Source identity
| Field | Recorded value |
|---|---|
| Source type | project equation-poster image |
| Original record | Marketing intelligence equation infographic.png |
| Date | Jul 5, 2026 |
| Path or archive member | Equation posters/Marketing intelligence equation infographic.png |
| Original SHA-256 | 759bb625344bb1359b65ef76d4ab6889c013949f7e64eb822cc208c251e3f2a1 |
| Reading-copy SHA-256 | 3a06eb53a933530763cc513814bb0fac34aa2d398cf3cedb43332dffe1149aee |
The original equation poster
Recovered source transcript
Download complete source text ↓448 lines · 7.8 KB
The Marketing Intelligence Equation
===================================
SOURCE: Marketing intelligence equation infographic.png
SOURCE ID: libsrc-26575879a0aa
ORIGINAL SHA256: 759bb625344bb1359b65ef76d4ab6889c013949f7e64eb822cc208c251e3f2a1
REVIEW: 2026-10-17. The original PNG is authoritative. This reading copy separates manually inspected mathematical transcriptions from raw OCR. It is not a verbatim embedded-text extraction.
VISUAL REVIEW NOTES
- Strategy labels shown around the weights diagram are urgency, authority, emotional_pull, curiosity, visual_contrast, social_proof, offer_strength, clarity, trust_signal, and call_to_action.
- The five-step workflow restates measure, compute deltas, apply matrix pressure, reweight, and optimize; it adds no further numeric equation.
- This poster is conceptual evidence for the proposed update, not a verification of improved engagement or conversion.
MANUALLY INSPECTED FORMULAS
Adaptive strategy-weight update
Image region: Central highlighted equation
W_{t+1} = softmax(log(w_t) + β(Pd_t))
Legibility: Legible
Editorial mathematical explanation: Updates the strategy distribution by applying softmax to log current weights plus scaled performance pressure.
Editorial note: The title equation visually uses W on the left while the variable legend labels w_{t+1}; retain that capitalization inconsistency.
Editorial note: The poster provides no numeric performance matrix, initial strategy weights, adaptation strength, measurement interval, or execution evidence.
Editorial note: The displayed log requires positive weights for a finite real-valued calculation.
Performance-delta vector
Image region: Lower-left PERFORMANCE VECTOR panel
d_t = [ ΔCTR, −ΔCPC, −ΔCPA, ΔCR, ΔRPC, −ΔBounceRate, ΔEngagement ]
Legibility: Legible
Editorial mathematical explanation: Positive engagement, click-through, conversion and revenue changes increase the input, while cost and bounce changes have negative signs.
Editorial note: CPM is listed as a measured performance signal but is absent from this displayed seven-component delta vector.
Performance pressure
Image region: Lower-right PERFORMANCE PRESSURE panel
Pd_t = P · d_t
Legibility: Legible
Editorial mathematical explanation: Maps the delta vector through a performance matrix to produce pressure for each strategy dimension.
Illustrative pressure-input vector
Image region: Column vector in PERFORMANCE PRESSURE diagram
[ +0.12, −0.08, −0.15, +0.20, +0.18, −0.10, +0.14 ]ᵀ
Legibility: Legible
Editorial mathematical explanation: Shows seven example signed input values entering the depicted matrix product.
Editorial note: These are illustrative values shown in the poster. No sample, campaign dataset, units, or provenance for these numbers is supplied.
Click-through rate
Image region: Left PERFORMANCE SIGNALS column
CTR = clicks / impressions
Legibility: Legible
Editorial mathematical explanation: Defines the named performance ratio used or referenced in the framework.
Editorial note: Denominator-zero handling and time windows are not specified.
Cost per click
Image region: Left PERFORMANCE SIGNALS column
CPC = cost / clicks
Legibility: Legible
Editorial mathematical explanation: Defines the named performance ratio used or referenced in the framework.
Editorial note: Denominator-zero handling and time windows are not specified.
Cost per thousand impressions
Image region: Left PERFORMANCE SIGNALS column
CPM = 1000 · cost / impressions
Legibility: Legible
Editorial mathematical explanation: Defines the named performance ratio used or referenced in the framework.
Editorial note: Denominator-zero handling and time windows are not specified.
Cost per acquisition
Image region: Left PERFORMANCE SIGNALS column
CPA = cost / acquisitions
Legibility: Legible
Editorial mathematical explanation: Defines the named performance ratio used or referenced in the framework.
Editorial note: Denominator-zero handling and time windows are not specified.
Conversion rate
Image region: Left PERFORMANCE SIGNALS column
CR = conversions / visitors
Legibility: Legible
Editorial mathematical explanation: Defines the named performance ratio used or referenced in the framework.
Editorial note: Denominator-zero handling and time windows are not specified.
Revenue per click
Image region: Left PERFORMANCE SIGNALS column
RPC = revenue / clicks
Legibility: Legible
Editorial mathematical explanation: Defines the named performance ratio used or referenced in the framework.
Editorial note: Denominator-zero handling and time windows are not specified.
Bounce rate
Image region: Left PERFORMANCE SIGNALS column
Bounce Rate = bounces / sessions
Legibility: Legible
Editorial mathematical explanation: Defines the named performance ratio used or referenced in the framework.
Editorial note: Denominator-zero handling and time windows are not specified.
SOURCE-LOCAL SYMBOL DEFINITIONS
w_t = Current strategy weight vector.
w_{t+1} = Next strategy weight vector; the large equation uses a capital-shaped W on its left side.
softmax = Normalized strategy distribution.
log(w_t) = Memory of current weighting.
β = Adaptation strength.
P = Performance matrix.
d_t = Performance delta signal.
Pd_t = Performance pressure.
CTR = Clicks / impressions.
CPC = Cost / clicks.
CPM = 1000 · cost / impressions.
CPA = Cost / acquisitions.
CR = Conversions / visitors.
RPC = Revenue / clicks.
BounceRate = Bounces / sessions.
RAW OCR READING AID — NOT A VERIFIED EQUATION TRANSCRIPT
The following preserves the complete Tesseract output, including recognition errors, decorative glyphs and layout artifacts. Use the manually inspected records above and the original PNG for mathematical notation.
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"MARKETING INTELLIGENCE EQUATION
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AN ADAPTIVE FRAMEWORK FOR PERFORMANCE-DRIVEN MARKETING OPTIMIZATION
PERFORMANCE SIGNALS
RAW acoawance
OPTIMIZED STRATEGY
_ STRATEGY WEIGHTS
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CTR
clicks / impressions
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yg
4,
authority
emotional pul
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CPC
cost / clicks
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INTELLIGENCE
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CPM =1000- cost / impressions
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CPA = cost / acquisitions
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Wrat = softmax(log(w;) + B(Pd,))
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So RPC = revenue / clicks
f Psychological, visual, and conversion strategies are reweighted by real performance signals. |
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Bounce Rate =
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bounces / sessions
PERFORMANCE VECTOR
CORE VARIABLES
(rr PERFORMANCE PRESSURE
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We
= current strategy weight vector |
Pd, = P-d,
d, = [ ACTR, -ACPC, -ACPA, ACR
Wear = next strategy weight vector
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ARPC, -ABounceRate, A Engagement |
softmax = normalized strategy distribution
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Bounce Engagement
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Good performance increases influence. Falling costs
4,
= performance delta signal
increase influence because efficieney improves.
Pd, = performance pressure
Transforms performance deltas into pressure
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1. MEASURE
CAMPAIGN
2.0MPUTE
3. APPLY
4, REWEIGHT
5. OPTIMIZE
ENGAGEMENT &
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PERFORMANCE
PRESSURE
‘STRATEGIES
CONVERSION
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Collect real-time data
Compare to baseline
Convert deltas into
Update weights using
Deliver stronger messages
across key metrics.
and compute changes.
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THE SYSTEM AMPLIFIES WHAT CONVERTS AND SUPPRESSES WHAT WASTES ATTENTION
Adaptive pressure continuously reshapes the message toward higher engagement, trust, and action.
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Mathematical records from this source
0102030405060708091011
Marketing performance-change vector
Collect seven changes into a signal vector. Click-through rate, conversion rate, revenue per click and engagement enter positively; cost per click, cost per acquisition and bounce…
Click-through rate
The share of impressions that receive clicks; it requires a nonzero impression count. Defines the named performance ratio used or referenced in the framework.
Cost per click
Average spend per click over a common reporting window; it requires nonzero clicks. Defines the named performance ratio used or referenced in the framework.
Cost per thousand impressions
Spend scaled to one thousand impressions; it requires nonzero impressions. Defines the named performance ratio used or referenced in the framework.
Cost per acquisition
Average spend per recorded acquisition; acquisition criteria and attribution window must be specified. Defines the named performance ratio used or referenced in the framework.
Conversion rate
The ratio of conversions to visitors in the selected population. The poster uses visitors rather than sessions or clicks. Defines the named performance ratio used or referenced…
Revenue per click
Revenue divided by clicks over a consistent attribution interval; zero-click periods require a handling rule. Defines the named performance ratio used or referenced in the…
Adaptive strategy-weight update
Updates the strategy distribution by applying softmax to log current weights plus scaled performance pressure.
Performance pressure
Maps the delta vector through a performance matrix to produce pressure for each strategy dimension.
Illustrative pressure-input vector
Shows seven example signed input values entering the depicted matrix product.
Bounce rate
Defines the named performance ratio used or referenced in the framework.