From 96046321be07776205f60f61df1c17971c81b872 Mon Sep 17 00:00:00 2001 From: Gavin Ho <111702279+gavin-ho1@users.noreply.github.com> Date: Fri, 19 Jul 2024 10:46:00 -0700 Subject: [PATCH] fix: demo/bug update fc_dnn_nbody_demo.ipynb (#104) Bugfix for #79 --- demos/fc_dnn_nbody_demo.ipynb | 29 ++++++++++------------------- 1 file changed, 10 insertions(+), 19 deletions(-) diff --git a/demos/fc_dnn_nbody_demo.ipynb b/demos/fc_dnn_nbody_demo.ipynb index 8b9ad4fc..688b8b7f 100644 --- a/demos/fc_dnn_nbody_demo.ipynb +++ b/demos/fc_dnn_nbody_demo.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 7, + "execution_count": 1, "id": "initial_id", "metadata": { "ExecuteTime": { @@ -11,16 +11,7 @@ }, "collapsed": true }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "The autoreload extension is already loaded. To reload it, use:\n", - " %reload_ext autoreload\n" - ] - } - ], + "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2" @@ -28,7 +19,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 2, "id": "2d9072683fef8830", "metadata": { "ExecuteTime": { @@ -40,7 +31,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -65,7 +56,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 4, "id": "c30eb00a358e37ce", "metadata": { "ExecuteTime": { @@ -84,7 +75,7 @@ }, { "data": { - "image/png": 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", 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", 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" ] @@ -98,7 +89,7 @@ "" ] }, - "execution_count": 9, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" } @@ -107,7 +98,7 @@ "from dynadojo.challenges import FixedComplexity\n", "from dynadojo.baselines.dnn import DNN\n", "\n", - "challenge = FixedComplexity(l=4, e=None, t=10, N=[3, 5, 10], reps=3, system_cls=NBodySystem, test_examples=1, test_timesteps=5)\n", + "challenge = FixedComplexity(l=4, e=None, t=10, N=[3, 5, 10], trials=3, system_cls=NBodySystem, test_examples=1, test_timesteps=5)\n", "data = challenge.evaluate(algo_cls=DNN)\n", "challenge.plot(data)" ] @@ -122,13 +113,13 @@ "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", + "pygments_lexer": "ipython3", "version": "3.10.14" } },