Best Jasper prompts for Mathematical Science Occupations, All Other

Given a dataset of monthly sales figures for the past 5 years, with 12 features including seasonal indicators, economic indicators, and lagged sales values, use a combination of ARIMA, Prophet, and LSTM models to forecast the next 12 months of sales, and provide a detailed comparison of the performance of each model using metrics such as MAE, RMSE, and MAPE, including visualizations of the predicted vs actual values and a discussion of the implications of each model's results for business decision-making, assuming a 5% monthly growth rate and accounting for potential outliers and anomalies.

For a given non-linear regression model with 5 predictors and a response variable, perform a comprehensive sensitivity analysis to quantify the effects of small changes in the input parameters on the predicted outcomes, using techniques such as partial dependence plots, SHAP values, and Morris sensitivity analysis, and provide a detailed report on the most influential parameters and their interactions, including visualizations and recommendations for model refinement and potential applications in real-world scenarios.

Given a network of 1000 nodes representing a population, with edges weighted by the probability of disease transmission between individuals, use a combination of graph theory and optimization techniques to identify the most critical nodes and edges for disease spread, and develop a strategy for optimal resource allocation to minimize the spread of the disease, considering factors such as node centrality, community structure, and edge betweenness, and provide a detailed analysis of the optimized network topology and its implications for public health policy.

For a given complex system modeled by a set of ordinary differential equations with 10 parameters, use Bayesian inference techniques such as Markov chain Monte Carlo (MCMC) and variational inference to estimate the posterior distribution of the parameters given a set of noisy observations, and provide a detailed report on the estimated parameter values, their uncertainties, and the implications for model prediction and decision-making, including visualizations of the posterior distributions and a discussion of the limitations and potential applications of the approach.