Efficient inference for differential equation models without numerical solvers
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917867378704384 |
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| author | Johnston, Alexander Baker, Ruth E. Simpson, Matthew J. |
| author_facet | Johnston, Alexander Baker, Ruth E. Simpson, Matthew J. |
| contents | Parameter inference is essential when interpreting observational data using mathematical models. Standard inference methods for differential equation models typically rely on obtaining repeated numerical solutions of the differential equation(s). Recent results have explored how numerical truncation error can have major, detrimental, and sometimes hidden impacts on likelihood-based inference by introducing false local maxima into the log-likelihood function. We present a straightforward approach for inference that eliminates the need for solving the underlying differential equations, thereby completely avoiding the impact of truncation error. Open-access Jupyter notebooks, available on GitHub, allow others to implement this method for a broad class of widely-used models to interpret biological data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_10494 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Efficient inference for differential equation models without numerical solvers Johnston, Alexander Baker, Ruth E. Simpson, Matthew J. Methodology 00A71 Parameter inference is essential when interpreting observational data using mathematical models. Standard inference methods for differential equation models typically rely on obtaining repeated numerical solutions of the differential equation(s). Recent results have explored how numerical truncation error can have major, detrimental, and sometimes hidden impacts on likelihood-based inference by introducing false local maxima into the log-likelihood function. We present a straightforward approach for inference that eliminates the need for solving the underlying differential equations, thereby completely avoiding the impact of truncation error. Open-access Jupyter notebooks, available on GitHub, allow others to implement this method for a broad class of widely-used models to interpret biological data. |
| title | Efficient inference for differential equation models without numerical solvers |
| topic | Methodology 00A71 |
| url | https://arxiv.org/abs/2411.10494 |