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This paper presents the foundation for a decomposition theory for Boolean networks, a type of discrete dynamical system that has found a wide range of applications in the life sciences, engineering, and physics. Given a Boolean network…

The recursive removal of leaves (dead end vertices) and their neighbors from an undirected network results, when this pruning algorithm stops, in a so-called core of the network. This specific subgraph should be distinguished from…

无序系统与神经网络 · 物理学 2015-06-12 N. Azimi-Tafreshi , S. N. Dorogovtsev , J. F. F. Mendes

It has been shown that uniform as well as non-uniform cellular automata (CA) can be evolved to perform certain computational tasks. Random Boolean networks are a generalization of two-state cellular automata, where the interconnection…

无序系统与神经网络 · 物理学 2007-05-23 Bertrand Mesot , Christof Teuscher

Chaos control in Random Boolean networks is implemented by freezing part of the network to drive it from chaotic to ordered phase. However, controlled nodes are only viewed as passive blocks to prevent perturbation spread. This paper…

元胞自动机与格子气 · 物理学 2015-05-20 Nan Jiang , Shijian Chen

We consider efficiency in the implementation of deep neural networks. Hardware accelerators are gaining interest as machine learning becomes one of the drivers of high-performance computing. In these accelerators, the directed graph…

机器学习 · 计算机科学 2021-04-28 George A. Constantinides

This paper presents an algorithm, Voted Kernel Regularization , that provides the flexibility of using potentially very complex kernel functions such as predictors based on much higher-degree polynomial kernels, while benefitting from…

机器学习 · 计算机科学 2015-09-16 Corinna Cortes , Prasoon Goyal , Vitaly Kuznetsov , Mehryar Mohri

Random boolean networks are a model of genetic regulatory networks that has proven able to describe experimental data in biology. They not only reproduce important phenomena in cell dynamics, but they are also extremely interesting from a…

We analyze the solutions, on single network instances, of a recently introduced class of constraint-satisfaction problems (CSPs), describing feasible steady states of chemical reaction networks. First, we show that the CSPs generalize the…

分子网络 · 定量生物学 2014-03-05 Alessandro Seganti , Federico Ricci-Tersenghi , Andrea De Martino

Random Boolean networks, originally invented as models of genetic regulatory networks, are simple models for a broad class of complex systems that show rich dynamical structures. From a biological perspective, the most interesting networks…

无序系统与神经网络 · 物理学 2009-11-07 Joshua E. S. Socolar , Stuart A. Kauffman

In recent years, data-driven approaches have become increasingly pervasive across all areas of control engineering. However, the applications of data-based techniques to Boolean control networks (BCNs) are still very limited. In this paper…

系统与控制 · 电气工程与系统科学 2026-02-16 Giorgia Disarò , Maria Elena Valcher

This article is set in the field of regulation networks modeled by discrete dynamical systems. It focuses on Boolean automata networks. In such networks, there are many ways to update the states of every element. When this is done…

离散数学 · 计算机科学 2015-03-19 Mathilde Noual

Increased biological complexity is generally associated with the addition of new genetic information, which must be integrated into the existing regulatory network that operates within the cell. General arguments on network control, as well…

分子网络 · 定量生物学 2007-05-23 Larry J. Croft , Martin J. Lercher , Michael J. Gagen , John S. Mattick

This paper proposes a new method to reverse engineer gene regulatory networks from experimental data. The modeling framework used is time-discrete deterministic dynamical systems, with a finite set of states for each of the variables. The…

定量方法 · 定量生物学 2007-05-23 Reinhard Laubenbacher , Brandilyn Stigler

Boolean networks (BNs) are discrete dynamical systems with applications to the modeling of cellular behaviors. In this paper, we demonstrate how the software BoNesis can be employed to exhaustively identify combinations of perturbations…

系统与控制 · 电气工程与系统科学 2023-05-03 Loïc Paulevé

The rapid growth of the size and complexity in deep neural networks has sharply increased computational demands, challenging their efficient deployment in real-world scenarios. Boolean networks, constructed with logic gates, offer a…

机器学习 · 计算机科学 2024-09-12 Youngsung Kim

Interactions between genes and gene products give rise to complex circuits that enable cells to process information and respond to external signals. Theoretical studies often describe these interactions using continuous, stochastic, or…

分子网络 · 定量生物学 2007-05-23 Madalena Chaves , Reka Albert , Eduardo D. Sontag

We investigated the properties of Boolean networks that follow a given reliable trajectory in state space. A reliable trajectory is defined as a sequence of states which is independent of the order in which the nodes are updated. We…

生物物理 · 物理学 2011-03-23 Tiago P. Peixoto , Barbara Drossel

Interdependent networks are ubiquitous in our society, ranging from infrastructure to economics, and the study of their cascading behaviors using percolation theory has attracted much attention in the recent years. To analyze the…

物理与社会 · 物理学 2015-02-06 Ling Feng , Christopher Pineda Monterola , Yanqing Hu

The gene networks that comprise the circadian clock modulate biological function across a range of scales, from gene expression to performance and adaptive behaviour. The clock functions by generating endogenous rhythms that can be…

分子网络 · 定量生物学 2012-10-25 Ozgur Akman , Steven Watterson , Andrew Parton , Nigel Binns , Andrew Millar , Peter Ghazal

Using a graph-theoretic approach, we derive a new sufficient condition for observability of a Boolean control network (BCN). Based on this condition, we describe two algorithms: the first selects a set of nodes so that observing this set…

最优化与控制 · 数学 2020-06-09 Eyal Weiss , Michael Margaliot