23 citations · 43 across the 12 of their papers we have counts for
12 papers
Shared Differential Clustering across Single-cell RNA Sequencing Datasets with the Hierarchical Dirichlet Process
Jinlu Liu, Sara Wade, Natalia Bochkina
Single-cell RNA sequencing (scRNA-seq) is powerful technology that allows researchers to understand gene expression patterns at the single-cell level. However, analysing scRNA-seq…
Bernstein - von Mises theorem and misspecified models: a review
Natalia Bochkina
This is a review of asymptotic and non-asymptotic behaviour of Bayesian methods under model specification. In particular we focus on consistency, i.e. convergence of the posterior…
Bayesian Inverse Problems with Heterogeneous Variance
Natalia Bochkina, Jenovah Rodrigues
We consider inverse problems in Hilbert spaces under correlated Gaussian noise and use a Bayesian approach to find their regularised solution. We focus on mildly ill-posed inverse…
Testing for equal correlation matrices with application to paired gene expression data
Adria Caballe, Natalia Bochkina, Claus Mayer +1
We present a novel method for testing the hypothesis of equality of two correlation matrices using paired high-dimensional datasets. We consider test statistics based on the averag…
Joint Estimation of Sparse Networks with application to Paired Gene Expression data
Adria Caballe, Natalia Bochkina, Claus Mayer
We consider a method to jointly estimate sparse precision matrices and their underlying graph structures using dependent high-dimensional datasets. We present a penalized maximum l…
Adaptive density estimation based on a mixture of Gammas
Natalia Bochkina, Judith Rousseau
We consider the problem of Bayesian density estimation on the positive semiline for possibly unbounded densities. We propose a hierarchical Bayesian estimator based on the gamma mi…
Selection of the Regularization Parameter in Graphical Models using Network Characteristics
Adria Caballe, Natalia Bochkina, Claus Mayer
Gaussian graphical models represent the underlying graph structure of conditional dependence between random variables which can be determined using their partial correlation or pre…
Besov regularity of functions with sparse random wavelet coefficients
Natalia Bochkina
This paper addresses the problem of regularity properties of functions represented as an expansion in a wavelet basis with random coefficients in terms of finiteness of their Besov…
The Bernstein-von Mises theorem and nonregular models
Natalia A. Bochkina, Peter J. Green
We study the asymptotic behaviour of the posterior distribution in a broad class of statistical models where the "true" solution occurs on the boundary of the parameter space. We s…
Consistency of the posterior distribution in generalised linear inverse problems
Natalia Bochkina
For ill-posed inverse problems, a regularised solution can be interpreted as a mode of the posterior distribution in a Bayesian framework. This framework enriches the set the solut…
Consistency and efficiency of Bayesian estimators in generalised linear inverse problems
Natalia A. Bochkina, Peter J. Green
Formulating a statistical inverse problem as one of inference in a Bayesian model has great appeal, notably for what this brings in terms of coherence, the interpretability of regu…
Sparse Empirical Bayes Analysis (SEBA)
Natalia Bochkina, Ya'acov Ritov
We consider a joint processing of independent sparse regression problems. Each is based on a sample of \iid observations from $y_{i1}=x…