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We introduce a novel Bayesian estimator for the class proportion in an unlabeled dataset, based on the targeted learning framework. Our procedure requires the specification of a prior (and outputs a posterior) only for the target of…

Methodology · Statistics 2019-11-26 Iván Díaz , Oleksander Savenkov , Hooman Kamel

Linear autoregressive models serve as basic representations of discrete time stochastic processes. Different attempts have been made to provide non-linear versions of the basic autoregressive process, including different versions based on…

Machine Learning · Statistics 2016-03-17 Edgar A. Valencia , Mauricio A. Álvarez

Data augmentation is a crucial component in unsupervised contrastive learning (CL). It determines how positive samples are defined and, ultimately, the quality of the learned representation. In this work, we open the door to new…

Computer Vision and Pattern Recognition · Computer Science 2023-05-31 Benoit Dufumier , Carlo Alberto Barbano , Robin Louiset , Edouard Duchesnay , Pietro Gori

Positive Unlabeled (PU) learning aims to learn a binary classifier from only positive and unlabeled data, which is utilized in many real-world scenarios. However, existing PU learning algorithms cannot deal with the real-world challenge in…

Machine Learning · Computer Science 2022-07-28 Zhongnian Li , Liutao Yang , Zhongchen Ma , Tongfeng Sun , Xinzheng Xu , Daoqiang Zhang

We study how the training data distribution affects confidence and performance in image classification models. We introduce Embedding Density, a model-agnostic framework that estimates prediction confidence by measuring the distance of test…

Machine Learning · Computer Science 2026-01-28 Maksim Kazanskii , Artem Kasianov

The kernel mean embedding of probability distributions is commonly used in machine learning as an injective mapping from distributions to functions in an infinite dimensional Hilbert space. It allows us, for example, to define a distance…

Quantum Physics · Physics 2019-12-24 Jonas M. Kübler , Krikamol Muandet , Bernhard Schölkopf

Kernel methods are one of the mainstays of machine learning, but the problem of kernel learning remains challenging, with only a few heuristics and very little theory. This is of particular importance in methods based on estimation of…

Machine Learning · Statistics 2016-06-03 Seth Flaxman , Dino Sejdinovic , John P. Cunningham , Sarah Filippi

Positive-Unlabeled (PU) learning tries to learn binary classifiers from a few labeled positive examples with many unlabeled ones. Compared with ordinary semi-supervised learning, this task is much more challenging due to the absence of any…

Machine Learning · Computer Science 2022-12-07 Yunrui Zhao , Qianqian Xu , Yangbangyan Jiang , Peisong Wen , Qingming Huang

Depth measures have gained popularity in the statistical literature for defining level sets in complex data structures like multivariate data, functional data, and graphs. Despite their versatility, integrating depth measures into…

In this paper we propose a framework for predicting kernelized classifiers in the visual domain for categories with no training images where the knowledge comes from textual description about these categories. Through our optimization…

Computer Vision and Pattern Recognition · Computer Science 2015-06-30 Mohamed Elhoseiny , Ahmed Elgammal , Babak Saleh

The task of zero-shot learning (ZSL) requires correctly predicting the label of samples from classes which were unseen at training time. This is achieved by leveraging side information about class labels, such as label attributes or word…

Computer Vision and Pattern Recognition · Computer Science 2020-10-23 Colin Samplawski , Jannik Wolff , Tassilo Klein , Moin Nabi

In binary classification, there are situations where negative (N) data are too diverse to be fully labeled and we often resort to positive-unlabeled (PU) learning in these scenarios. However, collecting a non-representative N set that…

Machine Learning · Computer Science 2019-07-16 Yu-Guan Hsieh , Gang Niu , Masashi Sugiyama

In many real applications of statistical learning, collecting sufficiently many training data is often expensive, time-consuming, or even unrealistic. In this case, a transfer learning approach, which aims to leverage knowledge from a…

Machine Learning · Statistics 2025-02-26 Baozhen Wang , Xingye Qiao

Depth measures are powerful tools for defining level sets in emerging, non--standard, and complex random objects such as high-dimensional multivariate data, functional data, and random graphs. Despite their favorable theoretical properties,…

Most machine learning algorithms, such as classification or regression, treat the individual data point as the object of interest. Here we consider extending machine learning algorithms to operate on groups of data points. We suggest…

Machine Learning · Computer Science 2021-01-15 Danica J. Sutherland , Liang Xiong , Barnabás Póczos , Jeff Schneider

This paper introduces a new kernel-based classifier by viewing kernel matrices as generalized graphs and leveraging recent progress in graph embedding techniques. The proposed method facilitates fast and scalable kernel matrix embedding,…

Machine Learning · Computer Science 2024-11-12 Cencheng Shen

We study the open-set label shift problem, where the test data may include a novel class absent from training. This setting is challenging because both the class proportions and the distribution of the novel class are not identifiable…

Methodology · Statistics 2025-09-19 Siyan Liu , Yukun Liu , Qinglong Tian , Pengfei Li , Jing Qin

Recent empirical works have successfully used unlabeled data to learn feature representations that are broadly useful in downstream classification tasks. Several of these methods are reminiscent of the well-known word2vec embedding…

Machine Learning · Computer Science 2019-02-26 Sanjeev Arora , Hrishikesh Khandeparkar , Mikhail Khodak , Orestis Plevrakis , Nikunj Saunshi

Matrix approximations are a key element in large-scale algebraic machine learning approaches. The recently proposed method MEKA (Si et al., 2014) effectively employs two common assumptions in Hilbert spaces: the low-rank property of an…

Machine Learning · Computer Science 2022-01-21 Simon Heilig , Maximilian Münch , Frank-Michael Schleif

We propose a meta-learning method for positive and unlabeled (PU) classification, which improves the performance of binary classifiers obtained from only PU data in unseen target tasks. PU learning is an important problem since PU data…

Machine Learning · Computer Science 2024-06-07 Atsutoshi Kumagai , Tomoharu Iwata , Yasuhiro Fujiwara