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• W4378194983 startingPage "1922" @default.
• W4378194983 abstract "State-space models (SSMs) are a powerful statistical tool for modelling time-varying systems via a latent state. In these models, the latent state is never directly observed. Instead, a sequence of data points related to the state are obtained. The linear-Gaussian state-space model is widely used, since it allows for exact inference when all model parameters are known, however this is rarely the case. The estimation of these parameters is a very challenging but essential task to perform inference and prediction. In the linear-Gaussian model, the state dynamics are described via a state transition matrix. This model parameter is known to behard to estimate, since it encodes the relationships between the state elements, which are never observed. In many applications, this transition matrix is sparse since not all state components directly affect all other state components. However, most parameter estimation methods do not exploit this feature. In this work we propose SpaRJ, a fully probabilistic Bayesian approach that obtains sparse samples from the posterior distribution of the transition matrix. Our method explores sparsity by traversing a set of models that exhibit differing sparsity patterns in the transition matrix. Moreover, we also design new effective rules to explore transition matrices within the same level of sparsity. This novel methodology has strong theoretical guarantees, and unveils the latent structure of the data generating process, thereby enhancing interpretability. The performance of SpaRJ is showcased in example with dimension 144 in the parameter space, and in a numerical example with real data." @default.
• W4378194983 created "2023-05-26" @default.
• W4378194983 creator A5049613399 @default.
• W4378194983 creator A5085691944 @default.
• W4378194983 date "2023-01-01" @default.
• W4378194983 modified "2023-10-18" @default.
• W4378194983 title "Sparse Bayesian Estimation of Parameters in Linear-Gaussian State-Space Models" @default.
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• W4378194983 doi "https://doi.org/10.1109/tsp.2023.3278867" @default.
• W4378194983 hasPublicationYear "2023" @default.
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