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Update src/streamlit_app.py
Browse files- src/streamlit_app.py +363 -34
src/streamlit_app.py
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@@ -1,40 +1,369 @@
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import numpy as np
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import
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import streamlit as st
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#
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"""
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indices = np.linspace(0, 1, num_points)
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theta = 2 * np.pi * num_turns * indices
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radius = indices
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x = radius * np.cos(theta)
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y = radius * np.sin(theta)
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df = pd.DataFrame({
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"x": x,
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"y": y,
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"idx": indices,
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"rand": np.random.randn(num_points),
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})
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st.altair_chart(alt.Chart(df, height=700, width=700)
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.mark_point(filled=True)
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.encode(
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x=alt.X("x", axis=None),
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y=alt.Y("y", axis=None),
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color=alt.Color("idx", legend=None, scale=alt.Scale()),
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size=alt.Size("rand", legend=None, scale=alt.Scale(range=[1, 150])),
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))
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"""
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+
π Two-Spiral Neural Network Classifier β Streamlit App
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========================================================
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Interactive exploration of learning non-linear decision boundaries
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using shallow neural networks on the classic Two-Spiral problem.
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"""
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import numpy as np
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import matplotlib.pyplot as plt
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import matplotlib.colors as mcolors
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import streamlit as st
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import time, io
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# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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# CONFIGURATION & PAGE SETUP
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# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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st.set_page_config(
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page_title="π Two-Spiral NN Classifier",
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page_icon="π",
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layout="wide",
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)
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# Custom CSS for a polished UI
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st.markdown("""
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<style>
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/* Main background */
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.stApp {
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background: linear-gradient(135deg, #0f0c29 0%, #302b63 50%, #24243e 100%);
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}
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/* Sidebar */
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section[data-testid="stSidebar"] {
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background: rgba(15, 12, 41, 0.92);
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}
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/* Card-like containers */
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div[data-testid="stVerticalBlock"] > div {
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border-radius: 12px;
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}
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/* Headers */
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h1, h2, h3 {
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color: #e0e0ff !important;
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}
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/* Metric labels */
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[data-testid="stMetricLabel"] {
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color: #b0b0e0 !important;
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}
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[data-testid="stMetricValue"] {
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color: #ffffff !important;
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}
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</style>
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""", unsafe_allow_html=True)
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# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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# UTILITY FUNCTIONS
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# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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def generate_two_spirals(n_points=200, noise=0.5, n_turns=2, seed=42):
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"""Generate the classic two-spiral dataset."""
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rng = np.random.RandomState(seed)
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n = n_points
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theta = np.linspace(0, n_turns * 2 * np.pi, n)
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r = theta
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x1 = r * np.cos(theta) + rng.randn(n) * noise
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y1 = r * np.sin(theta) + rng.randn(n) * noise
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x2 = -r * np.cos(theta) + rng.randn(n) * noise
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y2 = -r * np.sin(theta) + rng.randn(n) * noise
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X = np.vstack([np.column_stack([x1, y1]),
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np.column_stack([x2, y2])])
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y = np.hstack([np.zeros(n), np.ones(n)])
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return X, y
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class ShallowNN:
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"""A simple NumPy-based shallow Neural Network (1-2 hidden layers)."""
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def __init__(self, input_size, hidden_size, output_size=1,
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activation="tanh", learning_rate=0.01):
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self.input_size = input_size
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self.hidden_size = hidden_size
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self.output_size = output_size
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self.activation = activation
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self.lr = learning_rate
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self._init_weights()
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# ββ weight initialisation ββββββββββββββββββββββββββββββββββ
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def _init_weights(self):
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scale = np.sqrt(2.0 / self.input_size)
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self.W1 = np.random.randn(self.input_size, self.hidden_size) * scale
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self.b1 = np.zeros((1, self.hidden_size))
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scale2 = np.sqrt(2.0 / self.hidden_size)
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self.W2 = np.random.randn(self.hidden_size, self.output_size) * scale2
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self.b2 = np.zeros((1, self.output_size))
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# ββ activation helpers βββββββββββββββββββββββββββββββββββββ
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def _activate(self, z):
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if self.activation == "tanh":
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return np.tanh(z)
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elif self.activation == "relu":
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return np.maximum(0, z)
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elif self.activation == "sigmoid":
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return 1.0 / (1.0 + np.exp(-np.clip(z, -500, 500)))
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return np.tanh(z)
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def _activate_deriv(self, z):
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if self.activation == "tanh":
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t = np.tanh(z)
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return 1 - t ** 2
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elif self.activation == "relu":
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return (z > 0).astype(float)
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elif self.activation == "sigmoid":
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s = 1.0 / (1.0 + np.exp(-np.clip(z, -500, 500)))
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return s * (1 - s)
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t = np.tanh(z)
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return 1 - t ** 2
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@staticmethod
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def _sigmoid(z):
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return 1.0 / (1.0 + np.exp(-np.clip(z, -500, 500)))
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# ββ forward / backward βββββββββββββββββββββββοΏ½οΏ½βββββββββββββ
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def forward(self, X):
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self.z1 = X @ self.W1 + self.b1
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self.a1 = self._activate(self.z1)
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self.z2 = self.a1 @ self.W2 + self.b2
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self.a2 = self._sigmoid(self.z2)
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return self.a2
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def _loss(self, y_true, y_pred):
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eps = 1e-8
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y_pred = np.clip(y_pred, eps, 1 - eps)
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return -np.mean(y_true * np.log(y_pred) + (1 - y_true) * np.log(1 - y_pred))
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def backward(self, X, y_true, y_pred):
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m = X.shape[0]
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dz2 = y_pred - y_true.reshape(-1, 1)
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dW2 = (self.a1.T @ dz2) / m
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db2 = np.sum(dz2, axis=0, keepdims=True) / m
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dz1 = (dz2 @ self.W2.T) * self._activate_deriv(self.z1)
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dW1 = (X.T @ dz1) / m
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db1 = np.sum(dz1, axis=0, keepdims=True) / m
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self.W2 -= self.lr * dW2
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self.b2 -= self.lr * db2
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self.W1 -= self.lr * dW1
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self.b1 -= self.lr * db1
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# ββ training loop ββββββββββββββββββββββββββββββββββββββββββ
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def train(self, X, y, epochs=1000, log_every=100):
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losses, accs = [], []
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for ep in range(1, epochs + 1):
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y_pred = self.forward(X)
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loss = self._loss(y, y_pred)
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self.backward(X, y, y_pred)
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if ep % log_every == 0 or ep == 1:
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acc = self.accuracy(X, y)
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losses.append(loss)
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accs.append(acc)
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return losses, accs
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def predict(self, X):
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return (self.forward(X) >= 0.5).astype(int).flatten()
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def accuracy(self, X, y):
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return np.mean(self.predict(X) == y) * 100
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def plot_dataset(X, y, title="Two-Spiral Dataset", ax=None):
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if ax is None:
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fig, ax = plt.subplots(figsize=(6, 6))
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colors = ['#E74C3C', '#3498DB']
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labels = ['Spiral 0', 'Spiral 1']
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for cls in [0, 1]:
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mask = y == cls
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ax.scatter(X[mask, 0], X[mask, 1], c=colors[cls],
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| 174 |
+
label=labels[cls], alpha=0.8, s=20,
|
| 175 |
+
edgecolors='white', linewidth=0.3)
|
| 176 |
+
ax.set_title(title, fontsize=13, fontweight='bold', pad=10)
|
| 177 |
+
ax.set_xlabel('$x_1$'); ax.set_ylabel('$x_2$')
|
| 178 |
+
ax.legend(fontsize=9); ax.set_aspect('equal'); ax.grid(True, alpha=0.25)
|
| 179 |
+
return ax
|
| 180 |
+
|
| 181 |
+
|
| 182 |
+
def plot_decision_boundary(nn, X, y, title="Decision Boundary", ax=None):
|
| 183 |
+
if ax is None:
|
| 184 |
+
fig, ax = plt.subplots(figsize=(6, 6))
|
| 185 |
+
h = 0.25
|
| 186 |
+
x_min, x_max = X[:, 0].min() - 1, X[:, 0].max() + 1
|
| 187 |
+
y_min, y_max = X[:, 1].min() - 1, X[:, 1].max() + 1
|
| 188 |
+
xx, yy = np.meshgrid(np.arange(x_min, x_max, h),
|
| 189 |
+
np.arange(y_min, y_max, h))
|
| 190 |
+
grid = np.c_[xx.ravel(), yy.ravel()]
|
| 191 |
+
Z = nn.predict(grid).reshape(xx.shape)
|
| 192 |
+
cmap_bg = mcolors.LinearSegmentedColormap.from_list(
|
| 193 |
+
"bg", ["#FADBD8", "#D6EAF8"], N=2)
|
| 194 |
+
ax.contourf(xx, yy, Z, alpha=0.4, cmap=cmap_bg, levels=1)
|
| 195 |
+
ax.contour(xx, yy, Z, colors='gray', linewidths=0.5, levels=1)
|
| 196 |
+
plot_dataset(X, y, title=title, ax=ax)
|
| 197 |
+
return ax
|
| 198 |
+
|
| 199 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 200 |
+
# SIDEBAR β HYPER-PARAMETERS
|
| 201 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 202 |
+
|
| 203 |
+
with st.sidebar:
|
| 204 |
+
st.markdown("## βοΈ Hyper-parameters")
|
| 205 |
+
st.markdown("---")
|
| 206 |
+
|
| 207 |
+
n_points = st.slider("Points per spiral", 50, 500, 200, 50)
|
| 208 |
+
noise = st.slider("Noise Ο", 0.1, 1.5, 0.4, 0.1)
|
| 209 |
+
n_turns = st.slider("Spiral turns", 1, 4, 2, 1)
|
| 210 |
+
seed = st.number_input("Random seed", value=42, step=1)
|
| 211 |
+
|
| 212 |
+
st.markdown("---")
|
| 213 |
+
hidden_size = st.slider("Hidden-layer neurons", 8, 256, 64, 8)
|
| 214 |
+
activation = st.selectbox("Activation", ["tanh", "relu", "sigmoid"])
|
| 215 |
+
learning_rate = st.select_slider("Learning rate",
|
| 216 |
+
options=[0.001, 0.005, 0.01, 0.05, 0.1, 0.5], value=0.01)
|
| 217 |
+
epochs = st.slider("Epochs", 500, 10000, 3000, 500)
|
| 218 |
+
|
| 219 |
+
st.markdown("---")
|
| 220 |
+
run_btn = st.button("π Train network", use_container_width=True)
|
| 221 |
+
|
| 222 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 223 |
+
# MAIN AREA
|
| 224 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 225 |
+
|
| 226 |
+
st.markdown("# π Two-Spiral Neural Network Classifier")
|
| 227 |
+
st.markdown("""
|
| 228 |
+
> **Explore** how a *shallow neural network* learns highly non-linear decision
|
| 229 |
+
> boundaries on the classic **Two-Spiral Problem** introduced by
|
| 230 |
+
> Lang & Witbrock (1988). Adjust hyper-parameters in the sidebar and click
|
| 231 |
+
> **Train network** to watch the model learn.
|
| 232 |
+
""")
|
| 233 |
+
|
| 234 |
+
# Generate data
|
| 235 |
+
X, y = generate_two_spirals(n_points, noise, n_turns, int(seed))
|
| 236 |
+
|
| 237 |
+
# Normalise
|
| 238 |
+
X_mean = X.mean(axis=0)
|
| 239 |
+
X_std = X.std(axis=0)
|
| 240 |
+
X_norm = (X - X_mean) / X_std
|
| 241 |
+
|
| 242 |
+
tab_data, tab_train, tab_analysis = st.tabs(
|
| 243 |
+
["π Dataset", "ποΈ Training", "π¬ Activation Analysis"])
|
| 244 |
+
|
| 245 |
+
# ββ TAB 1 β Dataset βββββββββββββββββββββββββββββββββββββββββββ
|
| 246 |
+
with tab_data:
|
| 247 |
+
col1, col2 = st.columns(2)
|
| 248 |
+
with col1:
|
| 249 |
+
fig1, ax1 = plt.subplots(figsize=(6, 6), facecolor='#1a1a2e')
|
| 250 |
+
ax1.set_facecolor('#1a1a2e')
|
| 251 |
+
ax1.tick_params(colors='white'); ax1.xaxis.label.set_color('white')
|
| 252 |
+
ax1.yaxis.label.set_color('white'); ax1.title.set_color('white')
|
| 253 |
+
for spine in ax1.spines.values(): spine.set_color('#444')
|
| 254 |
+
plot_dataset(X, y, "Two-Spiral Dataset", ax=ax1)
|
| 255 |
+
ax1.legend(facecolor='#2a2a4e', edgecolor='#444', labelcolor='white')
|
| 256 |
+
st.pyplot(fig1)
|
| 257 |
+
|
| 258 |
+
with col2:
|
| 259 |
+
st.markdown("### π Dataset statistics")
|
| 260 |
+
st.metric("Total samples", f"{len(y)}")
|
| 261 |
+
st.metric("Class 0", f"{int((y==0).sum())}")
|
| 262 |
+
st.metric("Class 1", f"{int((y==1).sum())}")
|
| 263 |
+
st.metric("Feature range (xβ)",
|
| 264 |
+
f"[{X[:,0].min():.2f}, {X[:,0].max():.2f}]")
|
| 265 |
+
st.metric("Feature range (xβ)",
|
| 266 |
+
f"[{X[:,1].min():.2f}, {X[:,1].max():.2f}]")
|
| 267 |
+
st.info("The two spirals are **completely interleaved** β "
|
| 268 |
+
"no linear boundary can separate them.")
|
| 269 |
+
|
| 270 |
+
# ββ TAB 2 β Training ββββββββββββββββββββββββββββββββββββββββββ
|
| 271 |
+
with tab_train:
|
| 272 |
+
if run_btn:
|
| 273 |
+
np.random.seed(int(seed))
|
| 274 |
+
nn = ShallowNN(2, hidden_size, activation=activation,
|
| 275 |
+
learning_rate=learning_rate)
|
| 276 |
+
|
| 277 |
+
log_every = max(1, epochs // 50)
|
| 278 |
+
progress_bar = st.progress(0, text="Training β¦")
|
| 279 |
+
metric_col1, metric_col2 = st.columns(2)
|
| 280 |
+
loss_placeholder = metric_col1.empty()
|
| 281 |
+
acc_placeholder = metric_col2.empty()
|
| 282 |
+
|
| 283 |
+
losses, accs = [], []
|
| 284 |
+
for ep in range(1, epochs + 1):
|
| 285 |
+
y_pred = nn.forward(X_norm)
|
| 286 |
+
loss = nn._loss(y, y_pred)
|
| 287 |
+
nn.backward(X_norm, y, y_pred)
|
| 288 |
+
if ep % log_every == 0 or ep == 1:
|
| 289 |
+
acc = nn.accuracy(X_norm, y)
|
| 290 |
+
losses.append(loss)
|
| 291 |
+
accs.append(acc)
|
| 292 |
+
progress_bar.progress(ep / epochs,
|
| 293 |
+
text=f"Epoch {ep}/{epochs} β Loss {loss:.4f} β Acc {acc:.1f}%")
|
| 294 |
+
loss_placeholder.metric("Loss", f"{loss:.4f}")
|
| 295 |
+
acc_placeholder.metric("Accuracy", f"{acc:.1f}%")
|
| 296 |
+
|
| 297 |
+
progress_bar.empty()
|
| 298 |
+
|
| 299 |
+
st.success(f"β
Training finished β **Final accuracy: {accs[-1]:.1f}%**")
|
| 300 |
+
|
| 301 |
+
# Charts
|
| 302 |
+
col_loss, col_acc, col_boundary = st.columns(3)
|
| 303 |
+
with col_loss:
|
| 304 |
+
fig_l, ax_l = plt.subplots(figsize=(5, 4), facecolor='#1a1a2e')
|
| 305 |
+
ax_l.set_facecolor('#1a1a2e')
|
| 306 |
+
ax_l.plot(losses, color='#E74C3C', linewidth=1.5)
|
| 307 |
+
ax_l.set_title("Loss", color='white', fontweight='bold')
|
| 308 |
+
ax_l.set_xlabel("log step", color='white')
|
| 309 |
+
ax_l.tick_params(colors='white')
|
| 310 |
+
for sp in ax_l.spines.values(): sp.set_color('#444')
|
| 311 |
+
st.pyplot(fig_l)
|
| 312 |
+
with col_acc:
|
| 313 |
+
fig_a, ax_a = plt.subplots(figsize=(5, 4), facecolor='#1a1a2e')
|
| 314 |
+
ax_a.set_facecolor('#1a1a2e')
|
| 315 |
+
ax_a.plot(accs, color='#2ECC71', linewidth=1.5)
|
| 316 |
+
ax_a.set_title("Accuracy (%)", color='white', fontweight='bold')
|
| 317 |
+
ax_a.set_xlabel("log step", color='white')
|
| 318 |
+
ax_a.tick_params(colors='white')
|
| 319 |
+
for sp in ax_a.spines.values(): sp.set_color('#444')
|
| 320 |
+
st.pyplot(fig_a)
|
| 321 |
+
with col_boundary:
|
| 322 |
+
fig_b, ax_b = plt.subplots(figsize=(5, 4), facecolor='#1a1a2e')
|
| 323 |
+
ax_b.set_facecolor('#1a1a2e')
|
| 324 |
+
ax_b.tick_params(colors='white'); ax_b.xaxis.label.set_color('white')
|
| 325 |
+
ax_b.yaxis.label.set_color('white'); ax_b.title.set_color('white')
|
| 326 |
+
for sp in ax_b.spines.values(): sp.set_color('#444')
|
| 327 |
+
plot_decision_boundary(nn, X_norm, y, "Decision Boundary", ax=ax_b)
|
| 328 |
+
ax_b.legend(facecolor='#2a2a4e', edgecolor='#444', labelcolor='white')
|
| 329 |
+
st.pyplot(fig_b)
|
| 330 |
+
else:
|
| 331 |
+
st.info("π Click **Train network** in the sidebar to start.")
|
| 332 |
+
|
| 333 |
+
# ββ TAB 3 β Activation analysis βββββββββββββββββββββββββββββββ
|
| 334 |
+
with tab_analysis:
|
| 335 |
+
st.markdown("### π¬ Comparing activation functions")
|
| 336 |
+
st.markdown("Train the same architecture with **tanh**, **relu**, and "
|
| 337 |
+
"**sigmoid** to see which one separates the spirals best.")
|
| 338 |
+
if st.button("βΆοΈ Run comparison", use_container_width=True):
|
| 339 |
+
acts = ["tanh", "relu", "sigmoid"]
|
| 340 |
+
results = {}
|
| 341 |
+
for act in acts:
|
| 342 |
+
np.random.seed(int(seed))
|
| 343 |
+
_nn = ShallowNN(2, hidden_size, activation=act,
|
| 344 |
+
learning_rate=learning_rate)
|
| 345 |
+
_losses, _accs = _nn.train(X_norm, y, epochs=epochs,
|
| 346 |
+
log_every=max(1, epochs // 50))
|
| 347 |
+
results[act] = {"nn": _nn, "losses": _losses, "accs": _accs}
|
| 348 |
+
|
| 349 |
+
cols = st.columns(3)
|
| 350 |
+
for idx, act in enumerate(acts):
|
| 351 |
+
with cols[idx]:
|
| 352 |
+
fig_c, ax_c = plt.subplots(figsize=(5, 5), facecolor='#1a1a2e')
|
| 353 |
+
ax_c.set_facecolor('#1a1a2e')
|
| 354 |
+
ax_c.tick_params(colors='white')
|
| 355 |
+
ax_c.xaxis.label.set_color('white')
|
| 356 |
+
ax_c.yaxis.label.set_color('white')
|
| 357 |
+
ax_c.title.set_color('white')
|
| 358 |
+
for sp in ax_c.spines.values(): sp.set_color('#444')
|
| 359 |
+
plot_decision_boundary(results[act]["nn"], X_norm, y,
|
| 360 |
+
f"{act} β {results[act]['accs'][-1]:.1f}%", ax=ax_c)
|
| 361 |
+
ax_c.legend(facecolor='#2a2a4e', edgecolor='#444',
|
| 362 |
+
labelcolor='white')
|
| 363 |
+
st.pyplot(fig_c)
|
| 364 |
+
else:
|
| 365 |
+
st.info("Click **Run comparison** to start the analysis.")
|
| 366 |
|
| 367 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 368 |
+
st.markdown("---")
|
| 369 |
+
st.caption("Built with β€οΈ using Streamlit Β· Two-Spiral classification experiment")
|
|
|
|
|
|
|
|
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|
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|
|
|
|
|
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|
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