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We develop a scalable deep non-parametric generative model by augmenting deep Gaussian processes with a recognition model. Inference is performed in a novel scalable variational framework where the variational posterior distributions are…

Machine Learning · Computer Science 2016-03-02 Zhenwen Dai , Andreas Damianou , Javier González , Neil Lawrence

Regularization of inverse problems is of paramount importance in computational imaging. The ability of neural networks to learn efficient image representations has been recently exploited to design powerful data-driven regularizers. While…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Maud Biquard , Marie Chabert , Florence Genin , Christophe Latry , Thomas Oberlin

Variational inference provides a powerful tool for approximate probabilistic in- ference on complex, structured models. Typical variational inference methods, however, require to use inference networks with computationally tractable proba-…

Machine Learning · Statistics 2017-11-01 Qiang Liu , Yihao Feng

Variational Bayes methods approximate the posterior density by a family of tractable distributions whose parameters are estimated by optimisation. Variational approximation is useful when exact inference is intractable or very costly. Our…

Computation · Statistics 2023-08-15 David Gunawan , Robert Kohn , David Nott

Variational inference has become a widely used method to approximate posteriors in complex latent variables models. However, deriving a variational inference algorithm generally requires significant model-specific analysis, and these…

Machine Learning · Statistics 2014-01-03 Rajesh Ranganath , Sean Gerrish , David M. Blei

In this paper, we explore adaptive inference based on variational Bayes. Although several studies have been conducted to analyze the contraction properties of variational posteriors, there is still a lack of a general and computationally…

Statistics Theory · Mathematics 2024-03-12 Ilsang Ohn , Lizhen Lin

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…

Machine Learning · Computer Science 2018-07-26 Joseph Marino , Yisong Yue , Stephan Mandt

Sparse deep learning aims to address the challenge of huge storage consumption by deep neural networks, and to recover the sparse structure of target functions. Although tremendous empirical successes have been achieved, most sparse deep…

Machine Learning · Statistics 2020-11-17 Jincheng Bai , Qifan Song , Guang Cheng

Mixture models are widely used in Bayesian statistics and machine learning, in particular in computational biology, natural language processing and many other fields. Variational inference, a technique for approximating intractable…

Statistics Theory · Mathematics 2020-08-03 Badr-Eddine Chérief-Abdellatif , Pierre Alquier

We propose a general modeling and inference framework that composes probabilistic graphical models with deep learning methods and combines their respective strengths. Our model family augments graphical structure in latent variables with…

Machine Learning · Statistics 2017-07-10 Matthew J. Johnson , David Duvenaud , Alexander B. Wiltschko , Sandeep R. Datta , Ryan P. Adams

Co-clustering exploits the duality of instances and features to simultaneously uncover meaningful groups in both dimensions, often outperforming traditional clustering in high-dimensional or sparse data settings. Although recent deep…

Machine Learning · Computer Science 2025-04-10 Ashwin Vinod , Chandrajit Bajaj

Variational inference is a powerful tool for approximate inference. However, it mainly focuses on the evidence lower bound as variational objective and the development of other measures for variational inference is a promising area of…

Machine Learning · Computer Science 2016-12-06 Michael Figurnov , Kirill Struminsky , Dmitry Vetrov

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

The variational autoencoder (VAE; Kingma, Welling (2014)) is a recently proposed generative model pairing a top-down generative network with a bottom-up recognition network which approximates posterior inference. It typically makes strong…

Machine Learning · Computer Science 2016-11-08 Yuri Burda , Roger Grosse , Ruslan Salakhutdinov

We develop a framework for incorporating structured graphical models in the \emph{encoders} of variational autoencoders (VAEs) that allows us to induce interpretable representations through approximate variational inference. This allows us…

The variational autoencoder (VAE) is a popular combination of deep latent variable model and accompanying variational learning technique. By using a neural inference network to approximate the model's posterior on latent variables, VAEs…

Machine Learning · Computer Science 2019-01-30 Junxian He , Daniel Spokoyny , Graham Neubig , Taylor Berg-Kirkpatrick

We consider the problem of estimating complex statistical latent variable models using variational Bayes methods. These methods are used when exact posterior inference is either infeasible or computationally expensive, and they approximate…

Methodology · Statistics 2025-02-28 David Gunawan , David Nott , Robert Kohn

Hierarchical learning models, such as mixture models and Bayesian networks, are widely employed for unsupervised learning tasks, such as clustering analysis. They consist of observable and hidden variables, which represent the given data…

Machine Learning · Statistics 2018-01-08 Keisuke Yamazaki

This paper develops a new framework, called modular regression, to utilize auxiliary information -- such as variables other than the original features or additional data sets -- in the training process of linear models. At a high level, our…

Methodology · Statistics 2023-11-27 Ying Jin , Dominik Rothenhäusler

Multimodal learning with variational autoencoders (VAEs) requires estimating joint distributions to evaluate the evidence lower bound (ELBO). Current methods, the product and mixture of experts, aggregate single-modality distributions…

Machine Learning · Computer Science 2025-05-05 Rogelio A Mancisidor , Robert Jenssen , Shujian Yu , Michael Kampffmeyer
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