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The stochastic block model (SBM) provides a popular framework for modeling community structures in networks. However, more attention has been devoted to problems concerning estimating the latent node labels and the model parameters than the…

统计理论 · 数学 2016-03-02 Y. X. Rachel Wang , Peter J. Bickel

We introduce semiparametric Bayesian networks that combine parametric and nonparametric conditional probability distributions. Their aim is to incorporate the advantages of both components: the bounded complexity of parametric models and…

机器学习 · 计算机科学 2021-09-08 David Atienza , Concha Bielza , Pedro Larrañaga

We propose the first Bayesian encoder for metric learning. Rather than relying on neural amortization as done in prior works, we learn a distribution over the network weights with the Laplace Approximation. We actualize this by first…

机器学习 · 计算机科学 2023-02-07 Frederik Warburg , Marco Miani , Silas Brack , Soren Hauberg

This paper re-examines the problem of parameter estimation in Bayesian networks with missing values and hidden variables from the perspective of recent work in on-line learning [Kivinen & Warmuth, 1994]. We provide a unified framework for…

机器学习 · 计算机科学 2013-02-08 Eric Bauer , Daphne Koller , Yoram Singer

Uncertainty quantification is an important task in machine learning - a task in which standardneural networks (NNs) have traditionally not excelled. This can be a limitation for safety-critical applications, where uncertainty-aware methods…

机器学习 · 计算机科学 2024-01-05 Felix Fiedler , Sergio Lucia

In this paper, we consider a score-based Integer Programming (IP) approach for solving the Bayesian Network Structure Learning (BNSL) problem. State-of-the-art BNSL IP formulations suffer from the exponentially large number of variables and…

机器学习 · 统计学 2025-09-10 Yiran Yang , Rui Chen

We consider the problem of sparse channel estimation in massive multiple-input multiple-output systems. In this context, we propose an enhanced version of the sparse Bayesian learning (SBL) framework, referred to as enhanced SBL (E-SBL),…

信号处理 · 电气工程与系统科学 2025-01-15 Arttu Arjas , Italo Atzeni

Sparse Bayesian learning (SBL) is a popular approach to sparse signal recovery in compressed sensing (CS). In SBL, the signal sparsity information is exploited by assuming a sparsity-inducing prior for the signal that is then estimated…

信息论 · 计算机科学 2012-09-03 Zai Yang , Lihua Xie , Cishen Zhang

Bayesian inference allows us to define a posterior distribution over the weights of a generic neural network (NN). Exact posteriors are usually intractable, in which case approximations can be employed. One such approximation - variational…

机器学习 · 计算机科学 2026-01-30 Andrew Millard , Joshua Murphy , Peter Green , Simon Maskell

In this paper we propose a Bayesian method for estimating architectural parameters of neural networks, namely layer size and network depth. We do this by learning concrete distributions over these parameters. Our results show that regular…

机器学习 · 统计学 2019-01-29 Georgi Dikov , Patrick van der Smagt , Justin Bayer

In this report paper we first present a report of the Advanced Machine Learning Course Project on the provided data set and then present a novel heuristic algorithm for exact Bayesian network (BN) structure discovery that uses decomposable…

人工智能 · 计算机科学 2014-11-26 Amir Arsalan Soltani

A Bayesian factor graph reduced to normal form consists in the interconnection of diverter units (or equal constraint units) and Single-Input/Single-Output (SISO) blocks. In this framework localized adaptation rules are explicitly derived…

机器学习 · 统计学 2013-08-27 Francesco A. N. Palmieri

We consider the task of learning causal structures from data stored on multiple machines, and propose a novel structure learning method called distributed annealing on regularized likelihood score (DARLS) to solve this problem. We model…

统计方法学 · 统计学 2024-04-30 Qiaoling Ye , Arash A. Amini , Qing Zhou

Recent advances in unsupervised learning have highlighted the possibility of learning to reconstruct signals from noisy and incomplete linear measurements alone. These methods play a key role in medical and scientific imaging and sensing,…

信号处理 · 电气工程与系统科学 2024-10-22 Julián Tachella , Laurent Jacques

We study the problem of learning the best Bayesian network structure with respect to a decomposable score such as BDe, BIC or AIC. This problem is known to be NP-hard, which means that solving it becomes quickly infeasible as the number of…

人工智能 · 计算机科学 2012-07-02 Tomi Silander , Petri Myllymaki

In recent years, plenty of metrics have been proposed to identify networks that are free of gradient explosion and vanishing. However, due to the diversity of network components and complex serial-parallel hybrid connections in modern DNNs,…

机器学习 · 计算机科学 2020-08-13 Zhaodong Chen , Lei Deng , Bangyan Wang , Guoqi Li , Yuan Xie

Bayesian Generalized Nonlinear Models (BGNLM) offer a flexible nonlinear alternative to GLM while still providing better interpretability than machine learning techniques such as neural networks. In BGNLM, the methods of Bayesian Variable…

统计计算 · 统计学 2023-12-29 Jon Lachmann , Aliaksandr Hubin

The typical approach for recovery of spatially correlated signals is regularized least squares with a coupled regularization term. In the Bayesian framework, this algorithm is seen as a maximum-a-posterior estimator whose postulated prior…

信息论 · 计算机科学 2018-05-31 Ali Bereyhi , Saeid Haghighatshoar , Ralf R. Müller

We discuss Bayesian methods for learning Bayesian networks when data sets are incomplete. In particular, we examine asymptotic approximations for the marginal likelihood of incomplete data given a Bayesian network. We consider the Laplace…

机器学习 · 计算机科学 2015-05-19 David Maxwell Chickering , David Heckerman

Learning Bayesian networks is often cast as an optimization problem, where the computational task is to find a structure that maximizes a statistically motivated score. By and large, existing learning tools address this optimization problem…

机器学习 · 计算机科学 2013-01-30 Nir Friedman , Iftach Nachman , Dana Pe'er