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Inference and inverse problems are closely related concepts, both fundamentally involving the deduction of unknown causes or parameters from observed data. Bayesian inference, a powerful class of methods, is often employed to solve a…

机器学习 · 统计学 2024-09-17 Yuan-Hao Wei , Yan-Jie Sun , Chen Zhang

Latent variable models are increasingly used in economics for high-dimensional categorical data like text and surveys. We demonstrate the effectiveness of Hamiltonian Monte Carlo (HMC) with parallelized automatic differentiation for…

计量经济学 · 经济学 2024-03-04 Szymon Sacher , Laura Battaglia , Stephen Hansen

Successfully training Variational Autoencoders (VAEs) with a hierarchy of discrete latent variables remains an area of active research. Vector-Quantised VAEs are a powerful approach to discrete VAEs, but naive hierarchical extensions can be…

机器学习 · 统计学 2021-02-05 Matthew Willetts , Xenia Miscouridou , Stephen Roberts , Chris Holmes

With the development of smart grids, High-Dimensional and Incomplete (HDI) Power Load Monitoring (PLM) data challenges the performance of Power Load Forecasting (PLF) models. In this paper, we propose a potential characterization model…

机器学习 · 计算机科学 2025-06-11 Boyu Xie , Tangtang Xie

The vector quantization is a widely used method to map continuous representation to discrete space and has important application in tokenization for generative mode, bottlenecking information and many other tasks in machine learning. Vector…

机器学习 · 计算机科学 2024-10-15 Mingyuan Yan , Jiawei Wu , Rushi Shah , Dianbo Liu

Imbalanced distribution learning is a common and significant challenge in predictive modeling, often reducing the performance of standard algorithms. Although various approaches address this issue, most are tailored to classification…

机器学习 · 计算机科学 2025-08-20 Samuel Stocksieker , Denys pommeret , Arthur Charpentier

Missing values with mixed data types is a common problem in a large number of machine learning applications such as processing of surveys and in different medical applications. Recently, Gaussian copula models have been suggested as a means…

机器学习 · 统计学 2021-07-02 Benjamin Christoffersen , Mark Clements , Keith Humphreys , Hedvig Kjellström

We study a variant of the variational autoencoder model (VAE) with a Gaussian mixture as a prior distribution, with the goal of performing unsupervised clustering through deep generative models. We observe that the known problem of…

With the recently increased interest in probabilistic models, the efficiency of an underlying sampler becomes a crucial consideration. Hamiltonian Monte Carlo (HMC) is one popular option for models of this kind. Performance of the method,…

The variational autoencoder (VAE) is a popular, deep, latent-variable model (DLVM) due to its simple yet effective formulation for modeling the data distribution. Moreover, optimizing the VAE objective function is more manageable than other…

机器学习 · 计算机科学 2025-01-28 Surojit Saha , Sarang Joshi , Ross Whitaker

For big data analysis, high computational cost for Bayesian methods often limits their applications in practice. In recent years, there have been many attempts to improve computational efficiency of Bayesian inference. Here we propose an…

统计计算 · 统计学 2017-04-19 Cheng Zhang , Babak Shahbaba , Hongkai Zhao

We introduce an improved variational autoencoder (VAE) for text modeling with topic information explicitly modeled as a Dirichlet latent variable. By providing the proposed model topic awareness, it is more superior at reconstructing input…

计算与语言 · 计算机科学 2018-11-02 Yijun Xiao , Tiancheng Zhao , William Yang Wang

In this paper we propose the Iterative Amortized Hierarchical Variational Autoencoder (IA-HVAE), which expands on amortized inference with a hybrid scheme containing an initial amortized guess and iterative refinement with decoder…

机器学习 · 计算机科学 2026-01-23 Simon W. Penninga , Ruud J. G. van Sloun

We develop a novel method for carrying out model selection for Bayesian autoencoders (BAEs) by means of prior hyper-parameter optimization. Inspired by the common practice of type-II maximum likelihood optimization and its equivalence to…

Data augmentation effectively addresses the imbalanced-small sample data (ISSD) problem in hyperspectral image classification (HSIC). While most methodologies extend features in the latent space, few leverage text-driven generation to…

计算机视觉与模式识别 · 计算机科学 2025-12-30 Yimin Zhu , Lincoln Linlin Xu

Unsupervised learning can leverage large-scale data sources without the need for annotations. In this context, deep learning-based autoencoders have shown great potential in detecting anomalies in medical images. However, especially…

图像与视频处理 · 电气工程与系统科学 2020-01-03 David Zimmerer , Simon Kohl , Jens Petersen , Fabian Isensee , Klaus Maier-Hein

We present a new sampling-based approach for enabling efficient computation of low-rank Bayesian matrix completion and quantifying the associated uncertainty. Firstly, we design a new prior model based on the singular-value-decomposition…

机器学习 · 统计学 2024-10-29 Tiangang Cui , Alex Gorodetsky

Variational autoencoders (VAEs) provide an effective and simple method for modeling complex distributions. However, training VAEs often requires considerable hyperparameter tuning to determine the optimal amount of information retained by…

机器学习 · 计算机科学 2021-07-13 Oleh Rybkin , Kostas Daniilidis , Sergey Levine

One of the major shortcomings of variational autoencoders is the inability to produce generations from the individual modalities of data originating from mixture distributions. This is primarily due to the use of a simple isotropic Gaussian…

机器学习 · 计算机科学 2019-12-02 Frantzeska Lavda , Magda Gregorová , Alexandros Kalousis

Markov Chain Monte Carlo inference of target posterior distributions in machine learning is predominately conducted via Hamiltonian Monte Carlo and its variants. This is due to Hamiltonian Monte Carlo based samplers ability to suppress…

机器学习 · 统计学 2021-07-06 Wilson Tsakane Mongwe , Rendani Mbuvha , Tshilidzi Marwala