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Use the lesson to connect the AI concept to a familiar econometric object and equation.
Cognaptus Academy Special Course
A 15-module bridge from econometric intuition to modern AI, with browser labs and matched Python and R examples.
The Translation Rule
For each AI concept, first identify the familiar econometric object. Then identify what becomes learned, nonlinear, sequential, conditional, or decision-dependent.
This special course is for readers who already reason with statistical models and want a precise bridge into modern AI. It is separate from the business-first Academy tracks: work through the modules in order, use the labs to test each concept, and keep the econometric comparison explicit.
Course Map
Each lesson is self-contained, but the sequence deliberately builds the vocabulary and mathematical intuition needed by later modules.
Module 00
Bridge Estimator, model selection, simulation into modern AI with equations, intuition, an interactive browser lab, and matching Python/R code.
Module 01
Bridge Bootstrap, simulation, stochastic processes into modern AI with equations, intuition, an interactive browser lab, and matching Python/R code.
Module 02
Bridge Maximum likelihood for discrete outcomes into modern AI with equations, intuition, an interactive browser lab, and matching Python/R code.
Module 03
Bridge PCA, factor models, estimated latent variables into modern AI with equations, intuition, an interactive browser lab, and matching Python/R code.
Module 04
Bridge OLS, logit, nonlinear regression into modern AI with equations, intuition, an interactive browser lab, and matching Python/R code.
Module 05
Bridge Gradient-based MLE and numerical optimization into modern AI with equations, intuition, an interactive browser lab, and matching Python/R code.
Module 06
Bridge Forecast evaluation, MSE, BIC, train/test validation into modern AI with equations, intuition, an interactive browser lab, and matching Python/R code.
Module 07
Bridge PCA, factor analysis, clustering into modern AI with equations, intuition, an interactive browser lab, and matching Python/R code.
Module 08
Bridge Distributed lags, moving filters, local features into modern AI with equations, intuition, an interactive browser lab, and matching Python/R code.
Module 09
Bridge AR models, state-space recursion into modern AI with equations, intuition, an interactive browser lab, and matching Python/R code.
Module 10
Bridge Weighted averages, kernels, state-dependent coefficients into modern AI with equations, intuition, an interactive browser lab, and matching Python/R code.
Module 11
Bridge Mixture models, regimes, latent-class probabilities into modern AI with equations, intuition, an interactive browser lab, and matching Python/R code.
Module 12
Bridge Dynamic programming, stochastic control, Markov states into modern AI with equations, intuition, an interactive browser lab, and matching Python/R code.
Module 13
Bridge Direct optimization of a parameterized decision rule into modern AI with equations, intuition, an interactive browser lab, and matching Python/R code.
Module 14
Bridge Forecasting, classification, model combination, decision thresholds into modern AI with equations, intuition, an interactive browser lab, and matching Python/R code.
How To Use This Course
Use the lesson to connect the AI concept to a familiar econometric object and equation.
Change one input at a time in the browser lab and predict the result before observing it.
Inspect the matched base-R and NumPy examples to see the same mechanism in code.