diff --git a/chapter1_transformer_interp/exercises/part1_transformer_from_scratch/1.1_Transformer_from_Scratch_exercises.ipynb b/chapter1_transformer_interp/exercises/part1_transformer_from_scratch/1.1_Transformer_from_Scratch_exercises.ipynb index eeb9266..67cf290 100644 --- a/chapter1_transformer_interp/exercises/part1_transformer_from_scratch/1.1_Transformer_from_Scratch_exercises.ipynb +++ b/chapter1_transformer_interp/exercises/part1_transformer_from_scratch/1.1_Transformer_from_Scratch_exercises.ipynb @@ -2592,16 +2592,46 @@ "> You should spend up to 10-15 minutes on this exercise.\n", "> ```\n", "\n", - "Now, we can put together the attention, MLP and layernorms into a single transformer block. Remember to implement the residual connections correctly!" + "Now, we can put together the attention, MLP and layernorms into a single transformer block. Remember to implement the residual connections correctly!\n", + "\n", + "![image.png](data:image/png;base64,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)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 200, "metadata": { - "id": "4Qwi3GknfdfP" + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "4Qwi3GknfdfP", + "outputId": "fdc68f75-a896-4ca4-fc84-539cd8e3179d" }, - "outputs": [], + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Input shape: torch.Size([2, 4, 768])\n", + "torch.Size([2, 4, 768])\n", + "torch.Size([12, 768, 64])\n", + "torch.Size([12, 768, 64])\n", + "torch.Size([12, 768, 64])\n", + "Output shape: torch.Size([2, 4, 768]) \n", + "\n", + "Input shape: torch.Size([1, 35, 768])\n", + "torch.Size([1, 35, 768])\n", + "torch.Size([12, 768, 64])\n", + "torch.Size([12, 768, 64])\n", + "torch.Size([12, 768, 64])\n", + "Output shape: torch.Size([1, 35, 768])\n", + "Reference output shape: torch.Size([1, 35, 768]) \n", + "\n", + "100.00% of the values are correct\n", + "\n" + ] + } + ], "source": [ "class TransformerBlock(nn.Module):\n", " def __init__(self, cfg: Config):\n", @@ -2613,7 +2643,10 @@ " self.mlp = MLP(cfg)\n", "\n", " def forward(self, resid_pre: Float[Tensor, \"batch position d_model\"]) -> Float[Tensor, \"batch position d_model\"]:\n", - " raise NotImplementedError()\n", + " l1 = self.ln1.forward(resid_pre)\n", + " l2 = self.attn.forward(l1) + resid_pre\n", + " l3 = self.ln2.forward(l2)\n", + " return self.mlp.forward(l3)+l2\n", "\n", "\n", "tests.rand_float_test(TransformerBlock, [2, 4, 768])\n",