Model Atlas · comparison lab

Compare models by decision criteria.

Do not choose a model because it is fashionable. Compare assumptions, data fit, error cost, metrics and production constraints.

vs
Linear models

Logistic Regression

A probabilistic classification baseline that is transparent, fast and surprisingly competitive.

VS
Tree ensembles

Random Forest

An ensemble of decorrelated decision trees that captures nonlinear interactions with limited preprocessing.

mental model

Learn a weighted score then pass it through a sigmoid to obtain a probability.

Many trees vote so individual tree variance is averaged away.

core math

p(y=1|x)=σ(wᵀx+b)

f(x)=1/T Σₜ fₜ(x)

best for

Binary classification · Interpretable baselines · Calibrated probability starting point

Tabular classification · Tabular regression · Strong nonlinear baseline

strengths

Fast · Explainable coefficients · Small memory footprint

Robust · Handles mixed feature scales · Feature importance options

limits

Linear boundary · Interaction engineering may be needed

Large models · Probability calibration can be weak

metrics

PR-AUC · ROC-AUC · Log loss · Calibration error

PR-AUC · ROC-AUC · RMSE · Latency

production

Standardize only when useful · Monitor calibration · Choose thresholds from business cost

Control tree count/depth · Measure inference cost · Validate feature importance carefully