Mixure_density_networks.ipynb

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        "\n",
        "#### Dataset\n",
        "We start by downloading historical stock price data for Apple (AAPL) from Yahoo Finance. We specifically download daily closing prices and compute daily returns. Daily returns are calculated as the percentage change in closing prices from one day to the next. This dataset is used to train our MDN.\n",
        "\n",
        "#### Model Architecture\n",
        "The MDN consists of three main components:\n",
        "\n",
        "1. **Neural Network Layers**:\n",
        "   - **Input Layer**: Accepts a window of past returns (features).\n",
        "   - **Hidden Layers**: Two fully connected (dense) layers with ReLU activation functions.\n",
        "   - **Output Layer**: Outputs parameters for the mixture model: probabilities (`pi`), standard deviations (`sigma`), and means (`mu`) for each component in the mixture.\n",
        "\n",
        "2. **Mixture Components**:\n",
        "   - Each component in the mixture model represents a Gaussian distribution. The network outputs probabilities (`pi`) for each component, which determine the likelihood of each Gaussian distribution contributing to the prediction.\n",
        "\n",
        "#### Loss Function\n",
        "The loss function used is based on maximum likelihood estimation for the mixture model:\n",
        "\\[ \\text{loss} = -\\frac{1}{N} \\sum_{i=1}^{N} \\log \\left( \\sum_{j=1}^{M} \\pi_{ij} \\cdot \\mathcal{N}(y_i | \\mu_{ij}, \\sigma_{ij}) \\right) \\]\n",
        "where:\n",
        "- \\( N \\) is the batch size.\n",
        "- \\( M \\) is the number of mixture components (in this case, 5).\n",
        "- \\( \\pi_{ij} \\) is the probability of the \\( j \\)-th component for the \\( i \\)-th sample.\n",
        "- \\( \\mu_{ij} \\) and \\( \\sigma_{ij} \\) are the mean and standard deviation of the \\( j \\)-th component for the \\( i \\)-th sample.\n",
        "- \\( y_i \\) is the true target value (next day return) for the \\( i \\)-th sample.\n",
        "\n",
        "The goal is to maximize the likelihood of observing the true targets given the predicted mixture of Gaussian distributions.\n",
        "\n",
        "#### Training\n",
        "The model is trained using Adam optimizer with a learning rate of 0.001. During training, the network learns to adjust its parameters (weights and biases) to minimize the negative log-likelihood loss.\n",
        "\n",
        "### Why Use a Probabilistic Model (MDN) Here?\n",
        "\n",
        "Using a probabilistic model like MDN makes sense in this scenario for several reasons:\n",
        "\n",
        "- **Capturing Uncertainty**: Stock returns are inherently uncertain and influenced by numerous factors. A probabilistic model allows us to quantify and incorporate this uncertainty into predictions.\n",
        "  \n",
        "- **Multi-Modal Distributions**: Stock returns often exhibit complex patterns that cannot be accurately captured by a single deterministic model. MDN allows the model to learn multiple modes (clusters) in the data, each represented by a Gaussian distribution.\n",
        "\n",
        "- **Richer Predictive Distribution**: Instead of predicting a single point estimate (like in deterministic models), MDN provides a full predictive distribution. This distribution not only gives a mean estimate but also provides insights into the variability and likelihood of different outcomes.\n",
        "\n",
        "- **Risk Management**: For applications like portfolio management or risk assessment, understanding the uncertainty in predictions is crucial. MDN provides a tool to quantify and manage this risk effectively.\n",
        "\n",
        "In summary, MDNs offer a flexible framework for modeling complex, uncertain data distributions, making them particularly suitable for predicting stock returns where uncertainty and multiple potential outcomes are inherent.\n",
        "\n"
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            "\r[*********************100%%**********************]  1 of 1 completed\n"
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        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1400x700 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        }
      ],
      "source": [
        "import yfinance as yf\n",
        "import pandas as pd\n",
        "import numpy as np\n",
        "import torch\n",
        "from torch.utils.data import DataLoader, TensorDataset\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Download stock price data\n",
        "stock_data = yf.download('AAPL', start='2015-01-01', end='2023-01-01')\n",
        "\n",
        "# Calculate daily returns\n",
        "stock_data['Return'] = stock_data['Close'].pct_change().dropna()\n",
        "\n",
        "# Create features and targets\n",
        "window_size = 10\n",
        "features, targets = [], []\n",
        "for i in range(window_size, len(stock_data) - 1):\n",
        "    features.append(stock_data['Return'].values[i-window_size:i])\n",
        "    targets.append(stock_data['Return'].values[i+1])\n",
        "\n",
        "features = np.array(features)\n",
        "targets = np.array(targets)\n",
        "\n",
        "# Convert to PyTorch tensors\n",
        "features_tensor = torch.tensor(features, dtype=torch.float32)\n",
        "targets_tensor = torch.tensor(targets, dtype=torch.float32).view(-1, 1)\n",
        "\n",
        "# Create DataLoader\n",
        "dataset = TensorDataset(features_tensor, targets_tensor)\n",
        "dataloader = DataLoader(dataset, batch_size=64, shuffle=True)\n",
        "\n",
        "import torch.nn as nn\n",
        "import torch.nn.functional as F\n",
        "\n",
        "class MDN(nn.Module):\n",
        "    def __init__(self, input_dim, output_dim, num_mixtures):\n",
        "        super(MDN, self).__init__()\n",
        "        self.num_mixtures = num_mixtures\n",
        "\n",
        "        self.fc1 = nn.Linear(input_dim, 128)\n",
        "        self.fc2 = nn.Linear(128, 128)\n",
        "        self.fc3 = nn.Linear(128, num_mixtures * 3)\n",
        "\n",
        "    def forward(self, x):\n",
        "        x = F.relu(self.fc1(x))\n",
        "        x = F.relu(self.fc2(x))\n",
        "        x = self.fc3(x)\n",
        "\n",
        "        pi = x[:, :self.num_mixtures]\n",
        "        sigma = x[:, self.num_mixtures:2*self.num_mixtures]\n",
        "        mu = x[:, 2*self.num_mixtures:]\n",
        "\n",
        "        pi = F.softmax(pi, dim=1)\n",
        "        sigma = torch.exp(sigma)\n",
        "\n",
        "        return pi, sigma, mu\n",
        "\n",
        "def mdn_loss(pi, sigma, mu, y):\n",
        "    m = torch.distributions.Normal(loc=mu, scale=sigma)\n",
        "    y = y.expand_as(mu)\n",
        "    log_prob = m.log_prob(y)\n",
        "    log_prob = torch.logsumexp(log_prob + torch.log(pi), dim=1)\n",
        "    return -torch.mean(log_prob)\n",
        "\n",
        "# Model and optimizer\n",
        "model = MDN(input_dim=window_size, output_dim=1, num_mixtures=5)\n",
        "optimizer = torch.optim.Adam(model.parameters(), lr=0.001)\n",
        "\n",
        "# Training loop\n",
        "epochs = 1000\n",
        "for epoch in range(epochs):\n",
        "    for batch_x, batch_y in dataloader:\n",
        "        optimizer.zero_grad()\n",
        "        pi, sigma, mu = model(batch_x)\n",
        "\n",
        "        if torch.isnan(pi).any() or torch.isnan(sigma).any() or torch.isnan(mu).any():\n",
        "            print(f\"NaN detected in outputs at epoch {epoch}\")\n",
        "            continue\n",
        "\n",
        "        sigma = torch.clamp(sigma, min=1e-6)  # Clamp sigma to prevent it from being too small\n",
        "\n",
        "        loss = mdn_loss(pi, sigma, mu, batch_y)\n",
        "\n",
        "        if torch.isnan(loss).any():\n",
        "            print(f\"NaN detected in loss at epoch {epoch}\")\n",
        "            continue\n",
        "\n",
        "        loss.backward()\n",
        "\n",
        "        torch.nn.utils.clip_grad_norm_(model.parameters(), max_norm=1.0)\n",
        "\n",
        "        optimizer.step()\n",
        "\n",
        "    if epoch % 100 == 0:\n",
        "        print(f\"Epoch {epoch}, Loss: {loss.item()}\")\n",
        "\n",
        "# Predict using the trained MDN\n",
        "model.eval()\n",
        "with torch.no_grad():\n",
        "    x_test_tensor = torch.tensor(features, dtype=torch.float32)\n",
        "    pi, sigma, mu = model(x_test_tensor)\n",
        "\n",
        "pi = pi.numpy()\n",
        "sigma = sigma.numpy()\n",
        "mu = mu.numpy()\n",
        "\n",
        "# Sample from the predicted mixture model\n",
        "samples = np.zeros(targets.shape)\n",
        "for i in range(targets.shape[0]):\n",
        "    if np.isnan(pi[i]).any():\n",
        "        print(f\"NaN detected in pi at index {i}\")\n",
        "        continue\n",
        "\n",
        "    component = np.random.choice(np.arange(5), p=pi[i])\n",
        "    samples[i] = np.random.normal(mu[i, component], sigma[i, component])\n",
        "\n",
        "plt.figure(figsize=(14, 7))\n",
        "plt.plot(targets, label='True Returns')\n",
        "plt.plot(samples, label='MDN Predicted Returns', alpha=0.7)\n",
        "plt.legend()\n",
        "plt.show()\n"
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "CeFTTPKlOL-c"
      },
      "execution_count": 25,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "TVSTegoMTNqQ"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}