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Stochastic processes provide a mathematically elegant way model complex data. In theory, they provide flexible priors over function classes that can encode a wide range of interesting assumptions. In practice, however, efficient inference…

机器学习 · 计算机科学 2022-09-15 Swapnil Mishra , Seth Flaxman , Tresnia Berah , Harrison Zhu , Mikko Pakkanen , Samir Bhatt

We introduce a new Bayesian multi-class support vector machine by formulating a pseudo-likelihood for a multi-class hinge loss in the form of a location-scale mixture of Gaussians. We derive a variational-inference-based training objective…

机器学习 · 计算机科学 2018-06-08 Martin Wistuba , Ambrish Rawat

We propose an importance sampling (IS)-based transport map Hamiltonian Monte Carlo procedure for performing full Bayesian analysis in general nonlinear high-dimensional hierarchical models. Using IS techniques to construct a transport map,…

统计计算 · 统计学 2019-12-11 Kjartan Kloster Osmundsen , Tore Selland Kleppe , Roman Liesenfeld

We extend variational autoencoders (VAEs) to collaborative filtering for implicit feedback. This non-linear probabilistic model enables us to go beyond the limited modeling capacity of linear factor models which still largely dominate…

机器学习 · 统计学 2018-02-19 Dawen Liang , Rahul G. Krishnan , Matthew D. Hoffman , Tony Jebara

The variational auto-encoder (VAE) is a deep latent variable model that has two neural networks in an autoencoder-like architecture; one of them parameterizes the model's likelihood. Fitting its parameters via maximum likelihood (ML) is…

机器学习 · 计算机科学 2021-06-03 Francisco J. R. Ruiz , Michalis K. Titsias , Taylan Cemgil , Arnaud Doucet

In statistical data assimilation (SDA) and supervised machine learning (ML), we wish to transfer information from observations to a model of the processes underlying those observations. For SDA, the model consists of a set of differential…

数据分析、统计与概率 · 物理学 2020-01-22 Zheng Fang , Adrian S. Wong , Kangbo Hao , Alexander J. A. Ty , Henry D. I. Abarbanel

Variational autoencoders (VAEs) are a powerful class of deep generative latent variable model for unsupervised representation learning on high-dimensional data. To ensure computational tractability, VAEs are often implemented with a…

机器学习 · 计算机科学 2020-06-09 Alex Campbell , Pietro Liò

We propose a hybrid Monte Carlo (HMC) technique applicable to high-dimensional multivariate normal distributions that effectively samples along chaotic trajectories. The method is predicated on the freedom of choice of the HMC momentum…

数据分析、统计与概率 · 物理学 2016-04-26 Nirag Kadakia

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…

机器学习 · 计算机科学 2016-11-08 Yuri Burda , Roger Grosse , Ruslan Salakhutdinov

For many analytical problems the challenge is to handle huge amounts of available data. However, there are data science application areas where collecting information is difficult and costly, e.g., in the study of geological phenomena, rare…

机器学习 · 统计学 2019-09-17 Kristian Miok , Dong Nguyen-Doan , Daniela Zaharie , Marko Robnik-Šikonja

Deep metric learning has been demonstrated to be highly effective in learning semantic representation and encoding information that can be used to measure data similarity, by relying on the embedding learned from metric learning. At the…

机器学习 · 统计学 2023-02-09 Haque Ishfaq , Assaf Hoogi , Daniel Rubin

Datasets in engineering applications are often limited and contaminated, mainly due to unavoidable measurement noise and signal distortion. Thus, using conventional data-driven approaches to build a reliable discriminative model, and…

机器学习 · 统计学 2020-04-14 Xihaier Luo , Ahsan Kareem

Recently, probabilistic predictive coding that directly models the conditional distribution of latent features across successive frames for temporal redundancy removal has yielded promising results. Existing methods using a single-scale…

图像与视频处理 · 电气工程与系统科学 2023-12-13 Ming Lu , Zhihao Duan , Fengqing Zhu , Zhan Ma

Variational autoencoders employ an amortized inference model to approximate the posterior of latent variables. However, such amortized variational inference faces two challenges: (1) the limited posterior expressiveness of fully-factorized…

机器学习 · 计算机科学 2022-12-01 Yookoon Park , Chris Dongjoo Kim , Gunhee Kim

A clear need for automatic anomaly detection applied to automotive testing has emerged as more and more attention is paid to the data recorded and manual evaluation by humans reaches its capacity. Such real-world data is massive, diverse,…

机器学习 · 计算机科学 2024-11-22 Lucas Correia , Jan-Christoph Goos , Philipp Klein , Thomas Bäck , Anna V. Kononova

We propose a new computationally efficient sampling scheme for Bayesian inference involving high dimensional probability distributions. Our method maps the original parameter space into a low-dimensional latent space, explores the latent…

统计计算 · 统计学 2019-10-15 Babak Shahbaba , Luis Martinez Lomeli , Tian Chen , Shiwei Lan

Phylogenetic comparative methods correct for shared evolutionary history among a set of non-independent organisms by modeling sample traits as arising from a diffusion process along on the branches of a possibly unknown history. To…

应用统计 · 统计学 2020-09-30 Paul Bastide , Lam Si Tung Ho , Guy Baele , Philippe Lemey , Marc A Suchard

Clustering high-dimensional data, such as images or biological measurements, is a long-standingproblem and has been studied extensively. Recently, Deep Clustering has gained popularity due toits flexibility in fitting the specific…

机器学习 · 计算机科学 2020-12-21 Andreas Kopf , Vincent Fortuin , Vignesh Ram Somnath , Manfred Claassen

In the field of machine learning, it is still a critical issue to identify and supervise the learned representation without manually intervening or intuition assistance to extract useful knowledge or serve for the downstream tasks. In this…

机器学习 · 计算机科学 2025-12-10 Shiqi Liu , Jingxin Liu , Qian Zhao , Xiangyong Cao , Huibin Li , Deyu Meng , Hongying Meng , Sheng Liu

This paper introduces a new interpretation of the Variational Autoencoder framework by taking a fully geometric point of view. We argue that vanilla VAE models unveil naturally a Riemannian structure in their latent space and that taking…

机器学习 · 统计学 2022-11-04 Clément Chadebec , Stéphanie Allassonnière
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