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The Variational Autoencoder (VAE) is a seminal approach in deep generative modeling with latent variables. Interpreting its reconstruction process as a nonlinear transformation of samples from the latent posterior distribution, we apply the…

Machine Learning · Computer Science 2023-06-09 Faris Janjoš , Lars Rosenbaum , Maxim Dolgov , J. Marius Zöllner

The rise of deep learning applications in the fashion industry has fueled advances in curating large-scale datasets to build applications for product design, image retrieval, and recommender systems. In this paper, the author proposes using…

Computer Vision and Pattern Recognition · Computer Science 2020-09-03 James-Andrew Sarmiento

In data-driven drug discovery, designing molecular descriptors is a very important task. Deep generative models such as variational autoencoders (VAEs) offer a potential solution by designing descriptors as probabilistic latent vectors…

Machine Learning · Computer Science 2023-08-23 Daiki Koge , Naoaki Ono , Shigehiko Kanaya

Generative Adversarial Nets (GANs) and Variational Auto-Encoders (VAEs) provide impressive image generations from Gaussian white noise, but the underlying mathematics are not well understood. We compute deep convolutional network generators…

Machine Learning · Computer Science 2018-05-18 Tomás Angles , Stéphane Mallat

Recent advances in generative AI offer promising solutions for synthetic data generation but often rely on large datasets for effective training. To address this limitation, we propose a novel generative model that learns from limited data…

Machine Learning · Statistics 2025-05-27 Michail Spitieris , Massimiliano Ruocco , Abdulmajid Murad , Alessandro Nocente

Generative models have emerged as powerful tools in medical imaging, enabling tasks such as segmentation, anomaly detection, and high-quality synthetic data generation. These models typically rely on learning meaningful latent…

Computer Vision and Pattern Recognition · Computer Science 2026-02-17 Jordi Malé , Juan Fortea , Mateus Rozalem-Aranha , Neus Martínez-Abadías , Xavier Sevillano

Diffusion probabilistic models have been shown to generate state-of-the-art results on several competitive image synthesis benchmarks but lack a low-dimensional, interpretable latent space, and are slow at generation. On the other hand,…

Machine Learning · Computer Science 2022-11-30 Kushagra Pandey , Avideep Mukherjee , Piyush Rai , Abhishek Kumar

Deep generative models provide a systematic way to learn nonlinear data distributions, through a set of latent variables and a nonlinear "generator" function that maps latent points into the input space. The nonlinearity of the generator…

Machine Learning · Statistics 2021-12-14 Georgios Arvanitidis , Lars Kai Hansen , Søren Hauberg

Modern generative models are usually designed to match target distributions directly in the data space, where the intrinsic dimension of data can be much lower than the ambient dimension. We argue that this discrepancy may contribute to the…

Machine Learning · Computer Science 2020-07-02 Zijun Zhang , Ruixiang Zhang , Zongpeng Li , Yoshua Bengio , Liam Paull

Deep generative models such as diffusion and flow matching are powerful machine learning tools capable of learning and sampling from high-dimensional distributions. They are particularly useful when the training data appears to be…

High Energy Physics - Phenomenology · Physics 2026-04-30 Zachary Bogorad , Ibrahim Elsharkawy , Yonatan Kahn , Andrew J. Larkoski , Noam Levi

By composing graphical models with deep learning architectures, we learn generative models with the strengths of both frameworks. The structured variational autoencoder (SVAE) inherits structure and interpretability from graphical models,…

Machine Learning · Computer Science 2023-11-15 Harry Bendekgey , Gabriel Hope , Erik B. Sudderth

The high dimensionality of images presents architecture and sampling-efficiency challenges for likelihood-based generative models. Previous approaches such as VQ-VAE use deep autoencoders to obtain compact representations, which are more…

Computer Vision and Pattern Recognition · Computer Science 2021-03-08 Charlie Nash , Jacob Menick , Sander Dieleman , Peter W. Battaglia

Popular generative model learning methods such as Generative Adversarial Networks (GANs), and Variational Autoencoders (VAE) enforce the latent representation to follow simple distributions such as isotropic Gaussian. In this paper, we…

Machine Learning · Computer Science 2018-03-15 Cem Subakan , Oluwasanmi Koyejo , Paris Smaragdis

Generative modeling frameworks have emerged as an effective approach to capture high-dimensional image distributions from large datasets without requiring domain-specific knowledge, a capability essential for longitudinal disease…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Ayantika Das , Arunima Sarkar , Keerthi Ram , Mohanasankar Sivaprakasam

Generative models aim to learn the distribution of observed data by generating new instances. With the advent of neural networks, deep generative models, including variational autoencoders (VAEs), generative adversarial networks (GANs), and…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Zifan Shi , Sida Peng , Yinghao Xu , Andreas Geiger , Yiyi Liao , Yujun Shen

Multimodal Variational Autoencoders have emerged as a popular tool to extract effective representations from rich multimodal data. However, such models rely on fusion strategies in latent space that destroy the joint statistical structure…

Machine Learning · Computer Science 2026-03-03 Federico Caretti , Guido Sanguinetti

The modern aerodynamic optimization has a strong demand for parametric methods with high levels of intuitiveness, flexibility, and representative accuracy, which cannot be fully achieved through traditional airfoil parametric techniques. In…

Fluid Dynamics · Physics 2023-05-08 Hairun Xie , Jing Wang , Miao Zhang

Deep generative models often perform poorly in real-world applications due to the heterogeneity of natural data sets. Heterogeneity arises from data containing different types of features (categorical, ordinal, continuous, etc.) and…

Machine Learning · Computer Science 2020-06-23 Chao Ma , Sebastian Tschiatschek , José Miguel Hernández-Lobato , Richard Turner , Cheng Zhang

Polymer matrix composites embedded with conductive particles are widely utilized for applications that demand stringent control of the effective electrical resistance (or conductivity) of the material. This property is highly sensitive to…

Applied Physics · Physics 2025-07-01 Vinit Vijay Deshpande , Pascal Alexander Happ , Romana Piat

Variational auto-encoders (VAEs) provide an attractive solution to image generation problem. However, they tend to produce blurred and over-smoothed images due to their dependence on pixel-wise reconstruction loss. This paper introduces a…

Computer Vision and Pattern Recognition · Computer Science 2018-04-30 Salman H. Khan , Munawar Hayat , Nick Barnes