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We present Sequential Neural Variational Inference (SNVI), an approach to perform Bayesian inference in models with intractable likelihoods. SNVI combines likelihood-estimation (or likelihood-ratio-estimation) with variational inference to…

机器学习 · 统计学 2022-10-20 Manuel Glöckler , Michael Deistler , Jakob H. Macke

Deep learning has revolutionized the last decade, being at the forefront of extraordinary advances in a wide range of tasks including computer vision, natural language processing, and reinforcement learning, to name but a few. However, it…

机器学习 · 计算机科学 2024-01-24 Sebastian W. Ober

Approximating complex probability densities is a core problem in modern statistics. In this paper, we introduce the concept of Variational Inference (VI), a popular method in machine learning that uses optimization techniques to estimate…

机器学习 · 计算机科学 2021-11-23 Ankush Ganguly , Samuel W. F. Earp

We present a novel approach for training deep neural networks in a Bayesian way. Classical, i.e. non-Bayesian, deep learning has two major drawbacks both originating from the fact that network parameters are considered to be deterministic.…

机器学习 · 统计学 2019-03-11 Konstantin Posch , Jan Steinbrener , Jürgen Pilz

Approximate inference in Gaussian process (GP) models with non-conjugate likelihoods gets entangled with the learning of the model hyperparameters. We improve hyperparameter learning in GP models and focus on the interplay between…

机器学习 · 计算机科学 2023-06-08 Rui Li , ST John , Arno Solin

Bayesian methods have shown success in deep learning applications. For example, in predictive tasks, Bayesian neural networks leverage Bayesian reasoning of model uncertainty to improve the reliability and uncertainty awareness of deep…

机器学习 · 计算机科学 2025-10-21 Wenlong Chen , Bolian Li , Ruqi Zhang , Yingzhen Li

Variational inference (VI) plays an essential role in approximate Bayesian inference due to its computational efficiency and broad applicability. Crucial to the performance of VI is the selection of the associated divergence measure, as VI…

机器学习 · 计算机科学 2021-06-24 Ruqi Zhang , Yingzhen Li , Christopher De Sa , Sam Devlin , Cheng Zhang

Solving high-dimensional Bayesian inverse problems (BIPs) with the variational inference (VI) method is promising but still challenging. The main difficulties arise from two aspects. First, VI methods approximate the posterior distribution…

数值分析 · 数学 2023-02-23 Yingzhi Xia , Qifeng Liao , Jinglai Li

To obtain uncertainty estimates with real-world Bayesian deep learning models, practical inference approximations are needed. Dropout variational inference (VI) for example has been used for machine vision and medical applications, but VI…

机器学习 · 计算机科学 2017-03-09 Yingzhen Li , Yarin Gal

There has been increasing interest in modeling survival data using deep learning methods in medical research. In this paper, we proposed a Bayesian hierarchical deep neural networks model for modeling and prediction of survival data.…

统计方法学 · 统计学 2021-09-20 Dai Feng , Lili Zhao

Bayesian neural networks (BNNs) offer uncertainty quantification but come with the downside of substantially increased training and inference costs. Sparse BNNs have been investigated for efficient inference, typically by either slowly…

机器学习 · 计算机科学 2024-02-20 Junbo Li , Zichen Miao , Qiang Qiu , Ruqi Zhang

Many modern unsupervised or semi-supervised machine learning algorithms rely on Bayesian probabilistic models. These models are usually intractable and thus require approximate inference. Variational inference (VI) lets us approximate a…

机器学习 · 计算机科学 2018-10-24 Cheng Zhang , Judith Butepage , Hedvig Kjellstrom , Stephan Mandt

There has been increasing interest in modelling survival data using deep learning methods in medical research. Current approaches have focused on designing special cost functions to handle censored survival data. We propose a very different…

机器学习 · 统计学 2020-03-12 Lili Zhao , Dai Feng

Highly expressive directed latent variable models, such as sigmoid belief networks, are difficult to train on large datasets because exact inference in them is intractable and none of the approximate inference methods that have been applied…

机器学习 · 计算机科学 2016-06-06 Andriy Mnih , Karol Gregor

The abundance of modern health data provides many opportunities for the use of machine learning techniques to build better statistical models to improve clinical decision making. Predicting time-to-event distributions, also known as…

机器学习 · 统计学 2020-12-15 Zidi Xiu , Chenyang Tao , Benjamin A. Goldstein , Ricardo Henao

Venn Prediction (VP) is a new machine learning framework for producing well-calibrated probabilistic predictions. In particular it provides well-calibrated lower and upper bounds for the conditional probability of an example belonging to…

机器学习 · 计算机科学 2023-12-18 Harris Papadopoulos

Modern neural network architectures have achieved remarkable accuracies but remain highly dependent on their training data, often lacking interpretability in their learned mappings. While effective on large datasets, they tend to overfit on…

机器学习 · 计算机科学 2025-03-19 Pavia Bera , Sanjukta Bhanja

Gaussian process training decomposes into inference of the (approximate) posterior and learning of the hyperparameters. For non-Gaussian (non-conjugate) likelihoods, two common choices for approximate inference are Expectation Propagation…

机器学习 · 计算机科学 2022-11-14 Rui Li , ST John , Arno Solin

One of the core problems of modern statistics is to approximate difficult-to-compute probability densities. This problem is especially important in Bayesian statistics, which frames all inference about unknown quantities as a calculation…

统计计算 · 统计学 2018-05-11 David M. Blei , Alp Kucukelbir , Jon D. McAuliffe

Variational inference (VI) is a computationally efficient and scalable methodology for approximate Bayesian inference. It strikes a balance between accuracy of uncertainty quantification and practical tractability. It excels at generative…

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