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We formulate a discrete-time Bayesian stochastic volatility model for high-frequency stock-market data that directly accounts for microstructure noise, and outline a Markov chain Monte Carlo algorithm for parameter estimation. The methods…

Applications · Statistics 2016-02-02 Georgi Dinolov , Abel Rodriguez , Hongyun Wang

This article considers Bayesian model inference on binary model spaces. Binary model spaces are used by a large class of models, including graphical models, variable selection, mixture distributions, and decision trees. Traditional…

Methodology · Statistics 2026-04-03 Lucas Vogels , Reza Mohammadi , Marit Schoonhoven , Sinan Yildirim , Ilker Birbil

Computing long-timescale kinetics of biomolecular processes remains a major challenge for atomistic simulations. A way out is to exploit local kinetic information to construct the global stationary flux across the reaction space. The…

Chemical Physics · Physics 2026-05-19 Ru Wang , Xiaojun Ji , Hao Wang , Wenjian Liu

Stochastic simulations such as large-scale, spatiotemporal, age-structured epidemic models are computationally expensive at fine-grained resolution. While deep surrogate models can speed up the simulations, doing so for stochastic…

Machine Learning · Computer Science 2023-06-06 Dongxia Wu , Ruijia Niu , Matteo Chinazzi , Alessandro Vespignani , Yi-An Ma , Rose Yu

The stochastic reaction-diffusion model driven by a multiplicative noise is examined. We construct the gradient discretisation method (GDM), an abstract framework combining several numerical method families. The paper provides the…

Numerical Analysis · Mathematics 2024-07-11 Yahya Alnashri , Hasan Alzubaidi

Accurate condition monitoring of industrial equipment requires inferring latent degradation parameters from indirect sensor measurements under uncertainty. While traditional Bayesian methods like Markov Chain Monte Carlo (MCMC) provide…

Machine Learning · Computer Science 2026-04-23 Peter Collett , Alexander Johannes Stasik , Simone Casolo , Signe Riemer-Sørensen

This paper introduces a framework for speeding up Bayesian inference conducted in presence of large datasets. We design a Markov chain whose transition kernel uses an (unknown) fraction of (fixed size) of the available data that is randomly…

Methodology · Statistics 2018-06-01 Florian Maire , Nial Friel , Pierre Alquier

We consider Bayesian inference when only a limited number of noisy log-likelihood evaluations can be obtained. This occurs for example when complex simulator-based statistical models are fitted to data, and synthetic likelihood (SL) method…

Machine Learning · Statistics 2020-03-09 Marko Järvenpää , Michael Gutmann , Aki Vehtari , Pekka Marttinen

The simulation of complex stochastic network dynamics arising, for instance, from models of coupled biomolecular processes remains computationally challenging. Often, the necessity to scan a models' dynamics over a large parameter space…

Quantitative Methods · Quantitative Biology 2013-03-14 Tiago Ramalho , Marco Selig , Ulrich Gerland , Torsten A. Enßlin

We present Sequential Neural Variational Inference (SNVI), an approach to perform Bayesian inference in models with intractable likelihoods. SNVI combines likelihood-estimation (or likelihood-ratio-estimation) with variational inference to…

Machine Learning · Statistics 2022-10-20 Manuel Glöckler , Michael Deistler , Jakob H. Macke

Bayesian hierarchical models with latent Gaussian layers have proven very flexible in capturing complex stochastic behavior and hierarchical structures in high-dimensional spatial and spatio-temporal data. Whereas simulation-based Bayesian…

Methodology · Statistics 2017-08-10 Thomas Opitz

Relational events are a type of social interactions, that sometimes are referred to as dynamic networks. Its dynamics typically depends on emerging patterns, so-called endogenous variables, or external forces, referred to as exogenous…

Social and Information Networks · Computer Science 2023-03-31 Igor Artico , Ernst Wit

Linear mixed models are a versatile statistical tool to study data by accounting for fixed effects and random effects from multiple sources of variability. In many situations, a large number of candidate fixed effects is available and it is…

Methodology · Statistics 2022-09-09 Emanuele Degani , Luca Maestrini , Dorota Toczydłowska , Matt P. Wand

In this paper we consider Bayesian parameter inference associated to a class of partially observed stochastic differential equations (SDE) driven by jump processes. Such type of models can be routinely found in applications, of which we…

Neurons and Cognition · Quantitative Biology 2024-12-03 Mohamed Maama , Ajay Jasra , Kengo Kamatani

This work presents an efficient approach for accelerating multilevel Markov Chain Monte Carlo (MCMC) sampling for large-scale problems using low-fidelity machine learning models. While conventional techniques for large-scale Bayesian…

Machine Learning · Statistics 2024-05-21 Sohail Reddy , Hillary Fairbanks

Statistical models can involve implicitly defined quantities, such as solutions to nonlinear ordinary differential equations (ODEs), that unavoidably need to be numerically approximated in order to evaluate the model. The approximation…

Computation · Statistics 2024-09-16 Juho Timonen , Nikolas Siccha , Ben Bales , Harri Lähdesmäki , Aki Vehtari

Using Kalman techniques, it is possible to perform optimal estimation in linear Gaussian state-space models. We address here the case where the noise probability density functions are of unknown functional form. A flexible Bayesian…

Statistics Theory · Mathematics 2009-11-13 François Caron , Manuel Davy , Arnaud Doucet , Emmanuel Duflos , Philippe Vanheeghe

The efficient management of large-scale queueing networks is critical for a variety of sectors, including healthcare, logistics, and customer service, where system performance has profound implications for operational effectiveness and cost…

Methodology · Statistics 2024-02-22 L. Jeff Hong , Yingda Song , Tan Wang

This paper tackles the challenge of parameter calibration in stochastic models, particularly in scenarios where the likelihood function is unavailable in an analytical form. We introduce a gradient-based simulated parameter estimation…

Machine Learning · Statistics 2025-03-25 Zehao Li , Yijie Peng

Dynamic DNN optimization techniques such as layer-skipping offer increased adaptability and efficiency gains but can lead to i) a larger memory footprint as in decision gates, ii) increased training complexity (e.g., with non-differentiable…

Machine Learning · Computer Science 2025-05-26 Guilherme Korol , Antonio Carlos Schneider Beck , Jeronimo Castrillon
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