A Method for Inferring Polymers Based on Linear Regression and Integer Programming
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Abstract (arXiv)
A novel framework has recently been proposed for designing the molecular structure of chemical compounds with a desired chemical property using both artificial neural networks and mixed integer linear programming. In this paper, we design a new method for inferring a polymer based on the framework. For this, we introduce a new way of representing a polymer as a form of monomer and define new descriptors that feature the structure of polymers. We also use linear regression as a building block of constructing a prediction function in the framework. The results of our computational experiments reveal a set of chemical properties on polymers to which a prediction function constructed with linear regression performs well. We also observe that the proposed method can infer polymers with up to 50 non-hydrogen atoms in a monomer form.
Key facts. Cited by 5 papers in the map (data through 14 Oct 2026). Builds on 9 of its 37 references that are in the map. First posted on arXiv 24 Aug 2021.
Builds on
9 of 37 references.
References · 9
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- 2020GraphAF: a Flow-based Autoregressive Model for Molecular Graph Generationcited by 305
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- 2020A Novel Method for Inference of Acyclic Chemical Compounds with Bounded Branch-height Based on Artificial Neural Networks and Integer Programmingcited by 9
- 2020A novel method for inference of chemical compounds with prescribed topological substructures based on integer programmingcited by 3
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Citing papers per year: 2022: 1; 2023: 1; 2024: 2; 2025: 0; 2026: 1.
5 papers.
- 2022Molecular Design Based on Integer Programming and Quadratic Descriptors in a Two-layered Modelcited by 1
- 2023Molecular Design Based on Integer Programming and Splitting Data Sets by Hyperplanescited by 1
- 2024Cycle-Configuration: A Novel Graph-theoretic Descriptor Set for Molecular Inferencecited by 0
- 2024A Unified Approach to Inferring Chemical Compounds with the Desired Aqueous Solubilitycited by 0
- 2026Mixing Vector Model for Copolymer Inference via Mixed Integer Linear Programmingcited by 0
- 2026Mixing Vector Model for Copolymer Inference via Mixed Integer Linear Programming28 May 2026
- 2024A Unified Approach to Inferring Chemical Compounds with the Desired Aqueous Solubility6 Sep 2024
- 2024Cycle-Configuration: A Novel Graph-theoretic Descriptor Set for Molecular Inference9 Aug 2024
- 2023Molecular Design Based on Integer Programming and Splitting Data Sets by Hyperplanes27 Apr 2023
- 2022Molecular Design Based on Integer Programming and Quadratic Descriptors in a Two-layered Model13 Sep 2022