diff --git a/examples/torch/tutorial.ipynb b/examples/torch/tutorial.ipynb index 0f995e3..bfedab5 100644 --- a/examples/torch/tutorial.ipynb +++ b/examples/torch/tutorial.ipynb @@ -102,7 +102,7 @@ "\\mbox{minimize} & \\sum_{i=1}^n (y_i - x)^2\n", "\\end{array}\n", "\\end{equation}\n", - "Variable $x$, parameters $y\\in\\mathbf{R}^n$\n", + "Variable $x$ and parameters $y\\in\\mathbf{R}^n$\n", "\n", "The solution map is clearly:\n", "$$x=\\sum_{i=1}^n y_i / n$$" @@ -117,8 +117,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "solution: -0.380\n", - "analytical solution: -0.380\n" + "solution: 0.247\n", + "analytical solution: 0.247\n" ] } ], @@ -209,8 +209,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "solution: -0.350\n", - "analytical solution: -0.350\n" + "solution: -0.046\n", + "analytical solution: -0.046\n" ] } ], @@ -246,8 +246,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "gradient: [-0. 0. -0. 1. 0. -0. 0.]\n", - "analytical gradient: [0. 0. 0. 1. 0. 0. 0.]\n" + "gradient: [-0. 0. 0. -0. 1. -0. 0.]\n", + "analytical gradient: [0. 0. 0. 0. 1. 0. 0.]\n" ] } ], @@ -403,7 +403,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -451,7 +451,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -477,17 +477,53 @@ "execution_count": 12, "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "tensor([[ 1.7070],\n", + " [ 0.7399],\n", + " [-2.7012],\n", + " [ 5.7272],\n", + " [ 1.9874],\n", + " [ 1.5766],\n", + " [-0.3860],\n", + " [ 2.0516],\n", + " [-0.8356],\n", + " [-1.1278],\n", + " [ 1.0755],\n", + " [ 1.7270],\n", + " [ 1.4034],\n", + " [-0.2923],\n", + " [ 0.4970],\n", + " [ 3.3615],\n", + " [ 1.0359],\n", + " [-2.5061],\n", + " [ 3.5495],\n", + " [ 2.2642],\n", + " [ 3.4976],\n", + " [ 0.8965],\n", + " [ 2.9540],\n", + " [ 1.3628],\n", + " [ 1.6755],\n", + " [-0.0068],\n", + " [-1.5260],\n", + " [-0.2996],\n", + " [-0.6973],\n", + " [ 2.4881]])\n" + ] + }, { "name": "stderr", "output_type": "stream", "text": [ - "/home/shane/miniconda3/lib/python3.7/site-packages/matplotlib/patches.py:1306: VisibleDeprecationWarning: Creating an ndarray from ragged nested sequences (which is a list-or-tuple of lists-or-tuples-or ndarrays with different lengths or shapes) is deprecated. If you meant to do this, you must specify 'dtype=object' when creating the ndarray\n", + "/Users/bda/anaconda3/lib/python3.7/site-packages/matplotlib/patches.py:1266: VisibleDeprecationWarning: Creating an ndarray from ragged nested sequences (which is a list-or-tuple of lists-or-tuples-or ndarrays with different lengths or shapes) is deprecated. If you meant to do this, you must specify 'dtype=object' when creating the ndarray\n", " verts = np.dot(coords, M) + (x + dx, y + dy)\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -503,6 +539,7 @@ "plt.figure(figsize=(10, 6))\n", "a_tch, b_tch = fit_lr(Xtrain, ytrain, torch.tensor([.05]), torch.tensor([.05]), solver_args={\"eps\": 1e-8})\n", "test_loss = (Xtest @ a_tch.flatten() + b_tch - ytest).pow(2).mean()\n", + "Xtrain.grad.zero_()\n", "test_loss.backward()\n", "a_tch_test, b_tch_test = fit_lr(Xtest, ytest, torch.tensor([0.]), torch.tensor([0.]), solver_args={\"eps\": 1e-8})\n", "plt.scatter(Xtrain.detach().numpy(), ytrain.numpy(), s=20)\n", @@ -525,7 +562,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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