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We would like to learn a representation of the data which decomposes an observation into factors of variation which we can independently control. Specifically, we want to use minimal supervision to learn a latent representation that…

Machine Learning · Computer Science 2017-05-25 Diane Bouchacourt , Ryota Tomioka , Sebastian Nowozin

The reconstruction loss and the Kullback-Leibler divergence (KLD) loss in a variational autoencoder (VAE) often play antagonistic roles, and tuning the weight of the KLD loss in $\beta$-VAE to achieve a balance between the two losses is a…

Computer Vision and Pattern Recognition · Computer Science 2022-09-30 Jianning Li , Jana Fragemann , Seyed-Ahmad Ahmadi , Jens Kleesiek , Jan Egger

A common failure mode of density models trained as variational autoencoders is to model the data without relying on their latent variables, rendering these variables useless. Two contributing factors, the underspecification of the model and…

Machine Learning · Statistics 2022-05-10 Gábor Melis , András György , Phil Blunsom

We decompose the Kullback--Leibler generalization error (GE) -- the expected KL divergence from the data distribution to the trained model -- of unsupervised learning into three non-negative components: model error, data bias, and variance.…

Machine Learning · Statistics 2026-04-15 Gilhan Kim

Variational autoencoders (VAEs) have recently been used for unsupervised disentanglement learning of complex density distributions. Numerous variants exist to encourage disentanglement in latent space while improving reconstruction.…

Machine Learning · Statistics 2022-06-10 Kenneth Ezukwoke , Anis Hoayek , Mireille Batton-Hubert , Xavier Boucher

Learning disentanglement aims at finding a low dimensional representation which consists of multiple explanatory and generative factors of the observational data. The framework of variational autoencoder (VAE) is commonly used to…

Machine Learning · Computer Science 2023-12-20 Mengyue Yang , Furui Liu , Zhitang Chen , Xinwei Shen , Jianye Hao , Jun Wang

Conflicting objectives present a considerable challenge in interleaving multi-task learning, necessitating the need for meticulous design and balance to ensure effective learning of a representative latent data space across all tasks…

Machine Learning · Computer Science 2025-01-17 Noelle Y. L. Wong , Eng Yeow Cheu , Zhonglin Chiam , Dipti Srinivasan

Variational autoencoders (VAEs) are one class of generative probabilistic latent-variable models designed for inference based on known data. They balance reconstruction and regularizer terms. A variational approximation produces an evidence…

Machine Learning · Statistics 2023-12-13 Robert I. Cukier

A large part of the literature on learning disentangled representations focuses on variational autoencoders (VAE). Recent developments demonstrate that disentanglement cannot be obtained in a fully unsupervised setting without inductive…

Machine Learning · Computer Science 2021-02-11 Graziano Mita , Maurizio Filippone , Pietro Michiardi

We investigate the phenomenon of posterior collapse in variational autoencoders (VAEs) from the perspective of statistical physics, and reveal that it constitutes a phase transition governed jointly by data structure and model…

Machine Learning · Computer Science 2025-12-25 Zhen Li , Fan Zhang , Zheng Zhang , Yu Chen

In the field of machine learning, it is still a critical issue to identify and supervise the learned representation without manually intervening or intuition assistance to extract useful knowledge or serve for the downstream tasks. In this…

Machine Learning · Computer Science 2025-12-10 Shiqi Liu , Jingxin Liu , Qian Zhao , Xiangyong Cao , Huibin Li , Deyu Meng , Hongying Meng , Sheng Liu

Evaluating and interpreting latent representations, such as variational autoencoders (VAEs), remains a significant challenge for diverse data types, especially when ground-truth generative factors are unknown. To address this, we propose a…

Machine Learning · Statistics 2026-03-13 Xiaoan Lang , Fang Liu

Disentangled representation learning aims to map independent factors of variation to independent representation components. On one hand, purely unsupervised approaches have proven successful on fully disentangled synthetic data, but fail to…

Machine Learning · Computer Science 2026-01-30 Alexandre Myara , Nicolas Bourriez , Thomas Boyer , Thomas Lemercier , Ihab Bendidi , Auguste Genovesio

Disentanglement is at the forefront of unsupervised learning, as disentangled representations of data improve generalization, interpretability, and performance in downstream tasks. Current unsupervised approaches remain inapplicable for…

Machine Learning · Computer Science 2020-10-27 Benjamin Estermann , Markus Marks , Mehmet Fatih Yanik

We deal with the problem of learning the underlying disentangled latent factors that are shared between the paired bi-modal data in cross-modal retrieval. Our assumption is that the data in both modalities are complex, structured, and high…

Machine Learning · Computer Science 2020-12-02 Minyoung Kim , Ricardo Guerrero , Vladimir Pavlovic

We show that posterior collapse in $\beta$-VAEs implements automatic spectral pruning. A latent mode collapses if its contribution to reconstruction is below the cutoff set by $\beta$. Equilibrium solutions with different $\beta$ thus…

Machine Learning · Computer Science 2026-05-22 Johannes Hirn

The variational autoencoder (VAE) is a well-studied, deep, latent-variable model (DLVM) that efficiently optimizes the variational lower bound of the log marginal data likelihood and has a strong theoretical foundation. However, the VAE's…

Machine Learning · Computer Science 2024-10-08 Surojit Saha , Sarang Joshi , Ross Whitaker

Variational Autoencoders (VAEs) have become a cornerstone in generative modeling and representation learning within machine learning. This paper explores a nuanced aspect of VAEs, focusing on interpreting the Kullback-Leibler (KL)…

Machine Learning · Computer Science 2024-06-25 Mariano Rivera

Improving controllability or the ability to manipulate one or more attributes of the generated data has become a topic of interest in the context of deep generative models of music. Recent attempts in this direction have relied on learning…

Sound · Computer Science 2021-08-04 Ashis Pati , Alexander Lerch

The ability to recognize objects despite there being differences in appearance, known as Core Object Recognition, forms a critical part of human perception. While it is understood that the brain accomplishes Core Object Recognition through…

Machine Learning · Computer Science 2020-05-15 Harshvardhan Sikka