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THE CONSCIOUSNESS ATLAS
Read. Experiment. Follow the evidence.

ConsciousnessLearn · Explore · Joseph Anady

Poster timing- and coherence-weighted plasticity

A connection-weight change is scaled by a learning rate, a coherence-related factor, a signed difference between pre- and post-synaptic times, and an exponential timing factor. The sign depends on the source’s timing convention, which the poster does not define.

Cross-project equation postersource graphic; not an execution result
Learn with the Atlas

Combine the contributions

Practice reading a model built from several terms and weights.

Open guided lesson
poster-eq-048a2324f46f91mathematical expression
Δwij=ηΦ(Cij)(tpre−tpost)exp⁡ ⁣(−Δtτ)\Delta w_{ij}=\eta\Phi(C_{ij})(t_{\mathrm{pre}}-t_{\mathrm{post}})\exp\!\left(-\frac{\Delta t}{\tau}\right)

Read the equation

A connection-weight change is scaled by a learning rate, a coherence-related factor, a signed difference between pre- and post-synaptic times, and an exponential timing factor. The sign depends on the source’s timing convention, which the poster does not define.

Its role in the build

The Megamind Equation Atlas

Terms & definitions

TermMeaning in this source
Δw_ij

change to connection weight from i to j

η

learning rate

t_pre

pre-synaptic event time

t_post

post-synaptic event time

τ

time scale

How it works

  1. Read Δw_ij as the quantity being defined or updated by this relation.

  2. Applies an exponential factor. The exponent determines its real scaling or, for a complex exponent, its phase.

  3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

  • This single signed expression is a project variant, not the usual fully specified piecewise STDP rule. If Δt can be negative, exp(−Δt/τ) grows on that side; the poster supplies no absolute value, clipping or separate branch. C_ij and Φ require definitions.

Original context

Read the surrounding source passage
The Megamind Equation Atlas: A connection-weight change is scaled by a learning rate, a coherence-related factor, a signed difference between pre- and post-synaptic times, and an exponential timing factor. The sign depends on the source’s timing convention, which the poster does not define.

Unified AGI Equation System: A connection-weight change is scaled by a learning rate, a coherence-related factor, a signed difference between pre- and post-synaptic times, and an exponential timing factor. The sign depends on the source’s timing convention, which the poster does not define.
Exact original notation
Δw_ij = η Φ(C_ij) (t_pre − t_post) exp(−Δt/τ)

Related builds

Sources & provenance

01
Megamind equation atlas infographic.png
Panel 8: STDP LEARNING; verified transcript lines 159–165 · Jul 10, 2026
Δw_ij = η Φ(C_ij) (t_pre − t_post) exp(−Δt/τ)
02
Unified AGI equation system diagram.png
Group 3: LEARNING / PLASTICITY; verified transcript lines 60–66 · Jul 14, 2026
Δw_ij = η Φ(C_ij) (t_pre − t_post) exp(−Δt/τ)

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