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Representation learning seeks meaningful sensory representations without supervision and can model aspects of human development. Although many neural networks empirically learn useful features, a principled account of what makes a…

Machine Learning · Computer Science 2026-05-07 Takayuki Komatsu , Yoshiyuki Ohmura , Yasuo Kuniyoshi

The main goal of representation learning is to acquire meaningful representations from real-world sensory inputs without supervision. Representation learning explains some aspects of human development. Various neural network (NN) models…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Takayuki Komatsu , Yoshiyuki Ohmura , Kayato Nishitsunoi , Yasuo Kuniyoshi

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

The use of image transformations is essential for efficient modeling and learning of visual data. But the class of relevant transformations is large: affine transformations, projective transformations, elastic deformations, ... the list…

Machine Learning · Computer Science 2021-06-24 Sergey Pankov

We view disentanglement learning as discovering an underlying structure that equivariantly reflects the factorized variations shown in data. Traditionally, such a structure is fixed to be a vector space with data variations represented by…

Machine Learning · Computer Science 2021-06-08 Xinqi Zhu , Chang Xu , Dacheng Tao

While current deep learning models achieve high performance by learning statistical correlations from vast datasets,which stands in stark contrast to human learning. They lack the flexibility of humans-particularly preverbal infants-to…

Machine Learning · Computer Science 2026-04-24 Kyotaro Ushida , Takayuki Komatsu , Yoshiyuki Ohmura , Yasuo Kuniyoshi

The dictionary learning problem can be viewed as a data-driven process to learn a suitable transformation so that data is sparsely represented directly from example data. In this paper, we examine the problem of learning a dictionary that…

Optimization and Control · Mathematics 2026-02-05 Subhroshekhar Ghosh , Aaron Y. R. Low , Yong Sheng Soh , Zhuohang Feng , Brendan K. Y. Tan

The key idea behind the unsupervised learning of disentangled representations is that real-world data is generated by a few explanatory factors of variation which can be recovered by unsupervised learning algorithms. In this paper, we…

Machine Learning · Computer Science 2019-06-19 Francesco Locatello , Stefan Bauer , Mario Lucic , Gunnar Rätsch , Sylvain Gelly , Bernhard Schölkopf , Olivier Bachem

Learning disentangled representations is a key step towards effectively discovering and modelling the underlying structure of environments. In the natural sciences, physics has found great success by describing the universe in terms of…

Machine Learning · Computer Science 2020-10-27 Robin Quessard , Thomas D. Barrett , William R. Clements

Unsupervised learning enables modeling complex images without the need for annotations. The representation learned by such models can facilitate any subsequent analysis of large image datasets. However, some generative factors that cause…

Image and Video Processing · Electrical Eng. & Systems 2020-08-27 Maxime W. Lafarge , Josien P. W. Pluim , Mitko Veta

Equivariant neural networks, whose hidden features transform according to representations of a group G acting on the data, exhibit training efficiency and an improved generalisation performance. In this work, we extend group invariant and…

Machine Learning · Computer Science 2024-04-15 Robin Winter , Marco Bertolini , Tuan Le , Frank Noé , Djork-Arné Clevert

Our goal is to extract meaningful transformations from raw images, such as varying the thickness of lines in handwriting or the lighting in a portrait. We propose an unsupervised approach to learn such transformations by attempting to…

Machine Learning · Statistics 2017-11-08 Tatsunori B. Hashimoto , John C. Duchi , Percy Liang

Intelligent agents should be able to learn useful representations by observing changes in their environment. We model such observations as pairs of non-i.i.d. images sharing at least one of the underlying factors of variation. First, we…

Machine Learning · Computer Science 2020-10-21 Francesco Locatello , Ben Poole , Gunnar Rätsch , Bernhard Schölkopf , Olivier Bachem , Michael Tschannen

Disentangled representation learning is one of the major goals of deep learning, and is a key step for achieving explainable and generalizable models. A well-defined theoretical guarantee still lacks for the VAE-based unsupervised methods,…

Machine Learning · Computer Science 2022-03-16 Tao Yang , Xuanchi Ren , Yuwang Wang , Wenjun Zeng , Nanning Zheng

Progress in self-supervised learning has brought strong general image representation learning methods. Yet so far, it has mostly focused on image-level learning. In turn, tasks such as unsupervised image segmentation have not benefited from…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Adrian Ziegler , Yuki M. Asano

Learning interpretable and human-controllable representations that uncover factors of variation in data remains an ongoing key challenge in representation learning. We investigate learning group-disentangled representations for groups of…

Machine Learning · Computer Science 2021-10-26 Linh Tran , Amir Hosein Khasahmadi , Aditya Sanghi , Saeid Asgari

Modeling group actions on latent representations enables controllable transformations of high-dimensional image data. Prior works applying group-theoretic priors or modeling transformations typically operate in the high-dimensional data…

Computer Vision and Pattern Recognition · Computer Science 2025-12-16 Farhana Hossain Swarnali , Miaomiao Zhang , Tonmoy Hossain

Constructing complex computation from simpler building blocks is a defining problem of computer science. In algebraic automata theory, we represent computing devices as semigroups. Accordingly, we use mathematical tools like products and…

Group Theory · Mathematics 2025-05-06 Attila Egri-Nagy , Chrystopher L. Nehaniv

This paper deals with criteria of algebraic independence for the derivatives of solutions of rank one difference equations. The key idea consists in deriving from the commutativity of the differentiation and difference operators a sequence…

Quantum Algebra · Mathematics 2007-05-23 Charlotte Hardouin

Large intra-class variation is the result of changes in multiple object characteristics. Images, however, only show the superposition of different variable factors such as appearance or shape. Therefore, learning to disentangle and…

Computer Vision and Pattern Recognition · Computer Science 2019-06-18 Dominik Lorenz , Leonard Bereska , Timo Milbich , Björn Ommer
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