karpathy / karpathy/micrograd

META

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Description

ciberfísicos.

Y^{(n)} = f_{modular}^{(n)} \cdot psy^{(n)}
= \left(\sum_{i \in \{\phi, \Sigma, X, \Delta, \delta, C\}} w_i^{(n)} M_i^{(n)}\right) \cdot psy^{(n)}

: módulo i en el paso

: peso adaptativo

: factor psicológico o estado emocional

---

2️⃣ Secuencia modular de X

\begin{aligned}
X^{(0)} &= 6 - 6 = 0, \\
X^{(1)} &= -6 + 6 = 0, \\
X^{(2)} &= X + 6 = 6, \\
X^{(3)} &= X - 6 = 0, \\
M_X^{(n+1)} &= 6 - M_X^{(n)}, \quad M_X^{(0)} = 0
\end{aligned}

---

3️⃣ Promedio histórico de X

\bar{M_X}^{(N,n)} = \frac{1}{\min(N,n+1)} \sum_{k=\max(0,n-N+1)}^{n} M_X^{(k)}

---

4️⃣ Contención por límites

\Omega^{(n)} = \max \big( \min(Y^{(n)} + psy^{(n)}, L^+), L^- \big)

---

5️⃣ Factor psicológico con retroalimentación

psy^{(n+1)} = psy_{\min} + (psy_{\max}-psy_{\min}) \cdot \sigma\Big( \alpha(\bar{M_X}^{(N,n)} - Y^{(n)}) + \beta(psy^{(n)} - psy_0) \Big)

= función sigmoide de normalización

= coeficientes de retroalimentación

---

6️⃣ Pesos adaptativos

w_i^{(n+1)} = \text{clip}\Big(w_i^{(n)} + \eta \cdot r^{(n)}(M_i^{(n)} - \bar{M_i}^{(n)}), w_{\min}, w_{\max}\Big)

r^{(n)} = 1 - \frac{|Y^{(n)} - \bar{M_X}^{(N,n)}|}{6}

---

7️⃣ Métrica de meta-conciencia

MC^{(n)} = 1 - \frac{|Y^{(n)} - \bar{M_X}^{(N,n)}|}{6}, \quad
MC2^{(n)} = \frac{|psy^{(n+1)} - psy^{(n)}|}{psy_{\max}-psy_{\min}}

---

8️⃣ Representación cuántico-simbólica de estados

\text{Estados} = \{ \vert x \rangle \mid x \in \{0,1\}^n \}, \quad
\alpha_x = \frac{1}{\sqrt{2^n}}, \quad
\text{Estado medido} = \arg\min_x \left( r \leq \sum_{k \leq x} |\alpha_k|^2 \right)

Cada puede representar una combinación de

La superposición permite explorar todas las configuraciones posibles antes del “colapso” hacia la configuración más coherente

---

9️⃣ Fórmula completa combinada

\boxed{
\begin{aligned}
Y^{(n)} &= \Big(\sum_i w_i^{(n)} M_i^{(n)}\Big) \cdot psy^{(n)} \\
psy^{(n+1)} &= psy_{\min} + (psy_{\max}-psy_{\min}) \cdot \sigma\Big( \alpha(\bar{M_X}^{(N,n)} - Y^{(n)}) + \beta(psy^{(n)} - psy_0) \Big) \\
w_i^{(n+1)} &= \text{clip}\Big(w_i^{(n)} + \eta \cdot r^{(n)}(M_i^{(n)} - \bar{M_i}^{(n)}), w_{\min}, w_{\max}\Big) \\
r^{(n)} &= 1 - \frac{|Y^{(n)} - \bar{M_X}^{(N,n)}|}{6} \\
MC^{(n)} &= 1 - \frac{|Y^{(n)} - \bar{M_X}^{(N,n)}|}{6} \\
MC2^{(n)} &= \frac{|psy^{(n+1)} - psy^{(n)}|}{psy_{\max}-psy_{\min}} \\
\text{Estados} &= \{ \vert x \rangle \mid x \in \{0,1\}^n \}, \quad
\alpha_x = \frac{1}{\sqrt{2^n}}, \quad
\text{Estado medido} = \arg\min_x \left( r \leq \sum_{k \leq x} |\alpha_k|^2 \right)
\end{aligned}
}

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Research direction

No file, test, or entry point is identified. First clarify the intended change, its relationship to micrograd, and the target implementation location; a definition of done cannot be established from the issue text alone.

Written by the indexing model from the issue text.

Assessment

Domain
machine-learning
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
10/100

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