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Transductive learning is a supervised machine learning task in which, unlike in traditional inductive learning, the unlabelled data that require labelling are a finite set and are available at training time. Similarly to inductive learning…

Machine Learning · Computer Science 2025-07-31 Lorenzo Volpi , Alejandro Moreo , Fabrizio Sebastiani

We develop a technique for deriving data-dependent error bounds for transductive learning algorithms based on transductive Rademacher complexity. Our technique is based on a novel general error bound for transduction in terms of…

Machine Learning · Computer Science 2014-01-16 Ran El-Yaniv , Dmitry Pechyony

We describe a method for predicting a classification of an object given classifications of the objects in the training set, assuming that the pairs object/classification are generated by an i.i.d. process from a continuous probability…

Machine Learning · Computer Science 2013-02-01 Alex Gammerman , Volodya Vovk , Vladimir Vapnik

Transductive learning considers a training set of $m$ labeled samples and a test set of $u$ unlabeled samples, with the goal of best labeling that particular test set. Conversely, inductive learning considers a training set of $m$ labeled…

Machine Learning · Statistics 2016-02-10 Ilya Tolstikhin , David Lopez-Paz

In this paper, we establish generalization bounds for transductive learning algorithms in the context of information theory and PAC-Bayes, covering both the random sampling and the random splitting setting. First, we show that the…

Machine Learning · Computer Science 2025-01-22 Huayi Tang , Yong Liu

Semi-supervised learning is becoming increasingly important because it can combine data carefully labeled by humans with abundant unlabeled data to train deep neural networks. Classic methods on semi-supervised learning that have focused on…

Computer Vision and Pattern Recognition · Computer Science 2019-09-20 Ahmet Iscen , Giorgos Tolias , Yannis Avrithis , Ondrej Chum

Proprietary and closed APIs are becoming increasingly common to process natural language, and are impacting the practical applications of natural language processing, including few-shot classification. Few-shot classification involves…

Computation and Language · Computer Science 2023-10-24 Pierre Colombo , Victor Pellegrain , Malik Boudiaf , Victor Storchan , Myriam Tami , Ismail Ben Ayed , Celine Hudelot , Pablo Piantanida

We introduce Transductive Local Complexity (TLC) to extend the classical Local Rademacher Complexity (LRC) to the transductive setting, incorporating substantial and novel components. Although LRC has been used to obtain sharp…

Machine Learning · Statistics 2026-02-06 Yingzhen Yang

Transductive inference is an effective means of tackling the data deficiency problem in few-shot learning settings. A popular transductive inference technique for few-shot metric-based approaches, is to update the prototype of each class…

Machine Learning · Computer Science 2020-06-25 Seong Min Kye , Hae Beom Lee , Hoirin Kim , Sung Ju Hwang

We present here a PAC-Bayesian point of view on adaptive supervised classification. Using convex analysis, we show how to get local measures of the complexity of the classification model involving the relative entropy of posterior…

Statistics Theory · Mathematics 2007-06-13 Olivier Catoni

A major impediment to the application of deep learning to real-world problems is the scarcity of labeled data. Small training sets are in fact of no use to deep networks as, due to the large number of trainable parameters, they will very…

Computer Vision and Pattern Recognition · Computer Science 2018-05-29 Ismail Elezi , Alessandro Torcinovich , Sebastiano Vascon , Marcello Pelillo

Semi-supervised learning provides an effective paradigm for leveraging unlabeled data to improve a model's performance. Among the many strategies proposed, graph-based methods have shown excellent properties, in particular since they allow…

Machine Learning · Statistics 2021-03-29 Mourad El Hamri , Younès Bennani

In this paper, we tackle the transductive semi-supervised learning problem that aims to obtain label predictions for the given unlabeled data points according to Vapnik's principle. Our proposed approach is based on optimal transport, a…

Machine Learning · Computer Science 2021-10-05 Mourad El Hamri , Younès Bennani , Issam Falih

One-shot learning focuses on adapting pretrained models to recognize newly introduced and unseen classes based on a single labeled image. While variations of few-shot and zero-shot learning exist, one-shot learning remains a challenging yet…

Computer Vision and Pattern Recognition · Computer Science 2025-05-22 Kyle Stein , Andrew A. Mahyari , Guillermo Francia , Eman El-Sheikh

One of the central problems in machine learning is domain adaptation. Unlike past theoretical work, we consider a new model for subpopulation shift in the input or representation space. In this work, we propose a provably effective…

Machine Learning · Computer Science 2021-07-21 Tianle Cai , Ruiqi Gao , Jason D. Lee , Qi Lei

Self-learning is a classical approach for learning with both labeled and unlabeled observations which consists in giving pseudo-labels to unlabeled training instances with a confidence score over a predetermined threshold. At the same time,…

Machine Learning · Computer Science 2021-09-30 Vasilii Feofanov , Emilie Devijver , Massih-Reza Amini

Approximating adequate number of clusters in multidimensional data is an open area of research, given a level of compromise made on the quality of acceptable results. The manuscript addresses the issue by formulating a transductive…

Computer Vision and Pattern Recognition · Computer Science 2015-03-17 Shriprakash Sinha

This monograph deals with adaptive supervised classification, using tools borrowed from statistical mechanics and information theory, stemming from the PACBayesian approach pioneered by David McAllester and applied to a conception of…

Machine Learning · Statistics 2007-12-04 Olivier Catoni

Transductive inference is widely used in few-shot learning, as it leverages the statistics of the unlabeled query set of a few-shot task, typically yielding substantially better performances than its inductive counterpart. The current…

Machine Learning · Computer Science 2022-04-26 Olivier Veilleux , Malik Boudiaf , Pablo Piantanida , Ismail Ben Ayed

Much of learning theory is concerned with the design and analysis of probably approximately correct (PAC) learners. The closely related transductive model of learning has recently seen more scrutiny, with its learners often used as…

Machine Learning · Statistics 2024-10-31 Shaddin Dughmi , Yusuf Kalayci , Grayson York
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