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A common pipeline in functional data analysis is to first convert the discretely observed data to smooth functions, and then represent the functions by a finite-dimensional vector of coefficients summarizing the information. Existing…

Machine Learning · Computer Science 2024-01-19 Sidi Wu , Cédric Beaulac , Jiguo Cao

Autoencoders can be challenged by spatially non-uniform sampling of image content. This is common in medical imaging, biology, and physics, where informative patterns occur rarely at specific image coordinates, as background dominates these…

Computer Vision and Pattern Recognition · Computer Science 2026-04-03 Alejandro Castañeda Garcia , Jan van Gemert , Daan Brinks , Nergis Tömen

Anomaly detection is the problem of recognizing abnormal inputs based on the seen examples of normal data. Despite recent advances of deep learning in recognizing image anomalies, these methods still prove incapable of handling complex…

Computer Vision and Pattern Recognition · Computer Science 2021-09-14 Nina Shvetsova , Bart Bakker , Irina Fedulova , Heinrich Schulz , Dmitry V. Dylov

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

Given a single image x from domain A and a set of images from domain B, our task is to generate the analogous of x in B. We argue that this task could be a key AI capability that underlines the ability of cognitive agents to act in the…

Computer Vision and Pattern Recognition · Computer Science 2018-10-24 Sagie Benaim , Lior Wolf

Sparse auto-encoders are useful for extracting low-dimensional representations from high-dimensional data. However, their performance degrades sharply when the input noise at test time differs from the noise employed during training. This…

Machine Learning · Computer Science 2024-07-01 Nelson Goldenstein , Jeremias Sulam , Yaniv Romano

The learning of Transformation-Equivariant Representations (TERs), which is introduced by Hinton et al. \cite{hinton2011transforming}, has been considered as a principle to reveal visual structures under various transformations. It contains…

Computer Vision and Pattern Recognition · Computer Science 2019-07-24 Guo-Jun Qi , Liheng Zhang , Chang Wen Chen , Qi Tian

Dimension reduction techniques usually lose information in the sense that reconstructed data are not identical to the original data. However, we argue that it is possible to have reconstructed data identically distributed as the original…

Machine Learning · Statistics 2026-05-15 Xinwei Shen , Nicolai Meinshausen

Scale-space representation has been popular in computer vision community due to its theoretical foundation. The motivation for generating a scale-space representation of a given data set originates from the basic observation that real-world…

Computer Vision and Pattern Recognition · Computer Science 2018-05-15 Qilu Zhao , Zongmin Li

With the inexorable digitalisation of the modern world, every subset in the field of technology goes through major advancements constantly. One such subset is digital images which are ever so popular. Images can not always be as visually…

Computer Vision and Pattern Recognition · Computer Science 2022-07-26 Prashanth Venkataraman

Generative autoencoders offer a promising approach for controllable text generation by leveraging their latent sentence representations. However, current models struggle to maintain coherent latent spaces required to perform meaningful text…

Machine Learning · Computer Science 2020-07-08 Tianxiao Shen , Jonas Mueller , Regina Barzilay , Tommi Jaakkola

Anomaly detection and localization without any manual annotations and prior knowledge is a challenging task under the setting of unsupervised learning. The existing works achieve excellent performance in the anomaly detection, but with…

Computer Vision and Pattern Recognition · Computer Science 2024-05-16 Honghui Chen , Pingping Chen , Huan Mao , Mengxi Jiang

Denoising diffusion models produce high-fidelity image samples by capturing the image distribution in a progressive manner while initializing with a simple distribution and compounding the distribution complexity. Although these models have…

Computer Vision and Pattern Recognition · Computer Science 2025-07-04 Ayantika Das , Moitreya Chaudhuri , Koushik Bhat , Keerthi Ram , Mihail Bota , Mohanasankar Sivaprakasam

The availability of affordable and portable depth sensors has made scanning objects and people simpler than ever. However, dealing with occlusions and missing parts is still a significant challenge. The problem of reconstructing a (possibly…

Computer Vision and Pattern Recognition · Computer Science 2018-04-05 Or Litany , Alex Bronstein , Michael Bronstein , Ameesh Makadia

Generative processes in biology and other fields often produce data that can be regarded as resulting from a composition of basic features. Here we present an unsupervised method based on autoencoders for inferring these basic features of…

Quantitative Methods · Quantitative Biology 2019-10-04 Matteo Negri , Davide Bergamini , Carlo Baldassi , Riccardo Zecchina , Christoph Feinauer

We discuss an autoencoder model in which the encoding and decoding functions are implemented by decision trees. We use the soft decision tree where internal nodes realize soft multivariate splits given by a gating function and the overall…

Machine Learning · Computer Science 2014-09-29 Ozan İrsoy , Ethem Alpaydın

There has been a lot of recent interest in designing neural network models to estimate a distribution from a set of examples. We introduce a simple modification for autoencoder neural networks that yields powerful generative models. Our…

Machine Learning · Computer Science 2015-06-08 Mathieu Germain , Karol Gregor , Iain Murray , Hugo Larochelle

Understanding the mechanisms underlying deep neural networks remains a fundamental challenge in machine learning and computer vision. One promising, yet only preliminarily explored approach, is feature inversion, which attempts to…

Computer Vision and Pattern Recognition · Computer Science 2025-08-15 Jan Rathjens , Shirin Reyhanian , David Kappel , Laurenz Wiskott

Autoencoding is a popular method in representation learning. Conventional autoencoders employ symmetric encoding-decoding procedures and a simple Euclidean latent space to detect hidden low-dimensional structures in an unsupervised way.…

Machine Learning · Computer Science 2024-10-07 Stefan C. Schonsheck , Scott Mahan , Timo Klock , Alexander Cloninger , Rongjie Lai

Intrinsic image decomposition is the classical task of mapping image to albedo. The WHDR dataset allows methods to be evaluated by comparing predictions to human judgements ("lighter", "same as", "darker"). The best modern intrinsic image…

Computer Vision and Pattern Recognition · Computer Science 2020-11-23 D. A. Forsyth , Jason J. Rock