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Gaussian process training decomposes into inference of the (approximate) posterior and learning of the hyperparameters. For non-Gaussian (non-conjugate) likelihoods, two common choices for approximate inference are Expectation Propagation…

机器学习 · 计算机科学 2022-11-14 Rui Li , ST John , Arno Solin

This paper considers the general $f$-divergence formulation of bidirectional generative modeling, which includes VAE and BiGAN as special cases. We present a new optimization method for this formulation, where the gradient is computed using…

机器学习 · 计算机科学 2020-07-01 Xinwei Shen , Tong Zhang , Kani Chen

We would like to learn latent representations that are low-dimensional and highly interpretable. A model that has these characteristics is the Gaussian Process Latent Variable Model. The benefits and negative of the GP-LVM are complementary…

机器学习 · 统计学 2017-12-19 Erik Bodin , Iman Malik , Carl Henrik Ek , Neill D. F. Campbell

We propose to utilize a variational autoencoder (VAE) for data-driven channel estimation. The underlying true and unknown channel distribution is modeled by the VAE as a conditional Gaussian distribution in a novel way, parameterized by the…

信号处理 · 电气工程与系统科学 2023-04-07 Michael Baur , Benedikt Fesl , Michael Koller , Wolfgang Utschick

Optimal dimensionality reduction methods are proposed for the Bayesian inference of a Gaussian linear model with additive noise in presence of overabundant data. Three different optimal projections of the observations are proposed based on…

统计理论 · 数学 2018-02-13 Loïc Giraldi , Olivier P. Le Maître , Ibrahim Hoteit , Omar M. Knio

We present an autoencoder that leverages learned representations to better measure similarities in data space. By combining a variational autoencoder with a generative adversarial network we can use learned feature representations in the…

机器学习 · 计算机科学 2016-02-12 Anders Boesen Lindbo Larsen , Søren Kaae Sønderby , Hugo Larochelle , Ole Winther

We consider Bayesian optimization in settings where observations can be adversarially biased, for example by an uncontrolled hidden confounder. Our first contribution is a reduction of the confounded setting to the dueling bandit model.…

机器学习 · 统计学 2021-06-10 Johannes Kirschner , Andreas Krause

Explaining decisions of black-box classifiers is paramount in sensitive domains such as medical imaging since clinicians confidence is necessary for adoption. Various explanation approaches have been proposed, among which perturbation based…

计算机视觉与模式识别 · 计算机科学 2020-12-15 Martin Charachon , Céline Hudelot , Paul-Henry Cournède , Camille Ruppli , Roberto Ardon

Variational autoencoders allow to learn a lower-dimensional latent space based on high-dimensional input/output data. Using video clips as input data, the encoder may be used to describe the movement of an object in the video without ground…

机器学习 · 计算机科学 2023-05-17 Thomas Beckers , Qirui Wu , George J. Pappas

Explainable machine learning has attracted much interest in the community where the stakes are high. Counterfactual explanations methods have become an important tool in explaining a black-box model. The recent advances have leveraged the…

机器学习 · 计算机科学 2025-09-03 Wei Zhang , Brian Barr , John Paisley

Conditional Neural Processes~(CNPs) formulate distributions over functions and generate function observations with exact conditional likelihoods. CNPs, however, have limited expressivity for high-dimensional observations, since their…

机器学习 · 计算机科学 2023-03-24 Zesheng Ye , Jing Du , Lina Yao

Most computational approaches to Bayesian experimental design require making posterior calculations repeatedly for a large number of potential designs and/or simulated datasets. This can be expensive and prohibit scaling up these methods to…

统计计算 · 统计学 2021-11-18 Dennis Prangle , Sophie Harbisher , Colin S Gillespie

Bayesian estimation of Gaussian graphical models has proven to be challenging because the conjugate prior distribution on the Gaussian precision matrix, the G-Wishart distribution, has a doubly intractable partition function. Recent…

神经元与认知 · 定量生物学 2014-09-10 Max Hinne , Alex Lenkoski , Tom Heskes , Marcel van Gerven

We present a new autoencoder-type architecture that is trainable in an unsupervised mode, sustains both generation and inference, and has the quality of conditional and unconditional samples boosted by adversarial learning. Unlike previous…

计算机视觉与模式识别 · 计算机科学 2017-11-07 Dmitry Ulyanov , Andrea Vedaldi , Victor Lempitsky

We claim that a source of severe failures for Variational Auto-Encoders is the choice of the distribution class used for the observation model.A first theoretical and experimental contribution of the paper is to establish that even in the…

机器学习 · 计算机科学 2020-03-05 Michele Sebag , Victor Berger , Michèle Sebag

As a widely recognized approach to deep generative modeling, Variational Auto-Encoders (VAEs) still face challenges with the quality of generated images, often presenting noticeable blurriness. This issue stems from the unrealistic…

机器学习 · 计算机科学 2023-05-22 Georgios Batzolis , Jan Stanczuk , Carola-Bibiane Schönlieb

This paper studies the interpretability of neural network features from a Bayesian Gaussian view, where optimizing a cost is reaching a probabilistic bound; learning a model approximates a density that makes the bound tight and the cost…

机器学习 · 计算机科学 2025-11-18 Bo Hu , Jose C. Principe

Adversarial robustness has become a fundamental requirement in modern machine learning applications. Yet, there has been surprisingly little statistical understanding so far. In this paper, we provide the first result of the optimal minimax…

机器学习 · 统计学 2020-07-01 Chen Dan , Yuting Wei , Pradeep Ravikumar

Heteroscedastic regression models a Gaussian variable's mean and variance as a function of covariates. Parametric methods that employ neural networks for these parameter maps can capture complex relationships in the data. Yet, optimizing…

Established methods for unsupervised representation learning such as variational autoencoders produce none or poorly calibrated uncertainty estimates making it difficult to evaluate if learned representations are stable and reliable. In…

机器学习 · 计算机科学 2022-08-24 Marco Miani , Frederik Warburg , Pablo Moreno-Muñoz , Nicke Skafte Detlefsen , Søren Hauberg