This model allows factor importance to evolve across time or stages,
avoiding the limitations of static selection indices.
Dynamic Index Formula
I(t) = Σ bᵢ(t) · xᵢ(t)
Interactive Time-Dependent Index Calculator
Enter factor values and their time-dependent weights for the selected
15 factors at time t.
Factor
xᵢ(t)
bᵢ(t)
Interpretation:
Higher values of I(t) indicate stronger performance at the specified time.
Re-evaluating across stages enables dynamic, regime-aware selection.
In complex systems such as plant breeding, financial markets, or large-scale decision models,
hundreds of variables influence outcomes. Evaluating all simultaneously introduces noise
and inefficiency.
The Factor-Selection Operator dynamically reduces the full factor space
to the most influential subset at time t.
Selection Operator
S(t): {x₁, x₂, …, x₅₀₀} → {xₖ₁, xₖ₂, …, xₖ₁₅}
Importance Function
Importanceᵢ(t) = w₁Rᵢ(t) + w₂Hᵢ + w₃Vᵢ(t)
Rᵢ(t) – Time-specific relevance
Hᵢ – Stability / heritability
Vᵢ(t) – Variance / responsiveness
w₁, w₂, w₃ – User-controlled priorities
Interactive Importance Calculator
Weight Parameters
Interpretation:
Higher importance scores indicate a greater likelihood that the factor
will be selected among the top 15 under the current weighting strategy.
This model evaluates how a stock performs across different
market regimes, similar to Genotype × Environment analysis
in plant breeding.
SMIs = Σ wj · Rs,j
Interactive SMI Calculator
Enter returns under different market regimes and assign
importance weights to each regime.
Market Regime
Return Rs,j (%)
Weight wj
Interpretation:
High SMI values indicate stocks that perform consistently
across market cycles, making them suitable for long-term,
regime-aware portfolios.