Differential network analysis: A statistical perspective

A Shojaie - Wiley Interdisciplinary Reviews: Computational …, 2021 - Wiley Online Library
Networks effectively capture interactions among components of complex systems, and have
thus become a mainstay in many scientific disciplines. Growing evidence, especially from …

Joint Gaussian graphical model estimation: A survey

K Tsai, O Koyejo, M Kolar - Wiley Interdisciplinary Reviews …, 2022 - Wiley Online Library
Graphs representing complex systems often share a partial underlying structure across
domains while retaining individual features. Thus, identifying common structures can shed …

Generalized score matching for general domains

S Yu, M Drton, A Shojaie - … and Inference: A Journal of the IMA, 2022 - academic.oup.com
Estimation of density functions supported on general domains arises when the data are
naturally restricted to a proper subset of the real space. This problem is complicated by …

Distributed bootstrap for simultaneous inference under high dimensionality

Y Yu, SK Chao, G Cheng - Journal of Machine Learning Research, 2022 - jmlr.org
We propose a distributed bootstrap method for simultaneous inference on high-dimensional
massive data that are stored and processed with many machines. The method produces an …

Two-sample inference for high-dimensional markov networks

B Kim, S Liu, M Kolar - Journal of the Royal Statistical Society …, 2021 - academic.oup.com
Markov networks are frequently used in sciences to represent conditional independence
relationships underlying observed variables arising from a complex system. It is often of …

Simultaneous inference for massive data: distributed bootstrap

Y Yu, SK Chao, G Cheng - International conference on …, 2020 - proceedings.mlr.press
In this paper, we propose a bootstrap method applied to massive data processed
distributedly in a large number of machines. This new method is computationally efficient in …

Direct estimation of differential functional graphical models

B Zhao, YS Wang, M Kolar - Advances in neural information …, 2019 - proceedings.neurips.cc
We consider the problem of estimating the difference between two functional undirected
graphical models with shared structures. In many applications, data are naturally regarded …

Constrained high dimensional statistical inference

M Yu, V Gupta, M Kolar - arXiv preprint arXiv:1911.07319, 2019 - arxiv.org
In typical high dimensional statistical inference problems, confidence intervals and
hypothesis tests are performed for a low dimensional subset of model parameters under the …

Statistical inference for networks of high-dimensional point processes

X Wang, M Kolar, A Shojaie - Journal of the American Statistical …, 2024 - Taylor & Francis
Fueled in part by recent applications in neuroscience, the multivariate Hawkes process has
become a popular tool for modeling the network of interactions among high-dimensional …

FuDGE: A method to estimate a functional differential graph in a high-dimensional setting

B Zhao, YS Wang, M Kolar - Journal of Machine Learning Research, 2022 - jmlr.org
We consider the problem of estimating the difference between two undirected functional
graphical models with shared structures. In many applications, data are naturally regarded …