diffusers done

Author: FilippoMB

Diffusers_library.ipynb

@@ -836,6 +836,7 @@
     "\n",
     "#### *Sampling algorithm*\n",
     "$\\boldsymbol{x}_T \\sim \\mathcal{N}(\\boldsymbol{0}, \\boldsymbol{I})$\n",
+    "\n",
     "**for** $t=T, \\dots, 1$ **do**\n",
     "- $\\boldsymbol{z} \\sim \\mathcal{N}(\\boldsymbol{0}, \\boldsymbol{I})$ if $t > 1$ else $\\boldsymbol{z}=0$\n",
     "- $\\boldsymbol{x}_{t-1} = \\frac{1}{\\sqrt{\\alpha_t}} \\big( \\boldsymbol{x}_{t} - \\frac{1 -\\alpha_t}{\\sqrt{1 - \\bar{ \\alpha}_t}}$ <span style=\"color:purple\"> NN$(\\boldsymbol{x}_t, t)$ </span> $\\big) + \\tilde \\beta_t \\boldsymbol{z}$\n",
@@ -3377,7 +3378,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.10.4"
+   "version": "3.9.12"
   },
   "toc": {
    "base_numbering": 1,