自从DDPM 以来,扩散模型的参数化形式一般都是 \epsilon-prediction,即预测噪声,再根据噪声计算出数据 \mathbf{x} 。相当于间接地预测 \mathbf{x}: \hat{\mathbf{x}}_\theta(\mathbf{z}_t)=\frac{1}{\alpha_t}(\mathbf{z}_t-\sigma_t\hat\epsilon_\theta(\mathbf{z}_t))。 在常规的扩散模型训练...
To investigate the optical properties, the frequency-dependent dielectric function was calculated within the independent particle approximation (IPA) which describes single-particle excitations, as implemented in the epsilon code inbuilt in the QE package. The calculation was performed by means of self-co...
kappa-epsilon modelWe analyze differences between ground-state electron densities of a model molecular complex obtained by solving the Kohn-Sham equations with constrained electron density (KSCED) [Wesolowski and Warshel, J. Phys. Chem. 97, 8050 (1993)] and as a solution of the standard Kohn-...
Our results show that PMixED achieves a stronger privacy guarantee than sample-level privacy and outperforms DP-SGD for privacy $\epsilon = 8$ on large-scale datasets. Thus, PMixED offers a practical alternative to DP training methods for achieving strong generative utility without compromising ...
在DDIM的去噪过程中,还需要推导出\epsilon与v, x_t之间的关系式\epsilon = f(v,x_t),这里也再推导一下。 给定下面两个等式: v = \alpha \epsilon - \sigma x z = \alpha x + \sigma \epsilon 我们的目标是要消去x,也就是x_0,因为这个在去噪时是不可知的。观察式子后,我们两个式子两边分别乘以...