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In the usual Bayesian setting, a full probabilistic model is required to link the data and parameters, and the form of this model and the inference and prediction mechanisms are specified via de Finetti's representation. In general, such a…

Methodology · Statistics 2026-01-21 Yu Luo , David A. Stephens , Daniel J. Graham , Emma J. McCoy

In variational inference, the benefits of Bayesian models rely on accurately capturing the true posterior distribution. We propose using neural samplers that specify implicit distributions, which are well-suited for approximating complex…

Machine Learning · Computer Science 2023-11-10 Anshuk Uppal , Kristoffer Stensbo-Smidt , Wouter Boomsma , Jes Frellsen

We propose a variational Bayesian inference procedure for online nonlinear system identification. For each output observation, a set of parameter posterior distributions is updated, which is then used to form a posterior predictive…

Machine Learning · Statistics 2022-04-05 Wouter Kouw , Albert Podusenko , Magnus Koudahl , Maarten Schoukens

We focus on the problem of streaming recommender system and explore novel collaborative filtering algorithms to handle the data dynamicity and complexity in a streaming manner. Although deep neural networks have demonstrated the…

Machine Learning · Computer Science 2019-06-12 Qingquan Song , Shiyu Chang , Xia Hu

The Gaussian mixture model is a classic technique for clustering and data modeling that is used in numerous applications. With the rise of big data, there is a need for parameter estimation techniques that can handle streaming data and…

Artificial Intelligence · Computer Science 2016-09-20 Priyank Jaini , Pascal Poupart

We discuss Bayesian nonparametric procedures for the regression analysis of compositional responses, that is, data supported on a multivariate simplex. The procedures are based on a modified class of multivariate Bernstein polynomials and…

Methodology · Statistics 2021-08-31 Claudia Wehrhahn , Andrés F. Barrientos , Alejandro Jara

The use of hierarchical mixture priors with shared atoms has recently flourished in the Bayesian literature for partially exchangeable data. Leveraging on nested levels of mixtures, these models allow the estimation of a two-layered data…

Methodology · Statistics 2024-06-21 Laura D'Angelo , Francesco Denti

The efficient resolution of Bayesian inverse problems remains challenging due to the high computational cost of traditional sampling methods. In this paper, we propose a novel framework that integrates Conditional Flow Matching (CFM) with a…

Machine Learning · Computer Science 2025-05-20 Daniil Sherki , Ivan Oseledets , Ekaterina Muravleva

We argue for the use of separate exchangeability as a modeling principle in Bayesian nonparametric (BNP) inference. Separate exchangeability is de facto widely applied in the Bayesian parametric case, e.g., it naturally arises in simple…

Methodology · Statistics 2025-07-29 Giovanni Rebaudo , Qiaohui Lin , Peter Mueller

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.…

Machine Learning · Statistics 2019-03-11 Konstantin Posch , Jan Steinbrener , Jürgen Pilz

We study Bayesian hypernetworks: a framework for approximate Bayesian inference in neural networks. A Bayesian hypernetwork $\h$ is a neural network which learns to transform a simple noise distribution, $p(\vec\epsilon) = \N(\vec 0,\mat…

Machine Learning · Statistics 2018-04-26 David Krueger , Chin-Wei Huang , Riashat Islam , Ryan Turner , Alexandre Lacoste , Aaron Courville

Bayesian Neural Networks (BNN) have emerged as a crucial approach for interpreting ML predictions. By sampling from the posterior distribution, data scientists may estimate the uncertainty of an inference. Unfortunately many inference…

Machine Learning · Computer Science 2023-11-23 Thomas D. Ahle , Sahar Karimi , Peter Tak Peter Tang

Multi-function radars (MFRs) are sophisticated types of sensors with the capabilities of complex agile inter-pulse modulation implementation and dynamic work mode scheduling. The developments in MFRs pose great challenges to modern…

Signal Processing · Electrical Eng. & Systems 2023-08-23 Jiadi Bao , Yunjie Li , Mengtao Zhu , Shafei Wang

This paper introduces a Bayesian inference framework for incomplete structural models, termed distribution-matching posterior inference (DMPI). Extending the minimal econometric interpretation (MEI), DMPI constructs a divergence-based…

Econometrics · Economics 2026-01-06 Takashi Kano

Transfer learning has recently shown significant performance across various tasks involving deep neural networks. In these transfer learning scenarios, the prior distribution for downstream data becomes crucial in Bayesian model averaging…

Machine Learning · Computer Science 2024-03-13 Hyungi Lee , Giung Nam , Edwin Fong , Juho Lee

Bayesian posterior inference is prevalent in various machine learning problems. Variational inference provides one way to approximate the posterior distribution, however its expressive power is limited and so is the accuracy of resulting…

Machine Learning · Computer Science 2018-07-11 Guoqing Zheng , Yiming Yang , Jaime Carbonell

Recently, considerable research attention has been paid to network embedding, a popular approach to construct feature vectors of vertices. Due to the curse of dimensionality and sparsity in graphical datasets, this approach has become…

Machine Learning · Computer Science 2018-11-15 Xi Liu , Ping-Chun Hsieh , Nick Duffield , Rui Chen , Muhe Xie , Xidao Wen

As a powerful Bayesian non-parameterized algorithm, the Gaussian process (GP) has performed a significant role in Bayesian optimization and signal processing. GPs have also advanced online decision-making systems because their posterior…

Machine Learning · Computer Science 2022-10-27 Tianyu Liu , Jie Lu , Zheng Yan , Guangquan Zhang

We introduce a novel combination of Bayesian Models (BMs) and Neural Networks (NNs) for making predictions with a minimum expected risk. Our approach combines the best of both worlds, the data efficiency and interpretability of a BM with…

Machine Learning · Computer Science 2021-09-28 Mathias Löwe , Per Lunnemann Hansen , Sebastian Risi

Finding or monitoring subgraph instances that are isomorphic to a given pattern graph in a data graph is a fundamental query operation in many graph analytic applications, such as network motif mining and fraud detection. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-17 Zhaokang Wang , Weiwei Hu , Chunfeng Yuan , Rong Gu , Yihua Huang
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