BossAgent Glossary & Activation Formulas

Version: 1.0.0 Last Updated: February 5, 2026 Scope: Activation logic terms, causal metrics, confidence weighting, SQL/Cypher reference


Glossary (Plain English)

Term Symbol Definition
Conversion probability p_conv Probability a user converts (baseline or with a treatment).
Incremental lift delta_p_conv (Dp_conv) Incremental lift in conversion probability from a treatment vs. its baseline/control.
Path ROI ROI_path Return on investment for a specific journey/path (touchpoints from first exposure to conversion).
Incremental path ROI DROI_path (DROI_path) Incremental ROI of a path vs. its baseline (e.g., removing one edge/touch or vs. control).
Edge-level uplift edge_uplift The incremental lift attributed to a single edge (touchpoint -> next touchpoint or touchpoint -> conversion) holding the rest of the path constant.
Confidence weight w_conf A 0-1 weight capturing certainty (sample size, variance, recency, coherence, etc.).
Activation score activation The gated score BossAgent uses to approve actions (budget shifts, bids, status) from ROI and confidence.

Core Formulas

Incremental Lift

Dp_conv = p_treatment - p_control

Edge Uplift

edge_uplift(A->B) = Dp_conv estimated for that edge
                     (marginal, ablation, Shapley, or causal)

Path ROI

ROI_path = (Revenue_path - Cost_path) / Cost_path

Incremental Path ROI

DROI_path = ROI_path(treatment) - ROI_path(control)

Confidence Combiner (Weighted Geometric Mean)

Punishes weak links by using a geometric mean with tunable alpha weights:

w_combined = exp( SUM_i( alpha_i * ln(max(w_i, epsilon)) ) )

where SUM(alpha_i) = 1

Default alpha weights:

Signal Alpha Description
w_sample 0.40 Sample size adequacy
w_variance 0.25 Estimate precision
w_recency 0.20 Data freshness
w_coherence 0.15 Cross-signal agreement

Activation Score (ReLU-Gated)

activation = max(0,
  (beta1 * DROI_path + beta2 * edge_uplift + beta3 * Dp_conv)
  * w_combined
  - policy_threshold
)

Default coefficients:

Param Default Description
beta1 0.60 Weight on incremental path ROI
beta2 0.25 Weight on edge-level uplift
beta3 0.15 Weight on conversion lift
policy_threshold 0.60 Minimum gated score to act

Practical Tips


File Purpose
data-pipelines/dbt/models/activation_score/mart_activation_score.sql BigQuery view computing activation_score end-to-end
miz-oki-adk-agents/boss/config/neo4j_activation_loader.cypher Neo4j script to store and compute activation scores on graph edges
miz-oki-adk-agents/boss/config/kg_guardrails.yaml Guardrail rules referenced by activation gating
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