From 0dbdd23b3d7c9873ce74a7c16651ea0585b15cbc Mon Sep 17 00:00:00 2001 From: Damian Bregier Date: Sun, 27 Jun 2021 17:34:20 +0200 Subject: [PATCH] ADD: Basic description/reorganisation --- Polynomial Regression.ipynb | 154 ++++++++++++++++++++++++------------ 1 file changed, 102 insertions(+), 52 deletions(-) diff --git a/Polynomial Regression.ipynb b/Polynomial Regression.ipynb index 4d82e39..c335477 100644 --- a/Polynomial Regression.ipynb +++ b/Polynomial Regression.ipynb @@ -48,7 +48,9 @@ "source": [ "Ze względu na specyfikę wytycznych projektu zakładającego wykorzystanie jedynie dwóch cech: x i y oraz modelowanie zależności y od x za pomocą funkcji wielomianowej dobrany został przez nas odpowiedni dataset. Obejmuje on jedynie trzy kolumny, czyli: płeć, wzrost w calach oraz wagę w funtach, z czego ze względu na specyfikę projektu wykorzystywane są jedynie wzrost oraz waga. Każdy z parametrów zawiera po 10 tysięcy unikalnych wartości.\n", "\n", - "![image.png](attachment:image.png)" + "![image.png](attachment:image.png)\n", + "\n", + "Dokładne informacje na temat tego zbioru, jego zawartości i samych danych można znaleźć pod adresem: https://www.kaggle.com/mustafaali96/weight-height." ] }, { @@ -99,39 +101,14 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## 2. Metody do regresji wielomianowej" + "## 2. Metody regresji wielomianowej" ] }, { "cell_type": "code", "execution_count": 4, - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "BGD:\n", - "f(x) = -65.64506277392492x^0 + 68.77648241255974x^1 + 114.75349304333467x^2 + 102.20675310280696x^3 + 52.800146520467116^4\n", - "82705 updates\n", - "\n", - "MBGD:\n", - "f(x) = -44.80297112432834x^0 + 44.010396798783276x^1 + 87.16025462485948x^2 + 99.3042290245095x^3 + 91.09402012892289^4\n", - "37501 updates\n", - "\n", - "SGD:\n", - "f(x) = 33.46300047596074x^0 + 42.75465449013618x^1 + 48.38013898892164x^2 + 51.32380253289521x^3 + 52.33242989471253^4\n", - "600001 updates\n", - "\n", - "momentum:\n", - "f(x) = 8.015549563834165x^0 + 38.12997860471219x^1 + 58.33870778356615x^2 + 71.22019895802777x^3 + 78.72511869002682^4\n", - "61 updates\n", - "\n" - ] - } - ], + "metadata": {}, + "outputs": [], "source": [ "def print_theta(theta):\n", " print(\"f(x) = \", end=\"\")\n", @@ -148,12 +125,48 @@ "# Implementacja wzoru na RMSE, czyli pierwiastek z błędu średniokwadratowego\n", "def mean_squared_error(theta, X, Y):\n", " J = 1.0 / (2.0 * m) * ((X * theta - Y).T * (X * theta - Y))\n", - " return J.item()\n", - "\n", + " return J.item()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 3. Wybrane rodzaje gradientów" + ] + }, + { + "attachments": { + "image.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Metoda gradientu prostego to algorytm numeryczny mający na celu znalezienie minimum lokalnego dla zadanej funkcji celu. Jak sama nazwa wskazuje jest to jedna z prostszych metod, która opiera się na iteracyjnym poszukiwaniu minimum. Proces ten (dla pierwszych czterech kroków), został pokazany na poniższym rysunku.\n", + "![image.png](attachment:image.png)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ "# Wzór na gradient prosty\n", "def gradient(theta, X, Y):\n", - " return 1.0 / len(Y) * (X.T * (X * theta - Y)) \n", - "\n", + " return 1.0 / len(Y) * (X.T * (X * theta - Y)) " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ "# Batch gradient descent (BGD)\n", "def BGD(X, Y, theta, cost_function = mean_squared_error, learning_rate=0.1, eps=10**-5, max_steps = 10000000000):\n", " cost = cost_function(theta, X, Y)\n", @@ -209,8 +222,45 @@ "\n", "# Stochastic gradient descent (SGD)\n", "def SGD(X, Y, theta, cost_function = mean_squared_error, learning_rate=0.1, epochs=5):\n", - " return MBGD(X, Y, theta, cost_function, learning_rate, epochs, 1)\n", - "\n", + " return MBGD(X, Y, theta, cost_function, learning_rate, epochs, 1)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 4. Zestawienie wyników" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "BGD:\n", + "f(x) = -65.64506277392528x^0 + 68.77648241256031x^1 + 114.75349304333466x^2 + 102.20675310280708x^3 + 52.80014652046691^4\n", + "82705 updates\n", + "\n", + "MBGD:\n", + "f(x) = -41.87728446390563x^0 + 46.386342187505655x^1 + 88.11833962940423x^2 + 98.52549425766668x^3 + 88.61917555232853^4\n", + "37501 updates\n", + "\n", + "SGD:\n", + "f(x) = 17.68516933588153x^0 + 37.059293160781614x^1 + 49.84892452267522x^2 + 57.756973382905485x^3 + 62.07857245324558^4\n", + "600001 updates\n", + "\n", + "momentum:\n", + "f(x) = 8.015549563834169x^0 + 38.129978604712115x^1 + 58.33870778356634x^2 + 71.22019895802788x^3 + 78.72511869002662^4\n", + "61 updates\n", + "\n" + ] + } + ], + "source": [ "final_theta_BGD, logs_1 = BGD(X, Y, initial_theta)\n", "print(\"BGD:\")\n", "print_theta(final_theta_BGD)\n", @@ -249,14 +299,14 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## 3. Reprezentacja graficzna regresji wielomianowej" + "## 4. Reprezentacja graficzna regresji wielomianowej" ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 7, "metadata": { - "scrolled": true + "scrolled": false }, "outputs": [ { @@ -268,7 +318,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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\n", + "image/png": 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\n", 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\n", 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\n", 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\n", + "image/png": 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\n", 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" ] @@ -360,12 +410,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## 4. Regresja wielomianowa z wykorzystaniem gotowych bibliotek" + "## 5. Regresja wielomianowa z wykorzystaniem gotowych bibliotek" ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -376,7 +426,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -386,7 +436,7 @@ " ('linearregression', LinearRegression())])" ] }, - "execution_count": 7, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -399,7 +449,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -408,13 +458,13 @@ "4" ] }, - "execution_count": 8, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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+ "image/png": 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" ] @@ -439,12 +489,12 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 11, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -477,7 +527,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.5" + "version": "3.8.8" } }, "nbformat": 4,