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In this paper, we obtain results about the positive definiteness, the continuity and the level-boundedness of two optimal value functions of specific parametric optimization problems. Those two optimization problems are generalizations of…

Optimization and Control · Mathematics 2024-08-27 Assalé Adjé

We consider the problem of learning a binary classifier from a training set of positive and unlabeled examples, both in the inductive and in the transductive setting. This problem, often referred to as \emph{PU learning}, differs from the…

Machine Learning · Statistics 2010-10-06 Fantine Mordelet , Jean-Philippe Vert

Optimization of complex functions, such as the output of computer simulators, is a difficult task that has received much attention in the literature. A less studied problem is that of optimization under unknown constraints, i.e., when the…

Methodology · Statistics 2010-07-06 Robert B. Gramacy , Herbert K. H. Lee

Semi-supervised learning deals with the problem of how, if possible, to take advantage of a huge amount of unclassified data, to perform a classification in situations when, typically, there is little labeled data. Even though this is not…

Machine Learning · Statistics 2020-12-11 Alejandro Cholaquidis , Ricardo Fraiman , Mariela Sued

In the continual learning setting, tasks are encountered sequentially. The goal is to learn whilst i) avoiding catastrophic forgetting, ii) efficiently using model capacity, and iii) employing forward and backward transfer learning. In this…

Machine Learning · Statistics 2019-05-07 Siddharth Swaroop , Cuong V. Nguyen , Thang D. Bui , Richard E. Turner

Estimating the dependences between random variables, and ranking them accordingly, is a prevalent problem in machine learning. Pursuing frequentist and information-theoretic approaches, we first show that the p-value and the mutual…

Machine Learning · Computer Science 2012-07-02 Harald Steck

In unsupervised ensemble learning, one obtains predictions from multiple sources or classifiers, yet without knowing the reliability and expertise of each source, and with no labeled data to assess it. The task is to combine these possibly…

Machine Learning · Computer Science 2016-02-24 Ariel Jaffe , Ethan Fetaya , Boaz Nadler , Tingting Jiang , Yuval Kluger

We focus on an unloading problem, typical of the logistics sector, modeled as a sequential pick-and-place task. In this type of task, modern machine learning techniques have shown to work better than classic systems since they are more…

Robotics · Computer Science 2023-05-30 Vittorio Giammarino , Andrew J Meyer , Kai Biegun

Contrastive representation learning has gained much attention due to its superior performance in learning representations from both image and sequential data. However, the learned representations could potentially lead to performance…

Computation and Language · Computer Science 2022-11-01 Jianfeng Chi , William Shand , Yaodong Yu , Kai-Wei Chang , Han Zhao , Yuan Tian

Modern applications and progress in deep learning research have created renewed interest for generative models of text and of images. However, even today it is unclear what objective functions one should use to train and evaluate these…

Machine Learning · Statistics 2015-11-17 Ferenc Huszár

The vast majority of statistical theory on binary classification characterizes performance in terms of accuracy. However, accuracy is known in many cases to poorly reflect the practical consequences of classification error, most famously in…

Statistics Theory · Mathematics 2022-09-27 Shashank Singh , Justin Khim

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

Conditioning analysis uncovers the landscape of an optimization objective by exploring the spectrum of its curvature matrix. This has been well explored theoretically for linear models. We extend this analysis to deep neural networks (DNNs)…

Computer Vision and Pattern Recognition · Computer Science 2020-07-30 Lei Huang , Jie Qin , Li Liu , Fan Zhu , Ling Shao

Multiple instance data are sets or multi-sets of unordered elements. Using metrics or distances for sets, we propose an approach to several multiple instance learning tasks, such as clustering (unsupervised learning), classification…

Machine Learning · Computer Science 2017-03-28 Quang N. Tran , Ba-Ngu Vo , Dinh Phung , Ba-Tuong Vo , Thuong Nguyen

Maximizing long-term rewards is the primary goal in sequential decision-making problems. The majority of existing methods assume that side information is freely available, enabling the learning agent to observe all features' states before…

Machine Learning · Computer Science 2023-07-19 Saeed Ghoorchian , Evgenii Kortukov , Setareh Maghsudi

Optimization problems with an auxiliary latent variable structure in addition to the main model parameters occur frequently in computer vision and machine learning. The additional latent variables make the underlying optimization task…

Machine Learning · Computer Science 2020-03-13 Christopher Zach , Huu Le

We investigate the problem of classification in the presence of unknown class-conditional label noise in which the labels observed by the learner have been corrupted with some unknown class dependent probability. In order to obtain finite…

Machine Learning · Statistics 2019-06-11 Henry W J Reeve , Ata Kaban

Variance reduction is a family of powerful mechanisms for stochastic optimization that appears to be helpful in many machine learning tasks. It is based on estimating the exact gradient with some recursive sequences. Previously, many papers…

Optimization and Control · Mathematics 2025-11-07 Aleksandr Shestakov , Valery Parfenov , Aleksandr Beznosikov

The off-policy learning paradigm allows for recommender systems and general ranking applications to be framed as decision-making problems, where we aim to learn decision policies that optimize an unbiased offline estimate of an online…

Machine Learning · Computer Science 2024-08-15 Shashank Gupta , Olivier Jeunen , Harrie Oosterhuis , Maarten de Rijke

The problem of statistical learning is to construct a predictor of a random variable $Y$ as a function of a related random variable $X$ on the basis of an i.i.d. training sample from the joint distribution of $(X,Y)$. Allowable predictors…

Information Theory · Computer Science 2016-11-15 Maxim Raginsky
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