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Stein's method meets computational statistics: A review of some recent developments
Stein's method compares probability distributions through the study of a class of linear
operators called Stein operators. While mainly studied in probability and used to underpin …
operators called Stein operators. While mainly studied in probability and used to underpin …
An optimization-centric view on Bayes' rule: Reviewing and generalizing variational inference
We advocate an optimization-centric view of Bayesian inference. Our inspiration is the
representation of Bayes' rule as infinite-dimensional optimization (Csisz´ r, 1975; Donsker …
representation of Bayes' rule as infinite-dimensional optimization (Csisz´ r, 1975; Donsker …
Score matching enables causal discovery of nonlinear additive noise models
This paper demonstrates how to recover causal graphs from the score of the data
distribution in non-linear additive (Gaussian) noise models. Using score matching …
distribution in non-linear additive (Gaussian) noise models. Using score matching …
Statistical efficiency of score matching: The view from isoperimetry
Deep generative models parametrized up to a normalizing constant (eg energy-based
models) are difficult to train by maximizing the likelihood of the data because the likelihood …
models) are difficult to train by maximizing the likelihood of the data because the likelihood …
Robust generalised Bayesian inference for intractable likelihoods
Generalised Bayesian inference updates prior beliefs using a loss function, rather than a
likelihood, and can therefore be used to confer robustness against possible mis …
likelihood, and can therefore be used to confer robustness against possible mis …
Generalized variational inference: Three arguments for deriving new posteriors
We advocate an optimization-centric view on and introduce a novel generalization of
Bayesian inference. Our inspiration is the representation of Bayes' rule as infinite …
Bayesian inference. Our inspiration is the representation of Bayes' rule as infinite …
Learning the stein discrepancy for training and evaluating energy-based models without sampling
We present a new method for evaluating and training unnormalized density models. Our
approach only requires access to the gradient of the unnormalized model's log-density. We …
approach only requires access to the gradient of the unnormalized model's log-density. We …
Robust and scalable Bayesian online changepoint detection
M Altamirano, FX Briol… - … Conference on Machine …, 2023 - proceedings.mlr.press
This paper proposes an online, provably robust, and scalable Bayesian approach for
changepoint detection. The resulting algorithm has key advantages over previous work: it …
changepoint detection. The resulting algorithm has key advantages over previous work: it …
Provable benefits of score matching
C Pabbaraju, D Rohatgi, AP Sevekari… - Advances in …, 2023 - proceedings.neurips.cc
Score matching is an alternative to maximum likelihood (ML) for estimating a probability
distribution parametrized up to a constant of proportionality. By fitting the''score''of the …
distribution parametrized up to a constant of proportionality. By fitting the''score''of the …
Robust and conjugate Gaussian process regression
To enable closed form conditioning, a common assumption in Gaussian process (GP)
regression is independent and identically distributed Gaussian observation noise. This …
regression is independent and identically distributed Gaussian observation noise. This …