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Dynamical reaction-diffusion processes and meta-population models are standard modeling approaches for a wide variety of phenomena in which local quantities - such as density, potential and particles - diffuse and interact according to the…

Statistical Mechanics · Physics 2007-05-23 V. Colizza , R. Pastor-Satorras , A. Vespignani

We present a first theoretical analysis of the power of polynomial-time preprocessing for important combinatorial problems from various areas in AI. We consider problems from Constraint Satisfaction, Global Constraints, Satisfiability,…

Artificial Intelligence · Computer Science 2014-06-13 Serge Gaspers , Stefan Szeider

We use the implicitization procedure to generate polynomial equality constraints on the set of distributions induced by local interventions on variables governed by a causal Bayesian network with hidden variables. We show how we may reduce…

Artificial Intelligence · Computer Science 2012-06-26 Changsung Kang , Jin Tian

Being able to rigorously quantify the uncertainties in reaction models is crucial to moving this field forward. Even though Bayesian methods are becoming increasingly popular in nuclear theory, they are yet to be implemented and applied in…

Nuclear Theory · Physics 2018-07-18 A. E. Lovell , F. M. Nunes

Machine learning enables systems to build and update domain models based on runtime observations. In this paper, we study statistical model checking and runtime verification for systems with this ability. Two challenges arise: (1) Models…

Software Engineering · Computer Science 2017-03-01 Lenz Belzner , Thomas Gabor

Regulatory networks (RNs) are a well-accepted modelling formalism in computational systems biology. The control of RNs is currently receiving a lot of attention because it provides a computational basis for cell reprogramming -- an…

Systems and Control · Electrical Eng. & Systems 2022-03-01 Luboš Brim , Samuel Pastva , David Šafránek , Eva Šmijáková

Chemical reaction networks (CRNs) model systems where molecules interact according to a finite set of reactions such as $A + B \to C$, representing that if a molecule of $A$ and $B$ collide, they disappear and a molecule of $C$ is produced.…

Computational Complexity · Computer Science 2026-01-21 David Doty , Ben Heckmann

Activated processes from chemical reactions up to conformational transitions of large biomolecules are hampered by barriers which are overcome only by the input of some free energy of activation. Hence, the characteristic and…

Statistical Mechanics · Physics 2011-12-21 Jürgen Schlitter

The model of Dynamic Meta-Constraints has special activity constraints which can activate other constraints. It also has meta-constraints which range over other constraints. An algorithm is presented in which constraints can be assigned one…

Programming Languages · Computer Science 2007-05-23 Janet van der Linden

Bayesian networks are basic graphical models, used widely both in statistics and artificial intelligence. These statistical models of conditional independence structure are described by acyclic directed graphs whose nodes correspond to…

Optimization and Control · Mathematics 2010-12-01 Raymond Hemmecke , Silvia Lindner , Milan Studený

Can a micron sized sack of interacting molecules understand, and adapt to a constantly-fluctuating environment? Cellular life provides an existence proof in the affirmative, but the principles that allow for life's existence are far from…

Molecular Networks · Quantitative Biology 2022-05-16 William Poole , Thomas Ouldridge , Manoj Gopalkrishnan , Erik Winfree

We present a data-driven verification approach that determines whether or not a given chemical reaction network (CRN) satisfies a given property, expressed as a formula in a modal logic. Our approach consists of three phases, integrating…

Computational Engineering, Finance, and Science · Computer Science 2020-04-24 Gareth W. Molyneux , Viraj B. Wijesuriya , Alessandro Abate

The basic random $k$-SAT problem is: Given a set of $n$ Boolean variables, and $m$ clauses of size $k$ picked uniformly at random from the set of all such clauses on our variables, is the conjunction of these clauses satisfiable? Here we…

Combinatorics · Mathematics 2019-06-13 Joel Larsson , Klas Markström

This paper analyses of a stochastic model of a chemical reaction network with three types of chemical species ${\cal R}$, ${\cal M}$ and ${\cal U}$ that interact to transform a flow of external resources, the chemical species ${\cal Q}$, to…

Probability · Mathematics 2025-12-01 Vincent Fromion , Philippe Robert , Jana Zaherddine

Many real life optimization problems contain both hard and soft constraints, as well as qualitative conditional preferences. However, there is no single formalism to specify all three kinds of information. We therefore propose a framework,…

Artificial Intelligence · Computer Science 2009-05-26 Carmel Domshlak , Francesca Rossi , Kristen Brent Venable , Toby Walsh

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…

Dynamical Systems · Mathematics 2015-02-26 Marco Villani , Davide Campioli , Chiara Damiani , Andrea Roli , Alessandro Filisetti , Roberto Serra

There is an increasing amount of literature focused on Bayesian computational methods to address problems with intractable likelihood. One approach is a set of algorithms known as Approximate Bayesian Computational (ABC) methods. One of the…

Methodology · Statistics 2015-10-27 Weixuan Zhu , Juan Miguel Marin , Fabrizio Leisen

Human decisional processes result from the employment of selected quantities of relevant information, generally synthesized from environmental incoming data and stored memories. Their main goal is the production of an appropriate and…

Artificial Intelligence · Computer Science 2016-09-08 Graziano Barnabei , Franco Bagnoli , Ciro Conversano , Elena Lensi

We study two measures of the complexity of heterogeneous extended systems, taking random Boolean networks as prototypical cases. A measure defined by Shalizi et al. for cellular automata, based on a criterion for optimal statistical…

Cellular Automata and Lattice Gases · Physics 2012-06-12 Xinwei Gong , Joshua E. S. Socolar

We present and discuss the results of an experimental analysis in the design of Boolean networks by means of genetic algorithms. A population of networks is evolved with the aim of finding a network such that the attractor it reaches is of…

Neural and Evolutionary Computing · Computer Science 2011-02-01 Andrea Roli , Cristian Arcaroli , Marco Lazzarini , Stefano Benedettini