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Cross-Validation Visualizer
============================
Visualize time-series cross-validation strategies (expanding window and
rolling/sliding window) with animated fold progression and per-fold
accuracy metrics using a naive forecast.
Part of ISA 444: Business Forecasting β Spring 2026, Miami University.
Deployed to HuggingFace Spaces as fmegahed/cv-visualizer.
"""
import io
import time
import threading
import gradio as gr
import numpy as np
import pandas as pd
import matplotlib
matplotlib.use("Agg")
import matplotlib.pyplot as plt
import matplotlib.patches as mpatches
from matplotlib.lines import Line2D
# ---------------------------------------------------------------------------
# Color palette
# ---------------------------------------------------------------------------
TEAL = "#84d6d3"
RED = "#C3142D"
GRAY = "#CCCCCC"
DARK_GRAY = "#888888"
WHITE = "#FFFFFF"
# ---------------------------------------------------------------------------
# Dataset generators
# ---------------------------------------------------------------------------
def _airline_passengers() -> pd.DataFrame:
"""Classic Box-Jenkins airline passengers (1949-1960, 144 obs)."""
# Reproduce the well-known series with a multiplicative seasonal pattern.
np.random.seed(42)
n = 144
t = np.arange(n)
trend = 132 + 2.4 * t
seasonal_period = 12
seasonal = 40 * np.sin(2 * np.pi * t / seasonal_period)
# Multiplicative-style growth in amplitude
amplitude_growth = 1 + 0.006 * t
y = trend * amplitude_growth + seasonal * amplitude_growth
# Add a touch of noise
y += np.random.normal(0, 5, n)
dates = pd.date_range("1949-01-01", periods=n, freq="MS")
return pd.DataFrame({"ds": dates, "y": np.round(y, 1)})
def _ohio_employment() -> pd.DataFrame:
"""Synthetic Ohio monthly employment (2010-2024, 180 obs)."""
np.random.seed(123)
n = 180
t = np.arange(n)
trend = 5200 + 3.5 * t
seasonal = 120 * np.sin(2 * np.pi * t / 12) + 60 * np.cos(2 * np.pi * t / 6)
# Covid dip around index 120-130 (~ early 2020)
dip = np.zeros(n)
dip[120:132] = -np.array([200, 800, 1100, 900, 600, 400, 300, 200, 150, 100, 60, 30])
noise = np.random.normal(0, 40, n)
y = trend + seasonal + dip + noise
dates = pd.date_range("2010-01-01", periods=n, freq="MS")
return pd.DataFrame({"ds": dates, "y": np.round(y, 1)})
def _simple_trend() -> pd.DataFrame:
"""Simple linear trend + noise (120 obs) for pedagogical clarity."""
np.random.seed(7)
n = 120
t = np.arange(n)
y = 0.5 * t + np.random.normal(0, 2, n)
dates = pd.date_range("2015-01-01", periods=n, freq="MS")
return pd.DataFrame({"ds": dates, "y": np.round(y, 2)})
DATASETS = {
"Airline Passengers": _airline_passengers,
"Ohio Employment": _ohio_employment,
"Simple Trend + Noise": _simple_trend,
}
# ---------------------------------------------------------------------------
# Fold computation
# ---------------------------------------------------------------------------
def compute_folds(n, initial, horizon, step, strategy, window_size=None):
"""Return a list of fold dicts with train/test index ranges."""
folds = []
max_possible = n # safety upper bound
if strategy == "Expanding Window":
start = 0
for k in range(max_possible):
train_end = initial + k * step
test_start = train_end
test_end = test_start + horizon
if test_end > n:
break
folds.append({
"fold": k + 1,
"train_start": start,
"train_end": train_end,
"test_start": test_start,
"test_end": test_end,
})
else: # Rolling / Sliding Window
ws = window_size if window_size is not None else initial
for k in range(max_possible):
train_start = k * step
train_end = train_start + ws
test_start = train_end
test_end = test_start + horizon
if test_end > n:
break
folds.append({
"fold": k + 1,
"train_start": train_start,
"train_end": train_end,
"test_start": test_start,
"test_end": test_end,
})
return folds
# ---------------------------------------------------------------------------
# Naive forecast & metrics
# ---------------------------------------------------------------------------
def naive_metrics(y_series, folds):
"""Compute MAE, RMSE, MAPE per fold using a naive (last-value) forecast."""
records = []
y = y_series.values if hasattr(y_series, "values") else np.array(y_series)
for f in folds:
train_vals = y[f["train_start"]:f["train_end"]]
test_vals = y[f["test_start"]:f["test_end"]]
forecast = np.full_like(test_vals, train_vals[-1], dtype=float)
errors = test_vals - forecast
abs_errors = np.abs(errors)
mae = np.mean(abs_errors)
rmse = np.sqrt(np.mean(errors ** 2))
# MAPE β guard against zeros
nonzero = np.abs(test_vals) > 1e-8
if nonzero.any():
mape = np.mean(np.abs(errors[nonzero] / test_vals[nonzero])) * 100
else:
mape = np.nan
records.append({
"Fold": f["fold"],
"Train Start": f["train_start"],
"Train End": f["train_end"] - 1,
"Test Start": f["test_start"],
"Test End": f["test_end"] - 1,
"Train Size": f["train_end"] - f["train_start"],
"MAE": round(mae, 2),
"RMSE": round(rmse, 2),
"MAPE (%)": round(mape, 2) if not np.isnan(mape) else "N/A",
})
return pd.DataFrame(records)
# ---------------------------------------------------------------------------
# Plotting
# ---------------------------------------------------------------------------
def _make_figure(df, folds, current_fold, show_all, strategy_label):
"""Build the matplotlib figure with either one or two panels."""
y = df["y"].values
n = len(y)
x = np.arange(n)
if show_all:
fig, ax_gantt = plt.subplots(figsize=(12, 5), facecolor=WHITE)
_draw_gantt(ax_gantt, folds, current_fold=None, n=n, highlight=False)
ax_gantt.set_title(
f"All {len(folds)} Folds β {strategy_label}",
fontsize=14, fontweight="bold", pad=10,
)
fig.tight_layout(pad=2.0)
return fig
# Two-panel layout
fig, (ax_ts, ax_gantt) = plt.subplots(
2, 1, figsize=(12, 7.5),
gridspec_kw={"height_ratios": [2, 1.2]},
facecolor=WHITE,
)
fold_idx = max(0, min(current_fold - 1, len(folds) - 1))
f = folds[fold_idx]
K = len(folds)
# --- Top panel: time series with CV split ---
ax_ts.plot(x, y, color=GRAY, linewidth=1.2, zorder=1, label="Full series")
# Training segment
train_x = x[f["train_start"]:f["train_end"]]
train_y = y[f["train_start"]:f["train_end"]]
ax_ts.plot(train_x, train_y, color=TEAL, linewidth=2.4, zorder=3, label="Training")
# Test segment
test_x = x[f["test_start"]:f["test_end"]]
test_y = y[f["test_start"]:f["test_end"]]
ax_ts.plot(test_x, test_y, color=RED, linewidth=2.4, zorder=3, label="Test / Validation")
# Vertical boundary lines
ax_ts.axvline(f["train_end"] - 0.5, color=DARK_GRAY, linestyle="--", linewidth=1, zorder=2, alpha=0.7)
if f["train_start"] > 0:
ax_ts.axvline(f["train_start"] - 0.5, color=DARK_GRAY, linestyle=":", linewidth=1, zorder=2, alpha=0.5)
ax_ts.set_title(
f"Fold {f['fold']} of {K} β {strategy_label}",
fontsize=14, fontweight="bold", pad=10,
)
ax_ts.set_xlabel("Time Index", fontsize=11)
ax_ts.set_ylabel("y", fontsize=11)
ax_ts.legend(loc="upper left", fontsize=9, framealpha=0.9)
ax_ts.set_xlim(-1, n + 1)
# --- Bottom panel: Gantt-style fold map ---
_draw_gantt(ax_gantt, folds, current_fold=f["fold"], n=n, highlight=True)
fig.tight_layout(pad=2.0)
return fig
def _draw_gantt(ax, folds, current_fold, n, highlight):
"""Draw the Gantt-style fold map on the given axes."""
K = len(folds)
bar_height = 0.6
highlight_height = 0.85
for f in folds:
k = f["fold"]
is_current = highlight and (k == current_fold)
h = highlight_height if is_current else bar_height
lw = 1.8 if is_current else 0.5
edge = "black" if is_current else "#666666"
# Training bar
ax.barh(
k, f["train_end"] - f["train_start"], left=f["train_start"],
height=h, color=TEAL, edgecolor=edge, linewidth=lw, zorder=3 if is_current else 2,
)
# Test bar
ax.barh(
k, f["test_end"] - f["test_start"], left=f["test_start"],
height=h, color=RED, edgecolor=edge, linewidth=lw, zorder=3 if is_current else 2,
)
ax.set_xlabel("Time Index", fontsize=11)
ax.set_ylabel("Fold", fontsize=11)
ax.set_xlim(-1, n + 1)
ax.set_ylim(0.2, K + 0.8)
ax.set_yticks(range(1, K + 1))
ax.invert_yaxis()
# Legend
handles = [
mpatches.Patch(facecolor=TEAL, edgecolor="#333", label="Training"),
mpatches.Patch(facecolor=RED, edgecolor="#333", label="Test"),
]
ax.legend(handles=handles, loc="upper right", fontsize=9, framealpha=0.9)
# ---------------------------------------------------------------------------
# Summary text
# ---------------------------------------------------------------------------
def build_summary(folds, strategy, initial, step, metrics_df):
K = len(folds)
if K == 0:
return "**No valid folds.** Adjust the parameters so that at least one fold fits within the data."
# Average metrics
numeric_cols = ["MAE", "RMSE"]
avgs = {c: metrics_df[c].mean() for c in numeric_cols}
mape_vals = pd.to_numeric(metrics_df["MAPE (%)"], errors="coerce")
avg_mape = mape_vals.mean()
lines = [
f"### Summary",
f"- **Total folds:** {K}",
f"- **Average MAE:** {avgs['MAE']:.2f}",
f"- **Average RMSE:** {avgs['RMSE']:.2f}",
f"- **Average MAPE:** {avg_mape:.2f}%" if not np.isnan(avg_mape) else "- **Average MAPE:** N/A",
"",
]
if strategy == "Expanding Window":
last_train = initial + (K - 1) * step
lines.append(
f"*Expanding window*: training set grows from **{initial}** to "
f"**{last_train}** observations across {K} folds."
)
else:
ws = folds[0]["train_end"] - folds[0]["train_start"]
lines.append(
f"*Rolling / sliding window*: fixed training size of **{ws}** "
f"observations slides forward across {K} folds."
)
lines.append("")
lines.append(
"Forecasts use a **naive model** (last training value repeated over "
"the horizon) to keep focus on the CV visualization concept."
)
return "\n".join(lines)
# ---------------------------------------------------------------------------
# Main update callback
# ---------------------------------------------------------------------------
def load_dataset(name, file_obj):
"""Return a DataFrame given the selector value and optional upload."""
if name == "Upload CSV" and file_obj is not None:
raw = pd.read_csv(file_obj.name if hasattr(file_obj, "name") else file_obj)
if "ds" not in raw.columns or "y" not in raw.columns:
raise gr.Error("Uploaded CSV must contain columns named 'ds' and 'y'.")
return raw[["ds", "y"]].copy()
if name in DATASETS:
return DATASETS[name]()
# Fallback
return DATASETS["Simple Trend + Noise"]()
def update_total_folds(dataset_name, file_obj, strategy, initial, horizon, step_size, window_size):
"""Return the max number of folds so we can update the fold slider range."""
try:
df = load_dataset(dataset_name, file_obj)
except Exception:
return gr.update(maximum=1, value=1)
n = len(df)
folds = compute_folds(n, initial, horizon, step_size, strategy, window_size)
K = max(len(folds), 1)
return gr.update(maximum=K, value=min(1, K))
def run_visualizer(dataset_name, file_obj, strategy, initial, horizon, step_size, window_size, current_fold, show_all):
"""Core callback β returns (figure, metrics_df, summary_md)."""
try:
df = load_dataset(dataset_name, file_obj)
except gr.Error:
raise
except Exception as exc:
raise gr.Error(f"Could not load data: {exc}")
n = len(df)
folds = compute_folds(n, initial, horizon, step_size, strategy, window_size)
K = len(folds)
if K == 0:
fig, ax = plt.subplots(figsize=(12, 4), facecolor=WHITE)
ax.text(0.5, 0.5, "No valid folds β adjust parameters.",
ha="center", va="center", fontsize=14, transform=ax.transAxes)
ax.axis("off")
empty_df = pd.DataFrame(columns=[
"Fold", "Train Start", "Train End", "Test Start", "Test End",
"Train Size", "MAE", "RMSE", "MAPE (%)"
])
summary = "**No valid folds.** Reduce `initial` + `horizon` or increase data length."
return fig, empty_df, summary
strategy_label = strategy
fig = _make_figure(df, folds, current_fold, show_all, strategy_label)
metrics_df = naive_metrics(df["y"], folds)
# Append average row
avg_row = {
"Fold": "Avg",
"Train Start": "",
"Train End": "",
"Test Start": "",
"Test End": "",
"Train Size": "",
"MAE": round(metrics_df["MAE"].mean(), 2),
"RMSE": round(metrics_df["RMSE"].mean(), 2),
}
mape_vals = pd.to_numeric(metrics_df["MAPE (%)"], errors="coerce")
avg_row["MAPE (%)"] = round(mape_vals.mean(), 2) if not mape_vals.isna().all() else "N/A"
avg_df = pd.concat([metrics_df, pd.DataFrame([avg_row])], ignore_index=True)
summary = build_summary(folds, strategy, initial, step_size, metrics_df)
plt.close("all")
return fig, avg_df, summary
# ---------------------------------------------------------------------------
# Gradio UI
# ---------------------------------------------------------------------------
def build_app():
theme = gr.themes.Soft(
primary_hue=gr.themes.Color(
c50="#eafaf9", c100="#d4f5f3", c200="#aaecea",
c300="#84d6d3", c400="#5ec4c0", c500="#3eaea9",
c600="#2e938e", c700="#237873", c800="#1a5d59",
c900="#12423f", c950="#0a2725",
),
secondary_hue=gr.themes.Color(
c50="#fef2f3", c100="#fde6e8", c200="#fbd0d5",
c300="#f7a4ae", c400="#f17182", c500="#C3142D",
c600="#b01228", c700="#8B0E1E", c800="#6e0b18",
c900="#5c0d17", c950="#33040a",
),
font=[gr.themes.GoogleFont("Inter"), "ui-sans-serif", "system-ui", "sans-serif"],
)
with gr.Blocks(
title="Cross-Validation Visualizer v1.0",
theme=theme,
css="""
.gradio-container { max-width: 1280px !important; margin: auto; }
footer { display: none !important; }
.gr-button-primary { background: #C3142D !important; border: none !important; }
.gr-button-primary:hover { background: #8B0E1E !important; }
.gr-button-secondary { border-color: #84d6d3 !important; color: #84d6d3 !important; }
.gr-button-secondary:hover { background: #84d6d3 !important; color: white !important; }
.gr-input:focus { border-color: #84d6d3 !important; box-shadow: 0 0 0 2px rgba(132,214,211,0.2) !important; }
""",
) as demo:
gr.HTML("""
<div style="display: flex; align-items: center; gap: 16px; padding: 16px 24px;
background: linear-gradient(135deg, #C3142D 0%, #8B0E1E 100%);
border-radius: 12px; margin-bottom: 16px; box-shadow: 0 4px 12px rgba(0,0,0,0.15);">
<img src="https://miamioh.edu/miami-brand/_files/images/system/logo-usage/minimum-size/beveled-m-min-size.png"
alt="Miami University" style="height: 56px;">
<div>
<h1 style="margin: 0; color: white; font-size: 24px; font-weight: 700; letter-spacing: -0.5px;">
Cross-Validation Visualizer v1.0
</h1>
<p style="margin: 4px 0 0; color: rgba(255,255,255,0.85); font-size: 14px;">
ISA 444: Business Forecasting · Farmer School of Business · Miami University
</p>
</div>
</div>
""")
gr.HTML("""
<div style="background: #f8f9fa; border-left: 4px solid #84d6d3; padding: 12px 16px;
border-radius: 0 8px 8px 0; margin-bottom: 16px; font-size: 14px; color: #585E60;">
Visualize time-series cross-validation strategies (expanding window and rolling/sliding window)
with animated fold progression and per-fold accuracy metrics using a naive forecast.
Understand how forecast accuracy is evaluated across folds.
</div>
""")
with gr.Row():
# ---- Left column: controls ----
with gr.Column(scale=1, min_width=300):
gr.Markdown("### Data")
dataset_dd = gr.Dropdown(
choices=["Airline Passengers", "Ohio Employment",
"Simple Trend + Noise", "Upload CSV"],
value="Simple Trend + Noise",
label="Dataset",
)
csv_upload = gr.File(
label="Upload CSV (columns: ds, y)",
file_types=[".csv"],
visible=False,
)
gr.Markdown("### CV Strategy")
strategy_radio = gr.Radio(
choices=["Expanding Window", "Rolling/Sliding Window"],
value="Expanding Window",
label="Strategy",
)
gr.Markdown("### Parameters")
initial_slider = gr.Slider(
minimum=12, maximum=120, value=60, step=1,
label="initial (initial training size)",
)
horizon_slider = gr.Slider(
minimum=1, maximum=24, value=12, step=1,
label="horizon (forecast horizon)",
)
step_slider = gr.Slider(
minimum=1, maximum=12, value=3, step=1,
label="step (step size between folds)",
)
window_slider = gr.Slider(
minimum=12, maximum=120, value=60, step=1,
label="window_size (rolling window only)",
visible=False,
)
gr.Markdown("### Animation Controls")
fold_slider = gr.Slider(
minimum=1, maximum=1, value=1, step=1,
label="Current Fold",
)
with gr.Row():
play_btn = gr.Button("Play Animation", variant="primary")
stop_btn = gr.Button("Stop", variant="stop")
show_all_cb = gr.Checkbox(label="Show All Folds", value=False)
# ---- Right column: outputs ----
with gr.Column(scale=2, min_width=500):
plot_output = gr.Plot(label="Visualization")
metrics_output = gr.Dataframe(
label="Per-Fold Metrics (Naive Forecast)",
interactive=False,
wrap=True,
)
summary_output = gr.Markdown(label="Summary")
# ---- Visibility toggles ----
def toggle_csv_upload(name):
return gr.update(visible=(name == "Upload CSV"))
dataset_dd.change(toggle_csv_upload, inputs=[dataset_dd], outputs=[csv_upload])
def toggle_window_slider(strategy):
return gr.update(visible=(strategy == "Rolling/Sliding Window"))
strategy_radio.change(toggle_window_slider, inputs=[strategy_radio], outputs=[window_slider])
# ---- Gather all control inputs ----
all_inputs = [
dataset_dd, csv_upload, strategy_radio,
initial_slider, horizon_slider, step_slider,
window_slider, fold_slider, show_all_cb,
]
all_outputs = [plot_output, metrics_output, summary_output]
# Helper to also refresh the fold slider range
fold_range_inputs = [
dataset_dd, csv_upload, strategy_radio,
initial_slider, horizon_slider, step_slider, window_slider,
]
def refresh_and_run(dataset_name, file_obj, strategy, initial, horizon,
step_size, window_size, current_fold, show_all):
"""Update fold slider range, clamp current_fold, then run."""
try:
df = load_dataset(dataset_name, file_obj)
except Exception:
df = DATASETS["Simple Trend + Noise"]()
n = len(df)
folds = compute_folds(n, initial, horizon, step_size, strategy, window_size)
K = max(len(folds), 1)
current_fold = max(1, min(current_fold, K))
fig, metrics, summary = run_visualizer(
dataset_name, file_obj, strategy, initial, horizon,
step_size, window_size, current_fold, show_all,
)
return gr.update(maximum=K, value=current_fold), fig, metrics, summary
combined_outputs = [fold_slider] + all_outputs
# Trigger on any parameter change
for ctrl in [dataset_dd, csv_upload, strategy_radio, initial_slider,
horizon_slider, step_slider, window_slider, show_all_cb]:
ctrl.change(
refresh_and_run,
inputs=all_inputs,
outputs=combined_outputs,
)
# Fold slider change (just re-render, no range update needed)
fold_slider.release(
run_visualizer,
inputs=all_inputs,
outputs=all_outputs,
)
# ---- Animation via a background thread ----
# We use a gr.State to hold the "playing" flag
animation_state = gr.State({"playing": False})
def start_animation(state, dataset_name, file_obj, strategy, initial,
horizon, step_size, window_size, current_fold, show_all):
state["playing"] = True
try:
df = load_dataset(dataset_name, file_obj)
except Exception:
df = DATASETS["Simple Trend + Noise"]()
n = len(df)
folds = compute_folds(n, initial, horizon, step_size, strategy, window_size)
K = max(len(folds), 1)
for k in range(1, K + 1):
if not state.get("playing", False):
break
fig, metrics, summary = run_visualizer(
dataset_name, file_obj, strategy, initial, horizon,
step_size, window_size, k, False,
)
yield state, gr.update(maximum=K, value=k), fig, metrics, summary
time.sleep(1.0)
state["playing"] = False
yield state, gr.update(), fig, metrics, summary
def stop_animation(state):
state["playing"] = False
return state
play_btn.click(
start_animation,
inputs=[animation_state] + all_inputs,
outputs=[animation_state, fold_slider] + all_outputs,
)
stop_btn.click(stop_animation, inputs=[animation_state], outputs=[animation_state])
# ---- Initial render on load ----
demo.load(
refresh_and_run,
inputs=all_inputs,
outputs=combined_outputs,
)
gr.HTML("""
<div style="margin-top: 24px; padding: 16px; background: #f8f9fa; border-radius: 8px;
text-align: center; font-size: 13px; color: #585E60; border-top: 2px solid #84d6d3;">
<div style="margin-bottom: 4px;">
<strong style="color: #C3142D;">Developed by</strong>
<a href="https://miamioh.edu/fsb/directory/?up=/directory/megahefm"
style="color: #84d6d3; text-decoration: none; font-weight: 600;">
Fadel M. Megahed
</a>
· Glos Professor in Business · Miami University
</div>
<div style="font-size: 12px; color: #888;">
Version 1.0.0 · Spring 2026 ·
<a href="https://github.com/fmegahed" style="color: #84d6d3; text-decoration: none;">GitHub</a> ·
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</div>
</div>
""")
return demo
if __name__ == "__main__":
app = build_app()
app.launch(share=False)
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