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Our article deals with Bayesian inference for a general state space model with the simulated likelihood computed by the particle filter. We show empirically that the partially or fully adapted particle filters can be much more efficient…

Methodology · Statistics 2010-06-11 Michael Pitt , Ralph Silva , Paolo Giordani , Robert Kohn

When classical particle filtering algorithms are used for maximum likelihood parameter estimation in nonlinear state-space models, a key challenge is that estimates of the likelihood function and its derivatives are inherently noisy. The…

Computation · Statistics 2017-11-30 Andreas Svensson , Fredrik Lindsten , Thomas B. Schön

We combine conditional state density construction with an extension of the Scenario Approach for stochastic Model Predictive Control to nonlinear systems to yield a novel particle-based formulation of stochastic nonlinear output-feedback…

Optimization and Control · Mathematics 2020-05-01 Martin A. Sehr , Robert R. Bitmead

We consider a non-linear filtering problem, whereby the signal obeys the stochastic Navier-Stokes equations and is observed through a linear mapping with additive noise. The setup is relevant to data assimilation for numerical weather…

Computation · Statistics 2018-04-10 Francesc Pons Llopis , Nikolas Kantas , Alexandros Beskos , Ajay Jasra

This paper presents a novel algorithm for efficient online estimation of the filter derivatives in general hidden Markov models. The algorithm, which has a linear computational complexity and very limited memory requirements, is furnished…

Computation · Statistics 2019-01-10 Jimmy Olsson , Johan Westerborn Alenlöv

We propose a novel particle filter for convolutional-correlation visual trackers. Our method uses correlation response maps to estimate likelihood distributions and employs these likelihoods as proposal densities to sample particles.…

Computer Vision and Pattern Recognition · Computer Science 2020-06-15 Reza Jalil Mozhdehi , Henry Medeiros

Rolling forecasts have been almost overlooked in the renewable energy storage literature. In this paper, we provide a new approach for handling uncertainty not just in the accuracy of a forecast, but in the evolution of forecasts over time.…

Optimization and Control · Mathematics 2022-04-18 Saeed Ghadimi , Warren B. Powell

Particle smoothers are widely used algorithms allowing to approximate the smoothing distribution in hidden Markov models. Existing algorithms often suffer from slow computational time or degeneracy. We propose in this paper a way to improve…

Methodology · Statistics 2011-07-28 Cyrille Dubarry , Randal Douc

Lagrangian Particle Tracking (LPT) enables practitioners to study various concepts in turbulence by measuring particle positions in flows of interest. This data is subject to measurement errors, and filtering techniques are applied to…

Fluid Dynamics · Physics 2026-01-16 Griffin M. Kearney , Kasey M. Laurent , Reece V. Kearney

Pumped storage hydro units (PSHU) are great sources of flexibility in power systems. This is especially valuable in modern systems with increasing shares of intermittent renewable resources. However, the flexibility from PSHUs, particularly…

Systems and Control · Electrical Eng. & Systems 2023-04-11 Bing Huang , Arezou Ghesmati , Yonghong Chen , Ross Baldick

In the following article we develop a particle filter for approximating Feynman-Kac models with indicator potentials. Examples of such models include approximate Bayesian computation (ABC) posteriors associated with hidden Markov models…

Computation · Statistics 2013-04-02 Ajay Jasra , Anthony Lee , Christopher Yau , Xiaole Zhang

Sequential Monte Carlo methods, also known as particle methods, are a widely used set of computational tools for inference in non-linear non-Gaussian state-space models. In many applications it may be necessary to compute the sensitivity,…

Statistics Theory · Mathematics 2011-06-14 Pierre Del Moral , Arnaud Doucet , Sumeetpal Singh

This article discusses a partially adapted particle filter for estimating the likelihood of a nonlinear structural econometric state space models whose state transition density cannot be expressed in closed form. The filter generates the…

Methodology · Statistics 2012-09-05 Jamie Hall , Michael K. Pitt , Robert Kohn

We propose a state-space model (SSM) for commodity prices that combines the competitive storage model with a stochastic trend. This approach fits into the economic rationality of storage decisions, and adds to previous deterministic trend…

Applications · Statistics 2020-01-14 Kjartan Kloster Osmundsen , Tore Selland Kleppe , Roman Liesenfeld , Atle Oglend

Continuous-time Markov processes over finite state-spaces are widely used to model dynamical processes in many fields of natural and social science. Here, we introduce an maximum likelihood estimator for constructing such models from data…

Data Analysis, Statistics and Probability · Physics 2015-07-01 Robert T. McGibbon , Vijay S. Pande

Multi-sensor state space models underpin fusion applications in networks of sensors. Estimation of latent parameters in these models has the potential to provide highly desirable capabilities such as network self-calibration. Conventional…

Systems and Control · Computer Science 2018-01-04 Murat Uney , Bernard Mulgrew , Daniel E Clark

In this paper, an alternative approximation to the innovation method is introduced for the parameter estimation of diffusion processes from partial and noisy observations. This is based on a convergent approximation to the first two…

Optimization and Control · Mathematics 2013-12-19 J. C. Jimenez

Kalman filtering has been traditionally applied in three application areas of estimation, state estimation, parameter estimation (a.k.a. model updating), and dual estimation. However, Kalman filter is often not sufficient when experimenting…

Systems and Control · Electrical Eng. & Systems 2019-11-11 Johnny Condori , Amin Maghareh , Shirley Dyke

This paper is concerned with particle filtering for $\alpha$-stable stochastic volatility models. The $\alpha$-stable distribution provides a flexible framework for modeling asymmetry and heavy tails, which is useful when modeling financial…

Computation · Statistics 2014-05-20 Emilian Vankov , Katherine B. Ensor

Energy storage are strategic participants in electricity markets to arbitrage price differences. Future power system operators must understand and predict strategic storage arbitrage behaviors for market power monitoring and capacity…

Systems and Control · Electrical Eng. & Systems 2024-02-02 Yuexin Bian , Ningkun Zheng , Yang Zheng , Bolun Xu , Yuanyuan Shi
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