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In this work we study Variational Autoencoders (VAEs) from the perspective of harmonic analysis. By viewing a VAE's latent space as a Gaussian Space, a variety of measure space, we derive a series of results that show that the encoder…

Machine Learning · Statistics 2022-04-26 Alexander Camuto , Matthew Willetts

A variational autoencoder (VAE) is a probabilistic machine learning framework for posterior inference that projects an input set of high-dimensional data to a lower-dimensional, latent space. The latent space learned with a VAE offers…

Machine Learning · Computer Science 2022-11-16 Rafael Pastrana

This paper proposes a new model for music prediction based on Variational Autoencoders (VAEs). In this work, VAEs are used in a novel way in order to address two different problems: music representation into the latent space, and using this…

Sound · Computer Science 2019-06-25 Daniel Rivero , Enrique Fernandez-Blanco , Alejandro Pazos

The Variational Autoencoder (VAE) has proven to be an effective model for producing semantically meaningful latent representations for natural data. However, it has thus far seen limited application to sequential data, and, as we…

Machine Learning · Computer Science 2019-11-12 Adam Roberts , Jesse Engel , Colin Raffel , Curtis Hawthorne , Douglas Eck

This study investigates the use of non-linear unsupervised dimensionality reduction techniques to compress a music dataset into a low-dimensional representation which can be used in turn for the synthesis of new sounds. We systematically…

Audio and Speech Processing · Electrical Eng. & Systems 2019-05-27 Fanny Roche , Thomas Hueber , Samuel Limier , Laurent Girin

The research in Deep Learning applications in sound and music computing have gathered an interest in the recent years; however, there is still a missing link between these new technologies and on how they can be incorporated into real-world…

Sound · Computer Science 2023-06-21 Kıvanç Tatar , Kelsey Cotton , Daniel Bisig

Variational Autoencoders (VAEs) are well-established as a principled approach to probabilistic unsupervised learning with neural networks. Typically, an encoder network defines the parameters of a Gaussian distributed latent space from…

Machine Learning · Computer Science 2025-05-16 Alan Jeffares , Liyuan Liu

Variational autoencoders (VAEs) are powerful deep generative models widely used to represent high-dimensional complex data through a low-dimensional latent space learned in an unsupervised manner. In the original VAE model, the input data…

Machine Learning · Computer Science 2022-07-05 Laurent Girin , Simon Leglaive , Xiaoyu Bie , Julien Diard , Thomas Hueber , Xavier Alameda-Pineda

We present a comparative evaluation of latent space organization in three Variational Autoencoders (VAEs) for musical timbre generation: an unsupervised VAE, a descriptor-conditioned VAE, and a VAE conditioned on continuous perceptual…

Sound · Computer Science 2026-03-18 Joseph Cameron , Alan Blackwell

The variational autoencoder (VAE) is a popular probabilistic generative model. However, one shortcoming of VAEs is that the latent variables cannot be discrete, which makes it difficult to generate data from different modes of a…

Machine Learning · Statistics 2017-11-21 Jay A. Hennig , Akash Umakantha , Ryan C. Williamson

Variational auto-encoders (VAEs) have proven to be a well suited tool for performing dimensionality reduction by extracting latent variables lying in a potentially much smaller dimensional space than the data. Their ability to capture…

Machine Learning · Statistics 2020-10-23 Clément Chadebec , Clément Mantoux , Stéphanie Allassonnière

Variational Autoencoders (VAEs) are powerful generative models for learning latent representations. Standard VAEs generate dispersed and unstructured latent spaces by utilizing all dimensions, which limits their interpretability, especially…

Computer Vision and Pattern Recognition · Computer Science 2025-05-21 Farshad Sangari Abiz , Reshad Hosseini , Babak N. Araabi

Achieving precise semantic control over the latent spaces of Variational AutoEncoders (VAEs) holds significant value for downstream tasks in NLP as the underlying generative mechanisms could be better localised, explained and improved upon.…

Computation and Language · Computer Science 2024-02-02 Yingji Zhang , Danilo S. Carvalho , Marco Valentino , Ian Pratt-Hartmann , Andre Freitas

Cross-modal retrieval is to utilize one modality as a query to retrieve data from another modality, which has become a popular topic in information retrieval, machine learning, and database. How to effectively measure the similarity between…

Information Retrieval · Computer Science 2021-12-07 Jiwei Zhang , Yi Yu , Suhua Tang , Jianming Wu , Wei Li

Understanding the structure of complex, nonstationary, high-dimensional time-evolving signals is a central challenge in scientific data analysis. In many domains, such as speech and biomedical signal processing, the ability to learn…

Machine Learning · Computer Science 2026-01-13 Ioannis Ziogas , Aamna Al Shehhi , Ahsan H. Khandoker , Leontios J. Hadjileontiadis

This paper presents an accurate phoneme alignment model that aims for speech analysis and video content creation. We propose a variational autoencoder (VAE)-based alignment model in which a probable path is searched using encoded acoustic…

Audio and Speech Processing · Electrical Eng. & Systems 2024-09-26 Tomoki Koriyama

Variational Auto-Encoders (VAEs) are capable of learning latent representations for high dimensional data. However, due to the i.i.d. assumption, VAEs only optimize the singleton variational distributions and fail to account for the…

Machine Learning · Computer Science 2020-04-20 Da Tang , Dawen Liang , Tony Jebara , Nicholas Ruozzi

Understanding the latent spaces learned by deep learning models is crucial in exploring how they represent and generate complex data. Autoencoders (AEs) have played a key role in the area of representation learning, with numerous…

Machine Learning · Computer Science 2025-01-17 Anika Shrivastava , Renu Rameshan , Samar Agnihotri

In this paper, we provide the first focused study on the discontinuities (aka. holes) in the latent space of Variational Auto-Encoders (VAEs), a phenomenon which has been shown to have a detrimental effect on model capacity. When…

Machine Learning · Computer Science 2021-10-08 Ruizhe Li , Xutan Peng , Chenghua Lin

Variational autoencoders (VAEs) have been used extensively to discover low-dimensional latent factors governing neural activity and animal behavior. However, without careful model selection, the uncovered latent factors may reflect noise in…

Machine Learning · Computer Science 2023-12-13 Julia Huiming Wang , Dexter Tsin , Tatiana Engel
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