That phrase sounds like it might be the title of a specific paper or a "hot" topic in a textbook, but it could also mean a few different things. O. Williams’ book: Specifically the famous text Model Building in Mathematical Programming by H.P. Williams?
It seems you are looking for a solid, high-level overview of the Mathematical Programming methodology (often referred to as "Prescriptive Analytics" or "Operations Research"). modelling in mathematical programming methodol hot
| Feature | Probabilistic (LDA) | Mathematical Programming (NMF/Optimization) | | :--- | :--- | :--- | | Objective | Maximize Likelihood / Posterior | Minimize Reconstruction Error | | Inference | Variational Bayes / Gibbs Sampling | Gradient Descent / ALS / ADMM | | Convergence | Slow, asymptotic | Fast, deterministic (often linear) | | Constraints | Implicit (via Priors) | Explicit (Hard constraints via $W, H \ge 0$) | | Sparsity | Induced by Dirichlet Priors | Induced by $L_1$ Regularization terms | That phrase sounds like it might be the
$$ \min_W, H \frac12 | X - WH |_F^2 $$
Formulate the objective function to guide the system’s resolution. This function represents the quality to be optimized, such as minimizing error in a regression model. Step 5: Solving and Analysis Williams