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Boolean networks are an important class of computational models for molecular interaction networks. Boolean canalization, a type of hierarchical clustering of the inputs of a Boolean function, has been extensively studied in the context of…

Molecular Networks · Quantitative Biology 2024-07-09 David Murrugarra , Elena S. Dimitrova

Randomized experiments are widely used to estimate the causal effects of a proposed treatment in many areas of science, from medicine and healthcare to the physical and biological sciences, from the social sciences to engineering, to public…

Methodology · Statistics 2022-11-30 Christina Lee Yu , Edoardo M Airoldi , Christian Borgs , Jennifer T Chayes

This paper investigates the impact of addition/removal of edges in a complex networked control system, for the purposes of improving its controllability, system performances or robustness to external disturbances. The transfer function…

Systems and Control · Electrical Eng. & Systems 2024-08-20 Gustav Lindmark , Claudio Altafini

This paper develops tools to quantify the importance of agent interactions and its impact on global performance metrics for networks modeled as linear time-invariant systems. We consider Gramian-based performance metrics and propose a novel…

Systems and Control · Electrical Eng. & Systems 2021-07-22 Prasad Vilas Chanekar , Jorge Cortes

This paper investigates the identification and inference of treatment effects in randomized controlled trials with social interactions. Two key network features characterize the setting and introduce endogeneity: (1) latent variables may…

Econometrics · Economics 2024-12-04 Mengsi Gao

Controlling a complex network is of great importance in many applications. The network can be controlled by inputting external control signals through some selected nodes, which are called input nodes. Previous works found that the majority…

Social and Information Networks · Computer Science 2019-10-23 Xizhe Zhang , Qian Li

Motivation: Many problems in biomedicine and other areas of the life sciences can be characterized as control problems, with the goal of finding strategies to change a disease or otherwise undesirable state of a biological system into…

Molecular Networks · Quantitative Biology 2016-10-04 David Murrugarra , Alan Veliz-Cuba , Boris Aguilar , Reinhard Laubenbacher

Boolean network models of molecular regulatory networks have been used successfully in computational systems biology. The Boolean functions that appear in published models tend to have special properties, in particular the property of being…

Dynamical Systems · Mathematics 2024-07-09 Yuan Li , John O. Adeyeye , David Murrugarra , Boris Aguilar , Reinhard Laubenbacher

We present a rigorous mathematical framework for analyzing dynamics of a broad class of Boolean network models. We use this framework to provide the first formal proof of many of the standard critical transition results in Boolean network…

Disordered Systems and Neural Networks · Physics 2016-08-30 C. Seshadhri , Yevgeniy Vorobeychik , Jackson R. Mayo , Robert C. Armstrong , Joseph R. Ruthruff

In this paper, we tackle a challenging problem inherent in a series of applications: tracking the influential nodes in dynamic networks. Specifically, we model a dynamic network as a stream of edge weight updates. This general model…

Social and Information Networks · Computer Science 2017-08-25 Yu Yang , Zhefeng Wang , Jian Pei , Enhong Chen

Social networks have well documented effects at the individual and aggregate level. Consequently it is often useful to understand how an attempt to influence a network will change its structure and consequently achieve other goals. We…

Social and Information Networks · Computer Science 2016-02-24 Jonathan Mellon , Jordan Yoder , Daniel Evans

Networks are a useful representation for data on connections between units of interests, but the observed connections are often noisy and/or include missing values. One common approach to network analysis is to treat the network as a…

Methodology · Statistics 2017-05-22 Yun-Jhong Wu , Elizaveta Levina , Ji Zhu

Many public health interventions are conducted in settings where individuals are connected to one another and the intervention assigned to randomly selected individuals may spill over to other individuals they are connected to. In these…

Methodology · Statistics 2026-01-14 Junhan Fang , Donna Spiegelman , Ashley Buchanan , Laura Forastiere

For a given statistical model, it often happens that it is necessary to intervene the model to reduce the variances of the output variables. In structural equation models, this can be done by changing the values of the path coefficients by…

Methodology · Statistics 2011-08-16 Kentaro Tanaka , Atsushi Yagishita , Masami Miyakawa

Intracellular networks process cellular-level information and control cell fate. They can be computationally modeled using Boolean networks, which are implicit-time causal models of discrete binary events. These networks can be embedded in…

Molecular Networks · Quantitative Biology 2025-01-28 John Metzcar , Katie Pletz , Heber L. Rocha , Jordan C Rozum

We consider optimal intervention in the Elliott-Golub-Jackson network model \cite{jackson14} and we show that it can be transformed into an influence maximization-like form, interpreted as the reverse of a default cascade. Our analysis of…

Computer Science and Game Theory · Computer Science 2023-03-21 Ariah Klages-Mundt , Andreea Minca

Estimating the effects of interventions in networks is complicated when the units are interacting, such that the outcomes for one unit may depend on the treatment assignment and behavior of many or all other units (i.e., there is…

Methodology · Statistics 2014-08-15 Dean Eckles , Brian Karrer , Johan Ugander

Estimation of social influence in networks can be substantially biased in observational studies due to homophily and network correlation in exposure to exogenous events. Randomized experiments, in which the researcher intervenes in the…

Social and Information Networks · Computer Science 2017-09-28 Sean J. Taylor , Dean Eckles

Modified treatment policies are a widely applicable class of interventions useful for studying the causal effects of continuous exposures. Approaches to evaluating their causal effects assume no interference, meaning that such effects…

Methodology · Statistics 2025-12-12 Salvador V. Balkus , Scott W. Delaney , Nima S. Hejazi

Time- and state-discrete dynamical systems are frequently used to model molecular networks. This paper provides a collection of mathematical and computational tools for the study of robustness in Boolean network models. The focus is on…

Dynamical Systems · Mathematics 2024-01-19 Claus Kadelka , Jack Kuipers , Reinhard Laubenbacher
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