diff --git a/notebooks/names.ipynb b/notebooks/names.ipynb index 43b5285..a338089 100644 --- a/notebooks/names.ipynb +++ b/notebooks/names.ipynb @@ -827,663 +827,6 @@ "outputs": [], "execution_count": 134 }, - { - "metadata": { - "ExecuteTime": { - "end_time": "2025-09-25T19:20:21.846303Z", - "start_time": "2025-09-25T19:20:21.826623Z" - } - }, - "cell_type": "code", - "source": "P_both", - "id": "e18d66243a2e84ce", - "outputs": [ - { - "data": { - "text/plain": [ - "array([[0.00000000e+00, 3.24013508e-02, 9.26023186e-02, 8.07567504e-03,\n", - " 1.78577669e-02, 2.02887868e-02, 8.45799629e-03, 5.69657652e-03,\n", - " 3.69820166e-03, 2.68854009e-02, 3.07494515e-03, 1.88787613e-01,\n", - " 6.02969225e-02, 2.67433060e-01, 1.19960803e-01, 1.46038926e-02,\n", - " 1.25087642e-02, 9.48564064e-06, 5.46732357e-03, 3.25790818e-02,\n", - " 4.21499933e-02, 4.79364338e-03, 5.06603104e-03, 1.06228192e-02,\n", - " 8.28745445e-06, 1.07286590e-02, 5.94460106e-03, 0.00000000e+00],\n", - " [0.00000000e+00, 9.79188615e-04, 4.85819282e-02, 2.02181039e-03,\n", - 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"start_time": "2025-09-25T19:20:46.990660Z" - } - }, - "cell_type": "code", - "source": "P_female", - "id": "78142f56e835ff4d", - "outputs": [ - { - "data": { - "text/plain": [ - "array([[0.00000000e+00, 3.65966617e-02, 8.96182961e-02, 7.68883017e-03,\n", - " 1.73723258e-02, 1.92876266e-02, 1.23057951e-02, 4.71014311e-03,\n", - " 3.06709329e-03, 2.40773856e-02, 2.20287220e-03, 1.82218544e-01,\n", - " 5.73457537e-02, 2.66976256e-01, 1.30568462e-01, 1.39367895e-02,\n", - " 1.23226225e-02, 1.10507783e-05, 5.44351294e-03, 3.51806551e-02,\n", - " 3.99098859e-02, 4.41403248e-03, 6.02116726e-03, 1.03000789e-02,\n", - " 3.01384863e-06, 1.11175853e-02, 7.30355986e-03, 0.00000000e+00],\n", - " [0.00000000e+00, 8.31719108e-04, 4.41754154e-02, 2.23632174e-03,\n", - " 2.01207119e-02, 9.39935349e-04, 7.65420097e-03, 5.62746537e-03,\n", - " 1.67441443e-02, 5.51483214e-03, 3.66499697e-03, 4.26625966e-02,\n", - " 6.85750858e-02, 7.64121502e-02, 1.30490014e-01, 1.83194636e-03,\n", - " 1.24174824e-02, 5.74208625e-06, 1.05031591e-02, 4.58479085e-02,\n", - 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" 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", - " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00]])" - ] - }, - "execution_count": 87, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 87 - }, { "cell_type": "code", "id": "67b3e0f724af646b", @@ -1895,8 +1238,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2025-09-25T20:34:04.554985Z", - "start_time": "2025-09-25T20:34:04.545470Z" + "end_time": "2025-09-25T21:39:15.252765Z", + "start_time": "2025-09-25T21:39:15.191830Z" } }, "cell_type": "code", @@ -1909,22 +1252,19 @@ " # Slice datasets (adapt values if your labels are 'M'/'F', etc.)\n", " df_male = df_all[df_all['sex'].str.lower() == str('m').lower()]\n", " df_female = df_all[df_all['sex'].str.lower() == str('f').lower()]\n", - " df_both = df_all\n", "\n", " L_m = letter_freq(df_male, col='name')\n", " L_f = letter_freq(df_female, col='name')\n", - " L_b = letter_freq(df_both, col='name')\n", "\n", " y = \"freq\" if use == \"freq\" else \"count\"\n", " if sort_values:\n", " L_m = L_m.sort_values(y, ascending=False)\n", " L_f = L_f.sort_values(y, ascending=False)\n", - " L_b = L_b.sort_values(y, ascending=False)\n", "\n", - " ymax = max(L_m[y].max(), L_f[y].max(), L_b[y].max()) * 1.10\n", + " ymax = max(L_m[y].max(), L_f[y].max()) * 1.10\n", "\n", - " fig, axes = plt.subplots(1, 3, figsize=(18, 5), sharey=True, constrained_layout=True)\n", - " for ax, data, title in zip(axes, [L_m, L_f, L_b], [\"Male\", \"Female\", \"All\"]):\n", + " fig, axes = plt.subplots(1, 2, figsize=(18, 5), sharey=True, constrained_layout=True)\n", + " for ax, data, title in zip(axes, [L_m, L_f], [\"Male\", \"Female\"]):\n", " ax.bar(data[\"letter\"], data[y], color=\"steelblue\", alpha=0.8)\n", " ax.set_title(title)\n", " ax.set_xlabel(\"Letter\")\n", @@ -1935,13 +1275,13 @@ ], "id": "4a0d8e2a74a6406c", "outputs": [], - "execution_count": 167 + "execution_count": 207 }, { "metadata": { "ExecuteTime": { - "end_time": "2025-09-25T20:34:46.748031Z", - "start_time": "2025-09-25T20:34:06.149889Z" + "end_time": "2025-09-25T21:39:45.123899Z", + "start_time": "2025-09-25T21:39:17.350875Z" } }, "cell_type": "code", @@ -1951,9 +1291,9 @@ { "data": { "text/plain": [ - 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}, "metadata": {}, "output_type": "display_data", @@ -1962,13 +1302,13 @@ } } ], - "execution_count": 168 + "execution_count": 208 }, { "metadata": { "ExecuteTime": { - "end_time": "2025-09-25T20:35:31.783422Z", - "start_time": "2025-09-25T20:34:54.827165Z" + "end_time": "2025-09-25T21:40:08.366997Z", + "start_time": "2025-09-25T21:39:45.174312Z" } }, "cell_type": "code", @@ -1978,9 +1318,9 @@ { "data": { "text/plain": [ - "
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}, "metadata": {}, "output_type": "display_data", @@ -1989,15 +1329,15 @@ } } ], - "execution_count": 169 + "execution_count": 209 }, { "cell_type": "code", "id": "98c7ed61-5c2d-4d9a-9d85-e4efe4bfc402", "metadata": { "ExecuteTime": { - "end_time": "2025-09-25T21:03:55.917695Z", - "start_time": "2025-09-25T21:03:55.879223Z" + "end_time": "2025-09-25T21:35:00.849876Z", + "start_time": "2025-09-25T21:35:00.831997Z" } }, "source": [ @@ -2036,17 +1376,15 @@ " # Split datasets\n", " df_male = df[df[gender_col].str.lower() == str(male_value).lower()]\n", " df_female = df[df[gender_col].str.lower() == str(female_value).lower()]\n", - " df_all = df\n", "\n", " # Compute n-grams\n", " ng_male = count_ngrams(df_male, n, col=name_col)\n", " ng_female = count_ngrams(df_female, n, col=name_col)\n", - " ng_all = count_ngrams(df_all, n, col=name_col)\n", "\n", " # Plot in a grid\n", - " fig, axes = plt.subplots(1, 3, figsize=(18, 6), sharey=True, constrained_layout=True)\n", + " fig, axes = plt.subplots(1, 2, figsize=(18, 6), sharey=True, constrained_layout=True)\n", " for ax, data, title in zip(\n", - " axes, [ng_male, ng_female, ng_all], [\"Male\", \"Female\", \"All\"]\n", + " axes, [ng_male, ng_female], [\"Male\", \"Female\"]\n", " ):\n", " sns.barplot(\n", " data=data.head(top_k),\n", @@ -2061,15 +1399,15 @@ " plt.show()" ], "outputs": [], - "execution_count": 192 + "execution_count": 202 }, { "cell_type": "code", "id": "412883b2-c1fd-483f-b61a-ba2bfc8b04e7", "metadata": { "ExecuteTime": { - "end_time": "2025-09-25T21:05:12.622401Z", - "start_time": "2025-09-25T21:03:59.209917Z" + "end_time": "2025-09-25T21:35:45.360163Z", + "start_time": "2025-09-25T21:35:03.778209Z" } }, "source": "plot_ngrams_grid(df_names, n=3, top_k=20, gender_col=\"sex\")", @@ -2077,9 +1415,9 @@ { "data": { "text/plain": [ - "
" + "
" ], - "image/png": 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" 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" }, "metadata": {}, "output_type": "display_data", @@ -2088,13 +1426,13 @@ } } ], - "execution_count": 193 + "execution_count": 203 }, { "metadata": { "ExecuteTime": { - "end_time": "2025-09-25T21:06:14.580840Z", - "start_time": "2025-09-25T21:05:18.437587Z" + "end_time": "2025-09-25T21:36:19.354244Z", + "start_time": "2025-09-25T21:35:45.428602Z" } }, "cell_type": "code", @@ -2104,9 +1442,9 @@ { "data": { "text/plain": [ - "
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" 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" }, "metadata": {}, "output_type": "display_data", @@ -2115,13 +1453,13 @@ } } ], - "execution_count": 194 + "execution_count": 204 }, { "metadata": { "ExecuteTime": { - "end_time": "2025-09-25T21:07:02.952457Z", - "start_time": "2025-09-25T21:06:20.917544Z" + "end_time": "2025-09-25T21:36:46.475564Z", + "start_time": "2025-09-25T21:36:21.247703Z" } }, "cell_type": "code", @@ -2131,9 +1469,9 @@ { "data": { "text/plain": [ - "
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" }, "metadata": {}, "output_type": "display_data", @@ -2142,7 +1480,7 @@ } } ], - "execution_count": 195 + "execution_count": 205 }, { "cell_type": "markdown", @@ -2157,8 +1495,8 @@ "id": "28fe77f9-f9b0-4267-9dbb-3969e04b83fb", "metadata": { "ExecuteTime": { - "end_time": "2025-09-25T18:53:56.149023Z", - "start_time": "2025-09-25T18:53:56.131963Z" + "end_time": "2025-09-25T21:43:42.826584Z", + "start_time": "2025-09-25T21:43:42.798968Z" } }, "source": [ @@ -2170,12 +1508,23 @@ "\n", "# Prepare a well-formed probability matrix (rows sum to 1, no NaNs/negatives)\n", "def prepare_prob_matrix(df_probs, tokens):\n", - " P = df_probs.loc[tokens, tokens].to_numpy(dtype=float)\n", + " import pandas as pd, numpy as np\n", + " if isinstance(df_probs, pd.DataFrame):\n", + " P = df_probs.loc[tokens, tokens].to_numpy(dtype=float, copy=True)\n", + " else:\n", + " P = np.array(df_probs, dtype=float, copy=True)\n", + " if P.shape[0] != len(tokens) or P.shape[1] != len(tokens):\n", + " raise ValueError(\n", + " f\"Matrix shape {P.shape} does not match tokens length {len(tokens)}. \"\n", + " \"Use the same tokens used to build the matrix (e.g., transitions['tokens']).\"\n", + " )\n", + " # clean & renormalize\n", " P[~np.isfinite(P) | (P < 0)] = 0.0\n", " rs = P.sum(axis=1, keepdims=True)\n", " P = np.divide(P, np.where(rs == 0, 1.0, rs), out=np.zeros_like(P), where=True)\n", " return P\n", "\n", + "\n", "def generate_name(P, token_to_idx, idx_to_token, *,\n", " target_len=None, # exact character length (letters only), if provided\n", " min_len=1, # minimum character length\n", @@ -2229,39 +1578,52 @@ " return \"\".join(out).capitalize()" ], "outputs": [], - "execution_count": 73 + "execution_count": 210 }, { "metadata": { "ExecuteTime": { - "end_time": "2025-09-25T18:59:06.977707Z", - "start_time": "2025-09-25T18:59:06.964852Z" + "end_time": "2025-09-25T21:43:58.987200Z", + "start_time": "2025-09-25T21:43:57.635944Z" } }, "cell_type": "code", "source": [ "# Example preparation and usage\n", - "P = prepare_prob_matrix(df_probs, tokens)\n", + "P = prepare_prob_matrix(transitions_male['df_probs'], tokens)\n", "generated_var = [generate_name(P, token_to_idx, idx_to_token, min_len=5, max_len=12, temperature=0.5) for _ in range(10)]\n", "\n", - "display(pd.DataFrame(generated_var, columns=[\"name\"]))" + "names = pd.DataFrame(generated_var, columns=[\"name\"])" ], "id": "a01eb547985d5a62", + "outputs": [], + "execution_count": 212 + }, + { + "metadata": { + "ExecuteTime": { + "end_time": "2025-09-25T21:44:03.354829Z", + "start_time": "2025-09-25T21:44:03.336042Z" + } + }, + "cell_type": "code", + "source": "names", + "id": "c5bcbff0204ceaa4", "outputs": [ { "data": { "text/plain": [ - " name\n", - "0 Mbamba\n", - "1 Ngokanga\n", - "2 Mimbango\n", - "3 Mundo\n", - "4 Musona\n", - "5 Bonda\n", - "6 Kanganga\n", - "7 Zandi\n", - "8 Vulunda\n", - "9 Mbangu" + " name\n", + "0 Tolemba\n", + "1 Kalanga\n", + "2 Mbayo\n", + "3 Kukasa\n", + "4 Kadamu\n", + "5 Bongalula\n", + "6 Kanga\n", + "7 Mangonga\n", + "8 Kayalela\n", + "9 Mbalo" ], "text/html": [ "
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" ] }, + "execution_count": 213, "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } + "output_type": "execute_result" } ], - "execution_count": 78 + "execution_count": 213 + }, + { + "metadata": { + "ExecuteTime": { + "end_time": "2025-09-25T21:44:29.411892Z", + "start_time": "2025-09-25T21:44:29.403639Z" + } + }, + "cell_type": "code", + "source": [ + "P = prepare_prob_matrix(transitions_female['df_probs'], tokens)\n", + "generated_var = [generate_name(P, token_to_idx, idx_to_token, min_len=5, max_len=12, temperature=0.5) for _ in range(10)]\n", + "\n", + "names = pd.DataFrame(generated_var, columns=[\"name\"])" + ], + "id": "5d5ec37da189b7a8", + "outputs": [], + "execution_count": 216 + }, + { + "metadata": { + "ExecuteTime": { + "end_time": "2025-09-25T21:44:33.290488Z", + "start_time": "2025-09-25T21:44:33.284314Z" + } + }, + "cell_type": "code", + "source": "names", + "id": "f9da3dad4317ac10", + "outputs": [ + { + "data": { + "text/plain": [ + " name\n", + "0 Ngone\n", + "1 Kandi\n", + "2 Kangonga\n", + "3 Dangangandi\n", + "4 Kukale\n", + "5 Mando\n", + "6 Kasaba\n", + "7 Mambo\n", + "8 Mpolanga\n", + "9 Kangena" + ], + "text/html": [ + "
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