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This presentation describes the Bayesian Block algorithm in the context of its application to analysis of time series data from the Fermi Gamma Ray Space Telescope. More generally this algorithm performs optimal segmentation analysis on…

Instrumentation and Methods for Astrophysics · Physics 2013-05-28 Jeffrey D. Scargle , Jay P. Norris , Brad Jackson , James Chiang

Feature selection represents a measure to reduce the complexity of high-dimensional datasets and gain insights into the systematic variation in the data. This aspect is of specific importance in domains that rely on model interpretability,…

Machine Learning · Computer Science 2022-09-07 Anna Jenul , Stefan Schrunner , Jürgen Pilz , Oliver Tomic

We derive a novel generative model from iterative Gaussian posterior inference. By treating the generated sample as an unknown variable, we can formulate the sampling process in the language of Bayesian probability. Our model uses a…

Machine Learning · Computer Science 2026-01-28 Marten Lienen , Marcel Kollovieh , Stephan Günnemann

Bayesian filtering approximates the true underlying behavior of a time-varying system by inverting an explicit generative model to convert noisy measurements into state estimates. This process typically requires either storage, inversion,…

Machine Learning · Computer Science 2023-11-20 Gianluca M. Bencomo , Jake C. Snell , Thomas L. Griffiths

We present a new approach for inference in Bayesian networks, which is mainly based on partial differentiation. According to this approach, one compiles a Bayesian network into a multivariate polynomial and then computes the partial…

Artificial Intelligence · Computer Science 2013-01-18 Adnan Darwiche

Humans have an impressive ability to reason about new concepts and experiences from just a single example. In particular, humans have an ability for one-shot generalization: an ability to encounter a new concept, understand its structure,…

Machine Learning · Statistics 2016-05-26 Danilo Jimenez Rezende , Shakir Mohamed , Ivo Danihelka , Karol Gregor , Daan Wierstra

Statistical inference can be seen as information processing involving input information and output information that updates belief about some unknown parameters. We consider the Bayesian framework for making inferences about dynamical…

Statistics Theory · Mathematics 2022-01-17 Artur O. Lopes , Silvia R. C. Lopes , Paulo Varandas

Bayesian filtering deals with computing the posterior distribution of the state of a stochastic dynamic system given noisy observations. In this paper, motivated by applications in counter-adversarial systems, we consider the following…

Systems and Control · Electrical Eng. & Systems 2020-10-28 Robert Mattila , Cristian R. Rojas , Vikram Krishnamurthy , Bo Wahlberg

This study presents a Bayesian learning perspective towards model predictive control algorithms. High-level frameworks have been developed separately in the earlier studies on Bayesian learning and sampling-based model predictive control.…

Machine Learning · Computer Science 2022-03-14 Namhoon Cho , Seokwon Lee , Hyo-Sang Shin , Antonios Tsourdos

In this paper we address the problem of discretization in the context of learning Bayesian networks (BNs) from data containing both continuous and discrete variables. We describe a new technique for <EM>multivariate</EM> discretization,…

Artificial Intelligence · Computer Science 2013-02-01 Stefano Monti , Gregory F. Cooper

A control algorithm for batch processing of mixed waste is proposed based on conditional Gaussian Bayesian networks. The network is compiled during batch staging for real-time response to sensor input.

Artificial Intelligence · Computer Science 2013-01-30 Robert L. Welch , Clayton Smith

In this paper, we propose a progressive Bayesian procedure, where the measurement information is continuously included into the given prior estimate (although we perform observations at discrete time steps). The key idea is to derive a…

Systems and Control · Computer Science 2012-04-03 Uwe D. Hanebeck , Jannik Steinbring

Objective priors for sequential experiments are considered. Common priors, such as the Jeffreys prior and the reference prior, will typically depend on the stopping rule used for the sequential experiment. New expressions for reference…

Statistics Theory · Mathematics 2008-12-18 Dongchu Sun , James O. Berger

Automatic anomaly detection is a major issue in various areas. Beyond mere detection, the identification of the origin of the problem that produced the anomaly is also essential. This paper introduces a general methodology that can assist…

Machine Learning · Statistics 2014-09-17 Tsirizo Rabenoro , Jérôme Lacaille , Marie Cottrell , Fabrice Rossi

We generalise an existing construction of Bayesian Lenses to admit lenses between pairs of objects where the backwards object is dependent on states on the forwards object (interpreted as probability distributions). This gives a natural…

Category Theory · Mathematics 2022-09-30 Dylan Braithwaite , Jules Hedges

Three different inferential problems related to a two dimensional categorical data from a Bayesian perspective have been discussed in this article. Conjugate prior distribution with symmetric and asymmetric hyper parameters are considered.…

Statistics Theory · Mathematics 2024-09-05 Samyajoy Pal , Christian Heumann , M. Subbiah

This paper presents a Bayesian generative model for dependent Cox point processes, alongside an efficient inference scheme which scales as if the point processes were modelled independently. We can handle missing data naturally, infer…

Machine Learning · Statistics 2014-07-28 Tom Gunter , Chris Lloyd , Michael A. Osborne , Stephen J. Roberts

We present a multi-objective Bayesian optimisation algorithm that allows the user to express preference-order constraints on the objectives of the type "objective A is more important than objective B". These preferences are defined based on…

Machine Learning · Computer Science 2019-11-14 Majid Abdolshah , Alistair Shilton , Santu Rana , Sunil Gupta , Svetha Venkatesh

Graphical models express conditional independence relationships among variables. Although methods for vector-valued data are well established, functional data graphical models remain underdeveloped. We introduce a notion of conditional…

Methodology · Statistics 2016-01-06 Hongxiao Zhu , Nate Strawn , David B. Dunson

In this paper we introduce a novel particle filter scheme for a class of partially-observed multivariate diffusions. %continuous-time dynamic models where the %signal is given by a multivariate diffusion process. We consider a variety of…

Methodology · Statistics 2007-10-24 Paul Fearnhead , Omiros Papaspiliopoulos , Gareth Roberts