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Delete app.py

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  1. app.py +0 -135
app.py DELETED
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- import streamlit as st
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- import numpy as np
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- import plotly.graph_objs as go
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- import sympy as sp
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-
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- # Streamlit Page Configuration
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- st.set_page_config(page_title="Gradient Descent Visualizer", layout="wide")
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-
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- # Sidebar Inputs
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- st.sidebar.header("Gradient Descent Settings")
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- func_input = st.sidebar.text_input("Enter a function (use 'x'):", "x**2")
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- learning_rate = st.sidebar.number_input("Learning Rate", min_value=0.001, max_value=1.0, value=0.1, step=0.01)
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- initial_x = st.sidebar.number_input("Initial X", min_value=-10.0, max_value=10.0, value=5.0, step=0.1)
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-
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- # Reset Session State When Function Changes
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- if "previous_func" not in st.session_state or st.session_state.previous_func != func_input:
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- st.session_state.current_x = initial_x
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- st.session_state.iteration = 0
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- st.session_state.path = [(initial_x, 0)]
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- st.session_state.previous_func = func_input
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-
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- # Symbolic Computation
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- x = sp.symbols('x')
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- try:
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- func = sp.sympify(func_input)
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- derivative = sp.diff(func, x)
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- func_np = sp.lambdify(x, func, 'numpy')
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- derivative_np = sp.lambdify(x, derivative, 'numpy')
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- except Exception as e:
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- st.error(f"Invalid function: {e}")
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- st.stop()
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-
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- # Gradient Descent Step
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- def step_gradient_descent(current_x, lr):
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- grad = derivative_np(current_x)
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- next_x = current_x - lr * grad
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- return next_x, grad
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-
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- # Perform Next Iteration
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- if st.sidebar.button("Next Iteration"):
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- next_x, _ = step_gradient_descent(st.session_state.current_x, learning_rate)
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- st.session_state.path.append((st.session_state.current_x, func_np(st.session_state.current_x)))
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- st.session_state.current_x = next_x
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- st.session_state.iteration += 1
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-
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- # Calculate Actual Minima
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- critical_points = sp.solve(derivative, x)
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- actual_minima = [p.evalf() for p in critical_points if derivative_np(p) == 0 and sp.diff(derivative, x).evalf(subs={x: p}) > 0]
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-
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- # Generate Graph Data
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- x_vals = np.linspace(-15, 15, 1000)
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- y_vals = func_np(x_vals)
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-
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- # Plotly Visualization
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- fig = go.Figure()
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-
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- # Function Plot
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- fig.add_trace(go.Scatter(
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- x=x_vals, y=y_vals, mode='lines',
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- line=dict(color='blue', width=2),
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- hoverinfo='none'
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- ))
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-
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- # Gradient Descent Path
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- path = st.session_state.path
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- x_path, y_path = zip(*[(pt[0], func_np(pt[0])) for pt in path])
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- fig.add_trace(go.Scatter(
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- x=x_path, y=y_path, mode='markers+lines',
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- marker=dict(color='red', size=8),
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- line=dict(color='red', width=2),
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- hoverinfo='none'
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- ))
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-
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- # Highlight Current Point
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- fig.add_trace(go.Scatter(
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- x=[st.session_state.current_x], y=[func_np(st.session_state.current_x)],
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- mode='markers', marker=dict(color='orange', size=12),
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- name="Current Point", hoverinfo='none'
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- ))
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-
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- # Highlight Actual Minima
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- if actual_minima:
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- minima_x = [float(p) for p in actual_minima]
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- minima_y = [func_np(p) for p in minima_x]
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- fig.add_trace(go.Scatter(
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- x=minima_x, y=minima_y,
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- mode='markers', marker=dict(color='green', size=14, symbol='star'),
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- name="Actual Minima", hoverinfo='text',
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- text=[f"x = {x_val:.4f}, f(x) = {y_val:.4f}" for x_val, y_val in zip(minima_x, minima_y)]
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- ))
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-
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- # Add Cross-Axes (X and Y lines)
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- fig.add_trace(go.Scatter(
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- x=[-15, 15], y=[0, 0], mode='lines',
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- line=dict(color='black', width=1, dash='dash'),
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- hoverinfo='none'
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- ))
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- fig.add_trace(go.Scatter(
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- x=[0, 0], y=[-15, 15], mode='lines',
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- line=dict(color='black', width=1, dash='dash'),
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- hoverinfo='none'
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- ))
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-
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- # Layout Configuration
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- fig.update_layout(
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- title="Gradient Descent Visualization",
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- xaxis=dict(
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- title="X",
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- zeroline=True, zerolinewidth=1, zerolinecolor='black',
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- tickvals=np.arange(-15, 16, 5),
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- range=[-15, 15]
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- ),
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- yaxis=dict(
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- title="f(X)",
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- zeroline=True, zerolinewidth=1, zerolinecolor='black',
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- tickvals=np.arange(-15, 16, 5),
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- range=[-15, 15]
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- ),
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- showlegend=False,
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- hovermode="closest",
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- dragmode="pan", # Corrected line: removed extra space
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- autosize=True,
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- )
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-
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- # Fullscreen and Export Options
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- st.markdown("### Gradient Descent Visualization")
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- st.plotly_chart(fig, use_container_width=True)
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-
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- # Display Current Point
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- st.write(f"**Current Point (x):** {st.session_state.current_x:.4f}")
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-
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- # Display Iteration History below the graph
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- st.write("### Iteration History:")
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- for i, (x_val, _) in enumerate(st.session_state.path):
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- st.write(f"Iteration {i+1}: x = {x_val:.4f}")