{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "a77e71db",
   "metadata": {},
   "source": [
    "# Sesi 1 — Memahami *Artificial Neural Network* (ANN)\n",
    "\n",
    "**Workshop Deep Learning untuk Mahasiswa Teknik Telekomunikasi — ITERA**\n",
    "\n",
    "Notebook ini menemani slide Sesi 1. Tujuannya **memahami cara kerja ANN dari dalam**, bukan melatih model sungguhan — *pipeline* training lengkap (NSL-KDD) akan kita tulis bersama sebagai file `.py`.\n",
    "\n",
    "| Bagian | Isi |\n",
    "|---|---|\n",
    "| 1 | Satu neuron: penjumlahan berbobot + aktivasi |\n",
    "| 2 | Fungsi aktivasi & mengapa perlu non-linearitas |\n",
    "| 3 | *Feed forward* jaringan 2-2-1 & *loss function* |\n",
    "| 4 | *Backpropagation* manual, lalu dicek dengan PyTorch *autograd* |\n",
    "| 5 | *Gradient descent* & *learning rate* |\n",
    "| 6 | Melatih MLP kecil dengan PyTorch (data sintetis) |\n",
    "| 7 | Jembatan ke *pipeline* `.py` deteksi intrusi |\n",
    "\n",
    "> Semua data di notebook ini **sintetis** (dibangkitkan sendiri) supaya fokus pada konsep. Contoh angka sama persis dengan slide.\n",
    "\n",
    "**Cara menjalankan:** `uv sync` lalu `uv run jupyter lab`, buka notebook ini, dan jalankan sel dari atas ke bawah (`Shift + Enter`)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "70f63caf",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:32.165059Z",
     "iopub.status.busy": "2026-09-28T03:48:32.164977Z",
     "iopub.status.idle": "2026-09-28T03:48:33.678558Z",
     "shell.execute_reply": "2026-09-28T03:48:33.677993Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "NumPy 2.4.6 | PyTorch 2.14.0\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import torch\n",
    "import torch.nn as nn\n",
    "\n",
    "# Palet warna ITERA (sama dengan slide)\n",
    "NAVY, GOLD, RED, TEAL, GREEN, GRAY = \"#0B1F3A\", \"#D4A017\", \"#C8102E\", \"#1E8C8C\", \"#2E9E6B\", \"#5A5A5A\"\n",
    "plt.rcParams.update({\"figure.dpi\": 110, \"axes.spines.top\": False, \"axes.spines.right\": False, \"axes.grid\": True, \"grid.alpha\": 0.25})\n",
    "np.set_printoptions(precision=4, suppress=True)\n",
    "\n",
    "SEED = 42\n",
    "rng = np.random.default_rng(SEED)\n",
    "torch.manual_seed(SEED)\n",
    "print(\"NumPy\", np.__version__, \"| PyTorch\", torch.__version__)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "642b259c",
   "metadata": {},
   "source": [
    "---\n",
    "## 1. Satu Neuron\n",
    "\n",
    "Sebuah neuron buatan melakukan dua langkah:\n",
    "\n",
    "$$z = \\sum_{i=1}^{n} w_i x_i + b \\qquad\\qquad \\hat{y} = f(z)$$\n",
    "\n",
    "- $x_i$ — **input** (fitur), mis. SNR dan RSSI\n",
    "- $w_i$ — **bobot**: seberapa penting fitur tersebut\n",
    "- $b$ — **bias**: menggeser ambang keputusan\n",
    "- $f$ — **fungsi aktivasi**, di sini sigmoid agar output berupa peluang 0–1\n",
    "\n",
    "### 1.1 Normalisasi input\n",
    "\n",
    "SNR (0–30 dB) dan RSSI (−100 s.d. −40 dBm) punya skala berbeda. Kita samakan ke rentang 0–1 dengan *min-max scaling*:\n",
    "\n",
    "$$x' = \\frac{x - x_{\\min}}{x_{\\max} - x_{\\min}}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "b37d2b9e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:33.680014Z",
     "iopub.status.busy": "2026-09-28T03:48:33.679861Z",
     "iopub.status.idle": "2026-09-28T03:48:33.682467Z",
     "shell.execute_reply": "2026-09-28T03:48:33.682013Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "SNR  24 dB  -> x1 = 0.8\n",
      "RSSI -64 dBm -> x2 = 0.6\n"
     ]
    }
   ],
   "source": [
    "def min_max(x, x_min, x_max):\n",
    "    return (x - x_min) / (x_max - x_min)\n",
    "\n",
    "snr_db, rssi_dbm = 24, -64\n",
    "x1 = min_max(snr_db, 0, 30)       # SNR 0..30 dB\n",
    "x2 = min_max(rssi_dbm, -100, -40)  # RSSI -100..-40 dBm\n",
    "print(f\"SNR  {snr_db} dB  -> x1 = {x1:.1f}\")\n",
    "print(f\"RSSI {rssi_dbm} dBm -> x2 = {x2:.1f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f56afcb4",
   "metadata": {},
   "source": [
    "### 1.2 Neuron memutuskan kualitas link\n",
    "\n",
    "Dengan bobot $w = (2.0,\\ 1.5)$ dan bias $b = -1.5$ (angka di slide):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "add42948",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:33.683617Z",
     "iopub.status.busy": "2026-09-28T03:48:33.683519Z",
     "iopub.status.idle": "2026-09-28T03:48:33.686264Z",
     "shell.execute_reply": "2026-09-28T03:48:33.685820Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "z     = 2.0*0.8 + 1.5*0.6 - 1.5 = 1.000\n",
      "y_hat = sigmoid(1.0) = 0.731  ->  prediksi: BAIK\n"
     ]
    }
   ],
   "source": [
    "def sigmoid(z):\n",
    "    return 1 / (1 + np.exp(-z))\n",
    "\n",
    "def neuron(x, w, b):\n",
    "    z = np.dot(w, x) + b     # langkah 1: penjumlahan berbobot\n",
    "    return z, sigmoid(z)      # langkah 2: aktivasi\n",
    "\n",
    "x = np.array([0.8, 0.6])\n",
    "w = np.array([2.0, 1.5])\n",
    "b = -1.5\n",
    "\n",
    "z, y_hat = neuron(x, w, b)\n",
    "print(f\"z     = 2.0*0.8 + 1.5*0.6 - 1.5 = {z:.3f}\")\n",
    "print(f\"y_hat = sigmoid({z:.1f}) = {y_hat:.3f}  ->  prediksi: {'BAIK' if y_hat > 0.5 else 'BURUK'}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "960ff829",
   "metadata": {},
   "source": [
    "### 1.3 Batas keputusan (*decision boundary*)\n",
    "\n",
    "Neuron memprediksi \"baik\" jika $\\hat{y} > 0.5$, yaitu saat $z > 0$. Garis $2.0\\,x_1 + 1.5\\,x_2 - 1.5 = 0$ membelah bidang menjadi dua wilayah. Mari lihat pada **data link sintetis**:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "3b553e17",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:33.687525Z",
     "iopub.status.busy": "2026-09-28T03:48:33.687420Z",
     "iopub.status.idle": "2026-09-28T03:48:33.810187Z",
     "shell.execute_reply": "2026-09-28T03:48:33.809743Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 605x495 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Data sintetis: 60 link baik dan 60 link buruk (SNR & RSSI ternormalisasi)\n",
    "n = 60\n",
    "good = np.column_stack([rng.normal(0.72, 0.12, n), rng.normal(0.65, 0.13, n)])\n",
    "bad  = np.column_stack([rng.normal(0.30, 0.13, n), rng.normal(0.32, 0.13, n)])\n",
    "\n",
    "def plot_boundary(ax, predict_fn, title):\n",
    "    # warnai bidang sesuai prediksi model\n",
    "    g = np.linspace(0, 1, 200)\n",
    "    xx, yy = np.meshgrid(g, g)\n",
    "    grid = np.column_stack([xx.ravel(), yy.ravel()])\n",
    "    p = predict_fn(grid).reshape(xx.shape)\n",
    "    ax.contourf(xx, yy, p, levels=[0, 0.5, 1], colors=[RED, TEAL], alpha=0.12)\n",
    "    ax.contour(xx, yy, p, levels=[0.5], colors=[NAVY], linewidths=2)\n",
    "    ax.set_xlim(0, 1); ax.set_ylim(0, 1)\n",
    "    ax.set_xlabel(\"SNR (ternormalisasi)\"); ax.set_ylabel(\"RSSI (ternormalisasi)\")\n",
    "    ax.set_title(title)\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(5.5, 4.5))\n",
    "plot_boundary(ax, lambda X: sigmoid(X @ w + b), \"Satu neuron = batas lurus\")\n",
    "ax.scatter(*bad.T, color=RED, s=18, label=\"buruk (y=0)\")\n",
    "ax.scatter(*good.T, color=TEAL, s=18, label=\"baik (y=1)\")\n",
    "ax.scatter(*x, marker=\"*\", s=300, color=GOLD, edgecolor=NAVY, zorder=5, label=\"x = (0.8, 0.6)\")\n",
    "ax.legend(loc=\"lower right\", fontsize=8)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ca2354be",
   "metadata": {},
   "source": [
    "> **Coba sendiri:** ubah `w` dan `b` di sel sebelumnya (mis. `b = -2.5`), jalankan ulang kedua sel, dan perhatikan garisnya bergeser. *Training* pada dasarnya adalah mencari `w` dan `b` terbaik **secara otomatis**."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a7b755db",
   "metadata": {},
   "source": [
    "---\n",
    "## 2. Fungsi Aktivasi\n",
    "\n",
    "### 2.1 Empat fungsi populer & turunannya\n",
    "\n",
    "Turunan penting karena *backpropagation* mengalikan turunan dari lapisan ke lapisan."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "348dda5f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:33.811592Z",
     "iopub.status.busy": "2026-09-28T03:48:33.811491Z",
     "iopub.status.idle": "2026-09-28T03:48:34.041727Z",
     "shell.execute_reply": "2026-09-28T03:48:34.041207Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1430x550 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Turunan sigmoid maksimum: 0.25\n"
     ]
    }
   ],
   "source": [
    "def step(z):  return np.where(z >= 0, 1.0, 0.0)\n",
    "def tanh(z):  return np.tanh(z)\n",
    "def relu(z):  return np.maximum(0, z)\n",
    "\n",
    "def d_sigmoid(z): s = sigmoid(z); return s * (1 - s)\n",
    "def d_tanh(z):    return 1 - np.tanh(z) ** 2\n",
    "def d_relu(z):    return (z > 0).astype(float)\n",
    "def d_step(z):    return np.zeros_like(z)\n",
    "\n",
    "zs = np.linspace(-5, 5, 400)\n",
    "funcs = [(\"Step\", step, d_step, GRAY), (\"Sigmoid\", sigmoid, d_sigmoid, NAVY),\n",
    "         (\"Tanh\", tanh, d_tanh, TEAL), (\"ReLU\", relu, d_relu, RED)]\n",
    "\n",
    "fig, axes = plt.subplots(2, 4, figsize=(13, 5), sharex=True)\n",
    "for j, (name, f, df, c) in enumerate(funcs):\n",
    "    axes[0, j].plot(zs, f(zs), color=c, lw=2.5); axes[0, j].set_title(name)\n",
    "    axes[1, j].plot(zs, df(zs), color=c, lw=2.5, ls=\"--\"); axes[1, j].set_xlabel(\"z\")\n",
    "axes[0, 0].set_ylabel(\"f(z)\"); axes[1, 0].set_ylabel(\"f'(z)\")\n",
    "plt.tight_layout(); plt.show()\n",
    "\n",
    "print(\"Turunan sigmoid maksimum:\", d_sigmoid(np.array(0.0)))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "980a6c73",
   "metadata": {},
   "source": [
    "### 2.2 *Vanishing gradient*\n",
    "\n",
    "Turunan sigmoid **paling besar 0.25**. Jika jaringan punya 10 lapisan sigmoid, gradien yang sampai ke lapisan pertama bisa dikalikan $0.25^{10}$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "8412340c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:34.043421Z",
     "iopub.status.busy": "2026-09-28T03:48:34.043287Z",
     "iopub.status.idle": "2026-09-28T03:48:34.045332Z",
     "shell.execute_reply": "2026-09-28T03:48:34.044965Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 1 lapisan sigmoid: faktor gradien <= 0.25000000   |  ReLU (z>0): 1\n",
      " 3 lapisan sigmoid: faktor gradien <= 0.01562500   |  ReLU (z>0): 1\n",
      " 5 lapisan sigmoid: faktor gradien <= 0.00097656   |  ReLU (z>0): 1\n",
      "10 lapisan sigmoid: faktor gradien <= 0.00000095   |  ReLU (z>0): 1\n"
     ]
    }
   ],
   "source": [
    "for layers in [1, 3, 5, 10]:\n",
    "    print(f\"{layers:>2} lapisan sigmoid: faktor gradien <= {0.25 ** layers:.8f}   |  ReLU (z>0): {1.0 ** layers:.0f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a197380a",
   "metadata": {},
   "source": [
    "Gradien hampir nol → lapisan awal praktis **berhenti belajar**. ReLU meneruskan gradien apa adanya (×1) untuk $z > 0$, karena itu ReLU menjadi pilihan *default* di *hidden layer*.\n",
    "\n",
    "### 2.3 Tanpa aktivasi, lapisan bertumpuk tetap linear\n",
    "\n",
    "Dua lapisan linear $W_2(W_1 x)$ **sama saja** dengan satu lapisan $W' x$ dengan $W' = W_2 W_1$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "e04f502b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:34.046546Z",
     "iopub.status.busy": "2026-09-28T03:48:34.046467Z",
     "iopub.status.idle": "2026-09-28T03:48:34.049125Z",
     "shell.execute_reply": "2026-09-28T03:48:34.048735Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "W2 (W1 x)  = [0.2104]\n",
      "(W2 W1) x  = [0.2104] -> identik! Menumpuk lapisan linear percuma.\n",
      "W2 ReLU(W1 x) = [-0.2661] -> berbeda: ReLU membuat model non-linear\n"
     ]
    }
   ],
   "source": [
    "W1 = rng.normal(size=(4, 2))   # lapisan 1: 2 -> 4\n",
    "W2 = rng.normal(size=(1, 4))   # lapisan 2: 4 -> 1\n",
    "x_demo = np.array([0.8, 0.6])\n",
    "\n",
    "dua_lapis = W2 @ (W1 @ x_demo)\n",
    "satu_lapis = (W2 @ W1) @ x_demo\n",
    "print(\"W2 (W1 x)  =\", dua_lapis)\n",
    "print(\"(W2 W1) x  =\", satu_lapis, \"-> identik! Menumpuk lapisan linear percuma.\")\n",
    "\n",
    "dengan_relu = W2 @ relu(W1 @ x_demo)\n",
    "print(\"W2 ReLU(W1 x) =\", dengan_relu, \"-> berbeda: ReLU membuat model non-linear\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e7e34856",
   "metadata": {},
   "source": [
    "### 2.4 Softmax untuk multi-kelas\n",
    "\n",
    "Untuk $K$ kelas (mis. Normal / DoS / Probe), *output layer* memakai softmax agar menghasilkan distribusi peluang yang totalnya 1:\n",
    "\n",
    "$$\\text{softmax}(z_k) = \\frac{e^{z_k}}{\\sum_j e^{z_j}}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "83f58961",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:34.050336Z",
     "iopub.status.busy": "2026-09-28T03:48:34.050247Z",
     "iopub.status.idle": "2026-09-28T03:48:34.052746Z",
     "shell.execute_reply": "2026-09-28T03:48:34.052368Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Normal  0.659\n",
      "DoS     0.242\n",
      "Probe   0.099\n",
      "Total   1.0\n"
     ]
    }
   ],
   "source": [
    "def softmax(z):\n",
    "    e = np.exp(z - np.max(z))   # dikurangi max agar stabil secara numerik\n",
    "    return e / e.sum()\n",
    "\n",
    "logits = np.array([2.0, 1.0, 0.1])\n",
    "probs = softmax(logits)\n",
    "for kelas, p in zip([\"Normal\", \"DoS\", \"Probe\"], probs):\n",
    "    print(f\"{kelas:<7} {p:.3f}\")\n",
    "print(\"Total  \", probs.sum())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cc5c7884",
   "metadata": {},
   "source": [
    "---\n",
    "## 3. *Feed Forward* Jaringan 2-2-1\n",
    "\n",
    "Kita pakai jaringan yang sama dengan slide: 2 input (SNR, RSSI) → 2 neuron *hidden* (ReLU) → 1 output (sigmoid).\n",
    "\n",
    "$$h = \\text{ReLU}(W^{(1)} x + b^{(1)}) \\qquad \\hat{y} = \\sigma(w^{(2)} \\cdot h + b^{(2)})$$\n",
    "\n",
    "$$W^{(1)} = \\begin{pmatrix} 0.5 & -0.3 \\\\ 0.2 & 0.8 \\end{pmatrix},\\quad b^{(1)} = \\begin{pmatrix} 0.1 \\\\ -0.2 \\end{pmatrix},\\quad w^{(2)} = (1.0,\\ -0.5),\\quad b^{(2)} = 0.2$$\n",
    "\n",
    "Input $x = (0.8,\\ 0.6)$ dengan label $y = 1$ (link baik)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "8a895082",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:34.054317Z",
     "iopub.status.busy": "2026-09-28T03:48:34.054240Z",
     "iopub.status.idle": "2026-09-28T03:48:34.057572Z",
     "shell.execute_reply": "2026-09-28T03:48:34.057198Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "z1 (hidden)  = [0.32 0.44]\n",
      "h = ReLU(z1) = [0.32 0.44]\n",
      "z2 (output)  = 0.30\n",
      "y_hat        = 0.574   (target y = 1)\n"
     ]
    }
   ],
   "source": [
    "W1 = np.array([[0.5, -0.3],\n",
    "               [0.2,  0.8]])\n",
    "b1 = np.array([0.1, -0.2])\n",
    "w2 = np.array([1.0, -0.5])\n",
    "b2 = 0.2\n",
    "\n",
    "x = np.array([0.8, 0.6])\n",
    "y = 1.0\n",
    "\n",
    "def forward(x, W1, b1, w2, b2):\n",
    "    z1 = W1 @ x + b1        # hidden: perkalian matriks + bias\n",
    "    h = relu(z1)            # aktivasi ReLU\n",
    "    z2 = w2 @ h + b2        # output\n",
    "    y_hat = sigmoid(z2)     # aktivasi sigmoid\n",
    "    return z1, h, z2, y_hat\n",
    "\n",
    "z1, h, z2, y_hat = forward(x, W1, b1, w2, b2)\n",
    "print(\"z1 (hidden)  =\", z1)\n",
    "print(\"h = ReLU(z1) =\", h)\n",
    "print(f\"z2 (output)  = {z2:.2f}\")\n",
    "print(f\"y_hat        = {y_hat:.3f}   (target y = {y:.0f})\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d2931429",
   "metadata": {},
   "source": [
    "### 3.1 Mengukur kesalahan: *loss function*\n",
    "\n",
    "- **MSE** (regresi): $L = (y - \\hat{y})^2$\n",
    "- **Binary Cross-Entropy** (klasifikasi biner): $L = -[\\,y \\ln \\hat{y} + (1-y)\\ln(1-\\hat{y})\\,]$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "d069af3e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:34.058965Z",
     "iopub.status.busy": "2026-09-28T03:48:34.058870Z",
     "iopub.status.idle": "2026-09-28T03:48:34.061027Z",
     "shell.execute_reply": "2026-09-28T03:48:34.060621Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MSE = 0.181\n",
      "BCE = 0.554\n"
     ]
    }
   ],
   "source": [
    "def mse(y, y_hat): return (y - y_hat) ** 2\n",
    "def bce(y, y_hat): return -(y * np.log(y_hat) + (1 - y) * np.log(1 - y_hat))\n",
    "\n",
    "print(f\"MSE = {mse(y, y_hat):.3f}\")\n",
    "print(f\"BCE = {bce(y, y_hat):.3f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b2308709",
   "metadata": {},
   "source": [
    "BCE **menghukum keras** prediksi yang yakin tapi salah. Bandingkan untuk target $y = 1$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "b963a250",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:34.062199Z",
     "iopub.status.busy": "2026-09-28T03:48:34.062111Z",
     "iopub.status.idle": "2026-09-28T03:48:34.304358Z",
     "shell.execute_reply": "2026-09-28T03:48:34.303816Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 660x396 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "y_hat = 0.990   BCE = 0.010\n",
      "y_hat = 0.574   BCE = 0.554\n",
      "y_hat = 0.500   BCE = 0.693\n",
      "y_hat = 0.010   BCE = 4.605\n"
     ]
    }
   ],
   "source": [
    "p = np.linspace(0.01, 0.99, 200)\n",
    "fig, ax = plt.subplots(figsize=(6, 3.6))\n",
    "ax.plot(p, bce(1, p), color=RED, lw=2.5, label=\"BCE\")\n",
    "ax.plot(p, mse(1, p), color=NAVY, lw=2.5, label=\"MSE\")\n",
    "ax.scatter([y_hat], [bce(y, y_hat)], color=GOLD, edgecolor=NAVY, s=90, zorder=5, label=f\"prediksi kita ({y_hat:.3f})\")\n",
    "ax.set_xlabel(\"prediksi $\\\\hat{y}$ (target y = 1)\"); ax.set_ylabel(\"loss\"); ax.legend()\n",
    "plt.show()\n",
    "\n",
    "for p_ in [0.99, y_hat, 0.5, 0.01]:\n",
    "    print(f\"y_hat = {p_:<6.3f}  BCE = {bce(1, p_):.3f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eb2d2299",
   "metadata": {},
   "source": [
    "---\n",
    "## 4. *Backpropagation* Manual\n",
    "\n",
    "Pertanyaannya: **bobot mana yang harus diubah, dan seberapa banyak?** Jawabannya adalah gradien $\\partial L / \\partial w$ yang dihitung dengan *chain rule*:\n",
    "\n",
    "$$\\frac{\\partial L}{\\partial w} = \\frac{\\partial L}{\\partial \\hat{y}} \\cdot \\frac{\\partial \\hat{y}}{\\partial z} \\cdot \\frac{\\partial z}{\\partial w}$$\n",
    "\n",
    "Untuk sigmoid + BCE, dua suku pertama menyederhana menjadi $\\partial L / \\partial z_2 = \\hat{y} - y$ (\"prediksi dikurangi target\").\n",
    "\n",
    "### 4.1 Output layer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "477f1c67",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:34.305915Z",
     "iopub.status.busy": "2026-09-28T03:48:34.305819Z",
     "iopub.status.idle": "2026-09-28T03:48:34.308135Z",
     "shell.execute_reply": "2026-09-28T03:48:34.307749Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "delta_out = 0.574 - 1 = -0.426\n",
      "dL/dw2    = [-0.1362 -0.1872]\n",
      "dL/db2    = -0.426\n"
     ]
    }
   ],
   "source": [
    "delta_out = y_hat - y          # dL/dz2\n",
    "grad_w2 = delta_out * h        # dL/dw2 = delta_out * aktivasi asal\n",
    "grad_b2 = delta_out            # dL/db2\n",
    "\n",
    "print(f\"delta_out = {y_hat:.3f} - {y:.0f} = {delta_out:.3f}\")\n",
    "print(\"dL/dw2    =\", grad_w2)\n",
    "print(f\"dL/db2    = {grad_b2:.3f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "707086b6",
   "metadata": {},
   "source": [
    "### 4.2 Hidden layer\n",
    "\n",
    "Error dibagi mundur sesuai bobot yang menghubungkan, dikali turunan ReLU:\n",
    "\n",
    "$$\\delta_j = \\delta_{\\text{out}} \\cdot w^{(2)}_j \\cdot \\text{ReLU}'(z_j) \\qquad \\frac{\\partial L}{\\partial W^{(1)}_{ji}} = \\delta_j \\cdot x_i$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "87fe5fd9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:34.309431Z",
     "iopub.status.busy": "2026-09-28T03:48:34.309337Z",
     "iopub.status.idle": "2026-09-28T03:48:34.311773Z",
     "shell.execute_reply": "2026-09-28T03:48:34.311320Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "delta_hidden = [-0.4256  0.2128]\n",
      "dL/dW1 =\n",
      " [[-0.3404 -0.2553]\n",
      " [ 0.1702  0.1277]]\n",
      "dL/db1 = [-0.4256  0.2128]\n"
     ]
    }
   ],
   "source": [
    "delta_hidden = delta_out * w2 * d_relu(z1)\n",
    "grad_W1 = np.outer(delta_hidden, x)    # baris j, kolom i: delta_j * x_i\n",
    "grad_b1 = delta_hidden\n",
    "\n",
    "print(\"delta_hidden =\", delta_hidden)\n",
    "print(\"dL/dW1 =\\n\", grad_W1)\n",
    "print(\"dL/db1 =\", grad_b1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "93dba897",
   "metadata": {},
   "source": [
    "### 4.3 Update bobot dengan *gradient descent* ($\\eta = 0.5$)\n",
    "\n",
    "$$w \\leftarrow w - \\eta \\frac{\\partial L}{\\partial w}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "2ea3a042",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:34.313048Z",
     "iopub.status.busy": "2026-09-28T03:48:34.312933Z",
     "iopub.status.idle": "2026-09-28T03:48:34.315776Z",
     "shell.execute_reply": "2026-09-28T03:48:34.315333Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "W1 baru =\n",
      " [[ 0.6702 -0.1723]\n",
      " [ 0.1149  0.7362]]\n",
      "b1 baru = [ 0.3128 -0.3064]\n",
      "w2 baru = [ 1.0681 -0.4064]\n",
      "b2 baru = 0.413\n",
      "\n",
      "Sebelum: y_hat = 0.574, BCE = 0.554\n",
      "Sesudah: y_hat = 0.753, BCE = 0.283  <- loss turun hampir setengahnya\n"
     ]
    }
   ],
   "source": [
    "lr = 0.5\n",
    "W1_new = W1 - lr * grad_W1\n",
    "b1_new = b1 - lr * grad_b1\n",
    "w2_new = w2 - lr * grad_w2\n",
    "b2_new = b2 - lr * grad_b2\n",
    "\n",
    "print(\"W1 baru =\\n\", W1_new)\n",
    "print(\"b1 baru =\", b1_new)\n",
    "print(\"w2 baru =\", w2_new)\n",
    "print(f\"b2 baru = {b2_new:.3f}\")\n",
    "\n",
    "_, _, _, y_hat_new = forward(x, W1_new, b1_new, w2_new, b2_new)\n",
    "print(f\"\\nSebelum: y_hat = {y_hat:.3f}, BCE = {bce(y, y_hat):.3f}\")\n",
    "print(f\"Sesudah: y_hat = {y_hat_new:.3f}, BCE = {bce(y, y_hat_new):.3f}  <- loss turun hampir setengahnya\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "28f220fe",
   "metadata": {},
   "source": [
    "### 4.4 Cek dengan PyTorch *autograd*\n",
    "\n",
    "PyTorch menghitung semua gradien di atas **otomatis** dengan `loss.backward()`. Hasilnya harus sama persis dengan perhitungan manual kita:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "5ab5df3f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:34.317039Z",
     "iopub.status.busy": "2026-09-28T03:48:34.316944Z",
     "iopub.status.idle": "2026-09-28T03:48:34.356129Z",
     "shell.execute_reply": "2026-09-28T03:48:34.355651Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "autograd dL/dW1 =\n",
      " [[-0.3404 -0.2553]\n",
      " [ 0.1702  0.1277]]\n",
      "autograd dL/dw2 = [-0.1362 -0.1872]\n",
      "Sama dengan manual? True True True True\n"
     ]
    }
   ],
   "source": [
    "tW1 = torch.tensor(W1, requires_grad=True)\n",
    "tb1 = torch.tensor(b1, requires_grad=True)\n",
    "tw2 = torch.tensor(w2, requires_grad=True)\n",
    "tb2 = torch.tensor(b2, requires_grad=True, dtype=torch.float64)\n",
    "tx, ty = torch.tensor(x), torch.tensor(y, dtype=torch.float64)\n",
    "\n",
    "t_yhat = torch.sigmoid(tw2 @ torch.relu(tW1 @ tx + tb1) + tb2)\n",
    "loss = nn.functional.binary_cross_entropy(t_yhat, ty)\n",
    "loss.backward()   # <- backpropagation otomatis\n",
    "\n",
    "print(\"autograd dL/dW1 =\\n\", tW1.grad.numpy())\n",
    "print(\"autograd dL/dw2 =\", tw2.grad.numpy())\n",
    "print(\"Sama dengan manual?\",\n",
    "      np.allclose(tW1.grad.numpy(), grad_W1), np.allclose(tw2.grad.numpy(), grad_w2),\n",
    "      np.allclose(tb1.grad.numpy(), grad_b1), np.isclose(tb2.grad.item(), grad_b2))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2d4e7bb7",
   "metadata": {},
   "source": [
    "### 4.5 Cek numerik (*gradient checking*)\n",
    "\n",
    "Cara lain memastikan gradien benar: geser satu bobot sedikit ($\\varepsilon$) dan lihat perubahan *loss*:\n",
    "$\\frac{\\partial L}{\\partial w} \\approx \\frac{L(w+\\varepsilon) - L(w-\\varepsilon)}{2\\varepsilon}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "f19be486",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:34.357378Z",
     "iopub.status.busy": "2026-09-28T03:48:34.357287Z",
     "iopub.status.idle": "2026-09-28T03:48:34.359780Z",
     "shell.execute_reply": "2026-09-28T03:48:34.359364Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "numerik dL/dW1[0,0] = -0.340446\n",
      "backprop dL/dW1[0,0] = -0.340446\n"
     ]
    }
   ],
   "source": [
    "eps = 1e-6\n",
    "Wp, Wm = W1.copy(), W1.copy()\n",
    "Wp[0, 0] += eps; Wm[0, 0] -= eps\n",
    "L_plus = bce(y, forward(x, Wp, b1, w2, b2)[3])\n",
    "L_minus = bce(y, forward(x, Wm, b1, w2, b2)[3])\n",
    "print(f\"numerik dL/dW1[0,0] = {(L_plus - L_minus) / (2 * eps):.6f}\")\n",
    "print(f\"backprop dL/dW1[0,0] = {grad_W1[0, 0]:.6f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a6df0fdd",
   "metadata": {},
   "source": [
    "---\n",
    "## 5. *Gradient Descent* & *Learning Rate*\n",
    "\n",
    "Bayangkan *loss* sebagai bukit: gradien menunjukkan arah menanjak, jadi kita melangkah **berlawanan** arah gradien. Besar langkah ditentukan oleh *learning rate* $\\eta$.\n",
    "\n",
    "Contoh sederhana: $L(w) = \\tfrac{1}{2}(w - 2.5)^2$, gradiennya $L'(w) = w - 2.5$, mulai dari $w = -1.5$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "c59f39a6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:34.360935Z",
     "iopub.status.busy": "2026-09-28T03:48:34.360833Z",
     "iopub.status.idle": "2026-09-28T03:48:34.513940Z",
     "shell.execute_reply": "2026-09-28T03:48:34.513478Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "eta = 0.1 (terlalu kecil)    w: -1.50 -> -1.10 -> -0.74 -> -0.42 -> -0.12 -> 0.14 ...\n",
      "eta = 0.6 (pas)              w: -1.50 -> 0.90 -> 1.86 -> 2.24 -> 2.40 -> 2.46 ...\n",
      "eta = 1.95 (terlalu besar)   w: -1.50 -> 6.30 -> -1.11 -> 5.93 -> -0.76 -> 5.60 ...\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1430x396 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def descend(lr, w0=-1.5, steps=8):\n",
    "    ws = [w0]\n",
    "    for _ in range(steps):\n",
    "        grad = ws[-1] - 2.5\n",
    "        ws.append(ws[-1] - lr * grad)\n",
    "    return np.array(ws)\n",
    "\n",
    "loss_1d = lambda w: 0.5 * (w - 2.5) ** 2\n",
    "w_axis = np.linspace(-3, 8, 300)\n",
    "cases = [(\"eta = 0.1 (terlalu kecil)\", 0.1, TEAL), (\"eta = 0.6 (pas)\", 0.6, GREEN), (\"eta = 1.95 (terlalu besar)\", 1.95, RED)]\n",
    "\n",
    "fig, axes = plt.subplots(1, 3, figsize=(13, 3.6), sharey=True)\n",
    "for ax, (title, lr_, c) in zip(axes, cases):\n",
    "    ws = descend(lr_)\n",
    "    ax.plot(w_axis, loss_1d(w_axis), color=NAVY, lw=2)\n",
    "    ax.plot(ws, loss_1d(ws), \"o-\", color=c, ms=6)\n",
    "    ax.set_title(title); ax.set_xlabel(\"w\")\n",
    "    print(f\"{title:<28} w: \" + \" -> \".join(f\"{v:.2f}\" for v in ws[:6]) + \" ...\")\n",
    "axes[0].set_ylabel(\"L(w)\")\n",
    "plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c6cd04f2",
   "metadata": {},
   "source": [
    "- **Terlalu kecil**: aman tapi lambat, butuh banyak langkah.\n",
    "- **Pas**: cepat menuju minimum.\n",
    "- **Terlalu besar**: melompati minimum, bolak-balik, bahkan bisa meledak (*diverge*).\n",
    "\n",
    "> **Coba sendiri:** ubah `1.95` menjadi `2.1` pada daftar `cases`. Apa yang terjadi pada nilai `w`?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7e9caee1",
   "metadata": {},
   "source": [
    "---\n",
    "## 6. Melatih MLP Kecil dengan PyTorch\n",
    "\n",
    "Sekarang kita biarkan PyTorch mencari bobot sendiri. Kita buat **data sintetis yang tidak bisa dipisah garis lurus**: link dianggap baik hanya jika SNR **dan** RSSI berada di \"zona ideal\" (pola seperti XOR/cincin), supaya terlihat mengapa *hidden layer* dibutuhkan.\n",
    "\n",
    "### 6.1 Data sintetis non-linear"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "5cf08fb9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:34.515324Z",
     "iopub.status.busy": "2026-09-28T03:48:34.515230Z",
     "iopub.status.idle": "2026-09-28T03:48:34.575058Z",
     "shell.execute_reply": "2026-09-28T03:48:34.574536Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "train: torch.Size([480, 2])  val: torch.Size([120, 2])  proporsi 'baik': 0.26\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 528x462 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 600\n",
    "X_np = rng.uniform(0, 1, size=(N, 2))\n",
    "# \"baik\" jika titik berada di dalam lingkaran zona ideal (pusat 0.55, 0.55)\n",
    "dist = np.sqrt(((X_np - 0.55) ** 2).sum(axis=1))\n",
    "y_np = (dist < 0.28).astype(np.float32)\n",
    "flip = rng.random(N) < 0.05          # 5% label noise, seperti data nyata\n",
    "y_np[flip] = 1 - y_np[flip]\n",
    "\n",
    "# bagi data: 80% train, 20% validasi\n",
    "idx = rng.permutation(N)\n",
    "tr, va = idx[:480], idx[480:]\n",
    "X_train, y_train = torch.tensor(X_np[tr], dtype=torch.float32), torch.tensor(y_np[tr]).unsqueeze(1)\n",
    "X_val, y_val = torch.tensor(X_np[va], dtype=torch.float32), torch.tensor(y_np[va]).unsqueeze(1)\n",
    "print(\"train:\", X_train.shape, \" val:\", X_val.shape, \" proporsi 'baik':\", y_np.mean().round(2))\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(4.8, 4.2))\n",
    "ax.scatter(*X_np[y_np == 0].T, color=RED, s=10, label=\"buruk\")\n",
    "ax.scatter(*X_np[y_np == 1].T, color=TEAL, s=10, label=\"baik\")\n",
    "ax.set_xlabel(\"SNR (ternormalisasi)\"); ax.set_ylabel(\"RSSI (ternormalisasi)\")\n",
    "ax.legend(fontsize=8, loc=\"upper left\", bbox_to_anchor=(1.01, 1))\n",
    "ax.set_title(\"Data sintetis: zona ideal berbentuk lingkaran\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "adf844f5",
   "metadata": {},
   "source": [
    "### 6.2 Mendefinisikan model\n",
    "\n",
    "Dua model untuk dibandingkan:\n",
    "- **Satu neuron** (tanpa *hidden layer*) → hanya bisa batas lurus\n",
    "- **MLP 2-16-16-1** dengan ReLU\n",
    "\n",
    "`nn.Linear(n_in, n_out)` = $Wx + b$. Output tidak diberi sigmoid karena `BCEWithLogitsLoss` sudah menggabungkan sigmoid + BCE (lebih stabil)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "da011bc1",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:34.576664Z",
     "iopub.status.busy": "2026-09-28T03:48:34.576554Z",
     "iopub.status.idle": "2026-09-28T03:48:34.581566Z",
     "shell.execute_reply": "2026-09-28T03:48:34.581153Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sequential(\n",
      "  (0): Linear(in_features=2, out_features=16, bias=True)\n",
      "  (1): ReLU()\n",
      "  (2): Linear(in_features=16, out_features=16, bias=True)\n",
      "  (3): ReLU()\n",
      "  (4): Linear(in_features=16, out_features=1, bias=True)\n",
      ")\n",
      "Parameter satu neuron: 3\n",
      "Parameter MLP 2-16-16-1: 337 = (2*16+16) + (16*16+16) + (16*1+1)\n"
     ]
    }
   ],
   "source": [
    "def make_single_neuron():\n",
    "    return nn.Sequential(nn.Linear(2, 1))\n",
    "\n",
    "def make_mlp():\n",
    "    return nn.Sequential(\n",
    "        nn.Linear(2, 16), nn.ReLU(),\n",
    "        nn.Linear(16, 16), nn.ReLU(),\n",
    "        nn.Linear(16, 1),\n",
    "    )\n",
    "\n",
    "def count_params(model):\n",
    "    return sum(p.numel() for p in model.parameters())\n",
    "\n",
    "print(make_mlp())\n",
    "print(\"Parameter satu neuron:\", count_params(make_single_neuron()))\n",
    "print(\"Parameter MLP 2-16-16-1:\", count_params(make_mlp()), \"= (2*16+16) + (16*16+16) + (16*1+1)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2ceb8a5d",
   "metadata": {},
   "source": [
    "### 6.3 *Training loop*\n",
    "\n",
    "Lima langkah yang diulang setiap *batch* — persis seperti di slide:\n",
    "\n",
    "1. **forward** — `model(xb)`\n",
    "2. **loss** — `loss_fn(logits, yb)`\n",
    "3. **reset** — `optimizer.zero_grad()`\n",
    "4. **backward** — `loss.backward()`\n",
    "5. **update** — `optimizer.step()`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "a20e6700",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:34.582804Z",
     "iopub.status.busy": "2026-09-28T03:48:34.582723Z",
     "iopub.status.idle": "2026-09-28T03:48:36.497511Z",
     "shell.execute_reply": "2026-09-28T03:48:36.497038Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iterasi per epoch: 15  (480 data / batch 32)\n",
      "Tebak 'buruk' semua (baseline) -> akurasi val = 75.83%\n",
      "Satu neuron  -> akurasi val = 75.83%\n",
      "MLP 2-16-16-1 -> akurasi val = 90.00%\n"
     ]
    }
   ],
   "source": [
    "def train(model, epochs=150, lr=0.01, batch_size=32):\n",
    "    loss_fn = nn.BCEWithLogitsLoss()\n",
    "    optimizer = torch.optim.Adam(model.parameters(), lr=lr)\n",
    "    loader = torch.utils.data.DataLoader(\n",
    "        torch.utils.data.TensorDataset(X_train, y_train), batch_size=batch_size, shuffle=True\n",
    "    )\n",
    "    history = {\"train\": [], \"val\": []}\n",
    "    for epoch in range(epochs):\n",
    "        model.train()\n",
    "        for xb, yb in loader:                 # satu iterasi = satu batch\n",
    "            logits = model(xb)                # 1. forward\n",
    "            loss = loss_fn(logits, yb)        # 2. loss\n",
    "            optimizer.zero_grad()             # 3. reset gradien\n",
    "            loss.backward()                   # 4. backward (backprop)\n",
    "            optimizer.step()                  # 5. update bobot\n",
    "        model.eval()\n",
    "        with torch.no_grad():\n",
    "            history[\"train\"].append(loss_fn(model(X_train), y_train).item())\n",
    "            history[\"val\"].append(loss_fn(model(X_val), y_val).item())\n",
    "    return history\n",
    "\n",
    "def accuracy(model, X, y):\n",
    "    with torch.no_grad():\n",
    "        pred = (torch.sigmoid(model(X)) > 0.5).float()\n",
    "    return (pred == y).float().mean().item()\n",
    "\n",
    "torch.manual_seed(SEED)\n",
    "single = make_single_neuron()\n",
    "hist_single = train(single)\n",
    "torch.manual_seed(SEED)\n",
    "mlp = make_mlp()\n",
    "hist_mlp = train(mlp)\n",
    "\n",
    "print(f\"Iterasi per epoch: {int(np.ceil(len(X_train) / 32))}  (480 data / batch 32)\")\n",
    "print(f\"Tebak 'buruk' semua (baseline) -> akurasi val = {1 - y_val.mean().item():.2%}\")\n",
    "print(f\"Satu neuron  -> akurasi val = {accuracy(single, X_val, y_val):.2%}\")\n",
    "print(f\"MLP 2-16-16-1 -> akurasi val = {accuracy(mlp, X_val, y_val):.2%}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4a08be5d",
   "metadata": {},
   "source": [
    "### 6.4 Kurva *loss* & batas keputusan"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "43a83ca8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:36.498887Z",
     "iopub.status.busy": "2026-09-28T03:48:36.498775Z",
     "iopub.status.idle": "2026-09-28T03:48:36.661605Z",
     "shell.execute_reply": "2026-09-28T03:48:36.661030Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1650x473 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def torch_predict(model):\n",
    "    def f(X):\n",
    "        with torch.no_grad():\n",
    "            return torch.sigmoid(model(torch.tensor(X, dtype=torch.float32))).numpy().ravel()\n",
    "    return f\n",
    "\n",
    "fig, axes = plt.subplots(1, 3, figsize=(15, 4.3))\n",
    "axes[0].plot(hist_single[\"train\"], color=GRAY, label=\"satu neuron (train)\")\n",
    "axes[0].plot(hist_mlp[\"train\"], color=NAVY, label=\"MLP (train)\")\n",
    "axes[0].plot(hist_mlp[\"val\"], color=RED, ls=\"--\", label=\"MLP (validasi)\")\n",
    "axes[0].set_xlabel(\"epoch\"); axes[0].set_ylabel(\"BCE loss\"); axes[0].legend(); axes[0].set_title(\"Kurva loss\")\n",
    "\n",
    "for ax, model, title in [(axes[1], single, \"Satu neuron: menyerah, tebak 'buruk' semua\"), (axes[2], mlp, \"MLP: batas melengkung\")]:\n",
    "    plot_boundary(ax, torch_predict(model), title)\n",
    "    ax.scatter(*X_np[y_np == 0].T, color=RED, s=6)\n",
    "    ax.scatter(*X_np[y_np == 1].T, color=TEAL, s=6)\n",
    "plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "258fe563",
   "metadata": {},
   "source": [
    "Satu neuron hanya bisa menarik **garis lurus**. Tidak ada satu garis pun yang bisa memisahkan zona lingkaran, sehingga solusi terbaiknya adalah menebak \"buruk\" untuk semua titik — akurasinya hampir sama dengan *baseline*. MLP dengan *hidden layer* + ReLU \"menekuk\" batas keputusan sehingga bisa melingkupinya.\n",
    "\n",
    "> **Coba sendiri:** ganti `nn.ReLU()` di `make_mlp` menjadi `nn.Sigmoid()`, atau ubah `lr=0.01` menjadi `lr=1.0` di `train(...)`. Bagaimana kurva *loss*-nya?\n",
    "\n",
    "### 6.5 Waspada *overfitting*\n",
    "\n",
    "Model yang terlalu besar untuk data yang sedikit akan **menghafal** data latih, termasuk noise-nya. Kita latih MLP besar hanya dengan 40 sampel:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "0364f22b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:36.663921Z",
     "iopub.status.busy": "2026-09-28T03:48:36.663794Z",
     "iopub.status.idle": "2026-09-28T03:48:36.942340Z",
     "shell.execute_reply": "2026-09-28T03:48:36.941793Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 715x418 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Akurasi train = 100%, akurasi validasi = 84%\n"
     ]
    }
   ],
   "source": [
    "X_small, y_small = X_train[:40], y_train[:40]\n",
    "\n",
    "torch.manual_seed(SEED)\n",
    "big = nn.Sequential(nn.Linear(2, 128), nn.ReLU(), nn.Linear(128, 128), nn.ReLU(), nn.Linear(128, 1))\n",
    "loss_fn = nn.BCEWithLogitsLoss()\n",
    "opt = torch.optim.Adam(big.parameters(), lr=0.01)\n",
    "tr_hist, va_hist = [], []\n",
    "for epoch in range(400):\n",
    "    big.train()\n",
    "    loss = loss_fn(big(X_small), y_small)   # full batch (40 data)\n",
    "    opt.zero_grad(); loss.backward(); opt.step()\n",
    "    big.eval()\n",
    "    with torch.no_grad():\n",
    "        tr_hist.append(loss.item()); va_hist.append(loss_fn(big(X_val), y_val).item())\n",
    "\n",
    "best = int(np.argmin(va_hist))\n",
    "fig, ax = plt.subplots(figsize=(6.5, 3.8))\n",
    "ax.plot(tr_hist, color=NAVY, lw=2, label=\"loss train (40 data)\")\n",
    "ax.plot(va_hist, color=RED, lw=2, label=\"loss validasi\")\n",
    "ax.axvline(best, color=GOLD, ls=\"--\", label=f\"validasi terbaik (epoch {best})\")\n",
    "ax.set_xlabel(\"epoch\"); ax.set_ylabel(\"BCE loss\"); ax.set_ylim(0, 1.5); ax.legend()\n",
    "plt.show()\n",
    "print(f\"Akurasi train = {accuracy(big, X_small, y_small):.0%}, akurasi validasi = {accuracy(big, X_val, y_val):.0%}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "44b94ca3",
   "metadata": {},
   "source": [
    "*Loss* train terus turun mendekati nol, tetapi *loss* validasi berhenti membaik lalu naik — tanda **overfitting**. Solusinya: *early stopping* (ambil model di titik emas), *dropout*, *weight decay*, atau menambah data."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a23217d2",
   "metadata": {},
   "source": [
    "---\n",
    "## 7. Jembatan ke *Pipeline* Deteksi Intrusi (`.py`)\n",
    "\n",
    "Semua konsep di atas akan kita pakai ulang pada data NSL-KDD:\n",
    "\n",
    "| Konsep di notebook ini | Di *pipeline* NSL-KDD |\n",
    "|---|---|\n",
    "| 2 fitur (SNR, RSSI) dinormalisasi | 41 fitur koneksi → *one-hot* + *standardization* → **122 fitur** |\n",
    "| MLP 2-16-16-1 | MLP **122-64-32-1** |\n",
    "| `BCEWithLogitsLoss` + Adam | sama |\n",
    "| *Training loop* 5 langkah | sama, ditulis di file `.py` |\n",
    "| Akurasi validasi | akurasi, *precision*, *recall*, F1, *confusion matrix* |\n",
    "\n",
    "Arsitektur yang akan kita tulis:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "edd7c6a5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:36.943981Z",
     "iopub.status.busy": "2026-09-28T03:48:36.943884Z",
     "iopub.status.idle": "2026-09-28T03:48:36.948456Z",
     "shell.execute_reply": "2026-09-28T03:48:36.947684Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sequential(\n",
      "  (0): Linear(in_features=122, out_features=64, bias=True)\n",
      "  (1): ReLU()\n",
      "  (2): Linear(in_features=64, out_features=32, bias=True)\n",
      "  (3): ReLU()\n",
      "  (4): Linear(in_features=32, out_features=1, bias=True)\n",
      ")\n",
      "Total parameter: 9985\n",
      "Output shape: torch.Size([5, 1])\n"
     ]
    }
   ],
   "source": [
    "ids_model = nn.Sequential(\n",
    "    nn.Linear(122, 64), nn.ReLU(),   # input -> hidden 1\n",
    "    nn.Linear(64, 32), nn.ReLU(),    # hidden 1 -> hidden 2\n",
    "    nn.Linear(32, 1),                # hidden 2 -> output (logit)\n",
    ")\n",
    "print(ids_model)\n",
    "print(\"Total parameter:\", count_params(ids_model))   # 9.985, sama dengan slide\n",
    "\n",
    "dummy = torch.randn(5, 122)          # 5 koneksi palsu, hanya untuk cek bentuk tensor\n",
    "print(\"Output shape:\", ids_model(dummy).shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cfac831f",
   "metadata": {},
   "source": [
    "---\n",
    "## Latihan\n",
    "\n",
    "**Latihan 1 (dari slide).** Gunakan jaringan 2-2-1 di Bagian 3 (bobot awal) untuk link dengan $x = (0.2,\\ 0.3)$ dan label $y = 0$ (link buruk). Hitung $h$, $\\hat{y}$, dan $L_{\\text{BCE}}$ **di kertas dulu**, lalu cek dengan sel di bawah.\n",
    "\n",
    "**Latihan 2.** Berapa parameter MLP **122-128-64-5** untuk klasifikasi 5 kelas NSL-KDD? Aktivasi dan *loss* apa yang dipakai di output? Cek jawabanmu dengan `count_params`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "0e5fa7e8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:36.949953Z",
     "iopub.status.busy": "2026-09-28T03:48:36.949851Z",
     "iopub.status.idle": "2026-09-28T03:48:36.952692Z",
     "shell.execute_reply": "2026-09-28T03:48:36.952001Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "h = [0.11 0.08] | z2 = 0.27 | y_hat = 0.567 | BCE = 0.837\n",
      "Prediksi: BAIK (label sebenarnya: BURUK)\n"
     ]
    }
   ],
   "source": [
    "# Latihan 1 — jalankan setelah menghitung manual\n",
    "x_bad, y_bad = np.array([0.2, 0.3]), 0.0\n",
    "z1_b, h_b, z2_b, yhat_b = forward(x_bad, W1, b1, w2, b2)\n",
    "print(\"h =\", h_b, f\"| z2 = {z2_b:.2f} | y_hat = {yhat_b:.3f} | BCE = {bce(y_bad, yhat_b):.3f}\")\n",
    "print(\"Prediksi:\", \"BAIK\" if yhat_b > 0.5 else \"BURUK\", \"(label sebenarnya: BURUK)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "be725fe5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T03:48:36.954249Z",
     "iopub.status.busy": "2026-09-28T03:48:36.954112Z",
     "iopub.status.idle": "2026-09-28T03:48:36.957443Z",
     "shell.execute_reply": "2026-09-28T03:48:36.956981Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total parameter: 24325\n"
     ]
    }
   ],
   "source": [
    "# Latihan 2 — lengkapi arsitekturnya, lalu jalankan\n",
    "multi = nn.Sequential(\n",
    "    nn.Linear(122, 128), nn.ReLU(),\n",
    "    nn.Linear(128, 64), nn.ReLU(),\n",
    "    nn.Linear(64, 5),                # 5 logit -> softmax ada di dalam nn.CrossEntropyLoss\n",
    ")\n",
    "print(\"Total parameter:\", count_params(multi))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "83e71dd6",
   "metadata": {},
   "source": [
    "---\n",
    "## Ringkasan\n",
    "\n",
    "1. **Neuron** = penjumlahan berbobot + fungsi aktivasi: $\\hat{y} = f(\\sum w_i x_i + b)$.\n",
    "2. **Aktivasi non-linear** (ReLU) membuat lapisan bertumpuk bisa membentuk batas keputusan melengkung.\n",
    "3. ***Feed forward*** menghitung prediksi lapis demi lapis; ***loss*** mengukur seberapa salah.\n",
    "4. ***Backpropagation*** memakai *chain rule* untuk menghitung gradien; ***gradient descent*** memperbarui bobot. PyTorch melakukannya otomatis lewat `loss.backward()` dan `optimizer.step()`.\n",
    "\n",
    "**Berikutnya:** menulis *pipeline* `.py` lengkap untuk melatih ANN deteksi intrusi pada NSL-KDD."
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