, it frequently encounters incomplete or redundant modality data in real-world scenarios. This paper presents a…

Machine Learning · Computer Science 2026-05-05 Richeng Zhou , Xuelin Zhang , Liyuan Liu

Generalization beyond a training dataset is a main goal of machine learning, but theoretical understanding of generalization remains an open problem for many models. The need for a new theory is exacerbated by recent observations in deep…

Machine Learning · Statistics 2022-02-08 Abdulkadir Canatar , Blake Bordelon , Cengiz Pehlevan

Machine learning (ML) formalizes the problem of getting computers to learn from experience as optimization of performance according to some metric(s) on a set of data examples. This is in contrast to requiring behaviour specified in advance…

Machine Learning · Computer Science 2022-10-19 Tegan Maharaj

Domain generalization is the problem of machine learning when the training data and the test data come from different data domains. We present a simple theoretical model of learning to generalize across domains in which there is a…

Machine Learning · Computer Science 2020-02-14 Vikas K. Garg , Adam Kalai , Katrina Ligett , Zhiwei Steven Wu

A recently-proposed technique called self-adaptive training augments modern neural networks by allowing them to adjust training labels on the fly, to avoid overfitting to samples that may be mislabeled or otherwise non-representative. By…

Machine Learning · Computer Science 2020-06-16 Daniel Chiu , Franklyn Wang , Scott Duke Kominers

The success of large generative models has driven a paradigm shift, leveraging massive multi-source data to enhance model capabilities. However, the interaction among these sources remains theoretically underexplored. This paper takes the…

Machine Learning · Computer Science 2025-07-09 Rongzhen Wang , Yan Zhang , Chenyu Zheng , Chongxuan Li , Guoqiang Wu

In this work, we propose a PAC-Bayes bound for the generalization risk of the Gibbs classifier in the multi-class classification framework. The novelty of our work is the critical use of the confusion matrix of a classifier as an error…

Machine Learning · Statistics 2013-10-23 Emilie Morvant , Sokol Koço , Liva Ralaivola

Continual learning (CL) is concerned with learning multiple tasks sequentially without forgetting previously learned tasks. Despite substantial empirical advances over recent years, the theoretical development of CL remains in its infancy.…

Machine Learning · Computer Science 2026-04-27 Liangzu Peng , Uday Kiran Reddy Tadipatri , Ziqing Xu , Eric Eaton , René Vidal

Despite substantial progress in promoting fairness in high-stake applications using machine learning models, existing methods often modify the training process, such as through regularizers or other interventions, but lack formal guarantees…

Machine Learning · Computer Science 2025-06-10 Firas Laakom , Haobo Chen , Jürgen Schmidhuber , Yuheng Bu

We propose a new method for learning with multi-field categorical data. Multi-field categorical data are usually collected over many heterogeneous groups. These groups can reflect in the categories under a field. The existing methods try to…

Machine Learning · Computer Science 2020-12-02 Zhibin Li , Jian Zhang , Yongshun Gong , Yazhou Yao , Qiang Wu

Recently, metric learning and similarity learning have attracted a large amount of interest. Many models and optimisation algorithms have been proposed. However, there is relatively little work on the generalization analysis of such…

Machine Learning · Computer Science 2013-03-19 Qiong Cao , Zheng-Chu Guo , Yiming Ying

Due to the inherent imbalance in real-world datasets, na\"ive Empirical Risk Minimization (ERM) tends to bias the learning process towards the majority classes, hindering generalization to minority classes. To rebalance the learning…

Machine Learning · Computer Science 2025-12-09 Zitai Wang , Qianqian Xu , Zhiyong Yang , Zhikang Xu , Linchao Zhang , Xiaochun Cao , Qingming Huang

Learning an appropriate (dis)similarity function from the available data is a central problem in machine learning, since the success of many machine learning algorithms critically depends on the choice of a similarity function to compare…

Machine Learning · Computer Science 2013-08-30 Zheng-Chu Guo , Yiming Ying