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import numpy as np
class NeuralNet:
def __init__(self, dims):
self.W = [np.random.randn(d1,d2)*0.01
for d1,d2 in zip(dims,dims[1:])]
self.b = [np.zeros((1,d)) for d in dims[1:]]
def forward(self, X):
self.a = [X]
for W,b in zip(self.W, self.b):
z = self.a[-1] @ W + b
self.a.append(np.maximum(0, z)) # ReLU
return self.a[-1]
def backward(self, y_true, lr=0.01):
m = len(y_true)
dout = self.a[-1] - y_true
for i in reversed(range(len(self.W))):
dw = self.a[i].T @ dout / m
db = np.sum(dout, axis=0, keepdims=True) / m
if i > 0:
dout = (dout @ self.W[i].T)
dout *= (self.a[i] > 0)
self.W[i] -= lr * dw
self.b[i] -= lr * db
def train(self, X, y, epochs=1000, lr=0.01):
for _ in range(epochs):
self.forward(X)
self.backward(y, lr)Every question you outsource is a connection your brain never makes.
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