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Wed, 20 Apr 2016 00:00:00 -0400/home/about/
- About In my research I use insights from nonparametric and functional data analysis to devise new, rigorously guaranteed methods for solving dynamic economic models with infinite dimensional uncertainty and apply these methods to understand the dynamics of economic heterogeneity in a variety of contexts.
+ About In my research I combine approaches from Econometrics, Machine Learning, and High-dimensional Statistics to devise performant and theoretically sound methods for computation, estimation, and decision-making in structured, high-dimensional, dynamic environments, with applications to macroeconomics and causal inference.
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About
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In my research I use insights from nonparametric and functional data analysis to devise new, rigorously guaranteed methods for solving dynamic economic models with infinite dimensional uncertainty and apply these methods to understand the dynamics of economic heterogeneity in a variety of contexts.
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In my research I combine approaches from Econometrics, Machine Learning, and High-dimensional Statistics to devise performant and theoretically sound methods for computation, estimation, and decision-making in structured, high-dimensional, dynamic environments, with applications to macroeconomics and causal inference.
Differentiable State Space Models and Hamiltonian Monte Carl
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Abstract
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We propose a methodology to take dynamic stochastic general equilibrium (DSGE) models to the data based on the combination of differentiable state-space models and the Hamiltonian Monte Carlo (HMC) sampler. First, we introduce a method for implicit automatic differentiation of perturbation solutions of DSGE models with respect to the model’s parameters. We can use the resulting output for various tasks requiring gradients, such as building an HMC sampler, to estimate first- and second-order approximations of DSGE models. The availability of derivatives also enables a general filter-free method to estimate nonlinear, non-Gaussian DSGE models by sampling the joint likelihood of parameters and latent states. We show that the gradient-based joint likelihood sampling approach is superior in efficiency and robustness to standard Metropolis-Hastings samplers by estimating a canonical real business cycle model, a real small open economy model, and a medium-scale New Keynesian DSGE model.
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Differentiable State Space Models and Hamiltonian Monte Carl
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Publication
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Submitted
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Differentiable State Space Models and Hamiltonian Monte Carl
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+ NBER WP30573
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