diff --git a/notebooks/stick-probability.ipynb b/notebooks/stick-probability.ipynb index bebc66d..e4904ca 100644 --- a/notebooks/stick-probability.ipynb +++ b/notebooks/stick-probability.ipynb @@ -40,7 +40,7 @@ " return df\n", "\n", "\n", - "def read_all(load_dir: str):\n", + "def read_load_dir(load_dir: str):\n", " paths = glob(f'{load_dir}/*.csv')\n", " return [read_xy(path) for path in paths]\n", "\n", @@ -48,17 +48,17 @@ "# We expect the format of sp data to be:\n", "# ROOT/{probability}/{RUN_ID}.csv\n", "\n", - "def read_sp_dir(load_dir: str):\n", + "def read_sp_load_dir(load_dir: str):\n", " probability = float(Path(load_dir).name)\n", - " return probability, read_all(load_dir)\n", + " return probability, read_load_dir(load_dir)\n", "\n", "\n", "def read_sp_full(root: str):\n", " if not Path(root).exists():\n", " raise Exception(\"Root does not exist\")\n", "\n", - " raw_data = [read_sp_dir(load_dir) for load_dir in glob(f'{root}/*')]\n", - " fd_data = [fd_of_dfs(dfs) for (p, dfs) in raw_data]\n", + " raw_data = [read_sp_load_dir(load_dir) for load_dir in glob(f'{root}/*')]\n", + " fd_data = [fd_stats(dfs) for (p, dfs) in raw_data]\n", " probabilities = [p for (p, dfs) in raw_data]\n", " fd_means, fd_stds = list(zip(*fd_data))\n", " out = pd.DataFrame(zip(probabilities, fd_means, fd_stds), columns=['p', 'fd_mean', 'fd_std'])\n", @@ -88,12 +88,12 @@ "def mean_of_tail(series, tol=0.05):\n", " tail_index = convergent_tail_index(series, tol)\n", " if tail_index is None:\n", - " print(\"Ahh fuck\")\n", + " raise Exception(\"No convergence found.\")\n", "\n", " return np.mean(series[tail_index:])\n", "\n", "\n", - "def fd_of_dfs(dfs):\n", + "def fd_stats(dfs):\n", " fds = [mean_of_tail(df.fd, 0.001) for df in dfs]\n", " fds_clean = [f for f in fds if f < np.inf]\n", " return np.mean(fds_clean), np.std(fds_clean)" @@ -144,20 +144,20 @@ }, { "cell_type": "code", - "execution_count": 124, + "execution_count": 151, "outputs": [ { "data": { - "text/plain": "" + "text/plain": "" }, - "execution_count": 124, + "execution_count": 151, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": "
", - "image/png": 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" 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" }, "metadata": {}, "output_type": "display_data" @@ -166,7 +166,9 @@ "source": [ "plt.plot(c_sticking_probability.p, c_sticking_probability.fd_mean)\n", "plt.plot(rust_sticking_probability.p, rust_sticking_probability.fd_mean)\n", - "plt.legend([\"C\", \"Rust\"])" + "plt.errorbar([1], [1.70], marker='x', yerr=[0.06])\n", + "plt.errorbar([1], [1.7311567309540636], marker='o', color='red', yerr=[0.020648406595153657])\n", + "plt.legend([\"C\", \"Rust\", \"Previous Model\", \"Theory\"])" ], "metadata": { "collapsed": false