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Our goal is to infer the topology of a network when (i) we can send probes between sources and receivers at the edge of the network and (ii) intermediate nodes can perform simple network coding operations, i.e., additions. Our key intuition…

网络与互联网体系结构 · 计算机科学 2013-02-07 Pegah Sattari , Christina Fragouli , Athina Markopoulou

We present a new method to propagate lower bounds on conditional probability distributions in conventional Bayesian networks. Our method guarantees to provide outer approximations of the exact lower bounds. A key advantage is that we can…

人工智能 · 计算机科学 2012-05-14 Daniel Andrade , Bernhard Sick

Biomolecular networks have already found great utility in characterizing complex biological systems arising from pair-wise interactions amongst biomolecules. Here, we review how graph theoretical approaches can be applied not only for a…

分子网络 · 定量生物学 2018-12-03 Heeralal Janwa , Steven E. Massey , Julian Velev , Bud Mishra

We consider stochastic reaction networks modeled by continuous-time Markov chains. Such reaction networks often contain many reactions, potentially occurring at different time scales, and have unknown parameters (kinetic rates, total…

概率论 · 数学 2023-02-20 Linard Hoessly , Carsten Wiuf

Network inference approaches are widely used to shed light on regulatory interplay between molecular players such as genes and proteins. Biochemical processes underlying networks of interest (e.g. gene regulatory or protein signalling…

应用统计 · 统计学 2014-06-03 Chris J Oates , Bryan T Hennessy , Yiling Lu , Gordon B Mills , Sach Mukherjee

Network datasets appear across a wide range of scientific fields, including biology, physics, and the social sciences. To enable data-driven discoveries from these networks, statistical inference techniques like estimation and hypothesis…

统计方法学 · 统计学 2026-02-19 Arpan Kumar , Minh Tang , Srijan Sengupta

We study binomiality of the steady state ideals of chemical reaction networks. Considering rate constants as indeterminates, the concept of unconditional binomiality has been introduced and an algorithm based on linear algebra has been…

符号计算 · 计算机科学 2021-01-15 Hamid Rahkooy , Cristian Vargas Montero

Exploring large chemical reaction networks with automated exploration approaches and accurate quantum chemical methods can require prohibitively large computational resources. Here, we present an automated exploration approach that focuses…

化学物理 · 物理学 2024-06-12 Moritz Bensberg , Markus Reiher

We develop a thermodynamic framework for closed and open chemical networks applicable to non-elementary reactions that do not need to obey mass action kinetics. It only requires the knowledge of the kinetics and of the standard chemical…

统计力学 · 物理学 2020-09-16 Francesco Avanzini , Gianmaria Falasco , Massimiliano Esposito

The study of molecule-target interaction is quite important for drug discovery in terms of target identification, hit identification, pathway study, drug-drug interaction, etc. Most existing methodologies utilize either biomedical network…

机器学习 · 计算机科学 2023-02-07 Jinjiang Guo , Jie Li

A reaction network is a chemical system involving multiple reactions and chemical species. Stochastic models of such networks treat the system as a continuous time Markov chain on the number of molecules of each species with reactions as…

概率论 · 数学 2007-05-23 Karen Ball , Thomas G. Kurtz , Lea Popovic , Greg Rempala

Chemistry has a key role in the evolution of the interstellar medium (ISM), so it is highly desirable to follow its evolution in numerical simulations. However, it may easily dominate the computational cost when applied to large systems. In…

天体物理仪器与方法 · 物理学 2015-06-12 T. Grassi , S. Bovino , D. Schleicher , F. A. Gianturco

For a theoretical understanding of the reactivity of complex chemical systems, relative energies of stationary points on potential energy hypersurfaces need to be calculated to high accuracy. Due to the large number of intermediates present…

化学物理 · 物理学 2018-10-30 Gregor N. Simm , Markus Reiher

We investigate the dynamics of chemical reaction networks (CRNs) with the goal of deriving an upper bound on their reaction rates. This task is challenging due to the nonlinear nature and discrete structure inherent in CRNs. To address…

化学物理 · 物理学 2023-09-20 Tsuyoshi Mizohata , Tetsuya J. Kobayashi , Louis-S. Bouchard , Hideyuki Miyahara

Inference of the marginal probability distribution is defined as the calculation of the probability of a subset of the variables and is relevant for handling missing data and hidden variables. While inference of the marginal probability…

机器学习 · 统计学 2022-07-22 Fritz M. Bayer , Giusi Moffa , Niko Beerenwinkel , Jack Kuipers

This study proposes the first Bayesian approach for learning high-dimensional linear Bayesian networks. The proposed approach iteratively estimates each element of the topological ordering from backward and its parent using the inverse of a…

机器学习 · 统计学 2023-11-28 Seyong Hwang , Kyoungjae Lee , Sunmin Oh , Gunwoong Park

Despite the large quantity of information available, thorough researches in various biological databases are still needed in order to reconstruct and understand the steps that lead to known or new phenomena. By using protein-protein…

分子网络 · 定量生物学 2014-12-03 Alberto Calderone

Many biological systems can be modeled as a chemical reaction network with unknown parameters. Data available to identify these parameters are often in the form of a stationary distribution, such as that obtained from measurements of a cell…

系统与控制 · 电气工程与系统科学 2023-09-14 Theodore W. Grunberg , Domitilla Del Vecchio

Deterministic reaction networks (RNs) are tools to model diverse biological phenomena characterized by particle systems, when there are abundant number of particles. Examples include but are not limited to biochemistry, molecular biology,…

分子网络 · 定量生物学 2021-07-22 Carsten Wiuf , Chuang Xu

Heterogeneous molecular entities and their interactions, commonly depicted as a network, are crucial for advancing our systems-level understanding of biology. With recent advancements in high-throughput data generation and a significant…

定量方法 · 定量生物学 2026-03-18 Kishan KC , Rui Li , Paribesh Regmi , Anne R. Haake