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We present a principled Bayesian framework for signal reconstruction, in which the signal is modelled by basis functions whose number (and form, if required) is determined by the data themselves. This approach is based on a Bayesian…

Instrumentation and Methods for Astrophysics · Physics 2019-01-23 Edward Higson , Will Handley , Michael Hobson , Anthony Lasenby

Generative graph models struggle to scale due to the need to predict the existence or type of edges between all node pairs. To address the resulting quadratic complexity, existing scalable models often impose restrictive assumptions such as…

Machine Learning · Computer Science 2024-05-24 Yiming Qin , Clement Vignac , Pascal Frossard

Natural images are often affected by random noise and image denoising has long been a central topic in Computer Vision. Many algorithms have been introduced to remove the noise from the natural images, such as Gaussian, Wiener filtering and…

Computer Vision and Pattern Recognition · Computer Science 2013-08-07 Hyuntaek Oh

In this paper, we propose an easily trained yet powerful representation learning approach with performance highly competitive to deep neural networks in a digital pathology image segmentation task. The method, called sparse coding driven…

Computer Vision and Pattern Recognition · Computer Science 2020-08-14 Jie Song , Liang Xiao , Mohsen Molaei , Zhichao Lian

Hyperspectral images (HSIs) play a crucial role in remote sensing but are often degraded by complex noise patterns. Ensuring the physical property of the denoised HSIs is vital for robust HSI denoising, giving the rise of deep…

Image and Video Processing · Electrical Eng. & Systems 2025-12-23 Jin Ye , Jingran Wang , Fengchao Xiong , Jingzhou Chen , Yuntao Qian

We describe a method to train a generative model with latent factors that are (approximately) independent and localized. This means that perturbing the latent variables affects only local regions of the synthesized image, corresponding to…

Computer Vision and Pattern Recognition · Computer Science 2020-04-14 Yanchao Yang , Yutong Chen , Stefano Soatto

Recent advances of image-to-image translation focus on learning the one-to-many mapping from two aspects: multi-modal translation and multi-domain translation. However, the existing methods only consider one of the two perspectives, which…

Computer Vision and Pattern Recognition · Computer Science 2019-12-30 Xiaoming Yu , Yuanqi Chen , Thomas Li , Shan Liu , Ge Li

Learning meaningful representations that disentangle the underlying structure of the data generating process is considered to be of key importance in machine learning. While disentangled representations were found to be useful for diverse…

This paper seeks to combine dictionary learning and hierarchical image representation in a principled way. To make dictionary atoms capturing additional information from extended receptive fields and attain improved descriptive capacity, we…

Computer Vision and Pattern Recognition · Computer Science 2019-11-11 Tong Zhang , Fatih Porikli

We present several theoretical contributions which allow Lie groups to be fit to high dimensional datasets. Transformation operators are represented in their eigen-basis, reducing the computational complexity of parameter estimation to that…

Computer Vision and Pattern Recognition · Computer Science 2017-06-08 Jascha Sohl-Dickstein , Ching Ming Wang , Bruno A. Olshausen

The resolution of optical imaging is classically limited by the width of the point-spread function, which in turn is determined by the Rayleigh length. Recently, spatial-mode demultiplexing (SPADE) has been proposed as a method to achieve…

Quantum Physics · Physics 2025-02-26 Giuseppe Buonaiuto , Cosmo Lupo

This paper tackles the problem of disentangling the latent variables of style and content in language models. We propose a simple yet effective approach, which incorporates auxiliary multi-task and adversarial objectives, for label…

Computation and Language · Computer Science 2018-09-12 Vineet John , Lili Mou , Hareesh Bahuleyan , Olga Vechtomova

One of the fundamental representation learning tasks is unsupervised sequential disentanglement, where latent codes of inputs are decomposed to a single static factor and a sequence of dynamic factors. To extract this latent information,…

Machine Learning · Computer Science 2025-10-09 Nimrod Berman , Ilan Naiman , Idan Arbiv , Gal Fadlon , Omri Azencot

Disentangling factors of variation has become a very challenging problem on representation learning. Existing algorithms suffer from many limitations, such as unpredictable disentangling factors, poor quality of generated images from…

Computer Vision and Pattern Recognition · Computer Science 2018-03-29 Taihong Xiao , Jiapeng Hong , Jinwen Ma

The aim of this paper is to develop a class of spatial transformation models (STM) to spatially model the varying association between imaging measures in a three-dimensional (3D) volume (or 2D surface) and a set of covariates. Our STMs…

Applications · Statistics 2016-07-27 Michelle F. Miranda , Hongtu Zhu , Joseph G. Ibrahim

In representation learning and non-linear dimension reduction, there is a huge interest to learn the 'disentangled' latent variables, where each sub-coordinate almost uniquely controls a facet of the observed data. While many regularization…

Machine Learning · Statistics 2019-09-09 Yue Bai , Leo L. Duan

A considerable amount of research in harmonic analysis has been devoted to non-linear estimators of signals contaminated by additive Gaussian noise. They are implemented by thresholding coefficients in a frame, which provide a sparse signal…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Nathanaël Cuvelle--Magar , Stéphane Mallat

We propose and analyze a novel framework for learning sparse representations, based on two statistical techniques: kernel smoothing and marginal regression. The proposed approach provides a flexible framework for incorporating feature…

Machine Learning · Statistics 2012-10-04 Krishnakumar Balasubramanian , Kai Yu , Guy Lebanon

Continual learning enables large language models to adapt to evolving tasks without retraining from scratch, yet catastrophic forgetting remains a central obstacle. Among continual learning methods, regularization-based approaches are…

Machine Learning · Computer Science 2026-05-26 Mingxu Zhang , Yuhan Li , Lujundong Li , Dazhong Shen , Hui Xiong , Ying Sun

Building on recent advances in image generation, we present a fully data-driven approach to rendering markup into images. The approach is based on diffusion models, which parameterize the distribution of data using a sequence of denoising…

Machine Learning · Computer Science 2022-10-12 Yuntian Deng , Noriyuki Kojima , Alexander M. Rush