7 papers
Implementation of Linear Regression and Linear Interpolation using Reaction Networks
Aryan Kumar, Amey Choudhary, Jiaxin Jin +2
Performing statistical inference is an essential component of data science. Our focus in this work is on two inference techniques, viz. regression and interpolation. We propose a r…
Mean-Field and Pairwise Approaches for the SIRI Model on Poisson Networks
Akshara Bhat, Abhishek Deshpande, Chittaranjan Hens +1
Compartmental epidemic models, grounded in mass-action kinetics, often assume homogeneous mixing. Although this neglects network structure, recent results show that for Poisson ran…
Implementation of Support Vector Machines using Reaction Networks
Amey Choudhary, Jiaxin Jin, Abhishek Deshpande
Can machine learning algorithms be implemented using chemistry? We demonstrate that this is possible in the case of support vector machines (SVMs). SVMs are powerful tools for data…
Extinction in Reaction Network Models
Pranav Agarwal, Gheorghe Craciun, Abhishek Deshpande +1
In this paper, we study extinction in dynamical systems generated by reaction networks. We introduce two notions: weak extinction and strong extinction, and relate them to the stru…
The Computation of the Disguised Toric Locus of Reaction Networks
Gheorghe Craciun, Abhishek Deshpande, Jiaxin Jin
Mathematical models of reaction networks can exhibit very complex dynamics, including multistability, oscillations, and chaotic dynamics. On the other hand, under some additional a…
Weakly reversible deficiency zero realizations of reaction networks
Neal Buxton, Gheorghe Craciun, Abhishek Deshpande +1
We prove that if a given reaction network has a weakly reversible deficiency zero realization for all choice of rate constants, then there exists a …