mirror of
https://github.com/allaunthefox/Research-Stack.git
synced 2026-07-31 03:05:21 +00:00
90 lines
1.8 KiB
Markdown
90 lines
1.8 KiB
Markdown
# Adaptive 1-Bit CMYK Merged Architecture
|
|
|
|
**Source**: ChatGPT refinement on combining 1-bit noise-shaped encoding with CMYK/SLUQ routing
|
|
**Status**: Design integration ready
|
|
**Cross-ref**: LUT_AS_DSP_EQUATION.md, FPGA_WARDEN_NODE_SPEC.md
|
|
|
|
---
|
|
|
|
## Core Insight
|
|
|
|
The 1-bit pipeline provides **cheap signal encoding over time**.
|
|
CMYK/SLUQ provides **cheap routing based on signal trustworthiness**.
|
|
|
|
Combined: **Adaptive encoder** that triages effort based on stream stability.
|
|
|
|
---
|
|
|
|
## The Merged Update Loop
|
|
|
|
### 1. φ-Accumulator (Threshold Generation)
|
|
|
|
$$
|
|
\boxed{
|
|
\Phi_{t+1} = \Phi_t + \Delta_\phi \quad (\text{mod } 2^{32})
|
|
}
|
|
$$
|
|
|
|
$$
|
|
\boxed{
|
|
i(t) = (\Phi_t \gg n) \oplus \text{mask}
|
|
}
|
|
$$
|
|
|
|
$$
|
|
\boxed{
|
|
\theta_t = \text{LUT}_{\text{void}}[i(t)]
|
|
}
|
|
$$
|
|
|
|
### 2. 1-Bit Noise-Shaped Encoder
|
|
|
|
$$
|
|
\boxed{
|
|
b_t = \begin{cases} 1 & \text{if } v_t + e_{t-1} > \theta_t \\ 0 & \text{otherwise} \end{cases}
|
|
}
|
|
$$
|
|
|
|
$$
|
|
\boxed{
|
|
e_t = v_t + e_{t-1} - b_t
|
|
}
|
|
$$
|
|
|
|
### 3. SLUQ Routing Accumulator
|
|
|
|
$$
|
|
\boxed{
|
|
a_{t+1} = a_t - (a_t \gg r) + \lambda_1 |e_t| + \lambda_2 \Delta_t + \lambda_3 m_t
|
|
}
|
|
$$
|
|
|
|
### 4. CMYK State Classification
|
|
|
|
$$
|
|
\boxed{
|
|
s_t = a_t \gg 14 \in \{0, 1, 2, 3\}}
|
|
$$
|
|
|
|
| State | Bits | Action |
|
|
|-------|------|--------|
|
|
| **K** | 00 | Fast path - normal 1-bit pipeline |
|
|
| **C** | 01 | Monitor - widen observation window |
|
|
| **M** | 10 | Verify - secondary check vs attestation |
|
|
| **Y** | 11 | Prune/Reset - swap shadow table |
|
|
|
|
---
|
|
|
|
## Stress Function
|
|
|
|
$$
|
|
\boxed{
|
|
\text{stress}_t = \alpha |e_t| + \beta |\hat{\mu}_t - \mu^*_t| + \gamma \cdot \text{popcount}(\text{LUT}_{\text{void}}[i] \land \text{deviation})
|
|
}
|
|
$$
|
|
|
|
---
|
|
|
|
## Summary
|
|
|
|
**A 1-bit noise-shaped transport encoder whose local residual stress is bucketed by a 2-bit SLUQ state machine into CMYK routing policies, allowing stable segments to flow cheaply and unstable segments to trigger verification or reset.**
|