diff --git a/tutorials/02_flexible_interface.ipynb b/tutorials/02_flexible_interface.ipynb index ab6356011..ec39710a3 100644 --- a/tutorials/02_flexible_interface.ipynb +++ b/tutorials/02_flexible_interface.ipynb @@ -46,9 +46,11 @@ "metadata": {}, "source": [ "```Python\n", - "from sbi.inference import SNPE, prepare_for_sbi, simulate_for_sbi\n", + "from sbi.utils.user_input_checks import process_prior, process_simulator\n", + "from sbi.inference import SNPE, simulate_for_sbi\n", "\n", - "simulator, prior = prepare_for_sbi(simulator, prior)\n", + "prior, num_parameters, prior_returns_numpy = process_prior(prior)\n", + "simulator = process_simulator(simulator, prior, prior_returns_numpy)\n", "inference = SNPE(prior)\n", "\n", "theta, x = simulate_for_sbi(simulator, proposal=prior, num_simulations=1000)\n", @@ -81,7 +83,8 @@ "\n", "from sbi import analysis as analysis\n", "from sbi import utils as utils\n", - "from sbi.inference import SNPE, prepare_for_sbi, simulate_for_sbi" + "from sbi.utils.user_input_checks import process_prior, process_simulator\n", + "from sbi.inference import SNPE, simulate_for_sbi" ] }, { @@ -115,7 +118,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "In the flexible interface, you have to ensure that your simulator and prior adhere the requirements of `sbi`. You can do so with the `prepare_for_sbi()` function." + "In the flexible interface, you have to ensure that your simulator and prior adhere to the requirements of `sbi`. You can do so with the `process_simulator()` and `process_prior()` functions." ] }, { @@ -124,7 +127,8 @@ "metadata": {}, "outputs": [], "source": [ - "simulator, prior = prepare_for_sbi(linear_gaussian, prior)" + "prior, num_parameters, prior_returns_numpy = process_prior(prior)\n", + "simulator = process_simulator(linear_gaussian, prior, prior_returns_numpy)" ] }, { @@ -158,7 +162,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "66d28cf9f1304ca7838576033dc09099", + "model_id": "7dd917a14e39493eb2539ab3144eb736", "version_major": 2, "version_minor": 0 }, @@ -206,7 +210,7 @@ "name": "stdout", "output_type": "stream", "text": [ - " Neural network successfully converged after 73 epochs." + " Neural network successfully converged after 124 epochs." ] } ], @@ -254,7 +258,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "037b102711844d3fbc63575522a65338", + "model_id": "f702b6b9e9a64bd88ba328e7cdb24f1c", "version_major": 2, "version_minor": 0 }, @@ -267,14 +271,12 @@ }, { "data": { - "image/png": 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\n", 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", "text/plain": [ - "
" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -329,7 +331,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.11" + "version": "3.11.8" } }, "nbformat": 4, diff --git a/tutorials/03_multiround_inference.ipynb b/tutorials/03_multiround_inference.ipynb index 1d0ec3331..4f1d992f4 100644 --- a/tutorials/03_multiround_inference.ipynb +++ b/tutorials/03_multiround_inference.ipynb @@ -36,9 +36,9 @@ "import torch\n", "\n", "from sbi.analysis import pairplot\n", - "from sbi.inference import SNPE, prepare_for_sbi, simulate_for_sbi\n", - "from sbi.utils import BoxUniform\n", - "\n" + "from sbi.utils.user_input_checks import process_prior, process_simulator\n", + "from sbi.inference import SNPE, simulate_for_sbi\n", + "from sbi.utils import BoxUniform" ] }, { @@ -49,7 +49,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "b940e1c41b30441381978b8c8ef4398e", + "model_id": "7896ab4521dc4df795c764435e90c80b", "version_major": 2, "version_minor": 0 }, @@ -64,13 +64,13 @@ "name": "stdout", "output_type": "stream", "text": [ - " Neural network successfully converged after 111 epochs." + " Neural network successfully converged after 127 epochs." ] }, { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "9bfbbaefc66b46c2a0e4cefa243fadbd", + "model_id": "1a1bb62c08f9462a8f50b86c63197103", "version_major": 2, "version_minor": 0 }, @@ -84,7 +84,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "31f8ec69ebcd4e56beab1c93713d09b1", + "model_id": "55f3abf1692e496192259020140d59a0", "version_major": 2, "version_minor": 0 }, @@ -100,7 +100,7 @@ "output_type": "stream", "text": [ "Using SNPE-C with atomic loss\n", - " Neural network successfully converged after 29 epochs." + " Neural network successfully converged after 23 epochs." ] } ], @@ -114,6 +114,10 @@ "prior = BoxUniform(low=-2 * torch.ones(num_dim), high=2 * torch.ones(num_dim))\n", "simulator = lambda theta: theta + torch.randn_like(theta) * 0.1\n", "\n", + "# Ensure compliance with sbi's requirements.\n", + "prior, num_parameters, prior_returns_numpy = process_prior(prior)\n", + "simulator = process_simulator(simulator, prior, prior_returns_numpy)\n", + "\n", "inference = SNPE(prior)\n", "\n", "posteriors = []\n", @@ -145,7 +149,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "First, we define a simple prior and simulator and ensure that they comply with `sbi` by using `prepare_for_sbi`:\n" + "First, we define a simple prior and simulator and ensure that they comply with `sbi` by using `process_simulator()` and `process_prior()`:\n" ] }, { @@ -164,7 +168,8 @@ "metadata": {}, "outputs": [], "source": [ - "simulator, prior = prepare_for_sbi(linear_gaussian, prior)" + "prior, num_parameters, prior_returns_numpy = process_prior(prior)\n", + "simulator = process_simulator(linear_gaussian, prior, prior_returns_numpy)" ] }, { @@ -198,7 +203,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "655fa3c4aacd4ed39606572c7e26544d", + "model_id": "db138516a6a849d8ad6782810ea1b05b", "version_major": 2, "version_minor": 0 }, @@ -213,13 +218,13 @@ "name": "stdout", "output_type": "stream", "text": [ - " Neural network successfully converged after 83 epochs." + " Neural network successfully converged after 89 epochs." ] }, { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "897cee4012534202a211b220f8fbb0ea", + "model_id": "4a03c9c3f7a64ba482f0dde5729cf02a", "version_major": 2, "version_minor": 0 }, @@ -233,7 +238,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "5456ded71dfa449a98eb2d1774253f22", + "model_id": "e5cc907556a44dcf8450df73b110efae", "version_major": 2, "version_minor": 0 }, @@ -249,7 +254,7 @@ "output_type": "stream", "text": [ "Using SNPE-C with atomic loss\n", - " Neural network successfully converged after 21 epochs." + " Neural network successfully converged after 42 epochs." ] } ], @@ -294,7 +299,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "9269f994e95c4a48a5617fadc44f4a4a", + "model_id": "a4e10d3457f74f388f9f7cfb03e58450", "version_major": 2, "version_minor": 0 }, @@ -307,7 +312,7 @@ }, { "data": { - "image/png": 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", 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", 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" ] @@ -342,7 +347,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.18" + "version": "3.11.8" } }, "nbformat": 4, diff --git a/tutorials/05_embedding_net.ipynb b/tutorials/05_embedding_net.ipynb index 3ca262ef9..b3b930860 100644 --- a/tutorials/05_embedding_net.ipynb +++ b/tutorials/05_embedding_net.ipynb @@ -39,7 +39,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 1, @@ -54,7 +54,8 @@ "import torch.nn.functional as F\n", "\n", "from sbi import analysis, utils\n", - "from sbi.inference import SNPE, prepare_for_sbi, simulate_for_sbi\n", + "from sbi.utils.user_input_checks import process_prior, process_simulator\n", + "from sbi.inference import SNPE, simulate_for_sbi\n", "\n", "seed = 0\n", "torch.manual_seed(seed)" @@ -160,7 +161,7 @@ }, { "data": { - "image/png": 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", "text/plain": [ "
" ] @@ -278,7 +279,8 @@ ")\n", "\n", "# make a SBI-wrapper on the simulator object for compatibility\n", - "simulator_wrapper, prior = prepare_for_sbi(simulator_model, prior)" + "prior, num_parameters, prior_returns_numpy = process_prior(prior)\n", + "simulator_wrapper = process_simulator(simulator_model, prior, prior_returns_numpy)" ] }, { @@ -304,7 +306,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "7bfd89d4704e412eba347934b8c092d2", + "model_id": "426b31d4c2a34bfa9e77d4d5c770bebb", "version_major": 2, "version_minor": 0 }, @@ -330,7 +332,7 @@ "name": "stdout", "output_type": "stream", "text": [ - " Neural network successfully converged after 96 epochs." + " Neural network successfully converged after 220 epochs." ] } ], @@ -356,7 +358,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "8585e61f97834eadb56d4d42385d1d7a", + "model_id": "9ae61dc8372d406e93e97d5e605048bb", "version_major": 2, "version_minor": 0 }, @@ -389,7 +391,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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uiEMPff22NzqQI7EBIDmxASA5sQEgOWejQTlqa3v9eE1ExK5dEY4BkjNbNgAkJzYAJCc2ACQnNlDm/mtbe94jgNhAufsfP3osWgSHnIkNlLn2zkK0trlMBfkSGwCSExsAkhMbAJITGwCSExsAkhMbAJITGwCSExsAkhMbAJITGwCSExsoQxbfZKARGyhDrbuL10Lbam00ciY2UObqaqpj/rJmKz+TK7GBMvfDi0+x8jO5Exsoc6Pra/MeAcQGgPTEBoDkxAaA5MQGgOTEBoDkxAaA5MQGgOTEBoDkxAaA5MQGgOTEBoDkxAaA5MQGgOTEBoDkxAaA5MQGgOTEBoDkxAaA5MQGKsTWto68R6CCiQ2UucbhtVFXUx3zlzVHy7b2vMehQokNlLnxo+piydyp0d5ZiFZbN+REbKACjKmvzXsEKpzYAJCc2ACQnNgAkJzYAJCc2ACQnNgAkJzYQBl61edpGGDEBspMy7b2uOzuDXmPAUXEBspMa1tHtHcW8h4DiogNAMmJDQDJiQ0AyYkNAMmJDQDJiQ0AyYkNAMmJDQDJiQ0AyYkNAMmJDQDJiQ0AyYkNAMmJDQDJiQ0AyYkNAMmJDQDJiQ0AyYkNAMmJDQDJiQ0AyYkNAMmJDQDJiQ0AyYkNAMmJDZSZrW0deY8A+xEbKCMt29pj/rLmqKupznsUKCI2UEZa2zqivbMQP7z4lLxHgSJiA2VodH1t3iNAEbEBIDmxASA5sQEgObEBIDmxASA5sQEgObEBIDmxgQpiKRvyIjZQARrra6OupjrmL2uOlm3teY9DBRIbqAATRtXFkrlTo72zEK22bsiB2ECFGGMJG3IkNgAkJzYAJCc2ACQnNgAkJzYAJCc2ACQnNgAkJzYAJCc2ACQnNgAkJzYAJCc2ACQnNgAkJzZQRlwcjYFKbKBMtGxrj/nLmqOupjoah7ucAAPLkLwHAEqjta0j2jsLsfSz02P8qLq8x4EitmygzLhIGgOR2ACQnNgAkJzYAJCc2ACQnNgAkJzYAJCc2ACQnNgAkJzYQIWxfhp5EBuoEI31tVFXUx3zlzVHy7b2vMehwogNVIgJo+piydyp0d5ZiFZbN/QzsYEKYt008iI2ACQnNgAkJzYAJCc2ACQnNgAkJzYAJCc2ACQnNgAkJzYAJCc2ACQnNgAkJzZQJlw6gIFMbKAMtGxrj/nLmqOupjoaLbbJACQ2UAZa2zqivbMQS+ZOjQmj6vIeB/YjNlBGXEKAgUpsAEhObKACOZmA/iY2UEEa62ujrqY65i9rjpZt7XmPQwURG6ggE0bVxZK5U6O9sxCttm7oR2IDFcZJBORBbABITmwASE5sAEhObABITmwASE5sAEhObABITmygDFh+hoFObGCQcy0bBoMheQ8A9M3ea9ks/ex017JhwLJlA2Wip8vQ2PVGfxIbqDBWfiYPYgMVxsrP5EFsoAJZ+Zn+JjYAJCc2ACQnNgAkJzYAJCc2ACQnNjDI+XAmg4HYwCDW13XRhIr+IjYwiO1dF23J3Kk9WhfNKgL0N7GBQWzvlklPP6RpFQH6m9jAINXXXWh7A2VXGv1BbGCQ+vvmXb3ahbbXvrvSNrZsTzAhvEFsYBD6fy/t6N6qOabp0F69xoRRdXHv/BkREXHRkjWx+tlXYvOOPaUcE7pVZVmW5T0EAOXNlg0AyYkNAMmJDQDJiQ0AyYkNAMkNyXsAqHRZlsXOnTvzHgP6pKGhIaqqqt72+2IDOduyZUs0NTXlPQb0yfbt22PEiBFv+32xgZzV1r6+bMwLL7xwwP+zDlY7duyIiRMn+v0GqYP9/RoaGg74OmIDOdu762HEiBFl+ZfVXn6/wa2vv58TBABITmwASE5sIGdDhw6NRYsWxdChQ/MeJQm/3+BWqt/PQpwAJGfLBoDkxAaA5MQGgOTEBoDkxAZydOONN8ZRRx0Vw4YNi9NPPz3WrVuX90glcc0118Rpp50WDQ0N0dTUFBdeeGH89a9/zXusZBYvXhxVVVVx+eWX5z1KybS0tMQll1wSY8aMibq6upg8eXI88cQTvX49sYGc3HPPPXHFFVfEokWLYv369XHyySfHOeecE5s3b857tD5bvXp1LFy4MNauXRuPPPJIdHZ2xtlnnx1tbW15j1Zyf/7zn+Pmm2+Ok046Ke9RSqa1tTVmzZoVNTU18bvf/S6eeeaZ+P73vx+NjY29fk2nPkNOTj/99DjttNPixz/+cUREdHV1xcSJE+NLX/pSXHnllTlPV1qvvPJKNDU1xerVq+ODH/xg3uOUzK5du2LKlCnxk5/8JL797W/HKaecEtdff33eY/XZlVdeGY8//ng8+uijJXtNWzaQg46Ojmhubo7Zs2d3P3bIIYfE7NmzY82aNTlOlsb27dsjImL06NE5T1JaCxcujPPPP7/of8dy8Otf/zqmTZsWF110UTQ1NcWpp54at956a59eU2wgB1u2bIlCoRDjxo0renzcuHHx8ssv5zRVGl1dXXH55ZfHrFmz4sQTT8x7nJJZvnx5rF+/Pq655pq8Rym5f/7zn3HTTTfFscceGw899FAsWLAgvvzlL8fSpUt7/ZpWfQaSWrhwYWzcuDEee+yxvEcpmRdeeCEuu+yyeOSRR2LYsGF5j1NyXV1dMW3atLj66qsjIuLUU0+NjRs3xpIlS2LevHm9ek1bNpCDsWPHRnV1dWzatKno8U2bNsXhhx+e01Sld+mll8ZvfvObWLlyZbzrXe/Ke5ySaW5ujs2bN8eUKVNiyJAhMWTIkFi9enX86Ec/iiFDhkShUMh7xD454ogj4oQTTih67Pjjj49//etfvX5NsYEc1NbWxtSpU2PFihXdj3V1dcWKFStixowZOU5WGlmWxaWXXhr33Xdf/OEPf4ijjz4675FK6qyzzoqnnnoqNmzY0H2bNm1afOpTn4oNGzZEdXV13iP2yaxZs/Y7Vf3ZZ5+NSZMm9fo17UaDnFxxxRUxb968mDZtWkyfPj2uv/76aGtri8985jN5j9ZnCxcujJ///Odx//33R0NDQ/dxqJEjR0ZdXV3O0/VdQ0PDfsef6uvrY8yYMWVxXOorX/lKzJw5M66++ur4xCc+EevWrYtbbrklbrnllt6/aAbk5oYbbsiOPPLIrLa2Nps+fXq2du3avEcqiYh4y9vtt9+e92jJnHHGGdlll12W9xgl88ADD2QnnnhiNnTo0Oy9731vdsstt/Tp9XzOBoDkHLMBIDmxASA5sQEgObEBIDmxASA5sQEgObEBIDmxASA5sQHKVpZlcd1118XRRx8dw4cPjwsvvLD72jr0L7EBytbXvva1uOmmm2Lp0qXx6KOPRnNzc3zjG9/Ie6yKZLkaoCz96U9/ihkzZsQTTzwRU6ZMiYiIb33rW3HXXXftt6Ix6dmyAcrStddeG2eddVZ3aCJevxLqli1bcpyqcokNUHZee+21+O1vfxsf+9jHih7fs2dPjBw5MqepKpvdaEDZWbNmTcycOTOGDRtWdCGzzs7O+NCHPhQPPvhgjtNVJhdPA8rOs88+G/X19bFhw4aix88///yYNWtWPkNVOLEBys6OHTti7Nixccwxx3Q/9vzzz8ff/va3+PjHP57jZJXLMRug7IwdOza2b98e+x4l+M53vhPnnXdenHDCCTlOVrls2QBl58Mf/nDs2bMnFi9eHHPmzIm77rorHnjggVi3bl3eo1UsWzZA2Rk3blzccccdcdNNN8X73ve+WLt2bTz22GMxceLEvEerWM5GAyA5WzYAJCc2ACQnNgAkJzYAJCc2ACQnNgAkJzYAJCc2ACQnNgAkJzYAJCc2ACQnNgAk9/8BCNjri/asdKIAAAAASUVORK5CYII=", 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" ] @@ -428,7 +430,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.18" + "version": "3.11.8" } }, "nbformat": 4, diff --git a/tutorials/07_conditional_distributions.ipynb b/tutorials/07_conditional_distributions.ipynb index a0474043e..f3fbb570d 100644 --- a/tutorials/07_conditional_distributions.ipynb +++ b/tutorials/07_conditional_distributions.ipynb @@ -4,7 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Analysing variability and compensation mechanisms with conditional distributions\n", + "# Analysing variability and compensation mechansims with conditional distributions\n", "\n", "A central advantage of `sbi` over parameter search methods such as genetic algorithms is that the posterior captures **all** models that can reproduce experimental data. This allows us to analyse whether parameters can be variable or have to be narrowly tuned, and to analyse compensation mechanisms between different parameters. See also [Marder and Taylor, 2011](https://www.nature.com/articles/nn.2735?page=2) for further motivation to identify all models that capture experimental data.\n", "\n", @@ -249,25669 +249,25736 @@ "data": { "text/html": [ "" @@ -25950,7 +26017,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -25993,7 +26060,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/opt/homebrew/Caskroom/miniforge/base/envs/sbi_env/lib/python3.9/site-packages/torch/functional.py:507: UserWarning: torch.meshgrid: in an upcoming release, it will be required to pass the indexing argument. (Triggered internally at /Users/runner/work/pytorch/pytorch/pytorch/aten/src/ATen/native/TensorShape.cpp:3550.)\n", + "c:\\Users\\zina\\anaconda3\\envs\\sbi_env\\Lib\\site-packages\\torch\\functional.py:507: UserWarning: torch.meshgrid: in an upcoming release, it will be required to pass the indexing argument. (Triggered internally at ..\\aten\\src\\ATen\\native\\TensorShape.cpp:3550.)\n", " return _VF.meshgrid(tensors, **kwargs) # type: ignore[attr-defined]\n" ] }, @@ -26050,7 +26117,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "c0ad95fafdc94fdf801b5e34e6059054", + "model_id": "ab412510206549e8b700ba48cceabf52", "version_major": 2, "version_minor": 0 }, @@ -26065,18 +26132,18 @@ "name": "stdout", "output_type": "stream", "text": [ - " Neural network successfully converged after 118 epochs." + " Neural network successfully converged after 65 epochs." ] } ], "source": [ "import torch\n", "\n", + "from sbi.utils.user_input_checks import process_prior, process_simulator\n", "from sbi.inference import (\n", " SNPE,\n", " MCMCPosterior,\n", " posterior_estimator_based_potential,\n", - " prepare_for_sbi,\n", " simulate_for_sbi,\n", ")\n", "from sbi.utils import BoxUniform\n", @@ -26088,8 +26155,8 @@ "def linear_gaussian(theta):\n", " return theta + 1.0 + torch.randn_like(theta) * 0.1\n", "\n", - "\n", - "simulator, prior = prepare_for_sbi(linear_gaussian, prior)\n", + "prior, num_parameters, prior_returns_numpy = process_prior(prior)\n", + "simulator = process_simulator(linear_gaussian, prior, prior_returns_numpy)\n", "\n", "inference = SNPE()\n", "theta, x = simulate_for_sbi(simulator, prior, 1000)\n", @@ -26109,10 +26176,8 @@ "metadata": {}, "outputs": [], "source": [ - "x_o=torch.ones(4)\n", - "\n", "potential_fn, theta_transform = posterior_estimator_based_potential(\n", - " posterior_estimator, prior=prior, x_o=x_o\n", + " posterior_estimator, prior=prior, x_o=torch.ones(4)\n", ")" ] }, @@ -26120,7 +26185,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Now we want to build the conditional potential (please read throught the [sampler interface tutorial](https://sbi-dev.github.io/sbi/tutorial/11_sampler_interface/) for an explanation of potential functions). For this, we have to pass a `condition`. In our case, we want to condition the forth parameter on $\\theta_4=0.2$. Regardless of how many parameters one wants to condition on, in `sbi`, one has to pass a `condition` value for all parameters. The first three values will simply be ignored. We can tell the algorithm which parameters should be kept fixed and which ones should be sampled with the argument `dims_to_sample`.\n" + "Now we want to build the conditional potential (please read throught the [sampler interface tutorial](https://www.mackelab.org/sbi/tutorial/11_sampler_interface/) for an explanation of potential functions). For this, we have to pass a `condition`. In our case, we want to condition the forth parameter on $\\theta_4=0.2$. Regardless of how many parameters one wants to condition on, in `sbi`, one has to pass a `condition` value for all parameters. The first three values will simply be ignored. We can tell the algorithm which parameters should be kept fixed and which ones should be sampled with the argument `dims_to_sample`.\n" ] }, { @@ -26155,7 +26220,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "4b79c06818a940b8a243afd702eb378d", + "model_id": "3778e8f765ac46f19020a20bd086fce5", "version_major": 2, "version_minor": 0 }, @@ -26216,7 +26281,20 @@ "outputs": [ { "data": { - "image/png": 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", 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4ceJEHy4GAPiGWBzEiouLuy/ncrnkbV1dXQM7DAAYMcRiP7vkkkuiuLg43nrrre7bmpub44MPPshwFQBA73jNYj8rLy+Pe+65J9atWxfjx4+P6urqeOihh2LUqIHp9E8++SS++OKL+OSTT6KzszMaGhoiImLGjBlRXl4+IBtgKGlqaYvmfHuMKyuJmsrSrOcAZE4sDoBNmzZFa2trLF68OCoqKmLt2rVx/PjxAfnef/VXfxXPPPNM9/U//uM/joiIPXv2xPz58wdkAwwVTS1tsWBzXbR1dEZpcVG8svYGwQiMeLlCoVDIegTAYPB+0/G45df/LVb/6Yz49WuNsXv1dXFFzQVZz2KA+Q0uDFd+gwtAH3E0EeAbYhEAgCSxCABAklgEACBJLAIAkCQWAQBIEosAACSJRQAAksQiAABJYhEAgCSxCABAklgEACBJLAIAkCQWAQBIEosAACSJRQAAkkZnPQBgsGo82hoREePKSqKmsjTjNQDZEIsA3zGurCRKi4tizY6GiIgoLS6KV9beIBiBEUksAnxHTWVpvLL2hmjOt0fj0dZYs6MhmvPtYhEYkcQiwGnUVJaKQ4DwBhcAAM5ALAIAkCQWAQBIEosAACSJRQAAksQiAABJYhEAgCSxCABAklgEACBJLAIAkCQWAQBIEosAACSJRQAAksQiAABJYhEAgCSxCABAklgEACBJLAIAkCQWAQBIEosAACSJRQAAksQiAABJYhEAgCSxCABAklgEACBJLAIAkCQWAQBIEosAACSJRQAAksQiAABJYhEAgCSxCABAklgEACBJLAIAkCQWAQBIEosAACSJRQAAksQiAABJYhEAgCSxCABAklgEACBJLAIAkCQWAQBIEosAACSJRQAAksQiAABJYhEAgCSxCABAklgEACBJLAIAkCQWAQBIGp31AABg5Bh15WXdl7v+6Xc97hs9eVKP618fPjIgmzgzRxYBAEgSiwAAJIlFAACSvGYRAMjEt1+/GBHx9Rlew+j1i9lxZBEAgCSxCABAktPQAEC/ab2ttsf11f/h75Nf+59/8W973vDau/0xiXMkFoERq6mlLZrz7RERMa6sJOM1AIOTWARGpKaWtliwuS7aOjojIqK0uCi2/K+zsx0FMAiJRWBEas63R1tHZ2y5Y3ZERKzZ0dB9lBGAb4hFYESbUV2e9QQY1sYeON7j+paDN3VffnP2f+1x36YZPV8OMvl/+OicwcC7oQEASBKLAAAkiUUAAJK8ZhEA6DcnLr2gx/Xft/xz9+Wb/rd7etxXGT3fZNZVPe6bK16zmBlHFgEASBKLAAAkOQ0NAPSb8t++1eN65RvffBxOy7+adsav7eq3VZwLRxYBAEgSiwAAJIlFAACSvGYRABgw3/61feW/9XE4Q4EjiwAAJIlFAACSxCIAAEliEQCAJLEIAECSWAQAIEksAgCQJBYBAEgSiwAAJIlFAACSxCIAAEliEQCAJLEIAECSWAQAIEksAgCQJBYBAEgSiwB/0NTSlryv8WjrGe8HGK7EIjDijSsridLiovj1a41RWlwU48pKvnffmh0NsWBznWAERpzRWQ8AyFpNZWm8svaGaM63x7iykqipLP3effs/+iLW7GiI5nx7j/sBhjuxCBD/EoWpCKypLI3m6vIBXgQwODgNDQBAklgEACBJLAIAkCQWAQBIEosAACSJRQAAksQiAABJYhEAgCSxCABAklgEACBJLAIAkCQWAQBIEosAACSJRQAAksQiAABJYhEYcZpa2qLxaGvWMwCGhNFZDwAYSE0tbbFgc120dXRGaXFRjCsryXoSwKAmFoERpTnfHm0dnbHljtkxZ3pV1FSWZj0JYFBzGhoYkWZUlwtFgF4QiwAAJIlFAACSxCIAAEliEQCAJLEIAECSWAQAIEksAgCQJBYBAEgSiwAAJIlFAACSxCIAAEliEQCAJLEIAECSWAQAIEksAgCQJBYBAEgSiwAAJIlFAACSxCIAAEliEQCAJLEIAECSWAQAIGl01gMAhpqmlrZozrdHRMS4spKoqSzNeBFA/xGLAOegqaUtbvtP+6KtozMiIkqLi+KVtTcIRmDYchoa4Bw059ujraMzttwxO7bcMTvaOjq7jzICDEeOLAL8ADOqy7OeADAgHFkEACBJLAIAkCQWAc5BU0tb1hMABpRYBOiFcWUlUVpcFL9+rTFKi4tiXFlJ1pMABoQ3uAD0Qk1labyy9oZozrd3f7aid0EDI4FYBOilmspSn6cIjDhOQwMAkCQWAQBIEosAACSJRQAAksQiAABJYhEAgCSxCABAklgEACBJLAIAkCQWAQBIyhUKhULWIwAAGJwcWQQAIEksAgCQJBYBAEgSiwAAJIlFAACSRmc9AOidQqEQX375ZdYzoF9UVFRELpfLegZwGmIRhohjx45FdXV11jOgXxw9ejQmTpyY9QzgNMQiDBElJSUREfHpp5/G2LFjM17TOydOnIipU6cOqc0RQ3P3UNwc8c3uU3+/gcFHLMIQceoU3dixY4dUDEQMzc0RQ3P3UNwcEU5BwyDmDS4AACSJRQAAksQiDBFjxoyJjRs3xpgxY7Ke0mtDcXPE0Nw9FDdHDN3dMJLkCoVCIesRAAAMTo4sAgCQJBYBAEgSiwAAJIlFAACSxCIMch0dHbF+/fqYOXNmlJWVxZQpU2LZsmXx2WefZT3trHbu3BkLFy6M8ePHRy6Xi4aGhqwnndW2bdti2rRpcd5550VtbW28/fbbWU86q9dffz0WL14cU6ZMiVwuFy+++GLWk87q0UcfjTlz5kRFRUVUV1fH0qVL48CBA1nPAk5DLMIg99VXX0V9fX1s2LAh6uvrY+fOnXHgwIFYsmRJ1tPOKp/Px3XXXRe/+tWvsp7SKzt27Ij7778/Nm7cGPX19TFr1qxYtGhRHD16NOtpZ5TP52PWrFmxbdu2rKf0Wl1dXaxcuTLefPPNePnll6OjoyMWLlwY+Xw+62nAd/joHBiC9u/fH3Pnzo1Dhw7FxRdfnPWcs/r4449j+vTp8d5778Xs2bOznpNUW1sbc+bMia1bt0ZERFdXV0ydOjVWr14dDzzwQMbreieXy8ULL7wQS5cuzXrKOfn888+juro66urq4vrrr896DvAtjizCEHT8+PHI5XJRWVmZ9ZRho729Pd59991YsGBB922jRo2KBQsWxL59+zJcNjIcP348IiKqqqoyXgJ8l1iEIebkyZOxfv36uPPOO2Ps2LFZzxk2jh07Fp2dnTFp0qQet0+aNCkOHz6c0aqRoaurK9asWRPXXnttXHHFFVnPAb5DLMIg8+yzz0Z5eXn3nzfeeKP7vo6Ojrj99tujUCjEE088keHK7zvTbjiTlStXxvvvvx/PP/981lOA0xid9QCgpyVLlkRtbW339Zqamoj4JhQPHToUr7322qA7qpjaPVRMmDAhioqK4siRIz1uP3LkSEyePDmjVcPfqlWrYvfu3fH666/HRRddlPUc4DTEIgwyFRUVUVFR0eO2U6H44Ycfxp49e2L8+PEZrUs73e6hpKSkJK666qp49dVXu98c0tXVFa+++mqsWrUq23HDUKFQiNWrV8cLL7wQe/fujenTp2c9CUgQizDIdXR0xK233hr19fWxe/fu6Ozs7H4NXVVVVZSUlGS8MO2LL76ITz75pPszIU99jt7kyZMH5dG6+++/P5YvXx5XX311zJ07N7Zs2RL5fD5WrFiR9bQzam1tjcbGxu7rH330UTQ0NERVVdWgfbf8ypUr47nnnotdu3ZFRUVF99/pCy64IEpLSzNeB3ybj86BQe7Ux86czp49e2L+/PkDO+gcbN++/bShtXHjxnj44YcHflAvbN26NTZt2hSHDx+O2bNnx+OPP97j9PpgtHfv3rjxxhu/d/vy5ctj+/btAz+oF3K53Glvf/rpp+Puu+8e2DHAGYlFAACSvBsaAIAksQgAQJJYBAAgSSwCAJAkFgEASBKLAAAkiUUAAJLEIjCszZ8/P9asWdN9fdq0abFly5bM9gAMNWIRGFH2798fP//5z/v0OT/++OO45557Yvr06VFaWhqXXHJJbNy4Mdrb2/v0+wBkwe+GBkaUiRMn9vlz/u53v4uurq548sknY8aMGfH+++/Hz372s8jn8/HYY4/1+fcDGEiOLALDRj6fj2XLlkV5eXlceOGFsXnz5u99zXdPQ+dyuXjyySfjlltuifPPPz8uv/zy2LdvXzQ2Nsb8+fOjrKws5s2bFwcPHkx+35tvvjmefvrpWLhwYfzRH/1RLFmyJP7iL/4idu7c2R8/JsCAEovAsLFu3bqoq6uLXbt2xUsvvRR79+6N+vr6sz7ukUceiWXLlkVDQ0Ncdtllcdddd8W9994bDz74YLzzzjtRKBRi1apV57Tl+PHjUVVV9UN/FIBBw2loYFhobW2Np556Kn7zm9/ETTfdFBERzzzzTFx00UVnfeyKFSvi9ttvj4iI9evXxzXXXBMbNmyIRYsWRUTEfffdFytWrOj1lsbGxvj1r3/tFDQwLDiyCAwLBw8ejPb29qitre2+raqqKi699NKzPvbKK6/svjxp0qSIiJg5c2aP206ePBknTpw463M1NTXFzTffHLfddlv87Gc/O5cfAWBQEovAiFdcXNx9OZfLJW/r6uo64/N89tlnceONN8a8efPib//2b/thKcDAE4vAsHDJJZdEcXFxvPXWW923NTc3xwcffDAg37+pqSnmz58fV111VTz99NMxapT/XoHhwWsWgWGhvLw87rnnnli3bl2MHz8+qqur46GHHhqQaDsVij/5yU/isccei88//7z7vsmTJ/f794ehqqmlLZrz//J5pOPKSqKmsjTjRZyOWASGjU2bNkVra2ssXrw4KioqYu3atXH8+PF+/74vv/xyNDY2RmNj4/feUFMoFPr9+8NQ1NTSFgs210VbR2dERJQWF8Ura28QjINQruB/MgBggL3fdDxu+fV/iy13zI6IiDU7GmL36uviipoLsh3G9ziyCABkZkZ1edYTOAuvwAYAIEksAgCQJBYBAEgSiwAAJIlFAACSxCIAAEliEQCAJLEIAECSWAQAIEksAgCQJBYBAEgSiwAAJIlFAACSxCIAAEliEQCAJLEIAECSWAQAIEksAgCQJBYBAEgSiwAAJIlFAACSxCIAAEliEQCAJLEIAECSWAQAIEksAgCQJBYBAEgSiwAAJIlFAACSxCIAAEliEQCAJLEIAAyoppa2aDzamvUMeml01gMAgJGjqaUtFmyui7aOzigtLopxZSXRnG/PehZnIBYBgAHTnG+Pto7O2HLH7JgzvSpqKkvF4iDnNDQAMOBmVJdHTWVp1jPoBbEIAECSWAQAIEksAgCQJBYBAEgSiwAAJIlFAACSxCIAAEliEQCAJLEIAECSWAQAIEksAgCQJBYBAEgSiwAAJIlFAACSxCIAAEliEQCAJLEIAECSWAQAIEksAgCQJBYBAEgSiwAAJIlFAACSxCIAAEliEQCAJLEIAECSWAQAIEksAgCQJBYBAEgSiwAAJIlFAACSxCIAAEliEQCAJLEIAECSWAQAIEksAgCQJBYBAEgSiwAAJIlFAACSxCIAAEliEQCAJLEIAAwKjUdbo6mlLesZfIdYBAAyNa6sJEqLi2LNjoZYsLlOMA4yYhEAyFRNZWm8svaG2HLH7Gjr6IzmfHvWk/iW0VkPAACoqSyN5uryrGdwGo4sAgCQJBYBAEgSiwAAJIlFAACSxCIAAEliEQCAJLEIAECSWAQAIEksAgCQJBYBAEgSiwAAJIlFAACSxCIAAEliEQCAJLEIAAyY3+fbs57AORKLAMCAaGppi3//d+9GaXFRjCsryXoOvTQ66wEAwMjQnG+Pto7OeObfzY2aytKs59BLjiwCAANqvKOKQ4pYBAAgSSwCAJAkFgEASBKLAAAkiUUAAJLEIgAASWIRAIAksQgAQJJYBAAgSSwCAJAkFgEASBKLAAAkiUUAAJLEIgAASaOzHgAA8G1NLW0RETGurCRqKkszXoNYBAAGlXv/7t2IiCgtLopX1t4gGDPmNDQAMOis/tMZ0dbRGc359qynjHhiEQAYdBxNHDzEIgAASWIRAIAksQgAQJJYBAAgSSwCAJAkFgEASBKLAAAkiUUAAJLEIgAASWIRAIAksQgAQJJYBAAgSSwCAJAkFgEASBqd9QAAYHhrammL5nx7NB5tzXoKP4BYBAD6TVNLWyzYXBdtHZ0REVFaXBTjykoyXsW5EIsAQL9pzrdHW0dnbLljdsyoLo9xZSVRU1ma9SzOgVgEAPrdjOryuKLmgqxn8AN4gwsAAEliEQCAJLEIAECSWAQAIEksAgCQJBYBAEgSiwAAJIlFAACSxCIAAEliEQCAJLEIAECSWAQAIEksAgCQJBYBAEganfUAAICIiHFlJVFaXNR9mcFBLAIAg0JNZWm8svaGiIhozrdnvIZTxCIAMGjUVJZGhFgcTLxmEQCAJLEIAECSWAQAIEksAgCQJBYBAEjybmgAYNBqPNoaEf/yuYun3inNwBKLAMCgc+oDutfsaIiIiNLionhl7Q2CMQNiEQAYdE59QHdzvj0aj7bGmh0N0ZxvF4sZEIsAwKBUU1kqDgcBb3ABACBJLAIAkCQWAQBIEosAACSJRQAAksQiAABJYhEAgCSxCABAklgEACBJLAIAkCQWAQBIEosAACSJRQAAksQiAABJYhEAgKRcoVAoZD0CAIDByZFFAACSxCIAAEliEQCAJLEIAECSWAQAIGl01gMAYLAoFArx5ZdfZj0D+k1FRUXkcrlzeoxYBIA/OHbsWFRXV2c9A/rN0aNHY+LEief0GLEIAH9QUlISERGffvppjB07NuM1vXfixImYOnWq3QNgKG6O+Gb3qb/j50IsAsAfnDo9N3bs2CEVAqfYPXCG4uaIOOdT0BHe4AIAwBmIRQAAksQiAPzBmDFjYuPGjTFmzJisp5wTuwfOUNwc8eN25wqFQqEfNgEAMAw4sggAQJJYBAAgSSwCAJAkFgEASBKLABARHR0dsX79+pg5c2aUlZXFlClTYtmyZfHZZ59lPe2sdu7cGQsXLozx48dHLpeLhoaGrCed1bZt22LatGlx3nnnRW1tbbz99ttZTzqj119/PRYvXhxTpkyJXC4XL774YtaTzurRRx+NOXPmREVFRVRXV8fSpUvjwIED5/w8YhEAIuKrr76K+vr62LBhQ9TX18fOnTvjwIEDsWTJkqynnVU+n4/rrrsufvWrX2U9pVd27NgR999/f2zcuDHq6+tj1qxZsWjRojh69GjW05Ly+XzMmjUrtm3blvWUXqurq4uVK1fGm2++GS+//HJ0dHTEwoULI5/Pn9Pz+OgcAEjYv39/zJ07Nw4dOhQXX3xx1nPO6uOPP47p06fHe++9F7Nnz856TlJtbW3MmTMntm7dGhERXV1dMXXq1Fi9enU88MADGa87u1wuFy+88EIsXbo06ynn5PPPP4/q6uqoq6uL66+/vtePc2QRABKOHz8euVwuKisrs54ybLS3t8e7774bCxYs6L5t1KhRsWDBgti3b1+Gy4a/48ePR0REVVXVOT1OLALAaZw8eTLWr18fd955Z4wdOzbrOcPGsWPHorOzMyZNmtTj9kmTJsXhw4czWjX8dXV1xZo1a+Laa6+NK6644pweKxYBGJGeffbZKC8v7/7zxhtvdN/X0dERt99+exQKhXjiiScyXPl9Z9oNKStXroz3338/nn/++XN+7Oh+2AMAg96SJUuitra2+3pNTU1EfBOKhw4ditdee23QHVVM7R4qJkyYEEVFRXHkyJEetx85ciQmT56c0arhbdWqVbF79+54/fXX46KLLjrnx4tFAEakioqKqKio6HHbqVD88MMPY8+ePTF+/PiM1qWdbvdQUlJSEldddVW8+uqr3W8Q6erqildffTVWrVqV7bhhplAoxOrVq+OFF16IvXv3xvTp03/Q84hFAIh/CcVbb7016uvrY/fu3dHZ2dn9GrqqqqooKSnJeGHaF198EZ988kn3Z0Ke+iy9yZMnD8qjdffff38sX748rr766pg7d25s2bIl8vl8rFixIutpSa2trdHY2Nh9/aOPPoqGhoaoqqoatO+UX7lyZTz33HOxa9euqKio6P77fMEFF0RpaWmvn8dH5wBAfPOxM6ezZ8+emD9//sAOOgfbt28/bWht3LgxHn744YEf1Atbt26NTZs2xeHDh2P27Nnx+OOP9zi9Ptjs3bs3brzxxu/dvnz58ti+ffvAD+qFXC532tuffvrpuPvuu3v/PGIRAIAU74YGACBJLAIAkCQWAQBIEosAACSJRQAAksQiAABJYhEAgCSxCAD8aPPnz481a9Z0X582bVps2bIlsz30HbEIAPS5/fv3x89//vM+f94lS5bExRdfHOedd15ceOGF8ed//ufdv+aQ/iEWAYA+N3HixDj//PP7/HlvvPHG+Pu///s4cOBA/MM//EMcPHgwbr311j7/PnxDLAIA5ySfz8eyZcuivLw8Lrzwwti8efP3vua7p6FzuVw8+eSTccstt8T5558fl19+eezbty8aGxtj/vz5UVZWFvPmzYuDBw+e8Xv/8pe/jD/5kz+Jn/zkJzFv3rx44IEH4s0334yOjo6+/jH5A7EIAJyTdevWRV1dXezatSteeuml2Lt3b9TX15/1cY888kgsW7YsGhoa4rLLLou77ror7r333njwwQfjnXfeiUKhEKtWrer1ji+++CKeffbZmDdvXhQXF/+YH4kzEIsAQK+1trbGU089FY899ljcdNNNMXPmzHjmmWfi66+/PutjV6xYEbfffnv89Kc/jfXr18fHH38cf/ZnfxaLFi2Kyy+/PO67777Yu3fvWZ9n/fr1UVZWFuPHj49PPvkkdu3a1Qc/GSliEQDotYMHD0Z7e3vU1tZ231ZVVRWXXnrpWR975ZVXdl+eNGlSRETMnDmzx20nT56MEydOnPF51q1bF++991689NJLUVRUFMuWLYtCoXCuPwq9NDrrAQDAyPDtU8W5XC55W1dX1xmfZ8KECTFhwoT46U9/GpdffnlMnTo13nzzzbjmmmv6YTWOLAIAvXbJJZdEcXFxvPXWW923NTc3xwcffJDJnlNh+c///M+ZfP+RwJFFAKDXysvL45577ol169bF+PHjo7q6Oh566KEYNar/jz+99dZbsX///rjuuuti3LhxcfDgwdiwYUNccskljir2I7EIAJyTTZs2RWtrayxevDgqKipi7dq1cfz48X7/vueff37s3LkzNm7cGPl8Pi688MK4+eab4y//8i9jzJgx/f79R6pcwStCAQBI8JpFAACSxCIAAEliEQCAJLEIAECSWAQAIEksAgCQJBYBAEgSiwAAJIlFAACSxCIAAEliEQCAJLEIAEDS/w99oiSs6SsOwwAAAABJRU5ErkJggg==", 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" ] @@ -26227,7 +26305,7 @@ ], "source": [ "pairplot(cond_samples, limits=[[-2, 2], [-2, 2], [-2, 2], [-2, 2]], figsize=(8, 8),\n", - " hist_diag=dict(bins=\"auto\"));" + " hist_diag=dict(bins=\"auto\"))" ] } ], @@ -26247,7 +26325,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.18" + "version": "3.11.8" } }, "nbformat": 4, diff --git a/tutorials/14_iid_data_and_permutation_invariant_embeddings.ipynb b/tutorials/14_iid_data_and_permutation_invariant_embeddings.ipynb index 56377ceba..fab0f7cae 100644 --- a/tutorials/14_iid_data_and_permutation_invariant_embeddings.ipynb +++ b/tutorials/14_iid_data_and_permutation_invariant_embeddings.ipynb @@ -51,7 +51,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -61,7 +61,8 @@ "from torch.distributions import MultivariateNormal\n", "\n", "from sbi.analysis import pairplot\n", - "from sbi.inference import SNLE, SNPE, prepare_for_sbi, simulate_for_sbi\n", + "from sbi.utils.user_input_checks import process_prior, process_simulator\n", + "from sbi.inference import SNLE, SNPE, simulate_for_sbi\n", "from sbi.simulators.linear_gaussian import (\n", " linear_gaussian,\n", " true_posterior_linear_gaussian_mvn_prior,\n", @@ -74,7 +75,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -91,10 +92,10 @@ "prior = MultivariateNormal(loc=prior_mean, covariance_matrix=prior_cov)\n", "\n", "# Define Gaussian simulator\n", - "simulator, prior = prepare_for_sbi(\n", - " lambda theta: linear_gaussian(theta, likelihood_shift, likelihood_cov), prior\n", - ")\n", - "\n", + "prior, num_parameters, prior_returns_numpy = process_prior(prior)\n", + "simulator = process_simulator(\n", + " lambda theta: linear_gaussian(theta, likelihood_shift, likelihood_cov),\n", + " prior, prior_returns_numpy)\n", "\n", "# Use built-in function to obtain ground-truth posterior given x_o\n", "def get_true_posterior_samples(x_o, num_samples=1):\n", @@ -112,7 +113,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -128,27 +129,9 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "WARNING:root:upper is deprecated, use offdiag instead.\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Plot them in one pairplot as contours (obtained via KDE on the samples).\n", "fig, ax = pairplot(\n", @@ -189,31 +172,9 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "b5c1495392ff4db78e6ff0b86149eea4", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "Running 10000 simulations.: 0%| | 0/10000 [00:00" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Plot them in one pairplot as contours (obtained via KDE on the samples).\n", "fig, ax = pairplot(\n", @@ -404,20 +255,9 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "c2st score for num_trials=1: 0.50\n", - "c2st score for num_trials=5: 0.49\n", - "c2st score for num_trials=15: 0.52\n", - "c2st score for num_trials=20: 0.51\n" - ] - } - ], + "outputs": [], "source": [ "cs = [\n", " c2st(torch.from_numpy(s1), torch.from_numpy(s2))\n", @@ -449,7 +289,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -483,7 +323,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -524,24 +364,9 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "WARNING:root:Found 95000 NaN simulations and 0 Inf simulations. They are not excluded from training due to `exclude_invalid_x=False`.Training will likely fail, we strongly recommend `exclude_invalid_x=True` for Single-round NPE.\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " Neural network successfully converged after 165 epochs." - ] - } - ], + "outputs": [], "source": [ "inference = SNPE(prior, density_estimator=density_estimator)\n", "# NOTE: we don't exclude invalid x because we used NaNs for the missing trials.\n", @@ -570,78 +395,11 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "metadata": { "scrolled": false }, - "outputs": [ - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "84881e2ac4c84f1199d33c30c63770da", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "Drawing 5000 posterior samples: 0%| | 0/5000 [00:00" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "num_trials = [1, 5, 15, 20]\n", "xos = [theta_o.repeat(nt, 1) for nt in num_trials]\n", @@ -770,83 +454,9 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "9a80bd91a32d4f7d83a1e868afde90d4", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "Drawing 5000 posterior samples: 0%| | 0/5000 [00:00" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# We can easily obtain posteriors for many different x_os, instantly, because\n", "# NPE is fully amortized:\n", @@ -904,7 +514,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.18" + "version": "3.11.8" }, "toc": { "base_numbering": 1,