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Many deep neural networks are susceptible to minute perturbations of images that have been carefully crafted to cause misclassification. Ideally, a robust classifier would be immune to small variations in input images, and a number of…

Computer Vision and Pattern Recognition · Computer Science 2022-02-08 Eashan Adhikarla , Dan Luo , Brian D. Davison

Autoencoders exhibit impressive abilities to embed the data manifold into a low-dimensional latent space, making them a staple of representation learning methods. However, without explicit supervision, which is often unavailable, the…

Machine Learning · Computer Science 2023-01-12 Felix Leeb , Stefan Bauer , Michel Besserve , Bernhard Schölkopf

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

Tensor decomposition is one of the fundamental technique for model compression of deep convolution neural networks owing to its ability to reveal the latent relations among complex structures. However, most existing methods compress the…

Computer Vision and Pattern Recognition · Computer Science 2021-12-08 Bo-Shiuan Chu , Che-Rung Lee

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

Auto-encoder models that preserve similarities in the data are a popular tool in representation learning. In this paper we introduce several auto-encoder models that preserve local distances when mapping from the data space to the latent…

Machine Learning · Computer Science 2022-10-03 Nutan Chen , Patrick van der Smagt , Botond Cseke

This paper is a cursory study on how topological features are preserved within the internal representations of neural network layers. Using techniques from topological data analysis, namely persistent homology, the topological features of a…

Machine Learning · Computer Science 2022-08-16 Archie Shahidullah

Graph embedding is an effective method to represent graph data in a low dimensional space for graph analytics. Most existing embedding algorithms typically focus on preserving the topological structure or minimizing the reconstruction…

Machine Learning · Computer Science 2019-01-09 Shirui Pan , Ruiqi Hu , Guodong Long , Jing Jiang , Lina Yao , Chengqi Zhang

Neural networks are widely used for image-related tasks but typically demand considerable computing power. Once a network has been trained, however, its memory- and compute-footprint can be reduced by compression. In this work, we focus on…

Machine Learning · Computer Science 2025-11-13 Alper Kalle , Theo Rudkiewicz , Mohamed-Oumar Ouerfelli , Mohamed Tamaazousti

Convolutional autoencoders are now at the forefront of image compression research. To improve their entropy coding, encoder output is typically analyzed with a second autoencoder to generate per-variable parametrized prior probability…

Image and Video Processing · Electrical Eng. & Systems 2021-11-18 Benoit Brummer , Christophe De Vleeschouwer

We consider an inverse problem involving the reconstruction of the solution to a nonlinear partial differential equation (PDE) with unknown boundary conditions. Instead of direct boundary data, we are provided with a large dataset of…

Numerical Analysis · Mathematics 2025-07-30 Erik Burman , Mats G. Larson , Karl Larsson , Carl Lundholm

Standard accounts of memory consolidation emphasise the stabilisation of stored representations, but struggle to explain representational drift, semanticisation, or the necessity of offline replay. Here we propose that high-capacity…

Neurons and Cognition · Quantitative Biology 2026-03-06 Zafeirios Fountas , Adnan Oomerjee , Haitham Bou-Ammar , Jun Wang , Neil Burgess

Coded aperture is a promising approach for capturing the 4-D light field (LF), in which the 4-D data are compressively modulated into 2-D coded measurements that are further decoded by reconstruction algorithms. The bottleneck lies in the…

Image and Video Processing · Electrical Eng. & Systems 2020-07-24 Mantang Guo , Junhui Hou , Jing Jin , Jie Chen , Lap-Pui Chau

We propose a method for learning topology-preserving data representations (dimensionality reduction). The method aims to provide topological similarity between the data manifold and its latent representation via enforcing the similarity in…

Machine Learning · Computer Science 2023-05-05 Ilya Trofimov , Daniil Cherniavskii , Eduard Tulchinskii , Nikita Balabin , Evgeny Burnaev , Serguei Barannikov

Learning generative probabilistic models is a core problem in machine learning, which presents significant challenges due to the curse of dimensionality. This paper proposes a joint dimensionality reduction and non-parametric density…

Machine Learning · Statistics 2022-06-22 Magda Amiridi , Nikos Kargas , Nicholas D. Sidiropoulos

We tackle the problem disentangling the latent space of an autoencoder in order to separate labelled attribute information from other characteristic information. This then allows us to change selected attributes while preserving other…

Machine Learning · Computer Science 2020-08-18 Xiao Li , Chenghua Lin , Ruizhe Li , Chaozheng Wang , Frank Guerin

Scientific datasets present unique challenges for machine learning-driven compression methods, including more stringent requirements on accuracy and mitigation of potential invalidating artifacts. Drawing on results from compressed sensing…

Machine Learning · Computer Science 2024-05-24 Matthias Chung , Rick Archibald , Paul Atzberger , Jack Michael Solomon

In electrical impedance tomography, algorithms based on minimizing the linearized-data-fit residuum have been widely used due to their real-time implementation and satisfactory reconstructed images. However, the resulting images usually…

Analysis of PDEs · Mathematics 2019-03-25 Bastian Harrach , Mach Nguyet Minh

Autoencoders are popular among neural-network-based matrix completion models due to their ability to retrieve potential latent factors from the partially observed matrices. Nevertheless, when training data is scarce their performance is…

Machine Learning · Computer Science 2018-07-06 Duc Minh Nguyen , Evaggelia Tsiligianni , Robert Calderbank , Nikos Deligiannis

We propose a symmetric graph convolutional autoencoder which produces a low-dimensional latent representation from a graph. In contrast to the existing graph autoencoders with asymmetric decoder parts, the proposed autoencoder has a newly…

Machine Learning · Computer Science 2019-08-08 Jiwoong Park , Minsik Lee , Hyung Jin Chang , Kyuewang Lee , Jin Young Choi
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