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Bayesian optimization has become a popular method for high-throughput computing, like the design of computer experiments or hyperparameter tuning of expensive models, where sample efficiency is mandatory. In these applications, distributed…

Machine Learning · Computer Science 2019-07-08 Javier Garcia-Barcos , Ruben Martinez-Cantin

In this work, we highlight a connection between the incremental proximal method and stochastic filters. We begin by showing that the proximal operators coincide, and hence can be realized with, Bayes updates. We give the explicit form of…

Computation · Statistics 2018-07-13 Ömer Deniz Akyildiz , Victor Elvira , Joaquin Miguez

The topic of this paper is a novel Bayesian continuous-basis field representation and inference framework. Within this paper several problems are solved: The maximally informative inference of continuous-basis fields, that is where the…

Computer Vision and Pattern Recognition · Computer Science 2015-06-25 David R. Wolf

The problem of mixed signals occurs in many different contexts; one of the most familiar being acoustics. The forward problem in acoustics consists of finding the sound pressure levels at various detectors resulting from sound signals…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Kevin H. Knuth

Feedback particle filter (FPF) is a Monte-Carlo (MC) algorithm to approximate the solution of a stochastic filtering problem. In contrast to conventional particle filters, the Bayesian update step in FPF is implemented via a mean-field type…

Systems and Control · Electrical Eng. & Systems 2021-02-23 Amirhossein Taghvaei , Prashant G. Mehta

Kalman filtering is a widely used framework for Bayesian estimation. The partitioned update Kalman filter applies a Kalman filter update in parts so that the most linear parts of measurements are applied first. In this paper, we generalize…

Optimization and Control · Mathematics 2016-03-16 Matti Raitoharju , Ángel F. García-Fernández , Robert Piché

A method for sequential Bayesian inference of the static parameters of a dynamic state space model is proposed. The method is based on the observation that many dynamic state space models have a relatively small number of static parameters…

Computation · Statistics 2017-06-28 Arnab Bhattacharya , Simon Wilson

This work provides a new multinomial resampling procedure for particle filter resampling, focused on the case where the number of samples required is less than or equal to the size of the underlying discrete distribution. This setting is…

Data Structures and Algorithms · Computer Science 2026-04-03 Andrey A. Popov

A message-passing procedure for solving the graph isomorphism problem is proposed. The procedure resembles the belief-propagation algorithm in the context of graphical models inference and LDPC decoding. To enable the algorithm, the input…

Data Structures and Algorithms · Computer Science 2017-04-04 Mohamed Mansour

Complex dynamic systems can be investigated by fitting mechanistic stochastic dynamic models to time series data. In this context, commonly used Monte Carlo inference procedures for model selection and parameter estimation quickly become…

Methodology · Statistics 2025-11-24 Jesse Wheeler , Aaron J. Abkemeier , Edward L. Ionides

We propose a Bayesian nonparametric method for low-pass filtering that can naturally handle unevenly-sampled and noise-corrupted observations. The proposed model is constructed as a latent-factor model for time series, where the latent…

Machine Learning · Statistics 2019-02-12 Cristobal Valenzuela , Felipe Tobar

We continue the recent line of research studying information dissemination problems in adversarial dynamic radio networks. We give two generic algorithms which allow to transform generalized version of single-message broadcast algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-11 Mohamad Ahmadi , Fabian Kuhn

We present a Bayesian data fusion method to approximate a posterior distribution from an ensemble of particle estimates that only have access to subsets of the data. Our approach relies on approximate probabilistic inference of model…

Computation · Statistics 2020-10-28 Caleb Miller , Michael D. Schneider , Jem N. Corcoran , Jason Bernstein

We present a model for exact recursive Bayesian filtering based on lifted multiset states. Combining multisets with lifting makes it possible to simultaneously exploit multiple strategies for reducing inference complexity when compared to…

Artificial Intelligence · Computer Science 2018-05-08 Stefan Lüdtke , Max Schröder , Sebastian Bader , Kristian Kersting , Thomas Kirste

Despite their theoretical importance, dynamic Bayesian networks associated with quantum processes are currently not accessible experimentally. We here describe a general scheme to determine the multi-time path probability of a Bayesian…

Quantum Physics · Physics 2021-04-06 Kaonan Micadei , Gabriel T. Landi , Eric Lutz

Inverse problems are ubiquitous because they formalize the integration of data with mathematical models. In many scientific applications the forward model is expensive to evaluate, and adjoint computations are difficult to employ; in this…

Dynamical Systems · Mathematics 2021-11-05 G. A. Pavliotis , A. M. Stuart , U. Vaes

Network alignment generalizes and unifies several approaches for forming a matching or alignment between the vertices of two graphs. We study a mathematical programming framework for network alignment problem and a sparse variation of it…

Optimization and Control · Mathematics 2011-11-03 Mohsen Bayati , David F. Gleich , Amin Saberi , Ying Wang

Bayesian inference offers a principled account of information processing in natural agents. However, it remains an open question how neural mechanisms perform their abstract operations. We investigate a hypothesis where a distributed form…

Neural and Evolutionary Computing · Computer Science 2025-12-12 Sepideh Adamiat , Wouter M. Kouw , Bert de Vries

Recursive Bayesian inference, in which posterior beliefs are updated in light of accumulating data, is a tool for implementing Bayesian models in applications with streaming and/or very large data sets. As the posterior of one iteration…

Methodology · Statistics 2025-08-05 Henry R. Scharf

Cooperative localization (CL) is an important technology for innovative services such as location-aware communication networks, modern convenience, and public safety. We consider wireless networks with mobile agents that aim to localize…

Signal Processing · Electrical Eng. & Systems 2024-01-12 Lukas Wielandner , Erik Leitinger , Florian Meyer , Klaus Witrisal
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