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We employ unsupervised machine learning techniques to learn latent parameters which best describe states of the two-dimensional Ising model and the three-dimensional XY model. These methods range from principal component analysis to…

Statistical Mechanics · Physics 2017-08-23 Sebastian Johann Wetzel

Autoencoders are a popular model in many branches of machine learning and lossy data compression. However, their fundamental limits, the performance of gradient methods and the features learnt during optimization remain poorly understood,…

Machine Learning · Computer Science 2023-01-12 Alexander Shevchenko , Kevin Kögler , Hamed Hassani , Marco Mondelli

Learning useful representations with little or no supervision is a key challenge in artificial intelligence. We provide an in-depth review of recent advances in representation learning with a focus on autoencoder-based models. To organize…

Machine Learning · Computer Science 2018-12-13 Michael Tschannen , Olivier Bachem , Mario Lucic

Autoencoders learn data representations (codes) in such a way that the input is reproduced at the output of the network. However, it is not always clear what kind of properties of the input data need to be captured by the codes. Kernel…

Machine Learning · Statistics 2018-07-24 Michael Kampffmeyer , Sigurd Løkse , Filippo M. Bianchi , Robert Jenssen , Lorenzo Livi

The unification of low-level perception and high-level reasoning is a long-standing problem in artificial intelligence, which has the potential to not only bring the areas of logic and learning closer together but also demonstrate how…

Artificial Intelligence · Computer Science 2019-11-27 Anton Fuxjaeger , Vaishak Belle

Increasingly many real world tasks involve data in multiple modalities or views. This has motivated the development of many effective algorithms for learning a common latent space to relate multiple domains. However, most existing…

Computer Vision and Pattern Recognition · Computer Science 2017-11-17 Tanmoy Mukherjee , Makoto Yamada , Timothy M. Hospedales

In this article, we will look at autoencoders. This article covers the mathematics and the fundamental concepts of autoencoders. We will discuss what they are, what the limitations are, the typical use cases, and we will look at some…

Machine Learning · Computer Science 2022-01-12 Umberto Michelucci

Artificial neural networks have become important to improve the search for admissible string compactifications and characterize them. In this paper we construct the heterotic orbiencoder, a general deep autoencoder to study heterotic…

High Energy Physics - Theory · Physics 2024-01-31 Enrique Escalante-Notario , Ignacio Portillo-Castillo , Saul Ramos-Sanchez

We propose split-brain autoencoders, a straightforward modification of the traditional autoencoder architecture, for unsupervised representation learning. The method adds a split to the network, resulting in two disjoint sub-networks. Each…

Computer Vision and Pattern Recognition · Computer Science 2017-04-21 Richard Zhang , Phillip Isola , Alexei A. Efros

Unsupervised discovery of latent representations, in addition to being useful for density modeling, visualisation and exploratory data analysis, is also increasingly important for learning features relevant to discriminative tasks.…

Machine Learning · Statistics 2011-10-27 Jasper Snoek , Ryan Prescott Adams , Hugo Larochelle

The framework of variational autoencoders allows us to efficiently learn deep latent-variable models, such that the model's marginal distribution over observed variables fits the data. Often, we're interested in going a step further, and…

Machine Learning · Statistics 2020-12-22 Ilyes Khemakhem , Diederik P. Kingma , Ricardo Pio Monti , Aapo Hyvärinen

Learning latent representations of registered meshes is useful for many 3D tasks. Techniques have recently shifted to neural mesh autoencoders. Although they demonstrate higher precision than traditional methods, they remain unable to…

Computer Vision and Pattern Recognition · Computer Science 2020-10-22 Yi Zhou , Chenglei Wu , Zimo Li , Chen Cao , Yuting Ye , Jason Saragih , Hao Li , Yaser Sheikh

Sensor and control data of modern mechatronic systems are often available as heterogeneous time series with different sampling rates and value ranges. Suitable classification and regression methods from the field of supervised machine…

Machine Learning · Computer Science 2021-04-09 Karl-Philipp Kortmann , Moritz Fehsenfeld , Mark Wielitzka

In this work, we propose a novel convolutional autoencoder based architecture to generate subspace specific feature representations that are best suited for classification task. The class-specific data is assumed to lie in low dimensional…

Computer Vision and Pattern Recognition · Computer Science 2021-05-20 Krishan Sharma , Shikha Gupta , Renu Rameshan

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

Autoencoders have been extensively used in the development of recent anomaly detection techniques. The premise of their application is based on the notion that after training the autoencoder on normal training data, anomalous inputs will…

Machine Learning · Computer Science 2024-03-29 Amin Ghafourian , Huanyi Shui , Devesh Upadhyay , Rajesh Gupta , Dimitar Filev , Iman Soltani Bozchalooi

A rapidly growing area of research is the use of machine learning approaches such as autoencoders for dimensionality reduction of data and models in scientific applications. We show that the canonical formulation of autoencoders suffers…

Machine Learning · Computer Science 2022-07-28 Andrey A. Popov , Arash Sarshar , Austin Chennault , Adrian Sandu

Autoencoders are commonly trained using element-wise loss. However, element-wise loss disregards high-level structures in the image which can lead to embeddings that disregard them as well. A recent improvement to autoencoders that helps…

Computer Vision and Pattern Recognition · Computer Science 2020-04-06 Gustav Grund Pihlgren , Fredrik Sandin , Marcus Liwicki

We study the deformation of the input space by a trained autoencoder via the Jacobians of the trained weight matrices. In doing so, we prove bounds for the mean squared errors for points in the input space, under assumptions regarding the…

Machine Learning · Computer Science 2021-07-15 Susama Agarwala , Benjamin Dees , Andrew Gearhart , Corey Lowman

Inspired by the success of deep learning techniques in the physical and chemical sciences, we apply a modification of an autoencoder type deep neural network to the task of dimension reduction of molecular dynamics data. We can show that…

Machine Learning · Statistics 2018-04-04 Christoph Wehmeyer , Frank Noé