Search Results - "Agapiou, Sergios"

Posterior contraction rates for the Bayesian approach to linear ill-posed inverse problems by Agapiou, Sergios, Larsson, Stig, Stuart, Andrew M.

“…We consider a Bayesian nonparametric approach to a family of linear inverse problems in a separable Hilbert space setting with Gaussian noise. We assume…”
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Modeling the first wave of Covid-19 pandemic in the Republic of Cyprus by Agapiou, Sergios, Anastasiou, Andreas, Baxevani, Anastassia, Nicolaides, Christos, Hadjigeorgiou, Georgios, Christofides, Tasos, Constantinou, Elisavet, Nikolopoulos, Georgios, Fokianos, Konstantinos

“…We present different data analytic methodologies that have been applied in order to understand the evolution of the first wave of the Coronavirus disease 2019…”
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Heavy-tailed Bayesian nonparametric adaptation by Agapiou, Sergios, Castillo, Ismaël

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Designing truncated priors for direct and inverse Bayesian problems by Agapiou, Sergios, Mathé, Peter

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Unbiased Monte Carlo: Posterior estimation for intractable/infinite-dimensional models by AGAPIOU, SERGIOS, ROBERTS, GARETH O., VOLLMER, SEBASTIAN J.

“…We provide a general methodology for unbiased estimation for intractable stochastic models. We consider situations where the target distribution can be written…”
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Heavy-tailed Bayesian nonparametric adaptation by Agapiou, Sergios, Castillo, Ismaël

“…We propose a new Bayesian strategy for adaptation to smoothness in nonparametric models based on heavy tailed series priors. We illustrate it in a variety of…”
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Adaptive inference over Besov spaces in the white noise model using $p$-exponential priors by Agapiou, Sergios, Savva, Aimilia

“…In many scientific applications the aim is to infer a function which is smooth in some areas, but rough or even discontinuous in other areas of its domain…”
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Laplace priors and spatial inhomogeneity in Bayesian inverse problems by Agapiou, Sergios, Wang, Sven

“…Spatially inhomogeneous functions, which may be smooth in some regions and rough in other regions, are modelled naturally in a Bayesian manner using so-called…”
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Designing truncated priors for direct and inverse Bayesian problems by Agapiou, Sergios, Mathé, Peter

“…The Bayesian approach to inverse problems with functional unknowns, has received significant attention in recent years. An important component of the…”
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Aspects of bayesian inverse problems by Agapiou, Sergios

“…The goal of this thesis is to contribute to the formulation and understanding of the Bayesian approach to inverse problems in function space. To this end we…”
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Rates of contraction of posterior distributions based on $p$-exponential priors by Agapiou, Sergios, Dashti, Masoumeh, Helin, Tapio

“…We consider a family of infinite dimensional product measures with tails between Gaussian and exponential, which we call $p$-exponential measures. We study…”
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Preconditioning the prior to overcome saturation in Bayesian inverse problems by Agapiou, Sergios, Mathé, Peter

“…We study Bayesian inference in statistical linear inverse problems with Gaussian noise and priors in Hilbert space. We focus our interest on the posterior…”
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Modeling of Covid-19 Pandemic in Cyprus by Agapiou, Sergios, Anastasiou, Andreas, Baxevani, Anastassia, Christofides, Tasos, Constantinou, Elisavet, Hadjigeorgiou, Georgios, Nicolaides, Christos, Nikolopoulos, Georgios, Fokianos, Konstantinos

“…The Republic of Cyprus is a small island in the southeast of Europe and member of the European Union. The first wave of COVID-19 in Cyprus started in early…”
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Sparsity-promoting and edge-preserving maximum a posteriori estimators in non-parametric Bayesian inverse problems by Agapiou, Sergios, Burger, Martin, Dashti, Masoumeh, Helin, Tapio

“…We consider the inverse problem of recovering an unknown functional parameter $u$ in a separable Banach space, from a noisy observation $y$ of its image…”
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Posterior Contraction Rates for the Bayesian Approach to Linear Ill-Posed Inverse Problems by Agapiou, Sergios, Larsson, Stig, Stuart, Andrew M

“…Stochastic Process. Appl. 123 (2013), 3828-3860 We consider a Bayesian nonparametric approach to a family of linear inverse problems in a separable Hilbert…”
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Unbiased Monte Carlo: posterior estimation for intractable/infinite-dimensional models by Agapiou, Sergios, Roberts, Gareth O, Vollmer, Sebastian J

“…We provide a general methodology for unbiased estimation for intractable stochastic models. We consider situations where the target distribution can be written…”
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Analysis of the Gibbs sampler for hierarchical inverse problems by Agapiou, Sergios, Bardsley, Johnathan M, Papaspiliopoulos, Omiros, Stuart, Andrew M

“…Many inverse problems arising in applications come from continuum models where the unknown parameter is a field. In practice the unknown field is discretized…”
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Bayesian Posterior Contraction Rates for Linear Severely Ill-posed Inverse Problems by Agapiou, Sergios, Stuart, Andrew M, Zhang, Yuan-Xiang

“…We consider a class of linear ill-posed inverse problems arising from inversion of a compact operator with singular values which decay exponentially to zero…”
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