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Generative adversarial networks (GANs) can implicitly learn rich distributions over images, audio, and data which are hard to model with an explicit likelihood. We present a practical Bayesian formulation for unsupervised and…

机器学习 · 统计学 2017-11-09 Yunus Saatchi , Andrew Gordon Wilson

Adversarial machine learning challenges the assumption that the underlying distribution remains consistent throughout the training and implementation of a prediction model. In particular, adversarial evasion considers scenarios where…

机器学习 · 计算机科学 2025-12-02 David Benfield , Phan Tu Vuong , Alain Zemkoho

We revisit the replica method for analyzing inference and learning in parametric models, considering situations where the data-generating distribution is unknown or analytically intractable. Instead of assuming idealized distributions to…

无序系统与神经网络 · 物理学 2025-11-17 Takashi Takahashi

Inverse problems and, in particular, inferring unknown or latent parameters from data are ubiquitous in engineering simulations. A predominant viewpoint in identifying unknown parameters is Bayesian inference where both prior information…

统计计算 · 统计学 2022-08-31 Vahid Keshavarzzadeh , Robert M. Kirby , Akil Narayan

Inference networks of traditional Variational Autoencoders (VAEs) are typically amortized, resulting in relatively inaccurate posterior approximation compared to instance-wise variational optimization. Recent semi-amortized approaches were…

机器学习 · 计算机科学 2020-11-18 Minyoung Kim , Vladimir Pavlovic

Variational Optimization forms a differentiable upper bound on an objective. We show that approaches such as Natural Evolution Strategies and Gaussian Perturbation, are special cases of Variational Optimization in which the expectations are…

机器学习 · 统计学 2018-09-14 Thomas Bird , Julius Kunze , David Barber

The formulation of Bayesian inverse problems involves choosing prior distributions; choices that seem equally reasonable may lead to significantly different conclusions. We develop a computational approach to better understand the impact of…

统计计算 · 统计学 2026-01-08 John E. Darges , Alen Alexanderian , Pierre A. Gremaud

Learning latent representations that are simultaneously expressive, geometrically well-structured, and reliably calibrated remains a central challenge for Variational Autoencoders (VAEs). Standard VAEs typically assume a diagonal Gaussian…

机器学习 · 计算机科学 2025-12-02 Mehmet Can Yavuz

This work develops problem statements related to encoders and autoencoders with the goal of elucidating variational formulations and establishing clear connections to information-theoretic concepts. Specifically, four problems with varying…

信息论 · 计算机科学 2021-07-15 Karthik Duraisamy

Gaussian graphical models are used for determining conditional relationships between variables. This is accomplished by identifying off-diagonal elements in the inverse-covariance matrix that are non-zero. When the ratio of variables (p) to…

应用统计 · 统计学 2018-08-07 Donald R. Williams , Juho Piironen , Aki Vehtari , Philippe Rast

Adversarial representation learning is a promising paradigm for obtaining data representations that are invariant to certain sensitive attributes while retaining the information necessary for predicting target attributes. Existing…

机器学习 · 计算机科学 2019-12-30 Bashir Sadeghi , Runyi Yu , Vishnu Naresh Boddeti

Deep generative models have achieved impressive success in recent years. Generative Adversarial Networks (GANs) and Variational Autoencoders (VAEs), as emerging families for generative model learning, have largely been considered as two…

机器学习 · 计算机科学 2018-07-12 Zhiting Hu , Zichao Yang , Ruslan Salakhutdinov , Eric P. Xing

In this present work, we discuss the Bayesian inference for the bivariate pseudo-exponential distribution. Initially, we assume independent gamma priors and then pseudo-gamma priors for the pseudo-exponential parameters. We are primarily…

统计方法学 · 统计学 2023-06-27 Banoth Veeranna

Microscopy techniques generate vast amounts of complex image data that in principle can be used to discover simpler, interpretable, and parsimonious forms to reveal the underlying physical structures, such as elementary building blocks in…

Feedforward neural networks are widely used as universal predictive models to fit data distribution. Common gradient-based learning, however, suffers from many drawbacks making the training process ineffective and time-consuming.…

机器学习 · 计算机科学 2021-07-06 Grzegorz Dudek

When multiple agents interact in a common environment, each agent's actions impact others' future decisions, and noncooperative dynamic games naturally capture this coupling. In interactive motion planning, however, agents typically do not…

机器人学 · 计算机科学 2024-10-24 Xinjie Liu , Lasse Peters , Javier Alonso-Mora , Ufuk Topcu , David Fridovich-Keil

Variational Autoencoders (VAEs) are powerful generative models widely used for learning interpretable latent spaces, quantifying uncertainty, and compressing data for downstream generative tasks. VAEs typically rely on diagonal Gaussian…

机器学习 · 计算机科学 2025-06-03 Peter Sorrenson , Lukas Lührs , Hans Olischläger , Ullrich Köthe

Mixture models with Gamma and or inverse-Gamma distributed mixture components are useful for medical image tissue segmentation or as post-hoc models for regression coefficients obtained from linear regression within a Generalised Linear…

机器学习 · 统计学 2016-07-27 A. Llera , D. Vidaurre , R. H. R. Pruim , C. F. Beckmann

Parametric adversarial divergences, which are a generalization of the losses used to train generative adversarial networks (GANs), have often been described as being approximations of their nonparametric counterparts, such as the…

机器学习 · 计算机科学 2021-10-22 Gabriel Huang , Hugo Berard , Ahmed Touati , Gauthier Gidel , Pascal Vincent , Simon Lacoste-Julien

A nonparametric Bayes approach is proposed for the problem of estimating a sparse sequence based on Gaussian random variables. We adopt the popular two-group prior with one component being a point mass at zero, and the other component being…

统计方法学 · 统计学 2017-05-31 Yunbo Ouyang , Feng Liang
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