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One approach to parametric and adaptive model reduction is via the interpolation of orthogonal bases, subspaces or positive definite system matrices. In all these cases, the sampled inputs stem from matrix sets that feature a geometric…

Numerical Analysis · Mathematics 2022-12-16 Ralf Zimmermann

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

Several regularization methods have recently been introduced which force the latent activations of an autoencoder or deep neural network to conform to either a Gaussian or hyperspherical distribution, or to minimize the implicit rank of the…

Machine Learning · Computer Science 2022-07-04 Xuefeng Li , Alan Blair

Autoencoders have long been considered a nonlinear extension of Principal Component Analysis (PCA). Prior studies have demonstrated that linear autoencoders (LAEs) can recover the ordered, axis-aligned principal components of PCA by…

Machine Learning · Computer Science 2026-01-28 Qipeng Zhan , Zhuoping Zhou , Zexuan Wang , Li Shen

Ensemble weather predictions typically show systematic errors that have to be corrected via post-processing. Even state-of-the-art post-processing methods based on neural networks often solely rely on location-specific predictors that…

Machine Learning · Computer Science 2022-04-12 Sebastian Lerch , Kai L. Polsterer

Image tokenizers play a central role in modern generative models, where the structure of the latent space critically determines the downstream generation performance. A key but underexplored property of effective latent representations is…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Jinsung Lee , Jaemin Oh , Namhun Kim , Dongwon Kim , Byung-Jun Yoon , Suha Kwak

In video super-resolution, it is common to use a frame-wise alignment to support the propagation of information over time. The role of alignment is well-studied for low-level enhancement in video, but existing works overlook a critical step…

Computer Vision and Pattern Recognition · Computer Science 2024-01-19 Kai Xu , Ziwei Yu , Xin Wang , Michael Bi Mi , Angela Yao

Regularized training of an autoencoder typically results in hidden unit biases that take on large negative values. We show that negative biases are a natural result of using a hidden layer whose responsibility is to both represent the input…

Machine Learning · Statistics 2015-04-09 Kishore Konda , Roland Memisevic , David Krueger

Is there really much more to say about sparse autoencoders (SAEs)? Autoencoders in general, and SAEs in particular, represent deep architectures that are capable of modeling low-dimensional latent structure in data. Such structure could…

Machine Learning · Computer Science 2025-06-09 Yin Lu , Xuening Zhu , Tong He , David Wipf

In this paper, we introduce a novel 3D mesh convolution-based autoencoder for geometry compression, able to deal with irregular mesh data without requiring neither preprocessing nor manifold/watertightness conditions. The proposed approach…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Germain Bregeon , Marius Preda , Radu Ispas , Titus Zaharia

Autoencoding, which aims to reconstruct the input images through a bottleneck latent representation, is one of the classic feature representation learning strategies. It has been shown effective as an auxiliary task for semi-supervised…

Computer Vision and Pattern Recognition · Computer Science 2023-03-20 Yuhao Lin , Haiming Xu , Lingqiao Liu , Jinan Zou , Javen Qinfeng Shi

Different encodings of datapoints in the latent space of latent-vector generative models may result in more or less effective and disentangled characterizations of the different explanatory factors of variation behind the data. Many works…

Machine Learning · Computer Science 2022-07-15 Andrea Asperti , Valerio Tonelli

Autoencoders are techniques for data representation learning based on artificial neural networks. Differently to other feature learning methods which may be focused on finding specific transformations of the feature space, they can be…

Machine Learning · Computer Science 2020-05-12 David Charte , Francisco Charte , María J. del Jesus , Francisco Herrera

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

This work proposes an algorithm for explicitly constructing a pair of neural networks that linearize and reconstruct an embedded submanifold, from finite samples of this manifold. Our such-generated neural networks, called Flattening…

Machine Learning · Computer Science 2023-09-11 Michael Psenka , Druv Pai , Vishal Raman , Shankar Sastry , Yi Ma

Learning maps between data samples is fundamental. Applications range from representation learning, image translation and generative modeling, to the estimation of spatial deformations. Such maps relate feature vectors, or map between…

Computer Vision and Pattern Recognition · Computer Science 2021-06-18 Hastings Greer , Roland Kwitt , Francois-Xavier Vialard , Marc Niethammer

Autoencoder-based learning has emerged as a staple for disciplining representations in unsupervised and semi-supervised settings. This paper analyzes a framework for improving generalization in a purely supervised setting, where the target…

Machine Learning · Statistics 2020-01-24 Daniel Jarrett , Mihaela van der Schaar

We train multi-task autoencoders on linguistic tasks and analyze the learned hidden sentence representations. The representations change significantly when translation and part-of-speech decoders are added. The more decoders a model…

Computation and Language · Computer Science 2018-01-19 Gino Brunner , Yuyi Wang , Roger Wattenhofer , Michael Weigelt

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

Deep generative models have made tremendous advances in image and signal representation learning and generation. These models employ the full Euclidean space or a bounded subset as the latent space, whose flat geometry, however, is often…

Machine Learning · Computer Science 2020-08-17 Stefan Schonsheck , Jie Chen , Rongjie Lai
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