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We present a likelihood-free probabilistic inversion method based on normalizing flows for high-dimensional inverse problems. The proposed method is composed of two complementary networks: a summary network for data compression and an…

机器学习 · 计算机科学 2024-12-30 Jice Zeng , Yuanzhe Wang , Alexandre M. Tartakovsky , David Barajas-Solano

Deep generative models are a class of techniques that train deep neural networks to model the distribution of training samples. Research has fragmented into various interconnected approaches, each of which make trade-offs including…

机器学习 · 计算机科学 2022-03-29 Sam Bond-Taylor , Adam Leach , Yang Long , Chris G. Willcocks

Variational Autoencoders are powerful models for unsupervised learning. However deep models with several layers of dependent stochastic variables are difficult to train which limits the improvements obtained using these highly expressive…

A probabilistic machine learning model is introduced to augment the $k-\omega\ SST$ turbulence model in order to improve the modelling of separated flows and the generalisability of learnt corrections. Increasingly, machine learning methods…

计算工程、金融与科学 · 计算机科学 2023-01-24 Joel Ho , Nick Pepper , Tim Dodwell

Regularized Auto-Encoders (RAEs) form a rich class of neural generative models. They effectively model the joint-distribution between the data and the latent space using an Encoder-Decoder combination, with regularization imposed in terms…

机器学习 · 计算机科学 2020-09-22 Arnab Kumar Mondal , Himanshu Asnani , Parag Singla , Prathosh AP

Normalizing Flows explicitly maximize a full-dimensional likelihood on the training data. However, real data is typically only supported on a lower-dimensional manifold leading the model to expend significant compute on modeling noise.…

机器学习 · 计算机科学 2024-06-28 Peter Sorrenson , Felix Draxler , Armand Rousselot , Sander Hummerich , Lea Zimmermann , Ullrich Köthe

We study the problem of self-supervised structured representation learning using autoencoders for downstream tasks such as generative modeling. Unlike most methods which rely on matching an arbitrary, relatively unstructured, prior…

机器学习 · 计算机科学 2024-02-16 Felix Leeb , Guilia Lanzillotta , Yashas Annadani , Michel Besserve , Stefan Bauer , Bernhard Schölkopf

In this manuscript, we consider the problem of learning a flow or diffusion-based generative model parametrized by a two-layer auto-encoder, trained with online stochastic gradient descent, on a high-dimensional target density with an…

机器学习 · 计算机科学 2025-11-11 Hugo Cui , Cengiz Pehlevan , Yue M. Lu

Normalizing flows provide an elegant approach to generative modeling that allows for efficient sampling and exact density evaluation of unknown data distributions. However, current techniques have significant limitations in their…

机器学习 · 计算机科学 2022-06-22 Sahil Sidheekh , Chris B. Dock , Tushar Jain , Radu Balan , Maneesh K. Singh

Inference models are a key component in scaling variational inference to deep latent variable models, most notably as encoder networks in variational auto-encoders (VAEs). By replacing conventional optimization-based inference with a…

机器学习 · 计算机科学 2018-07-26 Joseph Marino , Yisong Yue , Stephan Mandt

Energy-based models (EBMs) are versatile density estimation models that directly parameterize an unnormalized log density. Although very flexible, EBMs lack a specified normalization constant of the model, making the likelihood of the model…

机器学习 · 计算机科学 2024-02-20 Louis Grenioux , Éric Moulines , Marylou Gabrié

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…

机器学习 · 计算机科学 2019-10-31 Bin Dai , David Wipf

Estimating the parameters of mathematical models is a common problem in almost all branches of science. However, this problem can prove notably difficult when processes and model descriptions become increasingly complex and an explicit…

机器学习 · 统计学 2024-02-09 Stefan T. Radev , Ulf K. Mertens , Andreas Voss , Lynton Ardizzone , Ullrich Köthe

In materials science, the challenge of rapid prototyping materials with desired properties often involves extensive experimentation to find suitable microstructures. Additionally, finding microstructures for given properties is typically an…

机器学习 · 计算机科学 2024-05-22 Sébastien Bompas , Stefan Sandfeld

Latent variable generative models have emerged as powerful tools for generative tasks including image and video synthesis. These models are enabled by pretrained autoencoders that map high resolution data into a compressed lower dimensional…

计算机视觉与模式识别 · 计算机科学 2025-06-13 Mohammed Suhail , Carlos Esteves , Leonid Sigal , Ameesh Makadia

Auto-encoders are perhaps the best-known non-probabilistic methods for representation learning. They are conceptually simple and easy to train. Recent theoretical work has shed light on their ability to capture manifold structure, and drawn…

机器学习 · 计算机科学 2015-06-16 Daniel Jiwoong Im , Graham W. Taylor

In just three years, Variational Autoencoders (VAEs) have emerged as one of the most popular approaches to unsupervised learning of complicated distributions. VAEs are appealing because they are built on top of standard function…

机器学习 · 统计学 2021-01-05 Carl Doersch

Devising deep latent variable models for multi-modal data has been a long-standing theme in machine learning research. Multi-modal Variational Autoencoders (VAEs) have been a popular generative model class that learns latent representations…

机器学习 · 统计学 2024-09-25 Marcel Hirt , Domenico Campolo , Victoria Leong , Juan-Pablo Ortega

While Variational Inference (VI) is central to modern generative models like Variational Autoencoders (VAEs) and Denoising Diffusion Models (DDMs), its pedagogical treatment is split across disciplines. In statistics, VI is typically framed…

机器学习 · 统计学 2025-10-22 Yen-Chi Chen

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…

机器学习 · 计算机科学 2018-03-15 Cem Subakan , Oluwasanmi Koyejo , Paris Smaragdis