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Demonstration of quantum advantage for classical machine learning tasks remains a central goal for quantum technologies and artificial intelligence. Two major bottlenecks to this goal are the high dimensionality of practical datasets and…

Quantum Physics · Physics 2025-10-16 Mohammad Sharifian , Abolfazl Bayat

The high-dimensional data setting, in which p >> n, is a challenging statistical paradigm that appears in many real-world problems. In this setting, learning a compact, low-dimensional representation of the data can substantially help…

Machine Learning · Computer Science 2018-08-07 Micol Marchetti-Bowick , Benjamin J. Lengerich , Ankur P. Parikh , Eric P. Xing

Quantum machine learning aspires to overcome intractability that currently limits its applicability to practical problems. However, quantum machine learning itself is limited by low effective dimensions achievable in state-of-the-art…

Quantum Physics · Physics 2022-01-04 Kunkun Wang , Lei Xiao , Wei Yi , Shi-Ju Ran , Peng Xue

High dimensionality, i.e. data having a large number of variables, tends to be a challenge for most machine learning tasks, including classification. A classifier usually builds a model representing how a set of inputs explain the outputs.…

Machine Learning · Computer Science 2018-03-12 Francisco J. Pulgar , Francisco Charte , Antonio J. Rivera , María J. del Jesus

The answers to many unsolved problems lie in the intractable chemical space of molecules and materials. Machine learning techniques are rapidly growing in popularity as a way to compress and explore chemical space efficiently. One of the…

Chemical Physics · Physics 2020-01-06 John E. Herr , Kevin Koh , Kun Yao , John Parkhill

Autoencoders receive latent models of input data. It was shown in recent works that they also estimate probability density functions of the input. This fact makes using the Bayesian decision theory possible. If we obtain latent models of…

Computer Vision and Pattern Recognition · Computer Science 2018-11-07 Vasily Morzhakov

In order to leverage quantum computers for machine learning tasks such as image classification, careful consideration is required: NISQ-era quantum computers have limitations, which include noise, scalability, read-in and read-out times,…

Quantum Physics · Physics 2024-10-25 Donovan Slabbert , Francesco Petruccione

This paper proposes a novel deep subspace clustering approach which uses convolutional autoencoders to transform input images into new representations lying on a union of linear subspaces. The first contribution of our work is to insert…

Computer Vision and Pattern Recognition · Computer Science 2020-01-24 Mohsen Kheirandishfard , Fariba Zohrizadeh , Farhad Kamangar

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

Using an autoencoder for dimensionality reduction, this paper presents a novel projection-based reduced-order model for eigenvalue problems. Reduced-order modelling relies on finding suitable basis functions which define a low-dimensional…

Numerical Analysis · Mathematics 2022-12-06 Toby Phillips , Claire E. Heaney , Paul N. Smith , Christopher C. Pain

As we continue to find applications where the currently available noisy devices exhibit an advantage over their classical counterparts, the efficient use of quantum resources is highly desirable. The notion of quantum autoencoders was…

Quantum Physics · Physics 2022-07-08 Abhinav Anand , Jakob S. Kottmann , Alán Aspuru-Guzik

High-Energy Physics (HEP) experiments, such as those at the Large Hadron Collider (LHC), generate massive datasets that challenge classical computational limits. Quantum Machine Learning (QML) offers a potential advantage in processing…

Quantum Physics · Physics 2026-01-21 Fatih Maulana

In recent years, Deep Learning has gained popularity for its ability to solve complex classification tasks, increasingly delivering better results thanks to the development of more accurate models, the availability of huge volumes of data…

Autoencoders are commonly used in representation learning. They consist of an encoder and a decoder, which provide a straightforward way to map n-dimensional data in input space to a lower m-dimensional representation space and back. The…

Machine Learning · Computer Science 2021-11-16 Viktoria Schuster , Anders Krogh

Autoencoders enable data dimensionality reduction and a key component of many (deep) learning systems. This short paper introduces a form of Holland's Learning Classifier System (LCS) to perform autoencoding building upon a previously…

Neural and Evolutionary Computing · Computer Science 2019-07-30 Larry Bull

The problem of high-dimensional and large-scale representation of visual data is addressed from an unsupervised learning perspective. The emphasis is put on discrete representations, where the description length can be measured in bits and…

Machine Learning · Computer Science 2019-01-25 Sohrab Ferdowsi

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 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

Motivated by the growing interest in representation learning approaches that uncover the latent structure of high-dimensional data, this work proposes new algorithms for reconstruction-based manifold learning within Reproducing-Kernel…

Machine Learning · Computer Science 2026-05-07 Enrique Feito-Casares , Francisco M. Melgarejo-Meseguer , José-Luis Rojo-Álvarez

Compressed sensing techniques enable efficient acquisition and recovery of sparse, high-dimensional data signals via low-dimensional projections. In this work, we propose Uncertainty Autoencoders, a learning framework for unsupervised…

Machine Learning · Statistics 2019-04-15 Aditya Grover , Stefano Ermon