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Living systems maintain stable internal states despite environmental fluctuations. Absolute concentration robustness (ACR) is a striking homeostatic phenomenon in which the steady-state concentration of a species remains invariant despite…

Dynamical Systems · Mathematics 2025-11-04 Hyukpyo Hong , Diego Rojas La Luz , Gheorghe Craciun

Recurrent Neural Networks (RNNs) have achieved tremendous success in sequential data processing. However, it is quite challenging to interpret and verify RNNs' behaviors directly. To this end, many efforts have been made to extract finite…

Computation and Language · Computer Science 2022-09-28 Zeming Wei , Xiyue Zhang , Meng Sun

This work considers the method of uniformisation for continuous-time Markov chains in the context of chemical reaction networks. Previous work in the literature has shown that uniformisation can be beneficial in the context of…

Quantitative Methods · Quantitative Biology 2019-04-18 Casper Beentjes , Ruth Baker

Stochastic Reaction Networks (SRNs) are a fundamental modeling framework for systems ranging from chemical kinetics and epidemiology to ecological and synthetic biological processes. A central computational challenge is the estimation of…

Molecular Networks · Quantitative Biology 2025-12-09 Quentin Badolle , Arthur Theuer , Zhou Fang , Ankit Gupta , Mustafa Khammash

In general, the representation of combinatorial objects is decisive for the feasibility of several enumerative tasks. In this work, we show how a (unique) string representation for (complete) initially-connected deterministic automata…

Formal Languages and Automata Theory · Computer Science 2009-06-23 Marco Almeida , Nelma Moreira , Rogério Reis

A chemical reaction mechanism (CRM) is a sequence of molecular-level events involving bond-breaking/forming processes, generating transient intermediates along the reaction pathway as reactants transform into products. Understanding such…

Chemical Physics · Physics 2024-07-16 Ajnabiul Hoque , Manajit Das , Mayank Baranwal , Raghavan B. Sunoj

Network robustness is critical for various societal and industrial networks again malicious attacks. In particular, connectivity robustness and controllability robustness reflect how well a networked system can maintain its connectedness…

Systems and Control · Electrical Eng. & Systems 2023-07-25 Yang Lou , Ruizi Wu , Junli Li , Lin Wang , Xiang Li , Guanrong Chen

It has recently been shown that structural conditions on the reaction network, rather than a 'fine-tuning' of system parameters, often suffice to impart 'absolute concentration robustness' on a wide class of biologically relevant,…

Probability · Mathematics 2014-01-20 David F. Anderson , German Enciso , Matthew Johnston

We develop a learning-based algorithm for the distributed formation control of networked multi-agent systems governed by unknown, nonlinear dynamics. Most existing algorithms either assume certain parametric forms for the unknown dynamic…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Christos K. Verginis , Zhe Xu , Ufuk Topcu

We present an efficient and accurate method for simulating massive neutrinos in cosmological structure formation simulations, together with an easy to use public implementation. Our method builds on our earlier implementation of the linear…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-05 Simeon Bird , Yacine Ali-Haïmoud , Yu Feng , Jia Liu

This paper presents a predictive control strategy based on neural network model of the plant is applied to Continuous Stirred Tank Reactor (CSTR). This system is a highly nonlinear process; therefore, a nonlinear predictive method, e.g.,…

Artificial Intelligence · Computer Science 2012-08-20 Piyush Shrivastava

Regular expressions (res), because of their succinctness and clear syntax, are the common choice to represent regular languages. However, efficient pattern matching or word recognition depend on the size of the equivalent nondeterministic…

Formal Languages and Automata Theory · Computer Science 2010-09-21 Hugo Gouveia , Nelma Moreira , Rogério Reis

In this paper, we have introduced the deterministic variant of parallel communicating Watson-Crick automata systems. We show that similar to the non-deterministic version, the deterministic version can also recognise some non-regular…

Formal Languages and Automata Theory · Computer Science 2015-07-21 Kingshuk Chatterjee , Kumar Sankar Ray

Chemical reaction networks (CRNs) model the behavior of molecules in a well-mixed system. The emerging field of molecular programming uses CRNs not only as a descriptive tool, but as a programming language for chemical computation.…

Computational Complexity · Computer Science 2015-09-04 Adam Case , Jack H. Lutz , D. M. Stull

We study robust reinforcement learning (RL) with the goal of determining a well-performing policy that is robust against model mismatch between the training simulator and the testing environment. Previous policy-based robust RL algorithms…

Machine Learning · Computer Science 2023-12-12 Ruida Zhou , Tao Liu , Min Cheng , Dileep Kalathil , P. R. Kumar , Chao Tian

Chemical reaction networks (CRNs) are prototypical complex systems because reactions are nonlinear and connected in intricate ways, and they are also essential to understand living systems. Here, I discuss how recent developments in…

Statistical Mechanics · Physics 2020-12-23 Massimiliano Esposito

Dynamic optimization of nonlinear chemical systems -- such as batch reactors -- should be applied online, and the suitable control taken should be according to the current state of the system rather than the current time instant. The recent…

Systems and Control · Computer Science 2019-04-16 Abdelrahman ElMezain , Mohamed Saleh , Jie Zhang , Ahmed Soliman , Seif Fateen

Algorithms for (nondeterministic) finite-state tree automata (FTAs) are often tested on random FTAs, in which all internal transitions are equiprobable. The run-time results obtained in this manner are usually overly optimistic as most such…

Formal Languages and Automata Theory · Computer Science 2013-11-25 Thomas Hanneforth , Andreas Maletti , Daniel Quernheim

Hebbian theory seeks to explain how the neurons in the brain adapt to stimuli, to enable learning. An interesting feature of Hebbian learning is that it is an unsupervised method and as such, does not require feedback, making it suitable in…

Neurons and Cognition · Quantitative Biology 2022-06-07 Jakub Fil , Neil Dalchau , Dominique Chu

This article proposes a Model Reference Adaptive Control (MRAC) strategy to achieve fixed-time convergence of parameter estimation and tracking errors for unknown linear time-invariant systems, without relying on the persistence of…

Systems and Control · Electrical Eng. & Systems 2026-04-23 Chayan Kumar Paul , Krishanu Nath , Indra Narayan Kar , Denis Efimov , Rosane Ushirobira