Search Results for author: Alessio Spantini

Found 4 papers, 2 papers with code

Coupling techniques for nonlinear ensemble filtering

no code implementations30 Jun 2019 Alessio Spantini, Ricardo Baptista, Youssef Marzouk

We consider filtering in high-dimensional non-Gaussian state-space models with intractable transition kernels, nonlinear and possibly chaotic dynamics, and sparse observations in space and time.

Greedy inference with structure-exploiting lazy maps

1 code implementation NeurIPS 2020 Michael C. Brennan, Daniele Bigoni, Olivier Zahm, Alessio Spantini, Youssef Marzouk

We prove weak convergence of the generated sequence of distributions to the posterior, and we demonstrate the benefits of the framework on challenging inference problems in machine learning and differential equations, using inverse autoregressive flows and polynomial maps as examples of the underlying density estimators.

Bayesian Inference

A Stein variational Newton method

1 code implementation NeurIPS 2018 Gianluca Detommaso, Tiangang Cui, Alessio Spantini, Youssef Marzouk, Robert Scheichl

Stein variational gradient descent (SVGD) was recently proposed as a general purpose nonparametric variational inference algorithm [Liu & Wang, NIPS 2016]: it minimizes the Kullback-Leibler divergence between the target distribution and its approximation by implementing a form of functional gradient descent on a reproducing kernel Hilbert space.

Variational Inference

Inference via low-dimensional couplings

no code implementations17 Mar 2017 Alessio Spantini, Daniele Bigoni, Youssef Marzouk

In the context of statistics and machine learning, these transformations can be used to couple a tractable "reference" measure (e. g., a standard Gaussian) with a target measure of interest.

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