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A fundamental problem in manifold learning is to approximate a functional relationship in a data chosen randomly from a probability distribution supported on a low dimensional sub-manifold of a high dimensional ambient Euclidean space. The…

Machine Learning · Computer Science 2023-07-11 H. N. Mhaskar , Ryan O'Dowd

A novel technique for deep learning of image classifiers is presented. The learned CNN models offer better separation of deep features (also known as embedded vectors) measured by Euclidean proximity and also no deterioration of the…

Computer Vision and Pattern Recognition · Computer Science 2019-04-23 Rafal Pilarczyk , Wladyslaw Skarbek

The key towards learning informative node representations in graphs lies in how to gain contextual information from the neighbourhood. In this work, we present a simple-yet-effective self-supervised node representation learning strategy via…

Machine Learning · Computer Science 2022-03-24 Wei Dong , Junsheng Wu , Yi Luo , Zongyuan Ge , Peng Wang

Existing classification-based face recognition methods have achieved remarkable progress, introducing large margin into hypersphere manifold to learn discriminative facial representations. However, the feature distribution is ignored. Poor…

Computer Vision and Pattern Recognition · Computer Science 2021-07-08 Chengzhi Jiang , Yanzhou Su , Wen Wang , Haiwei Bai , Haijun Liu , Jian Cheng

We study the problem of performing classification in a manner that is fair for sensitive groups, such as race and gender. This problem is tackled through the lens of disentangled and locally fair representations. We learn a locally fair…

Machine Learning · Computer Science 2022-05-06 Yaron Gurovich , Sagie Benaim , Lior Wolf

Representation learning is typically applied to only one mode of a data matrix, either its rows or columns. Yet in many applications, there is an underlying geometry to both the rows and the columns. We propose utilizing this coupled…

Machine Learning · Statistics 2018-10-17 Gal Mishne , Eric C. Chi , Ronald R. Coifman

Prototypical network for Few shot learning tries to learn an embedding function in the encoder that embeds images with similar features close to one another in the embedding space. However, in this process, the support set samples for a…

Computer Vision and Pattern Recognition · Computer Science 2022-11-23 Manas Gogoi , Sambhavi Tiwari , Shekhar Verma

A neural population responding to multiple appearances of a single object defines a manifold in the neural response space. The ability to classify such manifolds is of interest, as object recognition and other computational tasks require a…

Disordered Systems and Neural Networks · Physics 2022-08-30 Uri Cohen , Haim Sompolinsky

An effective technique for obtaining high-quality representations is adding a projection head on top of the encoder during training, then discarding it and using the pre-projection representations. Despite its proven practical…

Machine Learning · Computer Science 2024-03-19 Yihao Xue , Eric Gan , Jiayi Ni , Siddharth Joshi , Baharan Mirzasoleiman

Contrastive learning methods train visual encoders by comparing views from one instance to others. Typically, the views created from one instance are set as positive, while views from other instances are negative. This binary instance…

Computer Vision and Pattern Recognition · Computer Science 2023-03-31 Chongjian Ge , Jiangliu Wang , Zhan Tong , Shoufa Chen , Yibing Song , Ping Luo

We explore the use of a topological manifold, represented as a collection of charts, as the target space of neural network based representation learning tasks. This is achieved by a simple adjustment to the output of an encoder's network…

Machine Learning · Computer Science 2021-06-15 Eric O. Korman

Representation learning has been widely studied in the context of meta-learning, enabling rapid learning of new tasks through shared representations. Recent works such as MAML have explored using fine-tuning-based metrics, which measure the…

Machine Learning · Computer Science 2021-05-06 Kurtland Chua , Qi Lei , Jason D. Lee

Few-shot learning often involves metric learning-based classifiers, which predict the image label by comparing the distance between the extracted feature vector and class representations. However, applying global pooling in the backend of…

Computer Vision and Pattern Recognition · Computer Science 2021-05-26 Inyong Koo , Minki Jeong , Changick Kim

Deep neural networks have reshaped modern machine learning by learning powerful latent representations that often align with the manifold hypothesis: high-dimensional data lie on lower-dimensional manifolds. In this paper, we establish a…

Machine Learning · Computer Science 2025-06-09 Nico Pelleriti , Max Zimmer , Elias Wirth , Sebastian Pokutta

Neural models learn representations of high-dimensional data on low-dimensional manifolds. Multiple factors, including stochasticities in the training process, model architectures, and additional inductive biases, may induce different…

Machine Learning · Computer Science 2025-12-02 Hanlin Yu , Berfin Inal , Georgios Arvanitidis , Soren Hauberg , Francesco Locatello , Marco Fumero

In this work, we propose a method for object recognition and pose estimation from depth images using convolutional neural networks. Previous methods addressing this problem rely on manifold learning to learn low dimensional viewpoint…

Computer Vision and Pattern Recognition · Computer Science 2019-04-19 Mai Bui , Sergey Zakharov , Shadi Albarqouni , Slobodan Ilic , Nassir Navab

Representations learnt through deep neural networks tend to be highly informative, but opaque in terms of what information they learn to encode. We introduce an approach to probabilistic modelling that learns to represent data with two…

Machine Learning · Statistics 2019-05-21 Ilya Feige

Nearest neighbor methods are a popular class of nonparametric estimators with several desirable properties, such as adaptivity to different distance scales in different regions of space. Prior work on convergence rates for nearest neighbor…

Machine Learning · Computer Science 2014-07-03 Kamalika Chaudhuri , Sanjoy Dasgupta

The success of deep neural networks in image classification and learning can be partly attributed to the features they extract from images. It is often speculated about the properties of a low-dimensional manifold that models extract and…

Computer Vision and Pattern Recognition · Computer Science 2022-05-04 Roozbeh Yousefzadeh

Deep learning models develop successive representations of their input in sequential layers, the last of which maps the final representation to the output. Here we investigate the informational content of these representations by observing…

Computer Vision and Pattern Recognition · Computer Science 2023-02-28 Benjamin L. Badger