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In this work we introduce Deforming Autoencoders, a generative model for images that disentangles shape from appearance in an unsupervised manner. As in the deformable template paradigm, shape is represented as a deformation between a…

Computer Vision and Pattern Recognition · Computer Science 2018-06-19 Zhixin Shu , Mihir Sahasrabudhe , Alp Guler , Dimitris Samaras , Nikos Paragios , Iasonas Kokkinos

In this paper, we propose a fully convolutional networks for iterative non-blind deconvolution We decompose the non-blind deconvolution problem into image denoising and image deconvolution. We train a FCNN to remove noises in the gradient…

Computer Vision and Pattern Recognition · Computer Science 2016-11-22 Jiawei Zhang , Jinshan Pan , Wei-Sheng Lai , Rynson Lau , Ming-Hsuan Yang

We introduce a framework for learning robust visual representations that generalize to new viewpoints, backgrounds, and scene contexts. Discriminative models often learn naturally occurring spurious correlations, which cause them to fail on…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Chengzhi Mao , Augustine Cha , Amogh Gupta , Hao Wang , Junfeng Yang , Carl Vondrick

We study the problem of learning multivariate dependencies in nonparametric and high-dimensional settings. This includes but is not limited to graphical models. Our approach effectively combines several features that are missing from…

Statistics Theory · Mathematics 2026-03-31 Arash A. Amini , Bryon Aragam , Qing Zhou

In this study, we introduce a method for learning group (known or unknown) equivariant functions by learning the associated quadratic form $x^T A x$ corresponding to the group from the data. Certain groups, known as orthogonal groups,…

Machine Learning · Computer Science 2025-10-16 Pavan Karjol , Vivek V Kashyap , Rohan Kashyap , Prathosh A P

Recent generative adversarial networks (GANs) are able to generate impressive photo-realistic images. However, controllable generation with GANs remains a challenging research problem. Achieving controllable generation requires semantically…

Machine Learning · Computer Science 2021-05-04 Grigorios G Chrysos , Jean Kossaifi , Zhiding Yu , Anima Anandkumar

This paper explores a multimodal co-training framework designed to enhance model generalization in situations where labeled data is limited and distribution shifts occur. We thoroughly examine the theoretical foundations of this framework,…

Machine Learning · Computer Science 2025-10-10 Tianyu Bell Pan , Damon L. Woodard

In the first part of this paper, we consider a family of continuous-time dynamical systems coupled with diffusion-transmutation processes. Under certain conditions, such randomly perturbed dynamical systems can be interpreted as an averaged…

Optimization and Control · Mathematics 2024-08-21 Getachew K. Befekadu

Conditional independence (CI) is central to causal inference, feature selection, and graphical modeling, yet it is untestable in many settings without additional assumptions. Existing CI tests often rely on restrictive structural…

Machine Learning · Computer Science 2025-12-23 Alek Frohlich , Vladimir Kostic , Karim Lounici , Daniel Perazzo , Massimiliano Pontil

Multi-modal medical image segmentation plays an essential role in clinical diagnosis. It remains challenging as the input modalities are often not well-aligned spatially. Existing learning-based methods mainly consider sharing trainable…

Computer Vision and Pattern Recognition · Computer Science 2021-01-06 Jingkun Chen , Wenqi Li , Hongwei Li , Jianguo Zhang

Representation learning with small labeled data have emerged in many problems, since the success of deep neural networks often relies on the availability of a huge amount of labeled data that is expensive to collect. To address it, many…

Computer Vision and Pattern Recognition · Computer Science 2021-01-05 Guo-Jun Qi , Jiebo Luo

Complex systems manifest a small number of instabilities and bifurcations that are canonical in nature, resulting in universal pattern forming characteristics as a function of some parametric dependence. Such parametric instabilities are…

Machine Learning · Computer Science 2021-06-10 Manu Kalia , Steven L. Brunton , Hil G. E. Meijer , Christoph Brune , J. Nathan Kutz

Many machine learning techniques incorporate identity-preserving transformations into their models to generalize their performance to previously unseen data. These transformations are typically selected from a set of functions that are…

Machine Learning · Computer Science 2023-03-30 Marissa Connor , Kion Fallah , Christopher Rozell

We introduce a new approach to probabilistic unsupervised learning based on the recognition-parametrised model (RPM): a normalised semi-parametric hypothesis class for joint distributions over observed and latent variables. Under the key…

Machine Learning · Computer Science 2023-04-21 William I. Walker , Hugo Soulat , Changmin Yu , Maneesh Sahani

It is known that, without awareness of the process, our brain appears to focus on the general shape of objects rather than superficial statistics of context. On the other hand, learning autonomously allows discovering invariant regularities…

Computer Vision and Pattern Recognition · Computer Science 2020-03-31 Nader Asadi , Amir M. Sarfi , Mehrdad Hosseinzadeh , Zahra Karimpour , Mahdi Eftekhari

Humans learn a predictive model of the world and use this model to reason about future events and the consequences of actions. In contrast to most machine predictors, we exhibit an impressive ability to generalize to unseen scenarios and…

Machine Learning · Statistics 2016-12-13 Mehdi Mirza , Aaron Courville , Yoshua Bengio

This paper introduces arithmetic geometry for polynomial identity algebras using non-commutative (formal) deformation theory. Since formal deformation theory is inherently local the arithmetic and geometric results that follow give local…

Number Theory · Mathematics 2023-08-29 Daniel Larsson

The problem of detecting and quantifying the presence of symmetries in datasets is useful for model selection, generative modeling, and data analysis, amongst others. While existing methods for hard-coding transformations in neural networks…

Machine Learning · Computer Science 2023-07-06 Alex Gabel , Victoria Klein , Riccardo Valperga , Jeroen S. W. Lamb , Kevin Webster , Rick Quax , Efstratios Gavves

Deep learning has raised hopes and expectations as a general solution for many applications; indeed it has proven effective, but it also showed a strong dependence on large quantities of data. Luckily, it has been shown that, even when data…

Computer Vision and Pattern Recognition · Computer Science 2019-02-14 Fabio Maria Carlucci

Convolutional neural networks (CNNs) have achieved state-of-the-art results on many visual recognition tasks. However, current CNN models still exhibit a poor ability to be invariant to spatial transformations of images. Intuitively, with…

Computer Vision and Pattern Recognition · Computer Science 2019-12-04 Xu Shen , Xinmei Tian , Anfeng He , Shaoyan Sun , Dacheng Tao