Первый прототип нейросети готов
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@@ -14,6 +14,9 @@ class Node:
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name = f"{self.label}:" if self.label else ""
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return f"<{name}{self.op or 'var'} val={self.val:.6g} grad={self.grad:.6g}>"
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def __float__(self):
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return self.val
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@staticmethod
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def _to_node(x):
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return x if isinstance(x, Node) else Node(x)
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@@ -63,8 +66,10 @@ class Node:
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def __rtruediv__(self, other): return Node._to_node(other) / self
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def __pow__(self, other):
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def pow_with_node(self, other):
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other = Node._to_node(other)
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if self.val <= 0:
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raise ValueError("base must be > 0 for real-valued power")
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out = Node(self.val**other.val, parents=[(self, lambda g: g * other.val * (self.val ** (other.val-1))), (other, lambda g: g * (self.val ** other.val) * math.log(self.val))], op=f"**{other.val}")
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def _backward():
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self.grad += out.grad * other.val * (self.val ** (other.val-1))
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@@ -72,6 +77,14 @@ class Node:
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out._backward = _backward
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return out
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def __pow__(self, p: float):
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# степень фиксируем скаляром p
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out = Node(self.val**p, parents=[(self, lambda g: g * p * (self.val ** (p-1)))], op=f"**{p}")
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def _backward():
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self.grad += out.grad * p * (self.val ** (p-1))
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out._backward = _backward
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return out
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def __rpow__(self, p: float):
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# основание фиксируем скаляром p
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out = Node(p**self.val, parents=[(self, lambda g: g * p ** self.val * math.log(p))], op=f"{p}**")
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@@ -113,14 +126,12 @@ def backward(loss: Node):
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build(p)
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topo.append(u)
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build(loss)
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print(topo, list(reversed(topo)), visited)
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# 2) инициализируем dL/dL = 1 и идём в обратном порядке
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for n in topo:
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n.grad = 0.0
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loss.grad = 1.0
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for node in reversed(topo):
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node._backward()
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print(node)
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if __name__ == "__main__":
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