PreTS_1T模型的核心在于逆核概率分布的弹性、伸缩对偶密钥群生成序列的非线性效应的稀疏自注意力得分矩阵阵列秩形态。
$$\begin{aligned}
\sqrt{d_{\langle k,V \rangle}} \rightsquigarrow & \sqrt{\frac{V_{t,l}^{c} \cdot \tanh\left( V_{t,l}^{c} \right)^2 \oplus K_{t,l}^{R} \cdot \text{Sech}^2\left( K_{t,l}^{R} \right)}{k \cdot \text{Sech}\left( \left( a \cdot K_{t,l}^{R} \right)^2 \right) \otimes l \cdot \text{Sech}\left( \left( b \cdot V_{t,l}^{c} \right)^2 \right)}} \\
= & \sqrt{\frac{\varepsilon}{kl} \cdot \frac{K_{t,l}^{R} \oplus V_{t,l}^{c} \cdot \tanh\left( V_{t,l}^{c} \right)^2}{\text{Sech}\left( \left( K_{t,l}^{R} \right)^2 \right) \otimes \text{Sech}\left( \left( V_{t,l}^{c} \right)^2 \right)}} \\
= & \sqrt{\frac{\varepsilon}{kl}} \times \sqrt{\frac{K_{t,l}^{R}}{\text{Sech}\left( \left( K_{t,l}^{R} \right)^2 \right) \otimes \text{Sech}\left( \left( V_{t,l}^{c} \right)^2 \right)} \oplus \frac{V_{t,l}^{c} \cdot \tanh\left( V_{t,l}^{c} \right)^2}{\text{Sech}\left( \left( K_{t,l}^{R} \right)^2 \right) \otimes \text{Sech}\left( \left( V_{t,l}^{c} \right)^2 \right)}}
\end{aligned}$$
$$d_{\langle k,V \rangle} \rightsquigarrow \frac{\varepsilon}{kl} \times \frac{K_{t,l}^{R}}{\mathrm{Sech}\left( \left( K_{t,l}^{R} \right)^{2} \right) \otimes \mathrm{Sech}\left( \left( V_{t,l}^{c} \right)^{2} \right)} \oplus \frac{V_{t,l}^{c} \cdot \tanh\left( V_{t,l}^{c} \right)^{2}}{\mathrm{Sech}\left( \left( K_{t,l}^{R} \right)^{2} \right) \otimes \mathrm{Sech}\left( \left( V_{t,l}^{c} \right)^{2} \right)} $$
某些非线性微分方程tanh(Vt,lc)2的性质能辅助求解,优化问题中可作为约束条件,并依赖于极限理论计算准确性确定在边界处的取值趋势。
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