activity
20122026
most citedGaussian variational approximation with sparse precision matrices

49 citations · 196 across the 17 of their papers we have counts for

collaborators

17 papers

stat.ME2026

Generalized reparametrized variational Bayes with skew-symmetric normalization

Aoxiang Chen, Linda S. L. Tan

Bayesian hierarchical models with high-dimensional latent structure require scalable posterior approximations that preserve key dependencies while remaining computationally tractab…

stat.CO2025

Weighted Fisher divergence for high-dimensional Gaussian variational inference

Aoxiang Chen, David J. Nott, Linda S. L. Tan

Bayesian inference has many advantages for complex models, but standard Monte Carlo methods for summarizing the posterior can be computationally demanding, and it is attractive to…

stat.ME2023★ 6 cited

Variational inference based on a subclass of closed skew normals

Linda S. L. Tan, Aoxiang Chen

Gaussian distributions are widely used in Bayesian variational inference to approximate intractable posterior densities, but the ability to accommodate skewness can improve approxi…

stat.ME2022

Second order stochastic gradient update for Cholesky factor in Gaussian variational approximation from Stein's Lemma

Linda S. L. Tan

In stochastic variational inference, use of the reparametrization trick for the multivariate Gaussian gives rise to efficient updates for the mean and Cholesky factor of the covari…

stat.CO2021★ 5 cited

Analytic natural gradient updates for Cholesky factor in Gaussian variational approximation

Linda S. L. Tan

Natural gradients can improve convergence in stochastic variational inference significantly but inverting the Fisher information matrix is daunting in high dimensions. Moreover, in…

stat.CO2019

Conditionally structured variational Gaussian approximation with importance weights

Linda S. L. Tan, Aishwarya Bhaskaran, David J. Nott

We develop flexible methods of deriving variational inference for models with complex latent variable structure. By splitting the variables in these models into "global" parameters…

stat.CO2018

Bayesian variational inference for exponential random graph models

Linda S. L. Tan, Nial Friel

Deriving Bayesian inference for exponential random graph models (ERGMs) is a challenging "doubly intractable" problem as the normalizing constants of the likelihood and posterior d…

math.NA2018★ 2 cited

Explicit inverse of tridiagonal matrix with applications in autoregressive modeling

Linda S. L. Tan

We present the explicit inverse of a class of symmetric tridiagonal matrices which is almost Toeplitz, except that the first and last diagonal elements are different from the rest.…

stat.ME2017

Efficient data augmentation techniques for some classes of state space models

Linda S. L. Tan

Data augmentation improves the convergence of iterative algorithms, such as the EM algorithm and Gibbs sampler by introducing carefully designed latent variables. In this article,…

stat.AP2017★ 2 cited

Dynamic degree-corrected blockmodels for social networks: a nonparametric approach

Linda S. L. Tan, Maria De Iorio

A nonparametric approach to the modeling of social networks using degree-corrected stochastic blockmodels is proposed. The model for static network consists of a stochastic blockmo…

stat.CO2016★ 49 cited

Gaussian variational approximation with sparse precision matrices

Linda S. L. Tan, David J. Nott

We consider the problem of learning a Gaussian variational approximation to the posterior distribution for a high-dimensional parameter, where we impose sparsity in the precision m…

stat.ME2016★ 39 cited

Bayesian inference for multiple Gaussian graphical models with application to metabolic association networks

Linda S. L. Tan, Ajay Jasra, Maria De Iorio +1

We investigate the effect of cadmium (a toxic environmental pollutant) on the correlation structure of a number of urinary metabolites using Gaussian graphical models (GGMs). The i…

stat.ML2015★ 6 cited

Topic-adjusted visibility metric for scientific articles

Linda S. L. Tan, Aik Hui Chan, Tian Zheng

Measuring the impact of scientific articles is important for evaluating the research output of individual scientists, academic institutions and journals. While citations are raw da…

stat.AP2014★ 20 cited

Stochastic variational inference for large-scale discrete choice models using adaptive batch sizes

Linda S. L. Tan

Discrete choice models describe the choices made by decision makers among alternatives and play an important role in transportation planning, marketing research and other applicati…

stat.CO2013★ 19 cited

Variational inference for sparse spectrum Gaussian process regression

Linda S. L. Tan, Victor M. H. Ong, David J. Nott +1

We develop a fast variational approximation scheme for Gaussian process (GP) regression, where the spectrum of the covariance function is subjected to a sparse approximation. Our a…

stat.ME2012★ 12 cited

A stochastic variational framework for fitting and diagnosing generalized linear mixed models

Linda S. L. Tan, David J. Nott

In stochastic variational inference, the variational Bayes objective function is optimized using stochastic gradient approximation, where gradients computed on small random subsets…

stat.CO2012★ 36 cited

Variational Inference for Generalized Linear Mixed Models Using Partially Noncentered Parametrizations

Linda S. L. Tan, David J. Nott

The effects of different parametrizations on the convergence of Bayesian computational algorithms for hierarchical models are well explored. Techniques such as centering, noncenter…