{ "cells": [ { "cell_type": "markdown", "id": "f2e5a440", "metadata": {}, "source": [ "# Classifying a non-linear dataset: A MerLin introduction from installation to classification\n", "\n", "This notebook will guide you to classify the non-linear circles dataset starting from the installation of ``MerLin``." ] }, { "cell_type": "markdown", "id": "29d1d6b1", "metadata": {}, "source": [ "Lets first install MerLin with the following cell." ] }, { "cell_type": "code", "execution_count": null, "id": "d657ecd6", "metadata": {}, "outputs": [], "source": [ "%pip install merlinquantum" ] }, { "cell_type": "markdown", "id": "28313d06", "metadata": {}, "source": [ "## 1. Imports\n", "\n", "Lets first import some packages, especially the ``merlin`` package" ] }, { "cell_type": "code", "execution_count": 100, "id": "c0c4b941", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "from matplotlib.colors import ListedColormap\n", "import merlin\n", "import numpy as np\n", "from sklearn.datasets import make_circles\n", "from sklearn.model_selection import train_test_split\n", "import torch" ] }, { "cell_type": "markdown", "id": "d07bb2ee", "metadata": {}, "source": [ "## 2. Generate the dataset" ] }, { "cell_type": "markdown", "id": "5e98000b", "metadata": {}, "source": [ "We will use sklearn's circles dataset. It is a 2 feature, 2 class non-linear dataset. We will plot the dataset.\n", "\n", "\n", "We will normalize the dataset to obtain better results. Indeed, in a angle-encoding paradigm (which will be used here), for an optimal performance, the values need to be normalized or scaled in a $[0,\\pi)$ interval." ] }, { "cell_type": "code", "execution_count": 149, "id": "7bba4ab3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dataset = make_circles(n_samples=500)\n", "X = dataset[0]\n", "y = dataset[1]\n", "\n", "min_vals = X.min(axis=0, keepdims=True)\n", "max_vals = X.max(axis=0, keepdims=True)\n", "X = (X - min_vals) / np.clip(max_vals - min_vals, a_min=1e-6, a_max=None)\n", "\n", "# Plotting the dataset\n", "class_1 = []\n", "class_2 = []\n", "\n", "for features, label in zip(X, y, strict=True):\n", " if label == 0:\n", " class_1.append(features)\n", " else:\n", " class_2.append(features)\n", "\n", "class_1 = np.array(class_1)\n", "class_2 = np.array(class_2)\n", "\n", "plt.scatter(class_1[:, 0], class_1[:, 1], s=10, color=\"tab:blue\", alpha=0.7)\n", "plt.scatter(class_2[:, 0], class_2[:, 1], s=10, color=\"tab:red\", alpha=0.7)\n", "plt.xlabel(\"x1\")\n", "plt.ylabel(\"x2\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1a9b3b26", "metadata": {}, "source": [ "## 3. Prepare the dataset\n", "\n", "We will format the data to have it as tensors and split the dataset into a train and test set." ] }, { "cell_type": "code", "execution_count": 180, "id": "bcbd08ae", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train size: 425 samples\n", "Test size: 75 samples\n" ] } ], "source": [ "X_train, X_test, y_train, y_test = train_test_split(\n", " X,\n", " y,\n", " test_size=0.15,\n", " stratify=y,\n", " random_state=42,\n", ")\n", "\n", "X_train = torch.tensor(X_train, dtype=torch.float32)\n", "X_test = torch.tensor(X_test, dtype=torch.float32)\n", "y_train = torch.tensor(y_train, dtype=torch.long)\n", "y_test = torch.tensor(y_test, dtype=torch.long)\n", "\n", "print(f\"Train size: {X_train.shape[0]} samples\")\n", "print(f\"Test size: {X_test.shape[0]} samples\")\n" ] }, { "cell_type": "markdown", "id": "86b43354", "metadata": {}, "source": [ "## 4. Create a simple MerLin quantum layer\n", "\n", "It is now time to use MerLin. We will use a quantum layer to do the classification of the previous dataset. The simplest way to do so is to use the ``QuantumLayer``'s simple method. The input size is the number of features." ] }, { "cell_type": "code", "execution_count": null, "id": "798b556a", "metadata": {}, "outputs": [], "source": [ "layer = merlin.QuantumLayer.simple(input_size=2,output_size=2)" ] }, { "cell_type": "markdown", "id": "b03a4fff", "metadata": {}, "source": [ "## 5. Training the layer\n", "\n", "Since MerLin plugs into pytorch (a ``QuantumLayer`` is a ``torch.nn.Module``), the training of the quantum model is the same as a regular pytorch module. Here is how to implement a simple training loop.\n", "\n", "We will use the Adam optimizer, the cross-entropy loss function, a learning rate of 0.05 and 75 epochs.\n", "\n", "The training and test loss and accuracies are plotted below." ] }, { "cell_type": "code", "execution_count": 182, "id": "951c8f9d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "epochs=250\n", "lr=0.02\n", "optimizer = torch.optim.Adam(layer.parameters(), lr=lr)\n", "\n", "train_accuracies = []\n", "train_losses = []\n", "test_accuracies = []\n", "test_losses = []\n", "\n", "for _ in range(epochs):\n", " #Train the model\n", " layer.train()\n", " optimizer.zero_grad()\n", " logits = layer(X_train)\n", " loss = torch.nn.functional.cross_entropy(logits, y_train)\n", " loss.backward()\n", " optimizer.step()\n", "\n", " #Evaluate the model on the train set\n", " train_preds = logits.argmax(dim=1)\n", " train_acc = (train_preds == y_train).float().mean().item()\n", " train_accuracies.append(train_acc)\n", " train_losses.append(loss.item())\n", "\n", " # Evaluate the accuracy of the model on the test set\n", " layer.eval()\n", " logits = layer(X_test)\n", " test_preds = logits.argmax(dim=1)\n", " test_acc = (test_preds == y_test).float().mean().item()\n", " test_accuracies.append(test_acc)\n", " with torch.no_grad():\n", " loss = torch.nn.functional.cross_entropy(logits, y_test)\n", " test_losses.append(loss.item())\n", " \n", "\n", "epoch_range = range(1, epochs + 1)\n", "\n", "# Accuracy plot\n", "plt.figure(figsize=(8, 5))\n", "plt.plot(epoch_range, train_accuracies, label=\"Train accuracy\")\n", "plt.plot(epoch_range, test_accuracies, label=\"Test accuracy\")\n", "plt.xlabel(\"Epochs\")\n", "plt.ylabel(\"Accuracy\")\n", "plt.legend()\n", "plt.show()\n", "\n", "# Loss plot\n", "plt.figure(figsize=(8, 5))\n", "plt.plot(epoch_range, train_losses, label=\"Train loss\")\n", "plt.plot(epoch_range, test_losses, label=\"Test loss\")\n", "plt.xlabel(\"Epochs\")\n", "plt.ylabel(\"Loss\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "cba0b494", "metadata": {}, "source": [ "## 6. Evaluate the model\n", "\n", "Lets check the performance of the model just a like a regular pytorch module." ] }, { "cell_type": "code", "execution_count": 183, "id": "a7882fa1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The accuracy of the model on the training set is 0.7270588278770447\n", "The accuracy of the model on the test set is 0.8133333325386047\n" ] } ], "source": [ "layer.eval()\n", "with torch.no_grad():\n", " train_preds = layer(X_train).argmax(dim=1)\n", " test_preds = layer(X_test).argmax(dim=1)\n", " train_acc = (train_preds == y_train).float().mean().item()\n", " test_acc = (test_preds == y_test).float().mean().item()\n", "\n", "print(f\"The accuracy of the model on the training set is {train_acc}\")\n", "print(f\"The accuracy of the model on the test set is {test_acc}\")" ] }, { "cell_type": "markdown", "id": "eae25639", "metadata": {}, "source": [ "## 7. Visualize the classification results (decision boundary)\n", "\n", "To better visualize the performance of our quantum model, lets plot the decision boundary." ] }, { "cell_type": "code", "execution_count": 184, "id": "1b160df1", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot range from full dataset\n", "x_min, x_max = X[:, 0].min() - 0.1, X[:, 0].max() + 0.1\n", "y_min, y_max = X[:, 1].min() - 0.1, X[:, 1].max() + 0.1\n", "\n", "# Grid\n", "xx, yy = np.meshgrid(\n", " np.linspace(x_min, x_max, 300),\n", " np.linspace(y_min, y_max, 300)\n", ")\n", "grid = np.c_[xx.ravel(), yy.ravel()]\n", "grid_tensor = torch.tensor(grid, dtype=torch.float32)\n", "\n", "# Predict on grid\n", "layer.eval()\n", "with torch.no_grad():\n", " out = layer(grid_tensor)\n", " Z = torch.argmax(out, dim=1)\n", "\n", "Z = Z.cpu().numpy().reshape(xx.shape)\n", "\n", "# Convert tensors once\n", "X_train_np = X_train.detach().cpu().numpy()\n", "X_test_np = X_test.detach().cpu().numpy()\n", "\n", "# Background\n", "bg_cmap = ListedColormap([\"#e8b3b3\", \"#b6b6e6\"])\n", "plt.figure(figsize=(8.4, 6.0))\n", "plt.contourf(xx, yy, Z, levels=np.arange(-0.5, 2, 1), cmap=bg_cmap, alpha=0.8)\n", "\n", "# Train points\n", "plt.scatter(\n", " X_train_np[y_train == 0, 0], X_train_np[y_train == 0, 1],\n", " c=\"orangered\", s=35, marker=\"o\", label=\"Class 0 - Train\"\n", ")\n", "plt.scatter(\n", " X_train_np[y_train == 1, 0], X_train_np[y_train == 1, 1],\n", " c=\"blue\", s=35, marker=\"o\", label=\"Class 1 - Train\"\n", ")\n", "\n", "# Test points\n", "plt.scatter(\n", " X_test_np[y_test == 0, 0], X_test_np[y_test == 0, 1],\n", " c=\"red\", s=40, marker=\"x\", linewidths=1.5, label=\"Class 0 - Test\"\n", ")\n", "plt.scatter(\n", " X_test_np[y_test == 1, 0], X_test_np[y_test == 1, 1],\n", " c=\"blue\", s=40, marker=\"x\", linewidths=1.5, label=\"Class 1 - Test\"\n", ")\n", "\n", "# Accuracy text\n", "plt.text(\n", " 0.05, 0.95, f\"{test_acc:.3f}\",\n", " transform=plt.gca().transAxes,\n", " fontsize=40, fontweight=\"bold\",\n", " ha=\"left\", va=\"top\", color=\"black\"\n", ")\n", "\n", "plt.title(\"Decision boundary\", fontsize=17)\n", "plt.xlabel(\"x1\", fontsize=12)\n", "plt.ylabel(\"x2\", fontsize=12)\n", "plt.xlim(x_min, x_max)\n", "plt.ylim(y_min, y_max)\n", "plt.gca().set_aspect(\"equal\", adjustable=\"box\")\n", "plt.legend(loc=\"upper right\", fontsize=11, framealpha=0.95)\n", "plt.tight_layout()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "pip_test", "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": "3.12.12" } }, "nbformat": 4, "nbformat_minor": 5 }