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List of benchmarks / toy problems for possible inclusion #505

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@ben18785

Update by Michael: I've repurposed this ticket to collect various toy problems / benchmarks we might like to add at some point. Whenever someone decides a certain benchmark is necessary - and that they're going to implement it - we can make a separate ticket for that!

  • Hass et al. (2018 pre-print) - Reaction-diffusion problems, Optimisation focus
    • 20 biochemical reaction networks, all taken from literature & with real data.
    • Note in discussion that log transform is good because convexity changes
  • Villaverde et al. "BioPredyn" (2015) - All reaction-diffusion problems, Optimisation focus
    • Problem B1: genome-wide kinetic model of S. cerevisiae
    • Problem B2: dynamic model of the Central Carbon Metabolism of E. coli
    • Problem B3: enzymatic and transcriptional regulation of the Central Carbon Metabolism of E. coli
    • Problem B4: metabolic model of Chinese Hamster Ovary (CHO) cells
    • Problem B5: signal transduction logic model
    • Problem B6: the gap gene network of the vinegar fly, Drosophila melanogaster
  • Ballnus et al (2017). - All reaction-diffusion problems, MCMC focus
    • Very nice plots of the posterior (or a representative cut) for each problem
    • M1 mRNA transfection
    • M2 Bistable switch
    • M3 Saturated growth
    • M4 Biochemical system with Hopf bifurcation
    • M5 Driven Van der Pol Oscillator
    • M6 Lorenz Attractor
  • Feroz & Skilling (2013) - Theoretical focus
    • Rastrigin function,
    • Himmelblau's function,
    • multidimensional eggbox,
    • Bayesian object detection case study.
  • Wikipedia's list of optimisation test functions

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