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A novel stability-enhanced Gaussian process variational autoencoder (SEGP-VAE) is proposed for indirectly training a low-dimensional linear time invariant (LTI) system, using high-dimensional video data. The mean and covariance function of…

机器学习 · 计算机科学 2026-04-13 Carl R. Richardson , Jichen Zhang , Ethan King , Ján Drgoňa

In this paper, we introduce a novel, data-driven approach for solving high-dimensional Bayesian inverse problems based on partial differential equations (PDEs), called Weak Neural Variational Inference (WNVI). The method complements real…

机器学习 · 统计学 2024-07-31 Vincent C. Scholz , Yaohua Zang , Phaedon-Stelios Koutsourelakis

Variational Autoencoders (VAEs), as a form of deep generative model, have been widely used in recent years, and shown great great peformance in a number of different domains, including image generation and anomaly detection, etc.. This…

机器学习 · 计算机科学 2024-08-28 Liang Cheng , Peiyuan Guan , Amir Taherkordi , Lei Liu , Dapeng Lan

Semi-implicit variational inference (SIVI) greatly enriches the expressiveness of variational families by considering implicit variational distributions defined in a hierarchical manner. However, due to the intractable densities of…

机器学习 · 统计学 2023-08-22 Longlin Yu , Cheng Zhang

Estimation of uncertainty in deep learning models is of vital importance, especially in medical imaging, where reliance on inference without taking into account uncertainty could lead to misdiagnosis. Recently, the probabilistic Variational…

机器学习 · 计算机科学 2020-10-20 Haleh Akrami , Anand A. Joshi , Sergul Aydore , Richard M. Leahy

Sparse Autoencoders (SAEs) have emerged as a promising approach for interpreting neural network representations by learning sparse, human-interpretable features from dense activations. We investigate whether incorporating variational…

机器学习 · 计算机科学 2025-10-03 Zachary Baker , Yuxiao Li

Variational inference has experienced a recent surge in popularity owing to stochastic approaches, which have yielded practical tools for a wide range of model classes. A key benefit is that stochastic variational inference obviates the…

计算机视觉与模式识别 · 计算机科学 2018-03-29 Tobias Plötz , Anne S. Wannenwetsch , Stefan Roth

In this manuscript, we propose to use a variational autoencoder-based framework for parameterizing a conditional linear minimum mean squared error estimator. The variational autoencoder models the underlying unknown data distribution as…

信号处理 · 电气工程与系统科学 2024-08-23 Michael Baur , Benedikt Fesl , Wolfgang Utschick

Inference for Variational Autoencoders (VAEs) consists of learning two models: (1) a generative model, which transforms a simple distribution over a latent space into the distribution over observed data, and (2) an inference model, which…

机器学习 · 统计学 2024-06-14 Yaniv Yacoby , Weiwei Pan , Finale Doshi-Velez

In recent years, studies on image generation models of spiking neural networks (SNNs) have gained the attention of many researchers. Variational autoencoders (VAEs), as one of the most popular image generation models, have attracted a lot…

计算机视觉与模式识别 · 计算机科学 2024-10-28 Qiugang Zhan , Ran Tao , Xiurui Xie , Guisong Liu , Malu Zhang , Huajin Tang , Yang Yang

Due to their uncertainty quantification, Bayesian solutions to inverse problems are the framework of choice in applications that are risk averse. These benefits come at the cost of computations that are in general, intractable. New advances…

机器学习 · 计算机科学 2024-05-10 Rafael Orozco , Ali Siahkoohi , Mathias Louboutin , Felix J. Herrmann

As one of the most popular generative models, Variational Autoencoder (VAE) approximates the posterior of latent variables based on amortized variational inference. However, when the decoder network is sufficiently expressive, VAE may lead…

机器学习 · 计算机科学 2021-10-26 Dazhong Shen , Chuan Qin , Chao Wang , Hengshu Zhu , Enhong Chen , Hui Xiong

Variational empirical Bayes (VEB) methods provide a practically attractive approach to fitting large, sparse, multiple regression models. These methods usually use coordinate ascent to optimize the variational objective function, an…

统计方法学 · 统计学 2024-11-25 Saikat Banerjee , Peter Carbonetto , Matthew Stephens

Variational Autoencoders are one of the most commonly used generative models, particularly for image data. A prominent difficulty in training VAEs is data that is supported on a lower-dimensional manifold. Recent work by Dai and Wipf (2020)…

机器学习 · 计算机科学 2022-05-19 Frederic Koehler , Viraj Mehta , Chenghui Zhou , Andrej Risteski

Variational Autoencoders (VAEs) are powerful generative models for learning latent representations. Standard VAEs generate dispersed and unstructured latent spaces by utilizing all dimensions, which limits their interpretability, especially…

计算机视觉与模式识别 · 计算机科学 2025-05-21 Farshad Sangari Abiz , Reshad Hosseini , Babak N. Araabi

Deep Gaussian processes (DGPs) provide a robust paradigm for Bayesian deep learning. In DGPs, a set of sparse integration locations called inducing points are selected to approximate the posterior distribution of the model. This is done to…

机器学习 · 计算机科学 2024-07-25 Jian Xu , Delu Zeng , John Paisley

Simulation-based inference (SBI) is a method to perform inference on a variety of complex scientific models with challenging inference (inverse) problems. Bayesian Optimal Experimental Design (BOED) aims to efficiently use experimental…

机器学习 · 统计学 2025-02-13 Vincent D. Zaballa , Elliot E. Hui

The learning and evaluation of energy-based latent variable models (EBLVMs) without any structural assumptions are highly challenging, because the true posteriors and the partition functions in such models are generally intractable. This…

机器学习 · 计算机科学 2021-06-08 Fan Bao , Kun Xu , Chongxuan Li , Lanqing Hong , Jun Zhu , Bo Zhang

We propose to learn model invariances as a means of interpreting a model. This is motivated by a reverse engineering principle. If we understand a problem, we may introduce inductive biases in our model in the form of invariances.…

机器学习 · 计算机科学 2020-07-16 An-phi Nguyen , María Rodríguez Martínez

We investigate the problem of recovering a structured sparse signal from a linear observation model with an uncertain dynamic grid in the sensing matrix. The state-of-the-art expectation maximization based compressed sensing (EM-CS)…

信号处理 · 电气工程与系统科学 2024-07-25 An Liu , Yufan Zhou , Wenkang Xu
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