From 9b061906fe8ef43c1a3bbedd09e70868afb373a1 Mon Sep 17 00:00:00 2001 From: Fabian Heinzer <fabian.heinzer@bluewin.ch> Date: Thu, 26 Jan 2023 20:09:04 +0000 Subject: [PATCH] finished FABIAN script --- fabian/Fabian.ipynb | 98 +++++++++++++++++++++++++++++++++++++++++++-- 1 file changed, 94 insertions(+), 4 deletions(-) diff --git a/fabian/Fabian.ipynb b/fabian/Fabian.ipynb index 0d166ae..ff4ea5f 100644 --- a/fabian/Fabian.ipynb +++ b/fabian/Fabian.ipynb @@ -13,9 +13,6 @@ "execution_count": 24, "id": "1c7000fb-d70a-425b-b584-3ea5a5328c3c", "metadata": { - "jupyter": { - "source_hidden": true - }, "tags": [] }, "outputs": [ @@ -475,10 +472,103 @@ "print(\"out1: \", out1)" ] }, + { + "cell_type": "markdown", + "id": "5386c431-1371-459e-93f2-d9b16e2bac13", + "metadata": {}, + "source": [ + "## Calculate 2D Convolutions" + ] + }, + { + "cell_type": "markdown", + "id": "9ee752e7-76e2-4d31-a337-4fb754a030ef", + "metadata": {}, + "source": [ + "https://www.wolframalpha.com/input/?i=matrix+multiplication+calculator\n", + "\n", + "-> Use TRACE value (calculated by WolframAlpha) as TOP LEFT value of 2D Convolution Matrix\n", + "\n", + "-> Shift Matrix 1 one to the right, calc TRACE again --> SECONDMOST TOP LEFT value" + ] + }, + { + "cell_type": "markdown", + "id": "d7a61003-b2fb-453d-a6fb-682e3913c84a", + "metadata": {}, + "source": [ + "## Association Rules" + ] + }, + { + "attachments": { + "eba63579-c53c-45bc-8e82-6cb03a744856.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "id": "a6658939-49a6-4778-b18b-d98a3f12bf74", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "id": "f1a4b532-1f9e-4a1a-92b6-8a8d0928e0c0", + "metadata": {}, + "source": [ + "- Support(Beer->Diapers) = $\\frac{Beer-AND-Diapers}{Transactions}$ = $\\frac{3}{5}$\n", + "\n", + "- Confidence(Beer->Diapers) = $\\frac{Beer-AND-Diapers}{Beer}$ = $\\frac{3/5}{3/5} = 1$\n", + "\n", + "- Lift(Beer->Diapers) = $\\frac{Beer-AND-Diapers}{Beer/Transactions*Diapers/Transactions}$ = $\\frac{3/5}{(3/5)*(4/5)} = 1.25$" + ] + }, + { + "cell_type": "markdown", + "id": "ac6db2de-cec8-437d-a302-ab31856f84df", + "metadata": {}, + "source": [ + "## Recommender Systems" + ] + }, + { + "attachments": { + "edb3fc75-b89e-4623-8b8b-5b26996c3f3f.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "id": "a20c670d-4f89-489c-8dc0-ba521bc8f430", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "id": "3e4b49c5-d93f-4483-bcc8-1d85a10547cc", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "P: 4.5\n" + ] + } + ], + "source": [ + "P = (0.58*5 + 0*3 + 0.58*4)/(0.58 + 0 + 0.58)\n", + "print(\"P: \", P)" + ] + }, { "cell_type": "code", "execution_count": null, - "id": "e2118cfa-fea2-460c-8bb6-3f980b3fa931", + "id": "746fdf7f-5bbf-4c6f-8278-0af282a3f793", "metadata": {}, "outputs": [], "source": [] -- GitLab