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The robust estimation of dynamically changing features, such as the position of prey, is one of the hallmarks of perception. On an abstract, algorithmic level, nonlinear Bayesian filtering, i.e. the estimation of temporally changing signals…

神经元与认知 · 定量生物学 2022-01-05 Anna Kutschireiter , Simone Carlo Surace , Henning Sprekeler , Jean-Pascal Pfister

Dynamic Bayesian networks (DBNs) are a general model for stochastic processes with partially observed states. Belief filtering in DBNs is the task of inferring the belief state (i.e. the probability distribution over process states) based…

人工智能 · 计算机科学 2019-07-15 Stefano V. Albrecht , Subramanian Ramamoorthy

Dynamic Bayesian networks (DBNs) are a general model for stochastic processes with partially observed states. Belief filtering in DBNs is the task of inferring the belief state (i.e. the probability distribution over process states) based…

人工智能 · 计算机科学 2016-04-26 Stefano V. Albrecht , Subramanian Ramamoorthy

Generative Bayesian Filtering (GBF) provides a powerful and flexible framework for performing posterior inference in complex nonlinear and non-Gaussian state-space models. Our approach extends Generative Bayesian Computation (GBC) to…

统计方法学 · 统计学 2025-11-07 Edoardo Marcelli , Sean O'Hagan , Veronika Rockova

We introduce Deep Variational Bayes Filters (DVBF), a new method for unsupervised learning and identification of latent Markovian state space models. Leveraging recent advances in Stochastic Gradient Variational Bayes, DVBF can overcome…

机器学习 · 统计学 2017-03-06 Maximilian Karl , Maximilian Soelch , Justin Bayer , Patrick van der Smagt

Bayesian filtering for high-dimensional nonlinear stochastic dynamical systems is a fundamental yet challenging problem in many fields of science and engineering. Existing methods face significant obstacles: Gaussian-based filters struggle…

数值分析 · 数学 2025-03-06 Xintong Wang , Xiaofei Guan , Ling Guo , Hao Wu

We derive ensembles of decision trees through a nonparametric Bayesian model, allowing us to view random forests as samples from a posterior distribution. This insight provides large gains in interpretability, and motivates a class of…

应用统计 · 统计学 2015-05-19 Matt Taddy , Chun-Sheng Chen , Jun Yu , Mitch Wyle

Learning-based control approaches have shown great promise in performing complex tasks directly from high-dimensional perception data for real robotic systems. Nonetheless, the learned controllers can behave unexpectedly if the trajectories…

机器人学 · 计算机科学 2023-01-31 Fernando Castañeda , Haruki Nishimura , Rowan McAllister , Koushil Sreenath , Adrien Gaidon

The problem of belief tracking in the presence of stochastic actions and observations is pervasive and yet computationally intractable. In this work we show however that probabilistic beliefs can be maintained in factored form exactly and…

人工智能 · 计算机科学 2019-10-01 Blai Bonet , Hector Geffner

Recurrent neural networks (RNNs) have been extraordinarily successful for prediction with sequential data. To tackle highly variable and noisy real-world data, we introduce Particle Filter Recurrent Neural Networks (PF-RNNs), a new RNN…

机器学习 · 计算机科学 2019-12-03 Xiao Ma , Peter Karkus , David Hsu , Wee Sun Lee

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…

统计方法学 · 统计学 2025-08-05 Henry R. Scharf

Bayesian Non-negative Matrix Factorization (NMF) is a promising approach for understanding uncertainty and structure in matrix data. However, a large volume of applied work optimizes traditional non-Bayesian NMF objectives that fail to…

机器学习 · 统计学 2018-03-19 M. Arjumand Masood , Finale Doshi-Velez

The particle filter is a powerful framework for estimating hidden states in dynamic systems where uncertainty, noise, and nonlinearity dominate. This mini-book offers a clear and structured introduction to the core ideas behind particle…

统计计算 · 统计学 2025-11-04 Sahil Rajesh Dhayalkar

Exact monitoring in dynamic Bayesian networks is intractable, so approximate algorithms are necessary. This paper presents a new family of approximate monitoring algorithms that combine the best qualities of the particle filtering and…

人工智能 · 计算机科学 2013-01-07 Brenda Ng , Leonid Peshkin , Avi Pfeffer

Methods based on Deep Learning have recently been applied on astrophysical parameter recovery thanks to their ability to capture information from complex data. One of these methods is the approximate Bayesian Neural Networks (BNNs) which…

天体物理仪器与方法 · 物理学 2023-06-21 Héctor J. Hortúa , Luz Ángela García , Leonardo Castañeda C

Filtering is a general name for inferring the states of a dynamical system given observations. The most common filtering approach is Gaussian Filtering (GF) where the distribution of the inferred states is a Gaussian whose mean is an affine…

信号处理 · 电气工程与系统科学 2018-11-21 Arash Mehrjou , Bernhard Schölkopf

Bayesian Belief Networks (BBNs) are a powerful formalism for reasoning under uncertainty but bear some severe limitations: they require a large amount of information before any reasoning process can start, they have limited contradiction…

人工智能 · 计算机科学 2013-02-28 Marco Ramoni , Alberto Riva

The task of quantifying the inherent uncertainty associated with neural network predictions is a key challenge in artificial intelligence. Bayesian neural networks (BNNs) and deep ensembles are among the most prominent approaches to tackle…

机器学习 · 计算机科学 2025-05-23 Valentin Villecroze , Yixin Wang , Gabriel Loaiza-Ganem

The Gaussian Filter (GF) is one of the most widely used filtering algorithms; instances are the Extended Kalman Filter, the Unscented Kalman Filter and the Divided Difference Filter. GFs represent the belief of the current state by a…

机器人学 · 计算机科学 2015-06-09 Manuel Wüthrich , Sebastian Trimpe , Daniel Kappler , Stefan Schaal

This paper introduces a new probabilistic model for online learning which dynamically incorporates information from stochastic gradients of an arbitrary loss function. Similar to probabilistic filtering, the model maintains a Gaussian…

机器学习 · 统计学 2015-05-27 Pedro A. Ortega , Koby Crammer , Daniel D. Lee
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