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The multi-index model is a simple yet powerful high-dimensional regression model which circumvents the curse of dimensionality assuming $ \mathbb{E} [ Y | X ] = g(A^\top X) $ for some unknown index space $A$ and link function $g$. In this…

Statistics Theory · Mathematics 2020-06-04 Timo Klock , Alessandro Lanteri , Stefano Vigogna

Despite tremendous advancements of machine learning models and algorithms in various application domains, they are known to be vulnerable to subtle, natural or intentionally crafted perturbations in future input data, known as adversarial…

Machine Learning · Statistics 2025-06-03 Jingfu Peng , Yuhong Yang

This paper tackles the problem of semi-supervised learning when the set of labeled samples is limited to a small number of images per class, typically less than 10, problem that we refer to as barely-supervised learning. We analyze in depth…

Computer Vision and Pattern Recognition · Computer Science 2021-12-23 Thomas Lucas , Philippe Weinzaepfel , Gregory Rogez

Only parts of unlabeled data are selected to train models for most semi-supervised learning methods, whose confidence scores are usually higher than the pre-defined threshold (i.e., the confidence margin). We argue that the recognition…

Computer Vision and Pattern Recognition · Computer Science 2022-03-25 Hangyu Li , Nannan Wang , Xi Yang , Xiaoyu Wang , Xinbo Gao

Majority-vote ensembles achieve variance reduction by averaging over diverse, approximately independent base learners. When training data exhibits Markov dependence, as in time-series forecasting, reinforcement learning (RL) replay buffers,…

Machine Learning · Computer Science 2026-04-16 Ibne Farabi Shihab , Sanjeda Akter , Anuj Sharma

Semi-supervised classification is an interesting idea where classification models are learned from both labeled and unlabeled data. It has several advantages over supervised classification in natural language processing domain. For…

Computation and Language · Computer Science 2014-09-29 Rushdi Shams

Deep generative models (DGMs) are effective on learning multilayered representations of complex data and performing inference of input data by exploring the generative ability. However, it is relatively insufficient to empower the…

Computer Vision and Pattern Recognition · Computer Science 2016-11-23 Chongxuan Li , Jun Zhu , Bo Zhang

Supervised learning with large-scale data usually leads to complex optimization problems, especially for classification tasks with multiple classes. Stochastic subgradient methods can enable efficient learning with a large number of samples…

Machine Learning · Computer Science 2025-11-25 Kartheek Bondugula , Santiago Mazuelas , Aritz Pérez

Many causal estimands, such as average treatment effects under unconfoundedness, can be written as continuous linear functionals of an unknown regression function. We study a weighting estimator that sets weights by a minimax procedure:…

Econometrics · Economics 2025-10-21 Jing Kong

Due to the imbalanced and limited data, semi-supervised medical image segmentation methods often fail to produce superior performance for some specific tailed classes. Inadequate training for those particular classes could introduce more…

Computer Vision and Pattern Recognition · Computer Science 2022-09-02 Hritam Basak , Sagnik Ghosal , Ram Sarkar

Recent studies have shown that the benefits provided by self-supervised pre-training and self-training (pseudo-labeling) are complementary. Semi-supervised fine-tuning strategies under the pre-training framework, however, remain…

Sound · Computer Science 2022-06-28 Bowen Zhang , Songjun Cao , Xiaoming Zhang , Yike Zhang , Long Ma , Takahiro Shinozaki

It has been recently shown that, under the margin (or low noise) assumption, there exist classifiers attaining fast rates of convergence of the excess Bayes risk, i.e., the rates faster than $n^{-1/2}$. The works on this subject suggested…

Statistics Theory · Mathematics 2011-06-01 Jean-Yves Audibert , Alexandre B. Tsybakov

The effect of measurement errors in discriminant analysis is investigated. Given observations $Z=X+\epsilon$, where $\epsilon$ denotes a random noise, the goal is to predict the density of $X$ among two possible candidates $f$ and $g$. We…

Statistics Theory · Mathematics 2015-05-13 Sébastien Loustau , Clément Marteau

We introduce MarginMatch, a new SSL approach combining consistency regularization and pseudo-labeling, with its main novelty arising from the use of unlabeled data training dynamics to measure pseudo-label quality. Instead of using only the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Tiberiu Sosea , Cornelia Caragea

We consider the situation where the observed sample contains some observations whose class of origin is known (that is, they are classified with respect to the g underlying classes of interest), and where the remaining observations in the…

Machine Learning · Statistics 2020-04-15 Geoffrey J. McLachlan , Daniel Ahfock

Speech evaluation measures a learners oral proficiency using automatic models. Corpora for training such models often pose sparsity challenges given that there often is limited scored data from teachers, in addition to the score…

Artificial Intelligence · Computer Science 2024-09-24 Huayun Zhang , Jeremy H. M. Wong , Geyu Lin , Nancy F. Chen

Constrained clustering allows the training of classification models using pairwise constraints only, which are weak and relatively easy to mine, while still yielding full-supervision-level model performance. While they perform well even in…

Machine Learning · Computer Science 2023-11-28 Jann Goschenhofer , Bernd Bischl , Zsolt Kira

Machine learning classification tasks often benefit from predicting a set of possible labels with confidence scores to capture uncertainty. However, existing methods struggle with the high-dimensional nature of the data and the lack of…

Machine Learning · Computer Science 2024-07-08 Rui Luo , Zhixin Zhou

This article considers a semi-supervised classification setting on a Gaussian mixture model, where the data is not labeled strictly as usual, but instead with uncertain labels. Our main aim is to compute the Bayes risk for this model. We…

Machine Learning · Statistics 2024-03-28 Victor Leger , Romain Couillet

This paper proposes a constrained maximum likelihood estimator for sequential search models, using the MPEC (Mathematical Programming with Equilibrium Constraints) approach. This method enhances numerical accuracy while avoiding ad hoc…

Econometrics · Economics 2024-09-09 Shinji Koiso , Suguru Otani
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