수학_세특용.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "# 로지스틱 회귀\n",
        "\n",
        "인공지능의 기가 학습을 위해서는 문제와 그 문제가 참인지 거짓 인지 두 개의 선택지 중에서 정답을 고르는 문제가 많다. ex) 이것은 바나나인가 아닌가 등  이렇게 둘 중 하나를 결정하는 문제를 이진 분류(Binary Classification)라고 한다. 그리고 이런 문제를 학습시키기 위한 대표적인 알고리즘으로 로지스틱 회귀(Logistic Regression)가 있다. 로지스틱 회귀에서는 시그모이드 함수 중 로지스틱 함수를 이용한다. 나는 이것을 수학적 수식으로 이미지화하고 로지스틱 함수 외에 다양한 시그모이드 함수를 구현해 볼 것이다.\n",
        "\n",
        "# 로지스틱 회귀를 주제로 선정한 이유\n",
        "- 로지스틱 회귀는 구현과 이해가 비교적 쉽고, 계산량도 적어서 비교적 빠르게 결과를 얻을 수 있다. 그렇지만 간단하다고 해서 성능이 나쁜 것은 아니다. 적절한 매개 변수 조정을 통해 성능을 향상시킬 수 있다.\n",
        "\n",
        "- 로지스틱 회귀는 확률값을 계산하는 데에 시그모이드 함수를 사용한다. 시그모이드 함수는 0과 1 사이의 값을 반환하므로 이를 활용하여 이진 분류 문제에서 확률을 예측하는 데에 적합하다. 또한 시그모이드 함수를 이해하고 변형하는 과정은 신경망과 딥러닝 등 복잡한 모델을 이해하는 데에도 도움이 될 것 같아 선정하게 되었다.\n",
        "\n"
      ],
      "metadata": {
        "id": "VopmAXZe1M5R"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# 로지스틱 함수 구현\n",
        "> 인공지능에서는 시그모이드 함수 중 기본적으로 로지스틱 함수를 많이 사용한다.\n",
        "> 그래서 로지스틱 함수와 시그모이드 함수는 거의 같은 의미라고 본다.\n",
        "> 하지만 시그모이드 함수는 로지스틱 함수 하나만 있는 것은 아니다.\n",
        "\n",
        "\n",
        "#시그모이드의 뜻\n",
        "시그모이드의 의미는 무한히 미분할 수 있는 S자 모양의 함수들을 이르는 말이다. x가 +로 갈수록 증가하고 -로 갈수록 감소하는 형태의 함수가 부드럽게 연결되는 함수이다.\n"
      ],
      "metadata": {
        "id": "pOvb8RsadV6H"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "## 로지스틱함수 수식 이미지화"
      ],
      "metadata": {
        "id": "qAnFnAifq8TA"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt\n",
        "\n",
        "plt.text(0.5, 0.5, r'$\\sigma(x) = \\frac{1}{1 + e^{-x}}$', fontsize=18, ha='center')\n",
        "plt.axis('off')\n",
        "plt.savefig('sigmoid_equation.png', bbox_inches='tight')\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 406
        },
        "id": "RqQkCpjXipO_",
        "outputId": "d929dbab-a0a3-464b-dabf-6c238a00bbeb"
      },
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## 로지스틱 함수 그래프"
      ],
      "metadata": {
        "id": "4i6N5nyFrAjj"
      }
    },
    {
      "cell_type": "code",
      "execution_count": 46,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 452
        },
        "id": "WJZRbobPbVwQ",
        "outputId": "7d680f8c-5935-45a0-c92e-671ce0f01e1c"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "def sigmoid(x):  #시그모이드 함수 생성\n",
        "    return 1 / (1 + np.exp(-x))\n",
        "\n",
        "x = np.arange(-5.0, 5.0, 0.1)\n",
        "y = sigmoid(x)\n",
        "\n",
        "plt.plot(x, y, 'g')\n",
        "plt.plot([0,0],[1.0,0.0], ':')\n",
        "plt.title('logistic Function')\n",
        "plt.show()\n"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## 로지스틱 함수 미분 식 이미지화"
      ],
      "metadata": {
        "id": "rMu6sWAyqklp"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt\n",
        "from sympy import symbols, exp, diff\n",
        "from sympy.printing import preview\n",
        "\n",
        "x = symbols('x')\n",
        "sigmoid_expr = 1 / (1 + exp(-x))\n",
        "sigmoid_derivative_expr = diff(sigmoid_expr, x)\n",
        "\n",
        "# 시그모이드 함수 미분 수식 이미지화\n",
        "plt.text(0.5, 0.5, r'$\\frac{d\\sigma(x)}{dx} = \\sigma(x) \\cdot (1 - \\sigma(x))$', fontsize=18, ha='center')\n",
        "plt.axis('off')\n",
        "plt.savefig('sigmoid_derivative_equation.png', bbox_inches='tight')\n",
        "plt.clf()\n",
        "\n",
        "\n",
        "plt.imshow(plt.imread('sigmoid_derivative_equation.png'))\n",
        "plt.axis('off')\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 406
        },
        "id": "KrDm04iXpNm-",
        "outputId": "786cee89-17c7-4a35-f7fd-8d5f008ddd76"
      },
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## 로지스틱 함수의 미분(도함수)\n"
      ],
      "metadata": {
        "id": "YcDUv5dOqxVl"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "def sigmoid(x):\n",
        "    return 1 / (1 + np.exp(-x))\n",
        "\n",
        "def sigmoid_derivative(x):\n",
        "    return sigmoid(x) * (1 - sigmoid(x))\n",
        "\n",
        "x = np.linspace(-10, 10, 1000)\n",
        "y_sigmoid = sigmoid(x)\n",
        "y_derivative = sigmoid_derivative(x)\n",
        "\n",
        "plt.plot(x, y_sigmoid, label='logistic')\n",
        "plt.plot(x, y_derivative, label='logistic derivative')\n",
        "plt.xlabel('x')\n",
        "plt.ylabel('y')\n",
        "plt.title('logistic Function and Its Derivative')\n",
        "plt.legend()\n",
        "plt.grid(True)\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        },
        "id": "vzW2U-7to_Kk",
        "outputId": "7d036590-354b-4626-ee54-55e175be6f22"
      },
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# 매개변수의 변화\n",
        "\n",
        "> 매개변수의 변화를 통해서 자신이 원하는 모델을 제작할 수 있다.\n",
        "매개변수(parameter)의 변화를 통해 원하는 모델을 제작하는 것은 기계 학습과 딥러닝에서 중요한 과정 중 하나이다. 모델의 성능과 특성은 모델의 매개변수에 의해 결정되기 때문에 이를 적절하게 조정하면 원하는 결과를 얻을 수 있다."
      ],
      "metadata": {
        "id": "kipu0fFx6pqb"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "## w의 변화\n"
      ],
      "metadata": {
        "id": "6-_LknELrRn7"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "x = np.arange(-5.0, 5.0, 0.1)\n",
        "y1 = sigmoid(0.5*x)\n",
        "y2 = sigmoid(x)\n",
        "y3 = sigmoid(2*x)\n",
        "\n",
        "plt.plot(x, y1, 'r', linestyle='--')\n",
        "plt.plot(x, y2, 'g')\n",
        "plt.plot(x, y3, 'b', linestyle='--')\n",
        "plt.plot([0,0],[1.0,0.0], ':')\n",
        "plt.title('logistic Function')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 452
        },
        "id": "Zd_DCUPEdanQ",
        "outputId": "30cc1b89-2f0c-4007-a080-20a41cddc1b2"
      },
      "execution_count": 48,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## b값의 변화"
      ],
      "metadata": {
        "id": "4Nxo416HrYdO"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "x = np.arange(-5.0, 5.0, 0.1)\n",
        "y1 = sigmoid(x+0.5)\n",
        "y2 = sigmoid(x+1)\n",
        "y3 = sigmoid(x+1.5)\n",
        "\n",
        "plt.plot(x, y1, 'r', linestyle='--')\n",
        "plt.plot(x, y2, 'g')\n",
        "plt.plot(x, y3, 'b', linestyle='--')\n",
        "plt.plot([0,0],[1.0,0.0], ':')\n",
        "plt.title('logistic Function')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 452
        },
        "id": "UkJO0zmqGctw",
        "outputId": "baf0866f-c60f-4364-be35-3d9c803ab2c2"
      },
      "execution_count": 47,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x = np.arange(-5.0, 5.0, 0.1)\n",
        "y1 = sigmoid(0.5*x+0.5)\n",
        "y2 = sigmoid(x+1)\n",
        "y3 = sigmoid(2*x+1.5)\n",
        "\n",
        "plt.plot(x, y1, 'r', linestyle='--')\n",
        "plt.plot(x, y2, 'g')\n",
        "plt.plot(x, y3, 'b', linestyle='--')\n",
        "plt.plot([0,0],[1.0,0.0], ':')\n",
        "plt.title('logistic Function')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 452
        },
        "id": "WjJAiNiuPtAu",
        "outputId": "10f79d43-0533-4a31-b920-62d984af13bf"
      },
      "execution_count": 49,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# 매개변수 예시\n",
        "경사 하강법(Gradient Descent): 모델의 성능을 평가하여 손실 함수를 최소화하는 방향으로 매개변수를 조정하는 방법이다. 주어진 데이터에 대해 손실 함수를 정의하고 이를 최소화하기 위해 매개변수를 업데이트하는 과정을 반복한다."
      ],
      "metadata": {
        "id": "so0MtS5i71N5"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "\n",
        "# Gradient descent\n",
        "\n",
        "# input (1,2,3,4,5,7) x\n",
        "# output (1,2,3,4,6,8) y\n",
        "\n",
        "x = [1,2,3,4,5,7]\n",
        "y = [1,2,3,4,6,8]\n",
        "learning_rate = 0.001\n",
        "# plotting function\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "\n",
        "def display_graph(x, y):\n",
        "    plt.plot(x, y, 'o')\n",
        "    # naming the x axis\n",
        "    plt.xlabel('x - axis')\n",
        "    # naming the y axis\n",
        "    plt.ylabel('y - axis')\n",
        "\n",
        "display_graph(x, y)\n",
        "\n",
        "def line_graph (g, b):\n",
        "    x = np.linspace(0, 10, 10)\n",
        "    y = g * x + b\n",
        "    plt.plot(x, y, alpha = 0.1)\n",
        "\n",
        "\n",
        "\n",
        "# gradient descent function\n",
        "\n",
        "def gradient_descent(x, y):\n",
        "\n",
        "    w = 0\n",
        "    b = 0\n",
        "\n",
        "    # y ? f(x): wx + b\n",
        "\n",
        "    for epoch in range (3000):\n",
        "\n",
        "        gradient_w_sum = 0\n",
        "        gradient_b_sum = 0\n",
        "\n",
        "        for i in range (len(x)):\n",
        "            y_hat = w * x [i] + b\n",
        "\n",
        "        # 기울기는 ob_f의 미분값\n",
        "            gradient_w = (y_hat - y [i]) * x[i]\n",
        "            gradient_w_sum = gradient_w_sum + gradient_w\n",
        "\n",
        "            gradient_b = ( y_hat - y[i])\n",
        "            gradient_b_sum = gradient_b_sum + gradient_b\n",
        "\n",
        "        # w = w - learning_rate * gradient\n",
        "        # 기울기를 구해서 업데이트\n",
        "\n",
        "        w = w - learning_rate * gradient_w_sum / len(x)\n",
        "        b = b - learning_rate * gradient_b_sum / len(x)\n",
        "        print (f\"gradient : {w} y-intercept: {b}\")\n",
        "        line_graph (w, b)\n",
        "\n",
        "# 최적화된 w, b\n",
        "\n",
        "    return w, b\n",
        "\n",
        "w, b  = gradient_descent(x, y)\n",
        "\n",
        "print (f\"weight: {w}, bias: {b}\")\n",
        "\n",
        "\n",
        "# epoch 만큼 파라미터를 업데이트\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "M-504hkw7zzr",
        "outputId": "0a75b468-8fec-46db-dd83-47c451e434a9"
      },
      "execution_count": 25,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
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            "gradient : 1.1292395674274345 y-intercept: -0.06963820818167998\n",
            "gradient : 1.129254755022025 y-intercept: -0.06970911505406556\n",
            "gradient : 1.1292699393568415 y-intercept: -0.06978000670742558\n",
            "gradient : 1.1292851204325836 y-intercept: -0.06985088314502658\n",
            "gradient : 1.1293002982499505 y-intercept: -0.06992174437013436\n",
            "gradient : 1.1293154728096417 y-intercept: -0.06999259038601405\n",
            "gradient : 1.1293306441123567 y-intercept: -0.07006342119593005\n",
            "weight: 1.1293306441123567, bias: -0.07006342119593005\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# 다양한 형태의 시그모이드 함수\n"
      ],
      "metadata": {
        "id": "goFpcjmDFiB8"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from torch.nn.modules.module import register_module_buffer_registration_hook\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "def sigmoid1(x):\n",
        "    return 2/np.pi*np.arctan(np.pi/2*x)\n",
        "\n",
        "def tanh(x):\n",
        "    return (np.exp(x)-np.exp(-x))/(np.exp(x)+np.exp(-x))\n",
        "\n",
        "def arctan(x):\n",
        "    return 2/np.pi*np.arctan(np.pi/2*x)\n",
        "\n",
        "def xr(x):\n",
        "    return x / np.sqrt(2 + x**2)\n",
        "\n",
        "def e(x):\n",
        "    return np.exp(-1/x**2*(np.exp(-1/(x-1)**2)))\n",
        "\n",
        "\n",
        "x = np.arange(-10.0, 10, 0.1)\n",
        "\n",
        "y = sigmoid1(x)\n",
        "plt.plot(x, y)\n",
        "\n",
        "y = tanh(x)\n",
        "plt.plot(x, y)\n",
        "\n",
        "y = arctan(x)\n",
        "plt.plot(x, y )\n",
        "\n",
        "y = xr(x)\n",
        "plt.plot(x,y)\n",
        "\n",
        "\n",
        "\n",
        "plt.plot([0,0],[1.0,-1.0], ':')\n",
        "\n",
        "plt.title('Sigmoid Function')\n",
        "\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 452
        },
        "id": "0fquktqAIPRk",
        "outputId": "348149ab-c97d-4773-d253-672f762f735a"
      },
      "execution_count": 24,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    }
  ]
}