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We study the problem of self-supervised structured representation learning using autoencoders for downstream tasks such as generative modeling. Unlike most methods which rely on matching an arbitrary, relatively unstructured, prior…

Machine Learning · Computer Science 2024-02-16 Felix Leeb , Guilia Lanzillotta , Yashas Annadani , Michel Besserve , Stefan Bauer , Bernhard Schölkopf

Unsupervised learning is of growing interest because it unlocks the potential held in vast amounts of unlabelled data to learn useful representations for inference. Autoencoders, a form of generative model, may be trained by learning to…

Computer Vision and Pattern Recognition · Computer Science 2018-01-08 Antonia Creswell , Anil Anthony Bharath

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

Many theories are formulated as constrained systems. We provide a mechanism that explains the origin of physical states of a constrained system by a process of selection of noiseless subsystems when the system is coupled to an external…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Tomasz Konopka , Fotini Markopoulou

The problem of state reconstruction is considered for uncertain linear time-invariant systems with overparameterization, arbitrary state-space matrices and unknown additive perturbation described by an exosystem. A novel adaptive observer…

Systems and Control · Electrical Eng. & Systems 2024-03-14 Anton Glushchenko , Konstantin Lastochkin

In all but special circumstances, measurements of time-dependent processes reflect internal structures and correlations only indirectly. Building predictive models of such hidden information sources requires discovering, in some way, the…

Probability · Mathematics 2009-11-10 Nihat Ay , James P. Crutchfield

Recurrent Neural Networks are an effective and prevalent tool used to model sequential data such as natural language text. However, their deep nature and massive number of parameters pose a challenge for those intending to study precisely…

Computation and Language · Computer Science 2020-08-18 Lindsey Sawatzky , Steven Bergner , Fred Popowich

The vast complexity is a daunting property of generic quantum states that poses a significant challenge for theoretical treatment, especially in non-equilibrium setups. Therefore, it is vital to recognize states which are locally less…

Quantum Physics · Physics 2022-07-28 Markus Schmitt , Zala Lenarčič

We study a simple unsupervised regularization scheme for autoencoders called Manifold-Matching (MMAE): we align the pairwise distances in the latent space to those of the input data space by minimizing mean squared error. Because alignment…

Machine Learning · Computer Science 2026-03-18 Laurent Cheret , Vincent Létourneau , Isar Nejadgholi , Chris Drummond , Hussein Al Osman , Maia Fraser

Quantum autoencoder is an efficient variational quantum algorithm for quantum data compression. However, previous quantum autoencoders fail to compress and recover high-rank mixed states. In this work, we discuss the fundamental properties…

Quantum Physics · Physics 2021-05-07 Chenfeng Cao , Xin Wang

System identification in scenarios where the observed number of variables is less than the degrees of freedom in the dynamics is an important challenge. In this work we tackle this problem by using a recognition network to increase the…

Computational Physics · Physics 2020-10-14 Constantino A. Garcia , Paulo Felix , Jesus M. Presedo , Abraham Otero

Time series anomaly detection is important in modern large-scale systems and is applied in a variety of domains to analyze and monitor the operation of diverse systems. Unsupervised approaches have received widespread interest, as they do…

Machine Learning · Computer Science 2025-10-23 Buang Zhang , Tung Kieu , Xiangfei Qiu , Chenjuan Guo , Jilin Hu , Aoying Zhou , Christian S. Jensen , Bin Yang

Anomalies in time-series provide insights of critical scenarios across a range of industries, from banking and aerospace to information technology, security, and medicine. However, identifying anomalies in time-series data is particularly…

Machine Learning · Computer Science 2022-08-31 Wadie Skaf , Tomáš Horváth

Abstract This project presents a system of neural networks to translate between images and melodies. Autoencoders compress the information in samples to abstract representation. A translation network learns a set of correspondences between…

Computer Vision and Pattern Recognition · Computer Science 2021-12-07 Karl Wienand , Wolfgang M. Heckl

Specifying a governing physical model in the presence of missing physics and recovering its parameters are two intertwined and fundamental problems in science. Modern machine learning allows one to circumvent these, via emulators and…

Machine Learning · Computer Science 2020-06-30 Daniel J. Tait , Theodoros Damoulas

We introduce a framework for the reconstruction and representation of functions in a setting where these objects cannot be directly observed, but only indirect and noisy measurements are available, namely an inverse problem setting. The…

Methodology · Statistics 2020-09-15 Eardi Lila , Simon Arridge , John A. D. Aston

Autoencoders are certainly among the most studied and used Deep Learning models: the idea behind them is to train a model in order to reconstruct the same input data. The peculiarity of these models is to compress the information through a…

Machine Learning · Computer Science 2023-09-06 Gabriele Martino , Davide Moroni , Massimo Martinelli

While many phenomena in physics and engineering are formally high-dimensional, their long-time dynamics often live on a lower-dimensional manifold. The present work introduces an autoencoder framework that combines implicit regularization…

Machine Learning · Computer Science 2023-12-07 Kevin Zeng , Carlos E. Pérez De Jesús , Andrew J. Fox , Michael D. Graham

This work introduces a neural architecture for learning forward models of stochastic environments. The task is achieved solely through learning from temporal unstructured observations in the form of images. Once trained, the model allows…

Machine Learning · Computer Science 2021-12-16 Marian Andrecki , Nicholas K. Taylor

Identifying the underlying dynamics of physical systems can be challenging when only provided with observational data. In this work, we consider systems that can be modelled as first-order ordinary differential equations. By assuming a…

Systems and Control · Electrical Eng. & Systems 2024-01-03 Sigurd Holmsen , Sølve Eidnes , Signe Riemer-Sørensen