Programming discrete distributions with chemical reaction networks
We explore the range of probabilistic behaviours that can be engineered with Chemical Reaction Networks (CRNs). We show that at steady state CRNs are able to “program” any distribution with finite support in N m, with m ≥ 1. Moreover, any distribution with countable infinite support can be approxima...
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| Format: | Conference item |
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Springer, Cham
2016
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| _version_ | 1797103674279854080 |
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| author | Cardelli, L Kwiatkowska, M Laurenti, L |
| author_facet | Cardelli, L Kwiatkowska, M Laurenti, L |
| author_sort | Cardelli, L |
| collection | OXFORD |
| description | We explore the range of probabilistic behaviours that can be engineered with Chemical Reaction Networks (CRNs). We show that at steady state CRNs are able to “program” any distribution with finite support in N m, with m ≥ 1. Moreover, any distribution with countable infinite support can be approximated with arbitrarily small error under the L 1 norm. We also give optimized schemes for special distributions, including the uniform distribution. Finally, we formulate a calculus to compute on distributions that is complete for finite support distributions, and can be compiled to a restricted class of CRNs that at steady state realize those distributions. |
| first_indexed | 2024-03-07T06:23:27Z |
| format | Conference item |
| id | oxford-uuid:f371e90a-1f14-4bdf-8fd4-7271fe173d21 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T06:23:27Z |
| publishDate | 2016 |
| publisher | Springer, Cham |
| record_format | dspace |
| spelling | oxford-uuid:f371e90a-1f14-4bdf-8fd4-7271fe173d212022-03-27T12:12:18ZProgramming discrete distributions with chemical reaction networksConference itemhttp://purl.org/coar/resource_type/c_5794uuid:f371e90a-1f14-4bdf-8fd4-7271fe173d21Symplectic Elements at OxfordSpringer, Cham2016Cardelli, LKwiatkowska, MLaurenti, LWe explore the range of probabilistic behaviours that can be engineered with Chemical Reaction Networks (CRNs). We show that at steady state CRNs are able to “program” any distribution with finite support in N m, with m ≥ 1. Moreover, any distribution with countable infinite support can be approximated with arbitrarily small error under the L 1 norm. We also give optimized schemes for special distributions, including the uniform distribution. Finally, we formulate a calculus to compute on distributions that is complete for finite support distributions, and can be compiled to a restricted class of CRNs that at steady state realize those distributions. |
| spellingShingle | Cardelli, L Kwiatkowska, M Laurenti, L Programming discrete distributions with chemical reaction networks |
| title | Programming discrete distributions with chemical reaction networks |
| title_full | Programming discrete distributions with chemical reaction networks |
| title_fullStr | Programming discrete distributions with chemical reaction networks |
| title_full_unstemmed | Programming discrete distributions with chemical reaction networks |
| title_short | Programming discrete distributions with chemical reaction networks |
| title_sort | programming discrete distributions with chemical reaction networks |
| work_keys_str_mv | AT cardellil programmingdiscretedistributionswithchemicalreactionnetworks AT kwiatkowskam programmingdiscretedistributionswithchemicalreactionnetworks AT laurentil programmingdiscretedistributionswithchemicalreactionnetworks |