Recovering dynamic networks in big static datasets

R Wu, L Jiang - Physics Reports, 2021 - Elsevier
The promise of big data is enormous and nowhere is it more critical than in its potential to
contain important, undiscovered interdependence among thousands of variables. Networks …

Reverse engineering of genome-wide gene regulatory networks from gene expression data

ZP Liu - Current genomics, 2015 - ingentaconnect.com
Transcriptional regulation plays vital roles in many fundamental biological processes.
Reverse engineering of genome-wide regulatory networks from high-throughput …

Topological sensitivity analysis for systems biology

AC Babtie, P Kirk, MPH Stumpf - Proceedings of the …, 2014 - National Acad Sciences
Mathematical models of natural systems are abstractions of much more complicated
processes. Develo** informative and realistic models of such systems typically involves …

Joint structural break detection and parameter estimation in high-dimensional nonstationary VAR models

A Safikhani, A Shojaie - Journal of the American Statistical …, 2022 - Taylor & Francis
Assuming stationarity is unrealistic in many time series applications. A more realistic
alternative is to assume piecewise stationarity, where the model can change at potentially …

Dynamic data analysis

J Ramsay, G Hooker - Springer New York, New York, NY. doi, 2017 - Springer
Getting pregnant is usually easy and fun, but the gestation and delivery may be another
story; messy and painful perhaps, but instructive nevertheless. So it is with this book, which …

Sparse additive ordinary differential equations for dynamic gene regulatory network modeling

H Wu, T Lu, H Xue, H Liang - Journal of the American Statistical …, 2014 - Taylor & Francis
The gene regulation network (GRN) is a high-dimensional complex system, which can be
represented by various mathematical or statistical models. The ordinary differential equation …

Network reconstruction from high-dimensional ordinary differential equations

S Chen, A Shojaie, DM Witten - Journal of the American Statistical …, 2017 - Taylor & Francis
We consider the task of learning a dynamical system from high-dimensional time-course
data. For instance, we might wish to estimate a gene regulatory network from gene …

APIK: Active physics-informed kriging model with partial differential equations

J Chen, Z Chen, C Zhang, CF Jeff Wu - SIAM/ASA Journal on Uncertainty …, 2022 - SIAM
Kriging (or Gaussian process regression) becomes a popular machine learning method for
its flexibility and closed-form prediction expressions. However, one of the key challenges in …

Map** complex traits as a dynamic system

L Sun, R Wu - Physics of life reviews, 2015 - Elsevier
Despite increasing emphasis on the genetic study of quantitative traits, we are still far from
being able to chart a clear picture of their genetic architecture, given an inherent complexity …

Differential equations in data analysis

I Dattner - Wiley Interdisciplinary Reviews: Computational …, 2021 - Wiley Online Library
Differential equations have proven to be a powerful mathematical tool in science and
engineering, leading to better understanding, prediction, and control of dynamic processes …