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Implementation of Linear Regression and Linear Interpolation using Reaction Networks
Aryan Kumar, Amey Choudhary, Jiaxin Jin +2
Statistical inference is a fundamental component of data science. In this work, we focus on two classical inference techniques: regression and interpolation. We propose a reaction-…
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…
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 …
The Dimension of the Disguised Toric Locus of a Reaction Network
Gheorghe Craciun, Abhishek Deshpande, Jiaxin Jin
Under mass-action kinetics, complex-balanced systems emerge from biochemical reaction networks and exhibit stable and predictable dynamics. For a reaction network , the associat…
High rates of fuel consumption are not required by insulating motifs to suppress retroactivity in biochemical circuits
Abhishek Deshpande, Thomas E. Ouldridge
Retroactivity arises when the coupling of a molecular network to a downstream network results in signal propagation back from to $\mathcal…