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This article addresses online variational estimation in parametric state-space models. We propose a new procedure for efficiently computing the evidence lower bound and its gradient in a streaming-data setting, where observations arrive…

Methodology · Statistics 2026-02-09 Mathis Chagneux , Mathias Müller , Pierre Gloaguen , Sylvain Le Corff , Jimmy Olsson

This paper proposes a new Sequential Monte Carlo algorithm to perform online estimation in the context of state space models when either the transition density of the latent state or the conditional likelihood of an observation given a…

Applications · Statistics 2021-05-10 Alice Martin , Marie-Pierre Etienne , Pierre Gloaguen , Sylvain Le Corff , Jimmy Olsson

We present a variational method for online state estimation and parameter learning in state-space models (SSMs), a ubiquitous class of latent variable models for sequential data. As per standard batch variational techniques, we use…

Machine Learning · Statistics 2022-06-16 Andrew Campbell , Yuyang Shi , Tom Rainforth , Arnaud Doucet

Machine learning optimization often depends on stochastic gradient descent, where the precision of gradient estimation is vital for model performance. Gradients are calculated from mini-batches formed by uniformly selecting data samples…

Machine Learning · Computer Science 2025-01-29 Corentin Salaün , Xingchang Huang , Iliyan Georgiev , Niloy J. Mitra , Gurprit Singh

Being the most classical generative model for serial data, state-space models (SSM) are fundamental in AI and statistical machine learning. In SSM, any form of parameter learning or latent state inference typically involves the computation…

Machine Learning · Statistics 2024-07-04 Alessandro Mastrototaro , Jimmy Olsson

Nonlinear state-space models are powerful tools to describe dynamical structures in complex time series. In a streaming setting where data are processed one sample at a time, simultaneous inference of the state and its nonlinear dynamics…

Machine Learning · Statistics 2023-06-06 Yuan Zhao , Josue Nassar , Ian Jordan , Mónica Bugallo , Il Memming Park

Variational inference approximates the posterior distribution of a probabilistic model with a parameterized density by maximizing a lower bound for the model evidence. Modern solutions fit a flexible approximation with stochastic gradient…

Machine Learning · Statistics 2017-07-13 Joseph Sakaya , Arto Klami

We present a latent variable model for classification that provides a novel probabilistic interpretation of neural network softmax classifiers. We derive a variational objective to train the model, analogous to the evidence lower bound…

Machine Learning · Computer Science 2024-01-10 Shehzaad Dhuliawala , Mrinmaya Sachan , Carl Allen

Importance sampling has been known as a powerful tool to reduce the variance of Monte Carlo estimator for rare event simulation. Based on the criterion of minimizing the variance of Monte Carlo estimator within a parametric family, we…

Methodology · Statistics 2013-02-11 Cheng-Der Fuh , Huei-Wen Teng , Ren-Her Wang

Monte Carlo methods are widely used importance sampling techniques for studying complex physical systems. Integrating these methods with deep learning has significantly improved efficiency and accuracy in high-dimensional problems and…

Disordered Systems and Neural Networks · Physics 2024-12-24 Yixiong Ren , Jianhui Zhou

Importance sampling is a rare event simulation technique used in Monte Carlo simulations to bias the sampling distribution towards the rare event of interest. By assigning appropriate weights to sampled points, importance sampling allows…

Developing efficient solutions for inference problems in intelligent sensor networks is crucial for the next generation of location, tracking, and mapping services. This paper develops a scalable distributed probabilistic inference…

Machine Learning · Computer Science 2023-10-24 Parth Paritosh , Nikolay Atanasov , Sonia Martinez

This paper introduces a new algorithm to approximate smoothed additive functionals for partially observed stochastic differential equations. This method relies on a recent procedure which allows to compute such approximations online, i.e.…

Methodology · Statistics 2018-03-14 Pierre Gloaguen , Marie-Pierre Etienne , Sylvain Le Corff

Monte Carlo methods, Variational Inference, and their combinations play a pivotal role in sampling from intractable probability distributions. However, current studies lack a unified evaluation framework, relying on disparate performance…

Machine Learning · Computer Science 2024-06-12 Denis Blessing , Xiaogang Jia , Johannes Esslinger , Francisco Vargas , Gerhard Neumann

Importance sampling is a Monte Carlo method which designs estimators of expectations under a target distribution using weighted samples from a proposal distribution. When the target distribution is complex, such as multimodal distributions…

Methodology · Statistics 2026-02-04 Anas Cherradi , Yazid Janati , Alain Durmus , Sylvain Le Corff , Yohan Petetin , Julien Stoehr

We propose a neural approach for estimating spatially varying light selection distributions to improve importance sampling in Monte Carlo rendering, particularly for complex scenes with many light sources. Our method uses a neural network…

Graphics · Computer Science 2025-05-20 Pedro Figueiredo , Qihao He , Steve Bako , Nima Khademi Kalantari

Driven by applications in telecommunication networks, we explore the simulation task of estimating rare event probabilities for tandem queues in their steady state. Existing literature has recognized that importance sampling methods can be…

Machine Learning · Computer Science 2025-04-22 Ruoning Zhao , Xinyun Chen

Computing smoothing distributions, the distributions of one or more states conditional on past, present, and future observations is a recurring problem when operating on general hidden Markov models. The aim of this paper is to provide a…

Probability · Mathematics 2012-02-15 Randal Douc , Aurélien Garivier , Eric Moulines , Jimmy Olsson

Online nonparametric estimators are gaining popularity due to their efficient computation and competitive generalization abilities. An important example includes variants of stochastic gradient descent. These algorithms often take one…

Statistics Theory · Mathematics 2025-07-08 Tianyu Zhang , Jing Lei

Large-scale streaming data are common in modern machine learning applications and have led to the development of online learning algorithms. Many fields, such as supply chain management, weather and meteorology, energy markets, and finance,…

Machine Learning · Statistics 2026-04-27 Simon Hirsch , Jonathan Berrisch , Florian Ziel
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