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Score matching (SM) is a convenient method for training flexible probabilistic models, which is often preferred over the traditional maximum-likelihood (ML) approach. However, these models are less interpretable than normalized models; as…

Machine Learning · Statistics 2022-10-25 Li Kevin Wenliang

Bayesian (deep) neural networks (BNN) are often more attractive than the vanilla point-estimate deep learning in various aspects including uncertainty quantification, robustness to noise, resistance to overfitting, and more. The variational…

Machine Learning · Computer Science 2026-05-22 Minyoung Kim

Variational auto-encoders (VAE) are popular deep latent variable models which are trained by maximizing an Evidence Lower Bound (ELBO). To obtain tighter ELBO and hence better variational approximations, it has been proposed to use…

Machine Learning · Statistics 2021-07-22 Achille Thin , Nikita Kotelevskii , Arnaud Doucet , Alain Durmus , Eric Moulines , Maxim Panov

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…

Machine Learning · Computer Science 2021-06-08 Fan Bao , Kun Xu , Chongxuan Li , Lanqing Hong , Jun Zhu , Bo Zhang

The variational autoencoder (VAE) is a powerful generative model that can estimate the probability of a data point by using latent variables. In the VAE, the posterior of the latent variable given the data point is regularized by the prior…

Machine Learning · Statistics 2019-12-30 Hiroshi Takahashi , Tomoharu Iwata , Yuki Yamanaka , Masanori Yamada , Satoshi Yagi

The electrocardiogram (ECG) is an inexpensive and widely available tool for cardiac assessment. Despite its standardized format and small file size, the high complexity and inter-individual variability of ECG signals (typically a…

Machine Learning · Computer Science 2025-08-04 Christopher Harvey , Sumaiya Shomaji , Zijun Yao , Amit Noheria

Data collection is a critical step in statistical inference and data science, and the goal of statistical experimental design (ED) is to find the data collection setup that can provide most information for the inference. In this work we…

Computation · Statistics 2020-07-01 Ziqiao Ao , Jinglai Li

We present a latent variable model for classification that provides a novel probabilistic interpretation of neural network softmax classifiers. We derive a variational objective to train the model, analogous to the evidence lower bound…

Machine Learning · Computer Science 2024-01-10 Shehzaad Dhuliawala , Mrinmaya Sachan , Carl Allen

Deep generative models have been demonstrated as problematic in the unsupervised out-of-distribution (OOD) detection task, where they tend to assign higher likelihoods to OOD samples. Previous studies on this issue are usually not…

Machine Learning · Computer Science 2024-01-04 Zezhen Zeng , Bin Liu

This paper introduces the Efficient Facial Landmark Detection (EFLD) model, specifically designed for edge devices confronted with the challenges related to power consumption and time latency. EFLD features a lightweight backbone and a…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Ji-Jia Wu

We introduce the new concept of an EBV to assess the sensitivity of model outputs to changes in initial conditions for weather forecasting. The new algorithm, which we call the "Ensemble Bred Vector" or EBV, is based on collective dynamics…

Atmospheric and Oceanic Physics · Physics 2017-03-08 Nusret Balci , Anna L. Mazzucato , Juan M. Restrepo , George R. Sell

When trained effectively, the Variational Autoencoder (VAE) is both a powerful language model and an effective representation learning framework. In practice, however, VAEs are trained with the evidence lower bound (ELBO) as a surrogate…

Machine Learning · Computer Science 2019-09-04 Bohan Li , Junxian He , Graham Neubig , Taylor Berg-Kirkpatrick , Yiming Yang

Variational autoencoders (VAEs) have been used extensively to discover low-dimensional latent factors governing neural activity and animal behavior. However, without careful model selection, the uncovered latent factors may reflect noise in…

Machine Learning · Computer Science 2023-12-13 Julia Huiming Wang , Dexter Tsin , Tatiana Engel

Variational Graph Auto-Encoders (VGAEs) have been widely used to solve the node clustering task. However, the state-of-the-art methods have numerous challenges. First, existing VGAEs do not account for the discrepancy between the inference…

Machine Learning · Computer Science 2023-12-29 Nairouz Mrabah , Mohamed Bouguessa , Riadh Ksantini

Semi-supervised variational autoencoders (VAEs) have obtained strong results, but have also encountered the challenge that good ELBO values do not always imply accurate inference results. In this paper, we investigate and propose two causes…

Machine Learning · Computer Science 2020-12-09 Hao-Zhe Feng , Kezhi Kong , Minghao Chen , Tianye Zhang , Minfeng Zhu , Wei Chen

In Bayesian machine learning, the posterior distribution is typically computationally intractable, hence variational inference is often required. In this approach, an evidence lower bound on the log likelihood of data is maximized during…

Machine Learning · Computer Science 2019-07-23 Stephen Odaibo

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…

Machine Learning · Computer Science 2025-01-28 Surojit Saha , Sarang Joshi , Ross Whitaker

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…

Variational inference (VI) is a widely used framework in Bayesian estimation. For most of the non-Gaussian statistical models, it is infeasible to find an analytically tractable solution to estimate the posterior distributions of the…

Machine Learning · Statistics 2020-01-31 Zhanyu Ma , Jalil Taghia , Jun Guo

The Evidence Lower Bound (ELBO) is a quantity that plays a key role in variational inference. It can also be used as a criterion in model selection. However, though extremely popular in practice in the variational Bayes community, there has…

Statistics Theory · Mathematics 2019-04-09 Badr-Eddine Chérief-Abdellatif