From 5dd75bfdf04baf98daae5753d6329cde1df8fbf0 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Alexander=20M=C3=A4rz?= Date: Mon, 28 Aug 2023 10:20:00 +0200 Subject: [PATCH] Update examples --- ..._To_Select_A_Univariate_Distribution.ipynb | 26 +++-------- docs/examples/SplineFlow_Regression.ipynb | 46 +++++++++++-------- 2 files changed, 33 insertions(+), 39 deletions(-) diff --git a/docs/examples/How_To_Select_A_Univariate_Distribution.ipynb b/docs/examples/How_To_Select_A_Univariate_Distribution.ipynb index 430f6b3..773f673 100644 --- a/docs/examples/How_To_Select_A_Univariate_Distribution.ipynb +++ b/docs/examples/How_To_Select_A_Univariate_Distribution.ipynb @@ -20,7 +20,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2023-05-23T07:25:25.674294200Z", @@ -48,7 +48,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2023-05-23T07:25:25.723162900Z", @@ -81,7 +81,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2023-05-23T07:25:31.083598700Z", @@ -98,31 +98,19 @@ "name": "stderr", "output_type": "stream", "text": [ - "Fitting of candidate distributions completed: 100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 8/8 [00:06<00:00, 1.18it/s]\n" + "Fitting of candidate distributions completed: 100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 8/8 [00:12<00:00, 1.58s/it]\n" ] }, { "data": { - "image/png": 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", "text/plain": [ "
" ] }, - "metadata": { - "image/png": { - "height": 500, - "width": 1000 - } - }, + "metadata": {}, "output_type": "display_data" }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n" - ] - }, { "data": { "text/html": [ @@ -211,7 +199,7 @@ "8 27559.623077 Cauchy" ] }, - "execution_count": 4, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } diff --git a/docs/examples/SplineFlow_Regression.ipynb b/docs/examples/SplineFlow_Regression.ipynb index 8c3596d..25b7759 100644 --- a/docs/examples/SplineFlow_Regression.ipynb +++ b/docs/examples/SplineFlow_Regression.ipynb @@ -18,8 +18,26 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Normalizing flows transform a simple distribution into a complex data distribution through a series of invertible transformations. The key steps involved in the operation of normalizing flows are as follows (from left to right):\n", + "Normalizing flows transform a simple distribution into a complex data distribution through a series of invertible transformations. The key steps involved in the operation of normalizing flows are as follows (from left to right):" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "
\n", + "\n", + "
\n", "\n", + "\n", + "
Image source: https://tikz.net/janosh/normalizing-flow.png
\n", + "
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ "- Start with a simple, easy-to-sample distribution, usually a Gaussian, which serves as the \"base\" distribution\n", "- Apply a series of invertible transformations to map the samples from the base distribution to the desired complex data distribution\n", "- Each transformation in the flow must be reversible, meaning it has both a forward pass (sampling from the base distribution to the complex distribution) and an inverse pass (mapping samples from the complex distribution back to the base distribution)\n", @@ -37,7 +55,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2023-06-23T15:25:53.838277800Z", @@ -66,7 +84,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2023-05-18T06:12:13.097935100Z", @@ -98,38 +116,26 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "Fitting of candidate normalizing flows completed: 100%|███████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 14/14 [00:42<00:00, 3.00s/it]\n" + "Fitting of candidate normalizing flows completed: 100%|███████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 14/14 [01:20<00:00, 5.78s/it]\n" ] }, { "data": { - "image/png": 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", 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" ] }, - "metadata": { - "image/png": { - "height": 500, - "width": 1200 - } - }, + "metadata": {}, "output_type": "display_data" }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n" - ] - }, { "data": { "text/html": [ @@ -254,7 +260,7 @@ "14 17737.569055 SplineFlow(count_bins: 2, order: quadratic)" ] }, - "execution_count": 4, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" }