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Variational auto-encoders (VAE) are scalable and powerful generative models. However, the choice of the variational posterior determines tractability and flexibility of the VAE. Commonly, latent variables are modeled using the normal…

Machine Learning · Computer Science 2017-01-30 Jakub M. Tomczak , Max Welling

One of the fundamental challenges in image restoration is denoising, where the objective is to estimate the clean image from its noisy measurements. To tackle such an ill-posed inverse problem, the existing denoising approaches generally…

Computer Vision and Pattern Recognition · Computer Science 2021-11-12 Lanqing Guo , Siyu Huang , Haosen Liu , Bihan Wen

Reducing token count is crucial for efficient training and inference of latent diffusion models, especially at high resolution. A common strategy is to build high-compression image tokenizers with more channels per token. However, when…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Xin Cai , Zhiyuan You , Zhoutong Zhang , Tianfan Xue

Each training step for a variational autoencoder (VAE) requires us to sample from the approximate posterior, so we usually choose simple (e.g. factorised) approximate posteriors in which sampling is an efficient computation that fully…

Machine Learning · Statistics 2018-05-29 Laurence Aitchison , Vincent Adam , Srinivas C. Turaga

The prevalent convolutional neural network (CNN) based image denoising methods extract features of images to restore the clean ground truth, achieving high denoising accuracy. However, these methods may ignore the underlying distribution of…

Computer Vision and Pattern Recognition · Computer Science 2021-05-12 Yang Liu , Saeed Anwar , Zhenyue Qin , Pan Ji , Sabrina Caldwell , Tom Gedeon

The framework of normalizing flows provides a general strategy for flexible variational inference of posteriors over latent variables. We propose a new type of normalizing flow, inverse autoregressive flow (IAF), that, in contrast to…

Machine Learning · Computer Science 2017-02-01 Diederik P. Kingma , Tim Salimans , Rafal Jozefowicz , Xi Chen , Ilya Sutskever , Max Welling

Image fusion is a fundamental and important task in computer vision, aiming to combine complementary information from different modalities to fuse images. In recent years, diffusion models have made significant developments in the field of…

Computer Vision and Pattern Recognition · Computer Science 2025-09-25 Zirui Wang , Jiayi Zhang , Tianwei Guan , Yuhan Zhou , Xingyuan Li , Minjing Dong , Jinyuan Liu

Normalizing flows are powerful non-parametric statistical models that function as a hybrid between density estimators and generative models. Current learning algorithms for normalizing flows assume that data points are sampled…

Machine Learning · Computer Science 2023-05-31 Matthias Kirchler , Christoph Lippert , Marius Kloft

Flow matching has emerged as a powerful generative framework, with recent few-step methods achieving remarkable inference acceleration. However, we identify a critical yet overlooked limitation: these models suffer from severe diversity…

Machine Learning · Computer Science 2026-04-15 Yexiong Lin , Jia Shi , Shanshan Ye , Wanyu Wang , Yu Yao , Tongliang Liu

Deep Learning based methods have emerged as the indisputable leaders for virtually all image restoration tasks. Especially in the domain of microscopy images, various content-aware image restoration (CARE) approaches are now used to improve…

Computer Vision and Pattern Recognition · Computer Science 2021-03-02 Mangal Prakash , Alexander Krull , Florian Jug

Uncertainty quantification provides quantitative measures on the reliability of candidate solutions of ill-posed inverse problems. Due to their sequential nature, Monte Carlo sampling methods require large numbers of sampling steps for…

Geophysics · Physics 2021-04-14 Ali Siahkoohi , Felix J. Herrmann

Generative modeling has recently achieved remarkable success across image, video, and audio domains, demonstrating powerful capabilities for unified representation learning. Yet speech front-end tasks such as speech enhancement (SE), target…

Audio and Speech Processing · Electrical Eng. & Systems 2025-08-12 Ziqian Wang , Zikai Liu , Yike Zhu , Xingchen Li , Boyi Kang , Jixun Yao , Xianjun Xia , Chuanzeng Huang , Lei Xie

Normalizing flows model complex probability distributions by combining a base distribution with a series of bijective neural networks. State-of-the-art architectures rely on coupling and autoregressive transformations to lift up invertible…

Machine Learning · Computer Science 2021-02-15 Antoine Wehenkel , Gilles Louppe

Latent diffusion models have enabled high-quality video synthesis, yet their inference remains costly and time-consuming. As diffusion transformers become increasingly efficient, the latency bottleneck inevitably shifts to VAE decoders. To…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Lunjie Zhu , Yushi Huang , Xingtong Ge , Yufei Xue , Zhening Liu , Yumeng Zhang , Zehong Lin , Jun Zhang

Flow-based generation in high-dimensional spaces is difficult because velocity prediction requires modeling high-dimensional noise, even when data has strong low-rank structure. We present Asymmetric Flow Modeling (AsymFlow), a…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Hansheng Chen , Jan Ackermann , Minseo Kim , Gordon Wetzstein , Leonidas Guibas

Normalizing flows are generative models that provide tractable density estimation via an invertible transformation from a simple base distribution to a complex target distribution. However, this technique cannot directly model data…

Machine Learning · Statistics 2021-11-15 Brendan Leigh Ross , Jesse C. Cresswell

Sampling from unnormalized densities is analogous to the generative modeling problem, but the target distribution is defined by a known energy function instead of data samples. Because evaluating the energy function is often costly, a…

Machine Learning · Computer Science 2026-05-06 Aaron Havens , Brian Karrer , Neta Shaul

Diffusion-based generative models have achieved state-of-the-art performance for perceptual quality in speech enhancement (SE). However, their iterative nature requires numerous Neural Function Evaluations (NFEs), posing a challenge for…

Diffusion models are widely used for generative tasks across domains. Given a pre-trained diffusion model, it is often desirable to fine-tune it further either to correct for errors in learning or to align with downstream applications.…

Flow matching (FM) learns vector fields by regressing stochastic velocity targets along intermediate distributions $p_t$. We identify a geometric optimization bottleneck in this regression problem: when the covariance $\Sigma_t$ of $p_t$ is…

Machine Learning · Computer Science 2026-05-14 Shadab Ahamed , Eshed Gal , Md Shahriar Rahim Siddiqui , Simon Ghyselincks , Moshe Eliasof , Eldad Haber