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We propose a framework for learning maps between probability distributions that broadly generalizes the time dynamics of flow and diffusion models. To enable this, we generalize stochastic interpolants by replacing the scalar time variable…

Machine Learning · Computer Science 2026-02-26 Hugo Negrel , Florentin Coeurdoux , Michael S. Albergo , Eric Vanden-Eijnden

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

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

Recent advances in Image Restoration (IR) have been largely driven by generative methods such as Diffusion Models and Flow Matching, which excel in synthesizing realistic textures while suffering from slow multi-step inference and…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 Yi Liu , Jia Ma , Wengen Li , Jihong Guan , Shuigeng Zhou , Yichao Zhang

The stochastic interpolant framework offers a powerful approach for constructing generative models based on ordinary differential equations (ODEs) or stochastic differential equations (SDEs) to transform arbitrary data distributions.…

Machine Learning · Computer Science 2025-07-29 Yuhao Liu , Yu Chen , Rui Hu , Longbo Huang

Pixel-space generative models are often more difficult to train and generally underperform compared to their latent-space counterparts, leaving a persistent performance and efficiency gap. In this paper, we introduce a novel two-stage…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Jiachen Lei , Keli Liu , Julius Berner , Haiming Yu , Hongkai Zheng , Jiahong Wu , Xiangxiang Chu

Recent progress in image generation has sparked research into controlling these models through condition signals, with various methods addressing specific challenges in conditional generation. Instead of proposing another specialized…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Xirui Li , Charles Herrmann , Kelvin C. K. Chan , Yinxiao Li , Deqing Sun , Chao Ma , Ming-Hsuan Yang

The image-to-image generation task aims to produce controllable images by leveraging conditional inputs and prompt instructions. However, existing methods often train separate control branches for each type of condition, leading to…

Computer Vision and Pattern Recognition · Computer Science 2025-12-16 Guoqing Zhang , Xingtong Ge , Lu Shi , Xin Zhang , Muqing Xue , Wanru Xu , Yigang Cen , Yidong Li

Generative models have recently emerged as powerful surrogates for physical systems, demonstrating increased accuracy, stability, and/or statistical fidelity. Most approaches rely on iteratively denoising a Gaussian, a choice that may not…

Machine Learning · Computer Science 2025-10-01 Anthony Zhou , Alexander Wikner , Amaury Lancelin , Pedram Hassanzadeh , Amir Barati Farimani

Variational autoencoders (VAEs), that are built upon deep neural networks have emerged as popular generative models in computer vision. Most of the work towards improving variational autoencoders has focused mainly on making the…

Machine Learning · Statistics 2016-11-17 Siddharth Agrawal , Ambedkar Dukkipati

It is a known problem that deep-learning-based end-to-end (E2E) channel coding systems depend on a known and differentiable channel model, due to the learning process and based on the gradient-descent optimization methods. This places the…

Information Theory · Computer Science 2023-11-30 Muah Kim , Rick Fritschek , Rafael F. Schaefer

In recent years, diffusion models have gained popularity for their ability to generate higher-quality images in comparison to GAN models. However, like any other large generative models, these models require a huge amount of data,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-21 Rajesh Shrestha , Bowen Xie

We present a conditional variational auto-encoder (VAE) which, to avoid the substantial cost of training from scratch, uses an architecture and training objective capable of leveraging a foundation model in the form of a pretrained…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 William Harvey , Saeid Naderiparizi , Frank Wood

Although variational autoencoders (VAEs) represent a widely influential deep generative model, many aspects of the underlying energy function remain poorly understood. In particular, it is commonly believed that Gaussian encoder/decoder…

Machine Learning · Computer Science 2019-10-31 Bin Dai , David Wipf

Variational autoencoders (VAE) represent a popular, flexible form of deep generative model that can be stochastically fit to samples from a given random process using an information-theoretic variational bound on the true underlying…

Machine Learning · Computer Science 2019-10-08 Bin Dai , Yu Wang , John Aston , Gang Hua , David Wipf

A class of generative models that unifies flow-based and diffusion-based methods is introduced. These models extend the framework proposed in Albergo and Vanden-Eijnden (2023), enabling the use of a broad class of continuous-time stochastic…

Machine Learning · Computer Science 2025-10-10 Michael S. Albergo , Nicholas M. Boffi , Eric Vanden-Eijnden

Variational autoencoders (VAE) are a powerful and widely-used class of models to learn complex data distributions in an unsupervised fashion. One important limitation of VAEs is the prior assumption that latent sample representations are…

Machine Learning · Computer Science 2018-11-27 Francesco Paolo Casale , Adrian V Dalca , Luca Saglietti , Jennifer Listgarten , Nicolo Fusi

Multi-modal data-sets are ubiquitous in modern applications, and multi-modal Variational Autoencoders are a popular family of models that aim to learn a joint representation of the different modalities. However, existing approaches suffer…

Machine Learning · Computer Science 2023-12-19 Mustapha Bounoua , Giulio Franzese , Pietro Michiardi

Pixel diffusion aims to generate images directly in pixel space in an end-to-end fashion. This approach avoids the limitations of VAE in the two-stage latent diffusion, offering higher model capacity. Existing pixel diffusion models suffer…

Computer Vision and Pattern Recognition · Computer Science 2026-04-09 Zehong Ma , Longhui Wei , Shuai Wang , Shiliang Zhang , Qi Tian

A key advance in learning generative models is the use of amortized inference distributions that are jointly trained with the models. We find that existing training objectives for variational autoencoders can lead to inaccurate amortized…

Machine Learning · Computer Science 2018-05-31 Shengjia Zhao , Jiaming Song , Stefano Ermon