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Approximate Bayesian computation (ABC) is a popular technique for approximating likelihoods and is often used in parameter estimation when the likelihood functions are analytically intractable. Although the use of ABC is widespread in many…

Statistics Theory · Mathematics 2011-03-29 Thomas A. Dean , Sumeetpal S. Singh , Ajay Jasra , Gareth W. Peters

Finite mixture models are used in statistics and other disciplines, but inference for mixture models is challenging due, in part, to the multimodality of the likelihood function and the so-called label switching problem. We propose…

Methodology · Statistics 2020-11-03 Umberto Simola , Jessi Cisewski-Kehe , Robert L. Wolpert

Approximate model-predictive control (AMPC) aims to imitate an MPC's behavior with a neural network, removing the need to solve an expensive optimization problem at runtime. However, during deployment, the parameters of the underlying MPC…

The development of statistical methods and numerical algorithms for model choice is vital to many real-world applications. In practice, the ABC approach can be instrumental for sequential model design; however, the theoretical basis of its…

Methodology · Statistics 2011-06-30 Oliver Ratmann , Pierre Pudlo , Sylvia Richardson , Christian Robert

AC State Estimation (ACSE) is widely recognized as a practical approach for determining the grid states in steady-state conditions. It serves as a fundamental analysis to ensure grid security and is a reference for market dispatch. As grid…

Systems and Control · Electrical Eng. & Systems 2025-06-11 Peng Sang , Amritanshu Pandey

A new recalibration post-processing method is presented to improve the quality of the posterior approximation when using Approximate Bayesian Computation (ABC) algorithms. Recalibration may be used in conjunction with existing…

Computation · Statistics 2017-04-24 G. S. Rodrigues , D. Prangle , S. A. Sisson

This paper proposes the application of fractional-order PID (FOPID) controller for output voltage control of boost converters. For this purpose, parameters of the FOPID controller are calculated such that the Integral Absolute Error (IAE)…

Optimization and Control · Mathematics 2013-12-31 Farshad Merrikh-Bayat , Alireza Jamshidi

The recent advances in power plants and energy resources have extended the applications of DC-DC converters in the power systems (especially in the context of DC micro-grids). Parameter identification can extract the parameters of the…

Systems and Control · Electrical Eng. & Systems 2021-09-09 Seyyed Rashid Khazeiynasab , Issa Batarseh

In this paper we develop optimal algorithms in the binary-forking model for a variety of fundamental problems, including sorting, semisorting, list ranking, tree contraction, range minima, and ordered set union, intersection and difference.…

Data Structures and Algorithms · Computer Science 2020-06-26 Guy E. Blelloch , Jeremy T. Fineman , Yan Gu , Yihan Sun

This paper presents a novel approach to enhance Model Predictive Control (MPC) for legged robots through Distributed Optimization. Our method focuses on decomposing the robot dynamics into smaller, parallelizable subsystems, and utilizing…

Robotics · Computer Science 2025-01-30 Lorenzo Amatucci , Giulio Turrisi , Angelo Bratta , Victor Barasuol , Claudio Semini

Model-based algorithms are deeply rooted in modern control and systems theory. However, they usually come with a critical assumption - access to an accurate model of the system. In practice, models are far from perfect. Even precisely tuned…

Systems and Control · Electrical Eng. & Systems 2022-04-06 Sebastian Schlor , Friedrich Solowjow , Sebastian Trimpe

We introduce a novel two-stage parameter estimation framework designed to improve computational efficiency in settings involving complex, stochastic, or analytically intractable dynamic models. The proposed method, termed…

Methodology · Statistics 2025-07-04 Renata Retkute , Christopher A. Gilligan

We introduce a new method for estimating the parameter of the bivariate Clayton copulas within the framework of Algorithmic Inference. The method consists of a variant of the standard boot-strapping procedure for inferring random…

Machine Learning · Statistics 2019-10-08 Bruno Apolloni

Currently, an increasing number of model pruning methods are proposed to resolve the contradictions between the computer powers required by the deep learning models and the resource-constrained devices. However, most of the traditional…

Computer Vision and Pattern Recognition · Computer Science 2021-10-11 Jiaqi Li , Haoran Li , Yaran Chen , Zixiang Ding , Nannan Li , Mingjun Ma , Zicheng Duan , Dongbing Zhao

A common problem in natural sciences is the comparison of competing models in the light of observed data. Bayesian model comparison provides a statistically sound framework for this comparison based on the evidence each model provides for…

Machine Learning · Statistics 2022-03-23 Jan Boelts

A vital stage in the mathematical modelling of real-world systems is to calibrate a model's parameters to observed data. Likelihood-free parameter inference methods, such as Approximate Bayesian Computation, build Monte Carlo samples of the…

Computation · Statistics 2021-12-23 Thomas P Prescott , Ruth E Baker

Approximate probabilistic inference algorithms are central to many fields. Examples include sequential Monte Carlo inference in robotics, variational inference in machine learning, and Markov chain Monte Carlo inference in statistics. A key…

Machine Learning · Statistics 2017-11-07 Marco F. Cusumano-Towner , Vikash K. Mansinghka

One of the important issues in wireless networks is the Routing problem that is effective on system performance, in this article the attempt is made to propose a routing algorithm using the bee colony in order to reduce energy consumption…

Networking and Internet Architecture · Computer Science 2012-09-18 Arash Ghorbannia Delavar , Elham Javiz

Approximate Bayesian Computation (ABC) provides methods for Bayesian inference in simulation-based stochastic models which do not permit tractable likelihoods. We present a new ABC method which uses probabilistic neural emulator networks to…

Machine Learning · Statistics 2019-05-21 Jan-Matthis Lueckmann , Giacomo Bassetto , Theofanis Karaletsos , Jakob H. Macke

Approximate Bayesian Computation (ABC) is a statistical learning technique to calibrate and select models by comparing observed data to simulated data. This technique bypasses the use of the likelihood and requires only the ability to…

Computation · Statistics 2021-05-04 Pierre-Olivier Goffard , Patrick J. Laub