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We address the problem of parameter estimation in models of systems biology from noisy observations. The models we consider are characterized by simultaneous deterministic nonlinear differential equations whose parameters are either taken…

Machine Learning · Statistics 2017-05-01 Xin Liu , Mahesan Niranjan

We derive the optimal proposal density for Approximate Bayesian Computation (ABC) using Sequential Monte Carlo (SMC) (or Population Monte Carlo, PMC). The criterion for optimality is that the SMC/PMC-ABC sampler maximise the effective…

Statistics Theory · Mathematics 2018-08-21 Justin Alsing , Benjamin D. Wandelt , Stephen M. Feeney

Bayesian models have become very popular over the last years in several fields such as signal processing, statistics, and machine learning. Bayesian inference requires the approximation of complicated integrals involving posterior…

Computation · Statistics 2021-07-20 Luca Martino , Víctor Elvira

This paper proposes a novel approach to determining the internal parameters of the hashing-based approximate model counting algorithm $\mathsf{ApproxMC}$. In this problem, the chosen parameter values must ensure that $\mathsf{ApproxMC}$ is…

Artificial Intelligence · Computer Science 2025-05-22 Jinping Lei , Toru Takisaka , Junqiang Peng , Mingyu Xiao

Approximate Bayesian Computation (ABC) methods are commonly used to approximate posterior distributions in models with unknown or computationally intractable likelihoods. Classical ABC methods are based on nearest neighbor type algorithms…

Methodology · Statistics 2025-06-24 Meili Baragatti , Casenave Céline , Bertrand Cloez , David Métivier , Isabelle Sanchez

This paper presents a sample-efficient data-driven method to design model predictive control (MPC) for cable-actuated soft robotics using Bayesian optimization. Instead of modeling the complex dynamics of the soft robots, the proposed…

Robotics · Computer Science 2022-10-18 Anuj Pal , Tianyi He , Wenpeng Wei

Bayes linear analysis and approximate Bayesian computation (ABC) are techniques commonly used in the Bayesian analysis of complex models. In this article we connect these ideas by demonstrating that regression-adjustment ABC algorithms…

Methodology · Statistics 2012-12-10 D. J. Nott , Y. Fan , L. Marshall , S. A. Sisson

Over decades, Markov chain Monte Carlo (MCMC) methods have been widely studied, with a typical application being the quantification of posterior uncertainties in Bayesian system identification of structural dynamic models. To address the…

Applications · Statistics 2026-04-28 Xianghao Meng , Yong Huang , James L. Beck , Kui Jiang , Hui Li

In this work, the problem of switching control design for DC-DC boost converter is considered, in the case of operation under uncertain equilibrium condition arising due to perturbations in the input and load parameters. Assuming that these…

Systems and Control · Electrical Eng. & Systems 2022-12-07 Saif Ahmad , Ryan P. C. de Souza , Pauline Kergus , Zohra Kader , Stephane Caux

Analog-to-digital converters (ADCs) facilitate the conversion of analog signals into a digital format. While the specific designs and settings of ADCs can vary depending on their applications, it is crucial in many modern applications to…

Signal Processing · Electrical Eng. & Systems 2023-12-19 Satish Mulleti , Timur Zirtiloglu , Arman Tan , Rabia Tugce Yazicigil , Yonina C. Eldar

The paper considers the calibration of control-bounded analog-to-digital converters. It is demonstrated that variations of the analog frontend can be addressed by calibrating the digital estimation filter. In simulations (both behavioral…

Systems and Control · Electrical Eng. & Systems 2023-11-15 Hampus Malmberg , Till Mettler , Thomas Burger , Fredrik Feyling , Hans-Andrea Loeliger

Posterior predictive p-values (ppps) have become popular tools for Bayesian model assessment, being general-purpose and easy to use. However, interpretation can be difficult because their distribution is not uniform under the hypothesis…

Methodology · Statistics 2024-02-01 Sally Paganin , Perry de Valpine

Simulation models for pedestrian crowds are a ubiquitous tool in research and industry. It is crucial that the parameters of these models are calibrated carefully and ultimately it will be of interest to compare competing models to decide…

Multiagent Systems · Computer Science 2020-05-13 Nikolai Bode

In this paper, an optimal approach based on on-off controller is used to optimally control a DC-DC step-down converter. It is shown that the conventional controller techniques of DC-DC converters based on a linearized averaging model have…

Systems and Control · Electrical Eng. & Systems 2020-02-19 Ali Parsa Sirat , Niloofar Zendehdel

There has been considerable interest in making Bayesian inference more scalable. In big data settings, most literature focuses on reducing the computing time per iteration, with less focused on reducing the number of iterations needed in…

Methodology · Statistics 2017-09-28 Leo L. Duan , James E. Johndrow , David B. Dunson

This study aims to investigate the utilization of Bayesian techniques for the calibration of micro-electro-mechanical systems (MEMS) accelerometers. These devices have garnered substantial interest in various practical applications and…

Signal Processing · Electrical Eng. & Systems 2023-06-13 Oliver Dürr , Po-Yu Fan , Zong-Xian Yin

We introduce a methodology for robust Bayesian estimation with robust divergence (e.g., density power divergence or {\gamma}-divergence), indexed by a single tuning parameter. It is well known that the posterior density induced by robust…

Methodology · Statistics 2022-07-04 Shouto Yonekura , Shonosuke Sugasawa

Boundary condition (BC) calibration to assimilate clinical measurements is an essential step in any subject-specific simulation of cardiovascular fluid dynamics. Bayesian calibration approaches have successfully quantified the uncertainties…

Computational Engineering, Finance, and Science · Computer Science 2024-07-31 Jakob Richter , Jonas Nitzler , Luca Pegolotti , Karthik Menon , Jonas Biehler , Wolfgang A. Wall , Daniele E. Schiavazzi , Alison L. Marsden , Martin R. Pfaller

Electrical power conversions are common in a large variety of engineering applications. With reference to AC/DC and DC/AC power conversions, a strong research interest resides in multilevel converters, thanks to the many advantages they…

Systems and Control · Electrical Eng. & Systems 2024-07-31 Davide Tebaldi , Roberto Zanasi

Approximate Bayesian computation (ABC) is an approach for sampling from an approximate posterior distribution in the presence of a computationally intractable likelihood function. A common implementation is based on simulating model,…

Methodology · Statistics 2013-01-16 D. Prangle , M. G. B. Blum , G. Popovic , S. A. Sisson