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This paper develops a novel sequential Monte Carlo (SMC) approach for joint state and parameter estimation that can deal efficiently with abruptly changing parameters which is a common case when tracking maneuvering targets. The approach…

Computation · Statistics 2015-10-12 Christopher Nemeth , Paul Fearnhead , Lyudmila Mihaylova

Online solvers for partially observable Markov decision processes have difficulty scaling to problems with large action spaces. Monte Carlo tree search with progressive widening attempts to improve scaling by sampling from the action space…

Artificial Intelligence · Computer Science 2021-11-04 John Mern , Anil Yildiz , Zachary Sunberg , Tapan Mukerji , Mykel J. Kochenderfer

Modern quantum Monte Carlo (QMC) methods often capture electron correlation through both explicitly correlating Jastrow factors and small to mid-sized configuration interaction (CI) expansions. Here, we study the additional optimization…

Chemical Physics · Physics 2023-02-08 Scott M. Garner , Eric Neuscamman

Hamiltonian Monte Carlo (HMC) is a Markov chain Monte Carlo (MCMC) approach that exhibits favourable exploration properties in high-dimensional models such as neural networks. Unfortunately, HMC has limited use in large-data regimes and…

Machine Learning · Statistics 2020-10-15 Adam D. Cobb , Brian Jalaian

We propose a global optimization algorithm based on the Sequential Monte Carlo (SMC) sampling framework. In this framework, the objective function is normalized to be a probabilistic density function (pdf), based on which a sequence of…

Computation · Statistics 2016-07-15 Bin Liu

Hierarchical Bayesian models based on Gaussian processes are considered useful for describing complex nonlinear statistical dependencies among variables in real-world data. However, effective Monte Carlo algorithms for inference with these…

Machine Learning · Statistics 2025-11-11 Takashi Hayakawa , Satoshi Asai

Stochastic reaction network models are often used to explain and predict the dynamics of gene regulation in single cells. These models usually involve several parameters, such as the kinetic rates of chemical reactions, that are not…

Computation · Statistics 2020-01-07 Thomas A. Catanach , Huy D. Vo , Brian Munsky

We present a novel technique for tailoring Bayesian quadrature (BQ) to model selection. The state-of-the-art for comparing the evidence of multiple models relies on Monte Carlo methods, which converge slowly and are unreliable for…

Machine Learning · Computer Science 2019-03-04 Henry Chai , Jean-Francois Ton , Roman Garnett , Michael A. Osborne

This paper focuses on Bayesian Optimization in combinatorial spaces. In many applications in the natural science. Broad applications include the study of molecules, proteins, DNA, device structures and quantum circuit designs, a on…

Machine Learning · Computer Science 2020-11-13 Tony C. Wu , Daniel Flam-Shepherd , Alán Aspuru-Guzik

We propose a novel class of Sequential Monte Carlo (SMC) algorithms, appropriate for inference in probabilistic graphical models. This class of algorithms adopts a divide-and-conquer approach based upon an auxiliary tree-structured…

In this paper, we introduce a quantum-enhanced algorithm for simulation-based optimization. Simulation-based optimization seeks to optimize an objective function that is computationally expensive to evaluate exactly, and thus, is…

Quantum Physics · Physics 2021-03-08 Julien Gacon , Christa Zoufal , Stefan Woerner

This paper concerns the use of sequential Monte Carlo methods (SMC) for smoothing in general state space models. A well-known problem when applying the standard SMC technique in the smoothing mode is that the resampling mechanism introduces…

Statistics Theory · Mathematics 2008-03-06 Jimmy Olsson , Olivier Cappé , Randal Douc , Eric Moulines

This paper studies the problem of globally optimizing a variable of interest that is part of a causal model in which a sequence of interventions can be performed. This problem arises in biology, operational research, communications and,…

Machine Learning · Statistics 2020-05-27 Virginia Aglietti , Xiaoyu Lu , Andrei Paleyes , Javier González

Leveraging planning during learning and decision-making is central to the long-term development of intelligent agents. Recent works have successfully combined tree-based search methods and self-play learning mechanisms to this end. However,…

Artificial Intelligence · Computer Science 2024-11-01 Matthew V Macfarlane , Edan Toledo , Donal Byrne , Paul Duckworth , Alexandre Laterre

Sampling from complicated probability distributions is a hard computational problem arising in many fields, including statistical physics, optimization, and machine learning. Quantum computers have recently been used to sample from…

The famous least squares Monte Carlo (LSM) algorithm combines linear least square regression with Monte Carlo simulation to approximately solve problems in stochastic optimal stopping theory. In this work, we propose a quantum LSM based on…

Quantum Physics · Physics 2023-07-28 João F. Doriguello , Alessandro Luongo , Jinge Bao , Patrick Rebentrost , Miklos Santha

Modern signal processing (SP) methods rely very heavily on probability and statistics to solve challenging SP problems. SP methods are now expected to deal with ever more complex models, requiring ever more sophisticated computational…

Massively parallel desktop computing capabilities now well within the reach of individual academics modify the environment for posterior simulation in fundamental and potentially quite advantageous ways. But to fully exploit these benefits…

Computation · Statistics 2013-04-17 Garland Durham , John Geweke

Markov Chain Monte Carlo based Bayesian data analysis has now become the method of choice for analyzing and interpreting data in almost all disciplines of science. In astronomy, over the last decade, we have also seen a steady increase in…

Instrumentation and Methods for Astrophysics · Physics 2017-08-30 Sanjib Sharma

We propose an algorithm for Bayesian functional optimisation - that is, finding the function to optimise a process - guided by experimenter beliefs and intuitions regarding the expected characteristics (length-scale, smoothness, cyclicity…

Machine Learning · Computer Science 2020-09-09 Alistair Shilton , Sunil Gupta , Santu Rana , Svetha Venkatesh
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