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We develop a general framework for estimating function-valued parameters under equality or inequality constraints in infinite-dimensional statistical models. Such constrained learning problems are common across many areas of statistics and…

Machine Learning · Statistics 2025-07-22 Razieh Nabi , Nima S. Hejazi , Mark J. van der Laan , David Benkeser

In this paper, we propose a constrained linear data-feature mapping model as an interpretable mathematical model for image classification using convolutional neural network (CNN) such as the ResNet. From this viewpoint, we establish the…

Image and Video Processing · Electrical Eng. & Systems 2020-07-07 Juncai He , Yuyan Chen , Lian Zhang , Jinchao Xu

t-Stochastic Neighbor Embedding (t-SNE) is a non-parametric data visualization method in classical machine learning. It maps the data from the high-dimensional space into a low-dimensional space, especially a two-dimensional plane, while…

Quantum Physics · Physics 2022-02-10 Yoshiaki Kawase , Kosuke Mitarai , Keisuke Fujii

Progressive Visual Analytics aims at improving the interactivity in existing analytics techniques by means of visualization as well as interaction with intermediate results. One key method for data analysis is dimensionality reduction, for…

Computer Vision and Pattern Recognition · Computer Science 2016-06-17 Nicola Pezzotti , Boudewijn P. F. Lelieveldt , Laurens van der Maaten , Thomas Höllt , Elmar Eisemann , Anna Vilanova

Deep Learning shows very good performance when trained on large labeled data sets. The problem of training a deep net on a few or one sample per class requires a different learning approach which can generalize to unseen classes using only…

Machine Learning · Computer Science 2018-08-23 Jinchao Liu , Stuart J. Gibson , Margarita Osadchy

Most Neural Networks (NNs) for classification are trained using Cross-Entropy as a loss function. This approach requires the model to have an explicit classification layer. However, there exist alternative approaches, such as Contrastive…

Machine Learning · Computer Science 2026-04-27 Leonardo Arrighi , Julia Eva Belloni , Aurélie Gallet , Ivan Gentile , Matteo Lippi , Marco Zullich

In binary classification, imbalance refers to situations in which one class is heavily under-represented. This issue is due to either a data collection process or because one class is indeed rare in a population. Imbalanced classification…

Methodology · Statistics 2022-01-07 Arezou Mojiri , Abbas Khalili , Ali Zeinal Hamadani

Traditional domain generalization methods often rely on domain alignment to reduce inter-domain distribution differences and learn domain-invariant representations. However, domain shifts are inherently difficult to eliminate, which limits…

Computer Vision and Pattern Recognition · Computer Science 2024-12-10 Yuheng Xu , Taiping Zhang

We introduce twin neural network (TNN) regression. This method predicts differences between the target values of two different data points rather than the targets themselves. The solution of a traditional regression problem is then obtained…

Machine Learning · Computer Science 2022-12-14 Sebastian J. Wetzel , Kevin Ryczko , Roger G. Melko , Isaac Tamblyn

Deep neural networks usually benefit from unsupervised pre-training, e.g. auto-encoders. However, the classifier further needs supervised fine-tuning methods for good discrimination. Besides, due to the limits of full-connection, the…

Computer Vision and Pattern Recognition · Computer Science 2016-05-10 Hailin Shi , Xiangyu Zhu , Zhen Lei , Shengcai Liao , Stan Z. Li

In a typical supervised machine learning setting, the predictions on all test instances are based on a common subset of features discovered during model training. However, using a different subset of features that is most informative for…

Machine Learning · Computer Science 2021-06-10 Yasitha Warahena Liyanage , Daphney-Stavroula Zois , Charalampos Chelmis

Parametric embedding methods such as parametric t-SNE (pt-SNE) have been widely adopted for data visualization and out-of-sample data embedding without further computationally expensive optimization or approximation. However, the…

Machine Learning · Computer Science 2018-04-24 Martin Renqiang Min , Hongyu Guo , Dinghan Shen

In recent years, the field of intelligent transportation systems (ITS) has achieved remarkable success, which is mainly due to the large amount of available annotation data. However, obtaining these annotated data has to afford expensive…

Machine Learning · Computer Science 2022-11-30 Quan Feng , Jiayu Yao , Zhison Pan , Guojun Zhou

In this paper, we propose a data-free method of extracting Impressions of each class from the classifier's memory. The Deep Learning regime empowers classifiers to extract distinct patterns (or features) of a given class from training data,…

Computer Vision and Pattern Recognition · Computer Science 2020-08-03 Sravanti Addepalli , Dipesh Tamboli , R. Venkatesh Babu , Biplab Banerjee

High-dimensional data is commonly encountered in numerous data analysis tasks. Feature selection techniques aim to identify the most representative features from the original high-dimensional data. Due to the absence of class label…

Machine Learning · Computer Science 2024-10-29 Yunhui Liang , Jianwen Gan , Yan Chen , Peng Zhou , Liang Du

Discriminative linear models are a popular tool in machine learning. These can be generally divided into two types: The first is linear classifiers, such as support vector machines, which are well studied and provide state-of-the-art…

Machine Learning · Computer Science 2012-07-02 Koby Crammer , Amir Globerson

Understanding how humans and machines learn from sparse data is central to cognitive science and machine learning. Using a species-fair design, we compare children and convolutional neural networks (CNNs) in a few-shot semi-supervised…

Computer Vision and Pattern Recognition · Computer Science 2026-02-04 Fanxiao Wani Qiu , Oscar Leong

Dimensionality reduction methods such as t-SNE and UMAP are popular methods for visualizing data with a potential (latent) clustered structure. They are known to group data points at the same time as they embed them, resulting in…

Machine Learning · Computer Science 2025-09-04 Elizabeth Coda , Ery Arias-Castro , Gal Mishne

Metric learning seeks perceptual embeddings where visually similar instances are close and dissimilar instances are apart, but learned representations can be sub-optimal when the distribution of intra-class samples is diverse and distinct…

Machine Learning · Computer Science 2021-08-30 Elad Levi , Tete Xiao , Xiaolong Wang , Trevor Darrell

Spatiotemporal (ST) image data are increasingly common and often high-dimensional (high-D). Modeling ST data can be a challenge due to the plethora of independent and interacting processes which may or may not contribute to the…

Machine Learning · Computer Science 2021-08-24 Daniel Sousa , Christopher Small
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