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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

Supervised learning in function spaces is an emerging area of machine learning research with applications to the prediction of complex physical systems such as fluid flows, solid mechanics, and climate modeling. By directly learning maps…

Machine Learning · Computer Science 2022-06-09 Jacob H. Seidman , Georgios Kissas , Paris Perdikaris , George J. Pappas

The autoencoder is an effective unsupervised learning model which is widely used in deep learning. It is well known that an autoencoder with a single fully-connected hidden layer, a linear activation function and a squared error cost…

Machine Learning · Statistics 2019-01-01 Elad Plaut

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

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

Autoencoders are unsupervised deep learning models used for learning representations. In literature, autoencoders have shown to perform well on a variety of tasks spread across multiple domains, thereby establishing widespread…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Maneet Singh , Shruti Nagpal , Mayank Vatsa , Richa Singh , Afzel Noore

Physics-constrained data-driven computing is an emerging computational paradigm that allows simulation of complex materials directly based on material database and bypass the classical constitutive model construction. However, it remains…

Numerical Analysis · Mathematics 2022-09-12 Xiaolong He , Qizhi He , Jiun-Shyan Chen

Learning compressed representations of multivariate time series (MTS) facilitates data analysis in the presence of noise and redundant information, and for a large number of variates and time steps. However, classical dimensionality…

Neural and Evolutionary Computing · Computer Science 2019-07-17 Filippo Maria Bianchi , Lorenzo Livi , Karl Øyvind Mikalsen , Michael Kampffmeyer , Robert Jenssen

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

When dealing with clinical text classification on a small dataset recent studies have confirmed that a well-tuned multilayer perceptron outperforms other generative classifiers, including deep learning ones. To increase the performance of…

Machine Learning · Computer Science 2022-09-27 Thanh-Dung Le , Rita Noumeir , Jerome Rambaud , Guillaume Sans , Philippe Jouvet

Multimodal Language Analysis is a demanding area of research, since it is associated with two requirements: combining different modalities and capturing temporal information. During the last years, several works have been proposed in the…

Computation and Language · Computer Science 2022-01-10 Panagiotis Koromilas , Theodoros Giannakopoulos

Representation of data on mixed variables, numerical and categorical types to get suitable feature map is a challenging task as important information lies in a complex non-linear manifold. The feature transformation should be able to…

Machine Learning · Computer Science 2020-09-22 Saswata Sahoo , Souradip Chakraborty

Using representations of functional data can be more convenient and beneficial in subsequent statistical models than direct observations. These representations, in a lower-dimensional space, extract and compress information from individual…

Machine Learning · Statistics 2022-06-24 Haixu Wang , Jiguo Cao

This work investigates three methods for calculating loss for autoencoder-based pretraining of image encoders: The commonly used reconstruction loss, the more recently introduced deep perceptual similarity loss, and a feature prediction…

Computer Vision and Pattern Recognition · Computer Science 2021-05-19 Gustav Grund Pihlgren , Fredrik Sandin , Marcus Liwicki

Function encoders are a recent technique that learn neural network basis functions to form compact, adaptive representations of Hilbert spaces of functions. We show that function encoders provide a principled connection to feature learning…

Machine Learning · Computer Science 2025-09-26 Su Ann Low , Quentin Rommel , Kevin S. Miller , Adam J. Thorpe , Ufuk Topcu

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

Molecular dynamics simulations produce data with complex nonlinear dynamics. If the timestep behavior of such a dynamic system can be represented by a linear operator, future states can be inferred directly without expensive simulations.…

Machine Learning · Computer Science 2021-05-27 Willis Hoke , Daniel Shea , Stephen Casey

In autonomous embedded systems, it is often vital to reduce the amount of actions taken in the real world and energy required to learn a policy. Training reinforcement learning agents from high dimensional image representations can be very…

Machine Learning · Computer Science 2019-03-26 Bharat Prakash , Mark Horton , Nicholas R. Waytowich , William David Hairston , Tim Oates , Tinoosh Mohsenin

Textual graphs are ubiquitous in real-world applications, featuring rich text information with complex relationships, which enables advanced research across various fields. Textual graph representation learning aims to generate…

Machine Learning · Computer Science 2024-08-22 Wenbin Hu , Huihao Jing , Qi Hu , Haoran Li , Yangqiu Song

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