app.py

import gradio as gr
import numpy as np
import seaborn as sns
import matplotlib.pyplot as plt
import pandas as pd

from ppi.distributions import BinaryYFDistribution
from ppi.compute_curve import compute_curve


def convert_y_params_to_f_params(p_y, p_f_given_y1, p_f_given_y0):
    """Convert Y-based parameters to F-based parameters using Bayes' theorem"""
    # P(F = 1) = P(F = 1 | Y = 1) * P(Y = 1) + P(F = 1 | Y = 0) * P(Y = 0)
    p_f = p_f_given_y1 * p_y + p_f_given_y0 * (1 - p_y)

    # P(Y = 1 | F = 1) = P(F = 1 | Y = 1) * P(Y = 1) / P(F = 1)
    p_y_given_f1 = (p_f_given_y1 * p_y) / p_f if p_f > 0 else 0

    # P(Y = 1 | F = 0) = P(F = 0 | Y = 1) * P(Y = 1) / P(F = 0)
    p_y_given_f0 = ((1 - p_f_given_y1) * p_y) / (1 - p_f) if p_f < 1 else 0

    return p_f, p_y_given_f1, p_y_given_f0


def plot_custom_probabilities(p_f, p_y_given_f1, p_y_given_f0, show_ppi):
    plt.close()
    fig, ax = plt.subplots(1, 1, figsize=(8, 6))

    binary_dist = BinaryYFDistribution(
        p_f=p_f, p_y_given_f1=p_y_given_f1, p_y_given_f0=p_y_given_f0
    )
    n_range = np.arange(4, 200, 2)
    data = compute_curve(binary_dist, n_range)
    data = pd.DataFrame(data)
    corr = binary_dist.correlation()
    ax.set_ylim(0.5, 2)

    best_rel_perf = (
        binary_dist.variance_y()
        - binary_dist.covariance_f_y() ** 2 / binary_dist.variance_f()
    ) / binary_dist.variance_y()

    # Always show PPI++
    sns.lineplot(
        data,
        x="n",
        y="relative_var_cf",
        ax=ax,
        label="Relative Variance PPI++",
        linewidth=2,
    )

    # Conditionally show PPI
    if show_ppi:
        sns.lineplot(
            data,
            x="n",
            y="relative_var_ppi",
            ax=ax,
            label="Relative Variance PPI",
            linewidth=2,
            linestyle="dotted",
        )

    # Add horizontal line at y=1
    ax.axhline(
        y=1, color="k", linestyle="dotted", alpha=0.7, label="Baseline (Sample Mean)"
    )

    # Add horizontal line at y=1
    ax.axhline(
        y=best_rel_perf,
        color="b",
        linestyle="dotted",
        alpha=0.7,
        label="Asymptotic Performance",
    )

    # Find and mark crossing points
    cf_data = data["relative_var_cf"].values
    n_data = data["n"].values

    # Find where PPI++ crosses y=1
    cf_crossings = np.where(np.diff(np.sign(cf_data - 1)))[0]
    for crossing in cf_crossings:
        if crossing < len(n_data) - 1:
            ax.axvline(x=n_data[crossing], color="red", linestyle="--", alpha=0.7)
            ax.text(
                n_data[crossing],
                0.55,
                f"n={n_data[crossing]}",
                rotation=0,
                ha="center",
                va="bottom",
                color="red",
            )

    ax.set_xlabel("Sample Size (n)")
    ax.set_ylabel("Relative Variance")
    ax.set_title(
        f"Relative Variance Analysis (Correlation of Psuedo-Label: {corr:.2f})"
    )
    ax.legend()
    ax.grid(True, alpha=0.3)

    return fig


def plot_y_based_probabilities(p_y, p_f_given_y1, p_f_given_y0, show_ppi):
    """Plot using Y-based parameters by converting to F-based parameters"""
    # Convert Y-based parameters to F-based parameters
    p_f, p_y_given_f1, p_y_given_f0 = convert_y_params_to_f_params(
        p_y, p_f_given_y1, p_f_given_y0
    )

    # Use the existing plotting function with converted parameters
    return plot_custom_probabilities(p_f, p_y_given_f1, p_y_given_f0, show_ppi)


# Create interface for F-based parameters (original)
f_based_interface = gr.Interface(
    fn=plot_custom_probabilities,
    inputs=[
        gr.Slider(0.05, 0.95, value=0.50, step=0.05, label="P(F = 1)"),
        gr.Slider(0.05, 0.95, value=0.60, step=0.05, label="P(Y = 1 | F = 1)"),
        gr.Slider(0.05, 0.95, value=0.40, step=0.05, label="P(Y = 1 | F = 0)"),
        gr.Checkbox(value=True, label="Show PPI curve"),
    ],
    outputs=gr.Plot(label="PPI++ Analysis", format="png"),
    title="Example: Specify in terms of psuedo-label prevalence and Y | F distribution",
    description="""
    Analyze relative variance curves of PPI and PPI++ (with Cross-Fitting), as compared to using the empirical mean of Y.

    **Inputs:**
    - P(F = 1): Prior probability of the binary pseudo-label
    - P(Y = 1 | F = 1): Conditional probability of label given pseudo-label = 1
    - P(Y = 1 | F = 0): Conditional probability of label given pseudo-label = 0
    """,
    live=True,
    flagging_mode="never",
)

# Create interface for Y-based parameters
y_based_interface = gr.Interface(
    fn=plot_y_based_probabilities,
    inputs=[
        gr.Slider(0.05, 0.95, value=0.1, step=0.05, label="P(Y = 1)"),
        gr.Slider(0.05, 0.95, value=0.9, step=0.05, label="P(F = 1 | Y = 1)"),
        gr.Slider(0.05, 0.95, value=0.1, step=0.05, label="P(F = 1 | Y = 0)"),
        gr.Checkbox(value=True, label="Show PPI curve"),
    ],
    outputs=gr.Plot(label="PPI++ Analysis", format="png"),
    title="Example: Specify in terms of prevalance and F | Y distribution",
    description="""
    Analyze relative variance curves of PPI and PPI++ (with Cross-Fitting), as compared to using the empirical mean of Y.

    **Inputs:**
    - P(Y = 1): Prior probability of the binary label
    - P(F = 1 | Y = 1): Conditional probability of pseudo-label given label = 1
    - P(F = 1 | Y = 0): Conditional probability of pseudo-label given label = 0
    """,
    live=True,
    flagging_mode="never",
)

# Create tabbed interface
demo = gr.TabbedInterface(
    [f_based_interface, y_based_interface],
    ["F-based Parameters", "Y-based Parameters"],
    title="Sample Size Analysis (Binary Case)",
)


if __name__ == "__main__":
    demo.launch(share=True)