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This paper presents primarily two Euclidean embeddings of the quotient space generated by matrices that are identified modulo arbitrary row permutations. The original application is in deep learning on graphs where the learning task is…

Functional Analysis · Mathematics 2022-03-16 Radu Balan , Naveed Haghani , Maneesh Singh

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

Pre-trained deep image representations are useful for post-training tasks such as classification through transfer learning, image retrieval, and object detection. Data augmentations are a crucial aspect of pre-training robust…

Computer Vision and Pattern Recognition · Computer Science 2023-02-23 Sangnie Bhardwaj , Willie McClinton , Tongzhou Wang , Guillaume Lajoie , Chen Sun , Phillip Isola , Dilip Krishnan

As an increasing amount of image and video content will be analyzed by machines, there is demand for a new codec paradigm that is capable of compressing visual input primarily for the purpose of computer vision inference, while secondarily…

Image and Video Processing · Electrical Eng. & Systems 2023-01-12 Ezgi Ozyilkan , Mateen Ulhaq , Hyomin Choi , Fabien Racape

In many real-world applications of regression, conditional probability estimation, and uncertainty quantification, exploiting symmetries rooted in physics or geometry can dramatically improve generalization and sample efficiency. While…

Machine Learning · Computer Science 2025-05-28 Daniel Ordoñez-Apraez , Vladimir Kostić , Alek Fröhlich , Vivien Brandt , Karim Lounici , Massimiliano Pontil

Representation of data on mixed variables, numerical and categorical types to get suitable feature map is a challenging task as important information lies in a complex non-linear manifold. The feature transformation should be able to…

Machine Learning · Computer Science 2020-09-22 Saswata Sahoo , Souradip Chakraborty

Learning representations of images that are invariant to sensitive or unwanted attributes is important for many tasks including bias removal and cross domain retrieval. Here, our objective is to learn representations that are invariant to…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Jonathan Kahana , Yedid Hoshen

An effective way to model the complex real world is to view the world as a composition of basic components of objects and transformations. Although humans through development understand the compositionality of the real world, it is…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 T. Takada , W. Shimaya , Y. Ohmura , Y. Kuniyoshi

Neural implicit representations have shown substantial improvements in efficiently storing 3D data, when compared to conventional formats. However, the focus of existing work has mainly been on storage and subsequent reconstruction. In this…

Computer Vision and Pattern Recognition · Computer Science 2022-10-18 Theo W. Costain , Victor Adrian Prisacariu

The translation equivariance of convolutional layers enables convolutional neural networks to generalize well on image problems. While translation equivariance provides a powerful inductive bias for images, we often additionally desire…

Machine Learning · Statistics 2020-09-25 Marc Finzi , Samuel Stanton , Pavel Izmailov , Andrew Gordon Wilson

Recent works on representation learning for Knowledge Graphs have moved beyond the problem of link prediction, to answering queries of an arbitrary structure. Existing methods are based on ad-hoc mechanisms that require training with a…

Artificial Intelligence · Computer Science 2020-06-25 Daniel Daza , Michael Cochez

Recognizing wild faces is extremely hard as they appear with all kinds of variations. Traditional methods either train with specifically annotated variation data from target domains, or by introducing unlabeled target variation data to…

Computer Vision and Pattern Recognition · Computer Science 2020-02-28 Yichun Shi , Xiang Yu , Kihyuk Sohn , Manmohan Chandraker , Anil K. Jain

We propose an algorithm, guided variational autoencoder (Guided-VAE), that is able to learn a controllable generative model by performing latent representation disentanglement learning. The learning objective is achieved by providing…

Computer Vision and Pattern Recognition · Computer Science 2020-04-06 Zheng Ding , Yifan Xu , Weijian Xu , Gaurav Parmar , Yang Yang , Max Welling , Zhuowen Tu

In this work we investigate how to achieve equivariance to input transformations in deep networks, purely from data, without being given a model of those transformations. Convolutional Neural Networks (CNNs), for example, are equivariant to…

Computer Vision and Pattern Recognition · Computer Science 2021-11-29 Jianbo Jiao , João F. Henriques

Deep feature spaces have the capacity to encode complex transformations of their input data. However, understanding the relative feature-space relationship between two transformed encoded images is difficult. For instance, what is the…

Computer Vision and Pattern Recognition · Computer Science 2017-10-23 Daniel E. Worrall , Stephan J. Garbin , Daniyar Turmukhambetov , Gabriel J. Brostow

The complexity of a learning task is increased by transformations in the input space that preserve class identity. Visual object recognition for example is affected by changes in viewpoint, scale, illumination or planar transformations.…

Computer Vision and Pattern Recognition · Computer Science 2017-03-16 Andrea Tacchetti , Stephen Voinea , Georgios Evangelopoulos

Pretrained encoders for mathematical texts have achieved significant improvements on various tasks such as formula classification and information retrieval. Yet they remain limited in representing and capturing student strategies for entire…

Computers and Society · Computer Science 2026-04-13 Siddhartha Pradhan , Ethan Prihar , Erin Ottmar

Given a collection of images, humans are able to discover landmarks by modeling the shared geometric structure across instances. This idea of geometric equivariance has been widely used for the unsupervised discovery of object landmark…

Computer Vision and Pattern Recognition · Computer Science 2021-04-06 Zezhou Cheng , Jong-Chyi Su , Subhransu Maji

Latent traversal is a popular approach to visualize the disentangled latent representations. Given a bunch of variations in a single unit of the latent representation, it is expected that there is a change in a single factor of variation of…

Computer Vision and Pattern Recognition · Computer Science 2020-07-28 Xinqi Zhu , Chang Xu , Dacheng Tao

Recent advances in image clustering typically focus on learning better deep representations. In contrast, we present an orthogonal approach that does not rely on abstract features but instead learns to predict image transformations and…

Computer Vision and Pattern Recognition · Computer Science 2020-10-29 Tom Monnier , Thibault Groueix , Mathieu Aubry