Keras_Tamanho_do_Treino.ipynb

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  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "id": "fcIAeuvMAodB"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import tensorflow as tf\n",
    "from tensorflow import keras\n",
    "from tqdm.notebook import tqdm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Arima\n",
    "import itertools\n",
    "import statsmodels.api as sm\n",
    "from datetime import datetime, timedelta\n",
    "from statsmodels.tsa.arima_model import ARIMA\n",
    "from statsmodels.graphics.tsaplots import acf, pacf, plot_acf, plot_pacf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.simplefilter(\"ignore\", UserWarning)\n",
    "warnings.simplefilter(\"ignore\", FutureWarning)\n",
    "warnings.filterwarnings(\"ignore\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.dates import DateFormatter\n",
    "import plotly.express as px\n",
    "%matplotlib inline\n",
    "pd.plotting.register_matplotlib_converters()\n",
    "plt.rcParams['figure.figsize']=(14,8)\n",
    "import seaborn\n",
    "seaborn.set\n",
    "seaborn.set_style(\"whitegrid\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "id": "4LnFNUOlK6t8"
   },
   "outputs": [],
   "source": [
    "def gerar_janelas(lista, tam):\n",
    "    '''(np.array, int) -> np.array, np.array'''\n",
    "    x, y = [], []\n",
    "    n = len(lista)\n",
    "    for i in range(n-tam):\n",
    "        janela = lista[i:i+tam]\n",
    "        x.append(janela)\n",
    "        y.append(lista[i+tam])\n",
    "    return np.array(x), np.array(y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Treinando dados de cotações"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# importando o csv das cotações de venda de moeda estrangeira\n",
    "moeda = \"Dolar\"\n",
    "dados_csv = pd.read_csv(\"datasets/cotacao_%s.csv\"%(moeda.split()[0].lower()))\n",
    "#dados_csv.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# filtra cotacoes de Fechamento\n",
    "dados_brutos = dados_csv.loc[dados_csv.tipoBoletim == \"Fechamento\"]\n",
    "dados_brutos = dados_brutos.reset_index().drop([\"tipoBoletim\", \"index\"], axis=1)\n",
    "#dados_brutos.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Renomear as colunas\n",
    "dados = dados_brutos.copy()\n",
    "dados.columns = [\"cotacao\", \"dia\"]\n",
    "\n",
    "# usando apenas o dia e ignorando o horário\n",
    "dados.dia = pd.to_datetime(dados.dia.str[:10])\n",
    "dados = dados.set_index(\"dia\")\n",
    "\n",
    "# convertendo formato da parte decimal\n",
    "dados.cotacao = pd.to_numeric(dados.cotacao.str.replace(\",\", \".\"))\n",
    "\n",
    "# filtrando períodos\n",
    "dados = dados[\"2014-03-01\":\"2018-03-01\"]\n",
    "#dados.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
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\"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"baxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"caxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"title\": {\"x\": 0.05}, \"xaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}, \"yaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}}}, \"title\": {\"text\": \"Cota\\u00e7\\u00f5es de Venda do D\\u00f3lar\"}, \"xaxis\": {\"anchor\": \"y\", \"domain\": [0.0, 1.0], \"title\": {\"text\": \"Per\\u00edodo\"}}, \"yaxis\": {\"anchor\": \"x\", \"domain\": [0.0, 1.0], \"title\": {\"text\": \"Cota\\u00e7\\u00e3o de Venda (R$)\"}}},                        {\"responsive\": true}                    ).then(function(){\n",
       "                            \n",
       "var gd = document.getElementById('ca613f14-a66c-4c96-87b4-06d6f922f53a');\n",
       "var x = new MutationObserver(function (mutations, observer) {{\n",
       "        var display = window.getComputedStyle(gd).display;\n",
       "        if (!display || display === 'none') {{\n",
       "            console.log([gd, 'removed!']);\n",
       "            Plotly.purge(gd);\n",
       "            observer.disconnect();\n",
       "        }}\n",
       "}});\n",
       "\n",
       "// Listen for the removal of the full notebook cells\n",
       "var notebookContainer = gd.closest('#notebook-container');\n",
       "if (notebookContainer) {{\n",
       "    x.observe(notebookContainer, {childList: true});\n",
       "}}\n",
       "\n",
       "// Listen for the clearing of the current output cell\n",
       "var outputEl = gd.closest('.output');\n",
       "if (outputEl) {{\n",
       "    x.observe(outputEl, {childList: true});\n",
       "}}\n",
       "\n",
       "                        })                };                });            </script>        </div>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = px.line(dados, y=\"cotacao\")\n",
    "fig.update_layout(xaxis_title=\"Período\", yaxis_title=\"Cotação de Venda (R$)\", \n",
    "                  title=\"Cotações de Venda do Dólar\")\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Treinamento\n",
    "Treinar respeitando a ordenação temporal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "972 722 250 74.3%\n"
     ]
    }
   ],
   "source": [
    "# número de dias que serão usados para a comparação\n",
    "N = 7\n",
    "\n",
    "# tamanho das janelas de dados\n",
    "tam_janela = 30\n",
    "\n",
    "# D0 dos dos testes\n",
    "dia_corte = \"2017-02-28\"\n",
    "\n",
    "n_total = dados.shape[0]-tam_janela\n",
    "n_train = dados[:dia_corte].shape[0]-tam_janela\n",
    "\n",
    "# conferindo\n",
    "print(\"%d %d %d %.1f%%\" %(n_total, n_train, n_total-n_train, n_train/n_total*100))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DatetimeIndex(['2017-03-02', '2017-03-03', '2017-03-06', '2017-03-07',\n",
       "               '2017-03-08', '2017-03-09', '2017-03-10'],\n",
       "              dtype='datetime64[ns]', name='dia', freq=None)"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Dias usados no teste de comparações\n",
    "dias_teste = dados[dia_corte:].head(N+1).index[1:]\n",
    "dias_teste"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DatetimeIndex(['2014-04-16', '2014-04-17', '2014-04-22', '2014-04-23',\n",
       "               '2014-04-24', '2014-04-25', '2014-04-28', '2014-04-29',\n",
       "               '2014-04-30', '2014-05-02',\n",
       "               ...\n",
       "               '2017-02-13', '2017-02-14', '2017-02-15', '2017-02-16',\n",
       "               '2017-02-17', '2017-02-20', '2017-02-21', '2017-02-22',\n",
       "               '2017-02-23', '2017-02-24'],\n",
       "              dtype='datetime64[ns]', name='dia', length=722, freq=None)"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Dias usados no treino do Keras (para usar nos gráficos)\n",
    "dias_treino = dados[:dia_corte].index[tam_janela:]\n",
    "dias_treino"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [],
   "source": [
    "# gerando as janelas\n",
    "janelas_x, janelas_y = gerar_janelas(dados.cotacao, tam_janela)\n",
    "\n",
    "# janelas de treino para o Keras\n",
    "x_train = janelas_x[:n_train].reshape((n_train, tam_janela, 1))\n",
    "y_train = janelas_y[:n_train]\n",
    "\n",
    "# janelas de teste (N dias)\n",
    "x_arima = janelas_x[n_train:n_train+N]\n",
    "x_test = x_arima.reshape((N, tam_janela, 1))\n",
    "y_test = janelas_y[n_train:n_train+N]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['2017-01-16', '2017-01-17', '2017-01-18', '2017-01-19', '2017-01-20', '2017-01-23', '2017-01-24', '2017-01-25', '2017-01-26', '2017-01-27', '2017-01-30', '2017-01-31', '2017-02-01', '2017-02-02', '2017-02-03', '2017-02-06', '2017-02-07', '2017-02-08', '2017-02-09', '2017-02-10', '2017-02-13', '2017-02-14', '2017-02-15', '2017-02-16', '2017-02-17', '2017-02-20', '2017-02-21', '2017-02-22', '2017-02-23', '2017-02-24']\n",
      "2017-03-01\n"
     ]
    }
   ],
   "source": [
    "datas_x, datas_y = gerar_janelas(dados.index.date, tam_janela)\n",
    "print([\"%s\"%x for x in datas_x[n_train]])\n",
    "print(datas_y[n_train])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Gráfico mostrando conjunto de treino e de teste para as redes neurais\n",
    "plt.plot(dados[:datetime.strptime(dia_corte, \"%Y-%m-%d\")+timedelta(days=1)].index[tam_janela:], \n",
    "         janelas_y[:n_train+1], \"b.-\", label=\"Conjunto de treino\")\n",
    "plt.plot(dias_teste, y_test, \"r.-\", label=\"Conjunto de teste\")\n",
    "plt.title(\"Cotações de Venda de %s\"%(moeda), fontsize=20)\n",
    "plt.xlabel(\"Período\", fontsize=16)\n",
    "plt.ylabel(\"Cotação de Venda (R$)\", fontsize=16)\n",
    "plt.legend(fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "scrolled": true
   },
   "source": [
    "# criar modelo de redes neurais\n",
    "model = keras.Sequential()\n",
    "model.add(keras.layers.Conv1D(filters=64, kernel_size=3, activation='elu', padding=\"causal\",\n",
    "                              input_shape=(tam_janela, 1)))\n",
    "model.add(keras.layers.MaxPooling1D(pool_size=3))\n",
    "model.add(keras.layers.Flatten())\n",
    "model.add(keras.layers.Dense(30, activation='elu'))\n",
    "model.add(keras.layers.Dense(1))\n",
    "model.compile(optimizer='adam', loss='mse')\n",
    "\n",
    "# treinar modelo\n",
    "_ = model.fit(x_train, y_train, epochs=15, verbose=1)\n",
    "\n",
    "# Exibe erro MSE para conjunto de treino\n",
    "#model.evaluate(x_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [],
   "source": [
    "# salvar modelo\n",
    "#model.save(\"keras_dolar.h5\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 359,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# carregar modelo\n",
    "model = keras.models.load_model(\"keras_dolar.h5\")\n",
    "\n",
    "# Plotando previsões versus real do conjunto de treino\n",
    "y_train_pred = model.predict(x_train).reshape(-1)\n",
    "\n",
    "plt.plot(dias_treino, y_train, \"b-\", label=\"Conjunto de treino\")\n",
    "plt.plot(dias_treino, y_train_pred, \"g.-\", label=\"Ajuste\")\n",
    "plt.legend(loc=1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 302,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RMSE: 0.08330711618473201\n",
      "MAE: 0.06548415489347555\n"
     ]
    }
   ],
   "source": [
    "# erro RMSE = raiz do erro quadrático médio\n",
    "print(\"RMSE:\", np.sqrt(np.mean((y_train_pred - y_train)**2)))\n",
    "\n",
    "# erro MAE = erro absoluto médio\n",
    "print(\"MAE:\", np.mean(np.abs(y_train_pred - y_train)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 305,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Plotando previsões versus real do conjunto de teste\n",
    "y_keras = model.predict(x_test).reshape(-1)\n",
    "\n",
    "# conferindo janelas (ok)\n",
    "#print(y_train[-N:], y_test, y_test_pred)\n",
    "#print(janelas_y[n_train-2:n_train+2])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Bloco do Arima"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1188x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1188x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1188x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1188x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1188x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1188x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1188x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Autocorrelação\n",
    "def plotar_autocorrelacao(campo, lags=10):\n",
    "    '''(np.array, int) -> None'''\n",
    "    fig, ax = plt.subplots(1, 2, figsize=(16.5, 5))\n",
    "    acf = plot_acf(campo, lags=lags, ax=ax[0], title=\"ACF\")\n",
    "    pacf = plot_pacf(campo, lags=lags, ax=ax[1], title=\"PACF\")\n",
    "    plt.show()\n",
    "\n",
    "for i in range(N):\n",
    "    plotar_autocorrelacao(x_arima[i])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Parâmetros do modelo\n",
    "\n",
    "    *p é a ordem do componente autoregressiva\n",
    "    *d é o número de diferenças tomadas na série\n",
    "    *q é a ordem da componente de médias móveis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(0, 0, 1), (0, 0, 2), (0, 1, 0), (0, 1, 1), (0, 1, 2), (1, 0, 0), (1, 0, 1), (1, 0, 2), (1, 1, 0), (1, 1, 1), (1, 1, 2), (2, 0, 0), (2, 0, 1), (2, 0, 2), (2, 1, 0), (2, 1, 1), (2, 1, 2)]\n"
     ]
    }
   ],
   "source": [
    "p = q = range(0, 3)\n",
    "d = [0, 1]\n",
    "T = [5, 7]\n",
    "pdq = list(itertools.product(p, d, q))[1:] # ignorando (0, 0, 0)\n",
    "PDQ = list(itertools.product(p, d, q, T))[1:] # ignorando (0, 0, 0)\n",
    "print(pdq)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "scrolled": true
   },
   "source": [
    "# construindo uma busca de parâmetros ótimos\n",
    "best_params = []\n",
    "best_params_s = []\n",
    "best_model = []\n",
    "\n",
    "for k in range(N):\n",
    "    params = None\n",
    "    params_s = None\n",
    "    model = None\n",
    "    best_aic = float(\"inf\")\n",
    "    for param in tqdm(pdq):\n",
    "        #for param_s in PDQ:\n",
    "        try:\n",
    "            mod = ARIMA(x_arima[k], order=param)\n",
    "            #mod = SARIMAX(x_arima[k], order=param, seasonal_order=param_s)\n",
    "            results = mod.fit()\n",
    "            if results.aic < best_aic:\n",
    "                best_aic = results.aic\n",
    "                params = param\n",
    "                #params_s = param_s\n",
    "                model = mod\n",
    "        except:\n",
    "            continue\n",
    "\n",
    "    # Salva o melhor modelo encontrado\n",
    "    best_params.append(params)\n",
    "    #best_params_s.append(params_s)\n",
    "    best_model.append(model)\n",
    "    print(\"AIC:%f\"%(best_aic))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ARIMA [2, 0, 1]\n",
      "ARIMA [1, 1, 0]\n",
      "ARIMA [2, 0, 0]\n",
      "ARIMA [2, 0, 0]\n",
      "ARIMA [2, 0, 0]\n",
      "ARIMA [2, 0, 0]\n",
      "ARIMA [2, 0, 0]\n"
     ]
    }
   ],
   "source": [
    "# Exibe qual o melhor modelo encontrado\n",
    "for k in range(N):\n",
    "    print(\"ARIMA %s\" %(list(best_params[k])))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 169,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Previsões das múltiplas janelas\n",
    "y_arima = []\n",
    "for k in range(N):\n",
    "    modelo = ARIMA(x_arima[k], order=(2, 0, 0)).fit()\n",
    "    y_arima.append(modelo.forecast()[0][0])\n",
    "    #print(modelo.forecast())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Bloco Perceptron"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 207,
   "metadata": {},
   "outputs": [],
   "source": [
    "from perceptron import Perceptron"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 341,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_percep_train = y_train.copy().reshape(-1, 1)\n",
    "x_percep_train = x_train.copy().reshape(len(x_train), -1)\n",
    "x_percep_test = x_test.copy().reshape(len(x_test), -1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 352,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "97e48896825449eda3ee82ccd451f05f",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=0.0, max=25.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "perceptron = Perceptron(taxa=0.001, ativacao=\"elu\", N=[20, 10, 1])\n",
    "perceptron.treinar(x_percep_train, y_percep_train, M=25)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 354,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y_percep_train_pred = perceptron.prever(x_percep_train)\n",
    "plt.plot(y_train, \"b-\")\n",
    "plt.plot(y_percep_train_pred, \"r.-\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 355,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_percep = perceptron.prever(x_percep_test)\n",
    "y_percep = y_percep.reshape(-1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plotando tudo junto"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 378,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotando tudo junto\n",
    "plt.plot(dias_teste, y_test, \"b.-\", label=\"Cotação real\")\n",
    "plt.plot(dias_teste, y_keras, \"g.--\", label=\"Previsão Keras\")\n",
    "plt.plot(dias_teste, y_arima, \"r.--\", label=\"Previsão Arima\")\n",
    "#plt.plot(dias_teste, y_percep, \"c.--\", label=\"Previsão Perceptron\")\n",
    "plt.legend(loc=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 401,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2017-08-16 & 3.1670 & 3.2039 & 3.1770 & 3.1976 \\\\\n",
      "2017-08-17 & 3.1603 & 3.1505 & 3.1737 & 3.1402 \\\\\n",
      "2017-08-18 & 3.1654 & 3.1584 & 3.1694 & 3.1976 \\\\\n",
      "2017-08-21 & 3.1443 & 3.1690 & 3.1632 & 3.1402 \\\\\n",
      "2017-08-22 & 3.1539 & 3.1370 & 3.1592 & 3.1402 \\\\\n",
      "2017-08-23 & 3.1569 & 3.1589 & 3.1561 & 3.1402 \\\\\n",
      "2017-08-24 & 3.1404 & 3.1584 & 3.1534 & 3.1402 \\\\\n"
     ]
    }
   ],
   "source": [
    "for k in range(N):\n",
    "    print(\"%s & %.4f & %.4f & %.4f & %.4f \\\\\\\\\"%(dias_teste[k].date(), \n",
    "                                               y_test[k], y_arima[k], y_keras[k], y_percep[k]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 377,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RMSE Arima: 0.0197\n",
      "RMSE Keras: 0.0110\n",
      "RMSE Perceptron: 0.0202\n",
      "\n",
      "MAE Arima: 0.0165\n",
      "MAE Keras: 0.0093\n",
      "MAE Perceptron: 0.0168\n",
      "\n",
      "Correlação: Real x Arima: 0.3196\n",
      "Correlação: Real x Keras: 0.7594\n",
      "Correlação: Real x Perceptron: 0.7271\n"
     ]
    }
   ],
   "source": [
    "# erro RMSE = raiz do erro quadrático médio\n",
    "print(\"RMSE Arima: %.4f\" %np.sqrt(np.mean((y_arima - y_test)**2)))\n",
    "print(\"RMSE Keras: %.4f\" %np.sqrt(np.mean((y_test_pred - y_test)**2)))\n",
    "print(\"RMSE Perceptron: %.4f\\n\" %np.sqrt(np.mean((y_percep - y_test)**2)))\n",
    "\n",
    "# erro MAE = erro absoluto médio\n",
    "print(\"MAE Arima: %.4f\" %np.mean(np.abs(y_arima - y_test)))\n",
    "print(\"MAE Keras: %.4f\" %np.mean(np.abs(y_test_pred - y_test)))\n",
    "print(\"MAE Perceptron: %.4f\\n\" %np.mean(np.abs(y_percep - y_test)))\n",
    "\n",
    "# Correlação de Pearson\n",
    "print(\"Correlação: Real x Arima: %.4f\" %np.corrcoef(y_test, y_arima)[0, 1])\n",
    "print(\"Correlação: Real x Keras: %.4f\" %np.corrcoef(y_test, y_keras)[0, 1])\n",
    "print(\"Correlação: Real x Perceptron: %.4f\" %np.corrcoef(y_test, y_percep)[0, 1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 376,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RMSE Média: 0.0129\n",
      "MAE Média: 0.0112\n",
      "Correlação: Real x Média: 0.6712\n"
     ]
    }
   ],
   "source": [
    "y_media = (y_arima + y_keras + y_percep)/3\n",
    "plt.plot(dias_teste, y_test, \"b.-\", label=\"Cotação real\")\n",
    "plt.plot(dias_teste, y_media, \"r.--\", label=\"Ensemble\")\n",
    "plt.legend(loc=0)\n",
    "plt.show()\n",
    "\n",
    "print(\"RMSE Média: %.4f\" %np.sqrt(np.mean((y_media - y_test)**2)))\n",
    "print(\"MAE Média: %.4f\" %np.mean(np.abs(y_media - y_test)))\n",
    "print(\"Correlação: Real x Média: %.4f\" %np.corrcoef(y_test, y_media)[0, 1])"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "collapsed_sections": [],
   "name": "Keras & Séries Temporais.ipynb",
   "provenance": []
  },
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}