File size: 16,113 Bytes
1c26de1
 
 
 
 
 
 
5b847e5
1c26de1
 
5b847e5
1c26de1
5b847e5
1c26de1
 
 
5b847e5
1c26de1
 
 
 
 
5b847e5
1c26de1
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
5b847e5
1c26de1
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
"""
πŸŒ€ Two-Spiral Neural Network Classifier β€” Streamlit App
========================================================
Interactive exploration of learning non-linear decision boundaries
using shallow neural networks on the classic Two-Spiral problem.
"""

import numpy as np
import matplotlib.pyplot as plt
import matplotlib.colors as mcolors
import streamlit as st
import time, io

# ──────────────────────────────────────────────────────────────
# CONFIGURATION & PAGE SETUP
# ──────────────────────────────────────────────────────────────

st.set_page_config(
    page_title="πŸŒ€ Two-Spiral NN Classifier",
    page_icon="πŸŒ€",
    layout="wide",
)

# Custom CSS for a polished UI
st.markdown("""
<style>
    /* Main background */
    .stApp {
        background: linear-gradient(135deg, #0f0c29 0%, #302b63 50%, #24243e 100%);
    }
    /* Sidebar */
    section[data-testid="stSidebar"] {
        background: rgba(15, 12, 41, 0.92);
    }
    /* Card-like containers */
    div[data-testid="stVerticalBlock"] > div {
        border-radius: 12px;
    }
    /* Headers */
    h1, h2, h3 {
        color: #e0e0ff !important;
    }
    /* Metric labels */
    [data-testid="stMetricLabel"] {
        color: #b0b0e0 !important;
    }
    [data-testid="stMetricValue"] {
        color: #ffffff !important;
    }
</style>
""", unsafe_allow_html=True)

# ──────────────────────────────────────────────────────────────
# UTILITY FUNCTIONS
# ──────────────────────────────────────────────────────────────

def generate_two_spirals(n_points=200, noise=0.5, n_turns=2, seed=42):
    """Generate the classic two-spiral dataset."""
    rng = np.random.RandomState(seed)
    n = n_points
    theta = np.linspace(0, n_turns * 2 * np.pi, n)
    r = theta
    x1 = r * np.cos(theta) + rng.randn(n) * noise
    y1 = r * np.sin(theta) + rng.randn(n) * noise
    x2 = -r * np.cos(theta) + rng.randn(n) * noise
    y2 = -r * np.sin(theta) + rng.randn(n) * noise
    X = np.vstack([np.column_stack([x1, y1]),
                   np.column_stack([x2, y2])])
    y = np.hstack([np.zeros(n), np.ones(n)])
    return X, y


class ShallowNN:
    """A simple NumPy-based shallow Neural Network (1-2 hidden layers)."""

    def __init__(self, input_size, hidden_size, output_size=1,
                 activation="tanh", learning_rate=0.01):
        self.input_size = input_size
        self.hidden_size = hidden_size
        self.output_size = output_size
        self.activation = activation
        self.lr = learning_rate
        self._init_weights()

    # ── weight initialisation ──────────────────────────────────
    def _init_weights(self):
        scale = np.sqrt(2.0 / self.input_size)
        self.W1 = np.random.randn(self.input_size, self.hidden_size) * scale
        self.b1 = np.zeros((1, self.hidden_size))
        scale2 = np.sqrt(2.0 / self.hidden_size)
        self.W2 = np.random.randn(self.hidden_size, self.output_size) * scale2
        self.b2 = np.zeros((1, self.output_size))

    # ── activation helpers ─────────────────────────────────────
    def _activate(self, z):
        if self.activation == "tanh":
            return np.tanh(z)
        elif self.activation == "relu":
            return np.maximum(0, z)
        elif self.activation == "sigmoid":
            return 1.0 / (1.0 + np.exp(-np.clip(z, -500, 500)))
        return np.tanh(z)

    def _activate_deriv(self, z):
        if self.activation == "tanh":
            t = np.tanh(z)
            return 1 - t ** 2
        elif self.activation == "relu":
            return (z > 0).astype(float)
        elif self.activation == "sigmoid":
            s = 1.0 / (1.0 + np.exp(-np.clip(z, -500, 500)))
            return s * (1 - s)
        t = np.tanh(z)
        return 1 - t ** 2

    @staticmethod
    def _sigmoid(z):
        return 1.0 / (1.0 + np.exp(-np.clip(z, -500, 500)))

    # ── forward / backward ─────────────────────────────────────
    def forward(self, X):
        self.z1 = X @ self.W1 + self.b1
        self.a1 = self._activate(self.z1)
        self.z2 = self.a1 @ self.W2 + self.b2
        self.a2 = self._sigmoid(self.z2)
        return self.a2

    def _loss(self, y_true, y_pred):
        eps = 1e-8
        y_pred = np.clip(y_pred, eps, 1 - eps)
        return -np.mean(y_true * np.log(y_pred) + (1 - y_true) * np.log(1 - y_pred))

    def backward(self, X, y_true, y_pred):
        m = X.shape[0]
        dz2 = y_pred - y_true.reshape(-1, 1)
        dW2 = (self.a1.T @ dz2) / m
        db2 = np.sum(dz2, axis=0, keepdims=True) / m
        dz1 = (dz2 @ self.W2.T) * self._activate_deriv(self.z1)
        dW1 = (X.T @ dz1) / m
        db1 = np.sum(dz1, axis=0, keepdims=True) / m
        self.W2 -= self.lr * dW2
        self.b2 -= self.lr * db2
        self.W1 -= self.lr * dW1
        self.b1 -= self.lr * db1

    # ── training loop ──────────────────────────────────────────
    def train(self, X, y, epochs=1000, log_every=100):
        losses, accs = [], []
        for ep in range(1, epochs + 1):
            y_pred = self.forward(X)
            loss = self._loss(y, y_pred)
            self.backward(X, y, y_pred)
            if ep % log_every == 0 or ep == 1:
                acc = self.accuracy(X, y)
                losses.append(loss)
                accs.append(acc)
        return losses, accs

    def predict(self, X):
        return (self.forward(X) >= 0.5).astype(int).flatten()

    def accuracy(self, X, y):
        return np.mean(self.predict(X) == y) * 100


def plot_dataset(X, y, title="Two-Spiral Dataset", ax=None):
    if ax is None:
        fig, ax = plt.subplots(figsize=(6, 6))
    colors = ['#E74C3C', '#3498DB']
    labels = ['Spiral 0', 'Spiral 1']
    for cls in [0, 1]:
        mask = y == cls
        ax.scatter(X[mask, 0], X[mask, 1], c=colors[cls],
                   label=labels[cls], alpha=0.8, s=20,
                   edgecolors='white', linewidth=0.3)
    ax.set_title(title, fontsize=13, fontweight='bold', pad=10)
    ax.set_xlabel('$x_1$'); ax.set_ylabel('$x_2$')
    ax.legend(fontsize=9); ax.set_aspect('equal'); ax.grid(True, alpha=0.25)
    return ax


def plot_decision_boundary(nn, X, y, title="Decision Boundary", ax=None):
    if ax is None:
        fig, ax = plt.subplots(figsize=(6, 6))
    h = 0.25
    x_min, x_max = X[:, 0].min() - 1, X[:, 0].max() + 1
    y_min, y_max = X[:, 1].min() - 1, X[:, 1].max() + 1
    xx, yy = np.meshgrid(np.arange(x_min, x_max, h),
                         np.arange(y_min, y_max, h))
    grid = np.c_[xx.ravel(), yy.ravel()]
    Z = nn.predict(grid).reshape(xx.shape)
    cmap_bg = mcolors.LinearSegmentedColormap.from_list(
        "bg", ["#FADBD8", "#D6EAF8"], N=2)
    ax.contourf(xx, yy, Z, alpha=0.4, cmap=cmap_bg, levels=1)
    ax.contour(xx, yy, Z, colors='gray', linewidths=0.5, levels=1)
    plot_dataset(X, y, title=title, ax=ax)
    return ax

# ──────────────────────────────────────────────────────────────
# SIDEBAR β€” HYPER-PARAMETERS
# ──────────────────────────────────────────────────────────────

with st.sidebar:
    st.markdown("## βš™οΈ Hyper-parameters")
    st.markdown("---")

    n_points = st.slider("Points per spiral", 50, 500, 200, 50)
    noise = st.slider("Noise Οƒ", 0.1, 1.5, 0.4, 0.1)
    n_turns = st.slider("Spiral turns", 1, 4, 2, 1)
    seed = st.number_input("Random seed", value=42, step=1)

    st.markdown("---")
    hidden_size = st.slider("Hidden-layer neurons", 8, 256, 64, 8)
    activation = st.selectbox("Activation", ["tanh", "relu", "sigmoid"])
    learning_rate = st.select_slider("Learning rate",
        options=[0.001, 0.005, 0.01, 0.05, 0.1, 0.5], value=0.01)
    epochs = st.slider("Epochs", 500, 10000, 3000, 500)

    st.markdown("---")
    run_btn = st.button("πŸš€ Train network", use_container_width=True)

# ──────────────────────────────────────────────────────────────
# MAIN AREA
# ──────────────────────────────────────────────────────────────

st.markdown("# πŸŒ€ Two-Spiral Neural Network Classifier")
st.markdown("""
> **Explore** how a *shallow neural network* learns highly non-linear decision
> boundaries on the classic **Two-Spiral Problem** introduced by
> Lang & Witbrock (1988).  Adjust hyper-parameters in the sidebar and click
> **Train network** to watch the model learn.
""")

# Generate data
X, y = generate_two_spirals(n_points, noise, n_turns, int(seed))

# Normalise
X_mean = X.mean(axis=0)
X_std = X.std(axis=0)
X_norm = (X - X_mean) / X_std

tab_data, tab_train, tab_analysis = st.tabs(
    ["πŸ“Š Dataset", "πŸ‹οΈ Training", "πŸ”¬ Activation Analysis"])

# ── TAB 1 β€” Dataset ───────────────────────────────────────────
with tab_data:
    col1, col2 = st.columns(2)
    with col1:
        fig1, ax1 = plt.subplots(figsize=(6, 6), facecolor='#1a1a2e')
        ax1.set_facecolor('#1a1a2e')
        ax1.tick_params(colors='white'); ax1.xaxis.label.set_color('white')
        ax1.yaxis.label.set_color('white'); ax1.title.set_color('white')
        for spine in ax1.spines.values(): spine.set_color('#444')
        plot_dataset(X, y, "Two-Spiral Dataset", ax=ax1)
        ax1.legend(facecolor='#2a2a4e', edgecolor='#444', labelcolor='white')
        st.pyplot(fig1)

    with col2:
        st.markdown("### πŸ“Œ Dataset statistics")
        st.metric("Total samples", f"{len(y)}")
        st.metric("Class 0", f"{int((y==0).sum())}")
        st.metric("Class 1", f"{int((y==1).sum())}")
        st.metric("Feature range (x₁)",
                  f"[{X[:,0].min():.2f}, {X[:,0].max():.2f}]")
        st.metric("Feature range (xβ‚‚)",
                  f"[{X[:,1].min():.2f}, {X[:,1].max():.2f}]")
        st.info("The two spirals are **completely interleaved** β€” "
                "no linear boundary can separate them.")

# ── TAB 2 β€” Training ──────────────────────────────────────────
with tab_train:
    if run_btn:
        np.random.seed(int(seed))
        nn = ShallowNN(2, hidden_size, activation=activation,
                       learning_rate=learning_rate)

        log_every = max(1, epochs // 50)
        progress_bar = st.progress(0, text="Training …")
        metric_col1, metric_col2 = st.columns(2)
        loss_placeholder = metric_col1.empty()
        acc_placeholder = metric_col2.empty()

        losses, accs = [], []
        for ep in range(1, epochs + 1):
            y_pred = nn.forward(X_norm)
            loss = nn._loss(y, y_pred)
            nn.backward(X_norm, y, y_pred)
            if ep % log_every == 0 or ep == 1:
                acc = nn.accuracy(X_norm, y)
                losses.append(loss)
                accs.append(acc)
                progress_bar.progress(ep / epochs,
                    text=f"Epoch {ep}/{epochs} β€” Loss {loss:.4f} β€” Acc {acc:.1f}%")
                loss_placeholder.metric("Loss", f"{loss:.4f}")
                acc_placeholder.metric("Accuracy", f"{acc:.1f}%")

        progress_bar.empty()

        st.success(f"βœ… Training finished β€” **Final accuracy: {accs[-1]:.1f}%**")

        # Charts
        col_loss, col_acc, col_boundary = st.columns(3)
        with col_loss:
            fig_l, ax_l = plt.subplots(figsize=(5, 4), facecolor='#1a1a2e')
            ax_l.set_facecolor('#1a1a2e')
            ax_l.plot(losses, color='#E74C3C', linewidth=1.5)
            ax_l.set_title("Loss", color='white', fontweight='bold')
            ax_l.set_xlabel("log step", color='white')
            ax_l.tick_params(colors='white')
            for sp in ax_l.spines.values(): sp.set_color('#444')
            st.pyplot(fig_l)
        with col_acc:
            fig_a, ax_a = plt.subplots(figsize=(5, 4), facecolor='#1a1a2e')
            ax_a.set_facecolor('#1a1a2e')
            ax_a.plot(accs, color='#2ECC71', linewidth=1.5)
            ax_a.set_title("Accuracy (%)", color='white', fontweight='bold')
            ax_a.set_xlabel("log step", color='white')
            ax_a.tick_params(colors='white')
            for sp in ax_a.spines.values(): sp.set_color('#444')
            st.pyplot(fig_a)
        with col_boundary:
            fig_b, ax_b = plt.subplots(figsize=(5, 4), facecolor='#1a1a2e')
            ax_b.set_facecolor('#1a1a2e')
            ax_b.tick_params(colors='white'); ax_b.xaxis.label.set_color('white')
            ax_b.yaxis.label.set_color('white'); ax_b.title.set_color('white')
            for sp in ax_b.spines.values(): sp.set_color('#444')
            plot_decision_boundary(nn, X_norm, y, "Decision Boundary", ax=ax_b)
            ax_b.legend(facecolor='#2a2a4e', edgecolor='#444', labelcolor='white')
            st.pyplot(fig_b)
    else:
        st.info("πŸ‘ˆ Click **Train network** in the sidebar to start.")

# ── TAB 3 β€” Activation analysis ───────────────────────────────
with tab_analysis:
    st.markdown("### πŸ”¬ Comparing activation functions")
    st.markdown("Train the same architecture with **tanh**, **relu**, and "
                "**sigmoid** to see which one separates the spirals best.")
    if st.button("▢️ Run comparison", use_container_width=True):
        acts = ["tanh", "relu", "sigmoid"]
        results = {}
        for act in acts:
            np.random.seed(int(seed))
            _nn = ShallowNN(2, hidden_size, activation=act,
                            learning_rate=learning_rate)
            _losses, _accs = _nn.train(X_norm, y, epochs=epochs,
                                        log_every=max(1, epochs // 50))
            results[act] = {"nn": _nn, "losses": _losses, "accs": _accs}

        cols = st.columns(3)
        for idx, act in enumerate(acts):
            with cols[idx]:
                fig_c, ax_c = plt.subplots(figsize=(5, 5), facecolor='#1a1a2e')
                ax_c.set_facecolor('#1a1a2e')
                ax_c.tick_params(colors='white')
                ax_c.xaxis.label.set_color('white')
                ax_c.yaxis.label.set_color('white')
                ax_c.title.set_color('white')
                for sp in ax_c.spines.values(): sp.set_color('#444')
                plot_decision_boundary(results[act]["nn"], X_norm, y,
                    f"{act} β€” {results[act]['accs'][-1]:.1f}%", ax=ax_c)
                ax_c.legend(facecolor='#2a2a4e', edgecolor='#444',
                            labelcolor='white')
                st.pyplot(fig_c)
    else:
        st.info("Click **Run comparison** to start the analysis.")

# ──────────────────────────────────────────────────────────────
st.markdown("---")
st.caption("Built with ❀️ using Streamlit · Two-Spiral classification experiment")