micrograd.ipynb

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  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: numpy in ./venv/lib/python3.11/site-packages (1.26.0)\n",
      "Requirement already satisfied: matplotlib in ./venv/lib/python3.11/site-packages (3.8.0)\n",
      "Requirement already satisfied: graphviz in ./venv/lib/python3.11/site-packages (0.20.1)\n",
      "Collecting torch\n",
      "  Using cached torch-2.0.1-cp311-none-macosx_11_0_arm64.whl (55.8 MB)\n",
      "Requirement already satisfied: contourpy>=1.0.1 in ./venv/lib/python3.11/site-packages (from matplotlib) (1.1.1)\n",
      "Requirement already satisfied: cycler>=0.10 in ./venv/lib/python3.11/site-packages (from matplotlib) (0.11.0)\n",
      "Requirement already satisfied: fonttools>=4.22.0 in ./venv/lib/python3.11/site-packages (from matplotlib) (4.42.1)\n",
      "Requirement already satisfied: kiwisolver>=1.0.1 in ./venv/lib/python3.11/site-packages (from matplotlib) (1.4.5)\n",
      "Requirement already satisfied: packaging>=20.0 in ./venv/lib/python3.11/site-packages (from matplotlib) (23.1)\n",
      "Requirement already satisfied: pillow>=6.2.0 in ./venv/lib/python3.11/site-packages (from matplotlib) (10.0.1)\n",
      "Requirement already satisfied: pyparsing>=2.3.1 in ./venv/lib/python3.11/site-packages (from matplotlib) (3.1.1)\n",
      "Requirement already satisfied: python-dateutil>=2.7 in ./venv/lib/python3.11/site-packages (from matplotlib) (2.8.2)\n",
      "Collecting filelock (from torch)\n",
      "  Using cached filelock-3.12.4-py3-none-any.whl (11 kB)\n",
      "Collecting typing-extensions (from torch)\n",
      "  Downloading typing_extensions-4.8.0-py3-none-any.whl (31 kB)\n",
      "Collecting sympy (from torch)\n",
      "  Using cached sympy-1.12-py3-none-any.whl (5.7 MB)\n",
      "Collecting networkx (from torch)\n",
      "  Using cached networkx-3.1-py3-none-any.whl (2.1 MB)\n",
      "Collecting jinja2 (from torch)\n",
      "  Using cached Jinja2-3.1.2-py3-none-any.whl (133 kB)\n",
      "Requirement already satisfied: six>=1.5 in ./venv/lib/python3.11/site-packages (from python-dateutil>=2.7->matplotlib) (1.16.0)\n",
      "Collecting MarkupSafe>=2.0 (from jinja2->torch)\n",
      "  Using cached MarkupSafe-2.1.3-cp311-cp311-macosx_10_9_universal2.whl (17 kB)\n",
      "Collecting mpmath>=0.19 (from sympy->torch)\n",
      "  Using cached mpmath-1.3.0-py3-none-any.whl (536 kB)\n",
      "Installing collected packages: mpmath, typing-extensions, sympy, networkx, MarkupSafe, filelock, jinja2, torch\n",
      "Successfully installed MarkupSafe-2.1.3 filelock-3.12.4 jinja2-3.1.2 mpmath-1.3.0 networkx-3.1 sympy-1.12 torch-2.0.1 typing-extensions-4.8.0\n",
      "\n",
      "\u001b[1m[\u001b[0m\u001b[34;49mnotice\u001b[0m\u001b[1;39;49m]\u001b[0m\u001b[39;49m A new release of pip is available: \u001b[0m\u001b[31;49m23.1.2\u001b[0m\u001b[39;49m -> \u001b[0m\u001b[32;49m23.2.1\u001b[0m\n",
      "\u001b[1m[\u001b[0m\u001b[34;49mnotice\u001b[0m\u001b[1;39;49m]\u001b[0m\u001b[39;49m To update, run: \u001b[0m\u001b[32;49mpip install --upgrade pip\u001b[0m\n",
      "Note: you may need to restart the kernel to use updated packages.\n"
     ]
    }
   ],
   "source": [
    "%pip install numpy matplotlib graphviz torch"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math \n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "from graphviz import Digraph\n",
    "\n",
    "def trace(root):\n",
    "    # builds a set of all notes in the graph\n",
    "    nodes, edges = set(), set()\n",
    "    def build(v):\n",
    "        if v not in nodes:\n",
    "            nodes.add(v)\n",
    "            for child in v._prev:\n",
    "                edges.add((child, v))\n",
    "                build(child)\n",
    "    build(root)\n",
    "    return nodes, edges\n",
    "\n",
    "def draw_dot(root):\n",
    "    dot = Digraph(format='svg', graph_attr={'rankdir': 'LR'}) # LR = left to right\n",
    "    nodes, edges = trace(root)\n",
    "    for n in nodes:\n",
    "        uid = str(id(n))\n",
    "        # for any value in the graph, create a rectangle ('record') node for it \n",
    "        dot.node(name = uid, label = \"{ %s | data %.4f | grad %.4f }\" % (n.label, n.data, n.grad), shape='record')\n",
    "        if n._op:\n",
    "            # if this value is a result of some operation, create an op node for it \n",
    "            dot.node(name = uid + n._op, label = n._op)\n",
    "            # and connect this node to it \n",
    "            dot.edge(uid + n._op, uid)\n",
    "    \n",
    "    for n1, n2 in edges:\n",
    "        # connect n1 to n2\n",
    "        dot.edge(str(id(n1)), str(id(n2)) + n2._op)\n",
    "\n",
    "    return dot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Value: \n",
    "    def __init__(self, data, _children=(), _op='', label=''):\n",
    "        self.data = data \n",
    "        self.grad = 0.0\n",
    "        self._backward = lambda: None\n",
    "        self._prev = set(_children)\n",
    "        self._op = _op\n",
    "        self.label = label\n",
    "    \n",
    "    def __repr__(self):\n",
    "        return f'Value(data={self.data})'\n",
    "\n",
    "    def __add__(self, other):\n",
    "        other = other if isinstance(other, Value) else Value(other)\n",
    "        out = Value(self.data + other.data, (self, other), '+')\n",
    "        def _backward():\n",
    "            self.grad += out.grad \n",
    "            other.grad += out.grad\n",
    "        out._backward = _backward\n",
    "        return out\n",
    "    \n",
    "    def __neg__(self, other):\n",
    "        return self * -1\n",
    "\n",
    "    def __sub__(self, other): \n",
    "        return self + (-other)\n",
    "    \n",
    "    def __mul__(self, other):\n",
    "        other = other if isinstance(other, Value) else Value(other)\n",
    "        out = Value(self.data * other.data, (self, other), '*')\n",
    "        def _backward():\n",
    "            self.grad += other.data * out.grad \n",
    "            other.grad += self.data * out.grad\n",
    "        out._backward = _backward\n",
    "        return out\n",
    "    \n",
    "    def __rmul__(self, other):\n",
    "        return self * other\n",
    "    \n",
    "    def __radd__(self, other):\n",
    "        return self + other\n",
    "\n",
    "    def __pow__(self, other):\n",
    "        assert isinstance(other, (int, float)), 'only supporting int/float powers for now'\n",
    "        out = Value(self.data**other, (self,), f'**{other}')\n",
    "        def _backward():\n",
    "            self.grad += (other * self.data**(other-1)) * out.grad\n",
    "        out._backward = _backward\n",
    "        return out\n",
    "\n",
    "    def __truediv__(self, other):\n",
    "        return self * other**-1\n",
    "\n",
    "    def exp(self):\n",
    "        out = Value(math.exp(self.data), (self,), 'exp')\n",
    "        def _backward():\n",
    "            self.grad += math.exp(self.data) * out.grad\n",
    "        out._backward = _backward\n",
    "        return out\n",
    "\n",
    "    def tanh(self):\n",
    "        x = self.data \n",
    "        t = (math.exp(2*x) - 1) / (math.exp(2*x) + 1)\n",
    "        out = Value(t, (self,), 'tanh')\n",
    "        def _backward():\n",
    "            self.grad += (1 - t**2) * out.grad\n",
    "        out._backward = _backward\n",
    "        return out\n",
    "    \n",
    "    def backward(self):\n",
    "        topo = []\n",
    "        visited = set()\n",
    "        def build_topo(v):\n",
    "            if v not in visited:\n",
    "                visited.add(v)\n",
    "                for child in v._prev:\n",
    "                    build_topo(child)\n",
    "                topo.append(v)\n",
    "        build_topo(self)\n",
    "        \n",
    "        self.grad = 1.0 \n",
    "        for node in reversed(topo):\n",
    "            node._backward()"
   ]
  },
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   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
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    "# inputs x1,x2\n",
    "x1 = Value(2.0, label='x1')\n",
    "x2 = Value(0.0, label='x2')\n",
    "# weights w1, w2\n",
    "w1 = Value(-3.0, label='w1')\n",
    "w2 = Value(1.0, label='w2')\n",
    "# bias of the neuron \n",
    "b = Value(6.8813735870195432, label='b')\n",
    "# x1*w1 + x2*w2 + b\n",
    "x1w1 = x1 * w1; x1w1.label = 'x1w1'\n",
    "x2w2 = x2 * w2; x2w2.label = 'x2w2'\n",
    "x1w2xw2 = x1w1 + x2w2; x1w2xw2.label = 'x1w2xw2'\n",
    "n = x1w2xw2 + b; n.label = 'n'\n",
    "o = n.tanh(); o.label = 'o'\n",
    "o.backward()\n",
    "draw_dot(o)"
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   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
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    "# inputs x1,x2\n",
    "x1 = Value(2.0, label='x1')\n",
    "x2 = Value(0.0, label='x2')\n",
    "# weights w1, w2\n",
    "w1 = Value(-3.0, label='w1')\n",
    "w2 = Value(1.0, label='w2')\n",
    "# bias of the neuron \n",
    "b = Value(6.8813735870195432, label='b')\n",
    "# x1*w1 + x2*w2 + b\n",
    "x1w1 = x1 * w1; x1w1.label = 'x1w1'\n",
    "x2w2 = x2 * w2; x2w2.label = 'x2w2'\n",
    "x1w2xw2 = x1w1 + x2w2; x1w2xw2.label = 'x1w2xw2'\n",
    "n = x1w2xw2 + b; n.label = 'n'\n",
    "e = (2*n).exp(); e.label = 'e'\n",
    "o = (e - 1) / (e + 1); o.label = 'o'\n",
    "o.backward()\n",
    "draw_dot(o)"
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  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.7071066904050358\n"
     ]
    }
   ],
   "source": [
    "import torch \n",
    "\n",
    "x1 = torch.tensor([2.0]).double(); x1.requires_grad = True\n",
    "x2 = torch.tensor([0.0]).double(); x2.requires_grad = True\n",
    "w1 = torch.tensor([-3.0]).double(); w1.requires_grad = True\n",
    "w2 = torch.tensor([1.0]).double(); w2.requires_grad = True\n",
    "b = torch.tensor([6.8813735870195432]).double(); b.requires_grad = True\n",
    "n = x1 * w1 + x2 * w2 + b\n",
    "o = torch.tanh(n)\n",
    "\n",
    "print(o.data.item())\n",
    "o.backward()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-1.5000003851533106\n",
      "0.5000001283844369\n",
      "1.0000002567688737\n",
      "0.0\n",
      "0.5000001283844369\n"
     ]
    }
   ],
   "source": [
    "print(x1.grad.item())\n",
    "print(x2.grad.item())\n",
    "print(w1.grad.item())\n",
    "print(w2.grad.item())\n",
    "print(b.grad.item())\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Neuron:\n",
    "    def __init__(self, nin):\n",
    "        self.w = [Value(np.random.uniform(-1, 1)) for _ in range(nin)]\n",
    "        self.b = Value(np.random.uniform(-1, 1))\n",
    "\n",
    "    def __call__(self, x):\n",
    "        act = sum(wi*xi for wi, xi in zip(self.w, x)) + self.b\n",
    "        return act.tanh()\n",
    "\n",
    "    def parameters(self):\n",
    "        return self.w + [self.b]\n",
    "\n",
    "class Layer:\n",
    "    def __init__(self, nin, nout):\n",
    "        self.neurons = [Neuron(nin) for _ in range(nout)]\n",
    "\n",
    "    def __call__(self, x):\n",
    "        outs = [n(x) for n in self.neurons]\n",
    "        return outs[0] if len(outs) == 1 else outs\n",
    "    \n",
    "    def parameters(self):\n",
    "        return [p for n in self.neurons for p in n.parameters()]\n",
    "\n",
    "class MLP:\n",
    "    def __init__(self, nin, nouts):\n",
    "        szs = [nin] + nouts\n",
    "        self.layers = [Layer(szs[i], szs[i+1]) for i in range(len(szs)-1)]\n",
    "\n",
    "    def __call__(self, x):\n",
    "        for layer in self.layers:\n",
    "            x = layer(x)\n",
    "        return x\n",
    "\n",
    "    def parameters(self):\n",
    "        return [p for layer in self.layers for p in layer.parameters()]"
   ]
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    "x = [2.0, 3.0, -1.0]\n",
    "n = MLP(3, [4, 4, 1])\n",
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    "xs = [\n",
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    "for k in range(20):\n",
    "    # forward pass \n",
    "    ypred = [n(x) for x in xs]\n",
    "    loss = sum([(yout - ygt)**2 for ygt, yout in zip(ys, ypred)])\n",
    "\n",
    "    # backward pass\n",
    "    for p in n.parameters():\n",
    "        p.grad = 0.0\n",
    "    loss.backward()\n",
    "\n",
    "    # update \n",
    "    for p in n.parameters():\n",
    "        p.data -= 0.05 * p.grad\n",
    "    \n",
    "    print(k, loss.data)"
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