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Coursework Summary – Task 1 & Task 2 Task 1 – Describing and Visualising Data (30 marks) You will analyse and visualise open datasets about AI training compute

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ENGF0003 Mathematical Modelling and Analysis I

Coursework Summary – Task 1 & Task 2

Task 1 – Describing and Visualising Data (30 marks)

You will analyse and visualise open datasets about AI training compute.

A. Data Summary (15 marks)

  • Use the dataset provided (Dataset 1).
  • In MATLAB, create a table summarising the training compute requirements (petaFLOPS) for three AI domains of your choice (e.g. language, vision, robotics).
  • Include descriptive statistics (mean, median, variance, etc.) that help interpret the data.
  • If useful, apply a data transformation (e.g. log scale) to make results clearer, and justify mathematically why you did so.
  • Write a short analysis paragraph explaining what your statistics mean and how the transformation helps interpretation.

B. Data Visualisation (15 marks)

  • Create a graph/visualisation (e.g. bar chart, boxplot, line plot) in MATLAB showing differences in compute cost across the domains.
  • Write a short analysis comparing the results in your table and figure.
  • Explain how the visualisation supports, complements, or validates your summary table.

Goal: Show that you can describe, transform, and represent data effectively, and interpret it critically.

Task 2 – Modelling and Analysing Data (40 marks)

You will model the relationship between model size and power draw for AI training and analyse its implications.

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A. Modelling Power Draw (20 marks)

  • Use Dataset 2 for the Language domain.
  • Fit a curve (mathematical model) showing power draw vs. number of parameters (e.g. exponential, polynomial, power-law).
  • Present your results in a table like this:

Data type Parameter Parameter Measure of quality
Original / Transformed

  • Explain why you chose this type of curve, what each column means, and evaluate the quality of your fit.
  • Then find an estimate of ChatGPT-5’s number of parameters (from reliable online sources) and use your fitted model to estimate its training power draw.
  • Discuss how trustworthy your sources and estimates are.

B. Impact Discussion (20 marks)

  • Using your findings from Tasks 1 and 2, discuss the potential social, environmental, and economic impacts of AI compute and energy costs.
  • Make a logical, evidence-based argument using your results and datasets, and relevant external research.
  • You can include your own reflections and opinions if they’re supported by data.

Goal: Show you can build a quantitative model, justify it, use it to make estimates, and discuss real-world implications.

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