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__author__ = 'Dmitry Ustalov' |
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__license__ = 'Apache 2.0' |
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import typing |
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import gradio as gr |
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import numpy as np |
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import numpy.typing as npt |
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import pandas as pd |
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import plotly.express as px |
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from plotly.graph_objects import Figure |
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def visualize(df_pairwise: pd.DataFrame) -> Figure: |
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fig = px.imshow(df_pairwise, color_continuous_scale='RdBu', text_auto='.2f') |
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fig.update_layout(xaxis_title='Loser', yaxis_title='Winner', xaxis_side='top') |
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fig.update_traces(hovertemplate='Winner: %{y}<br>Loser: %{x}<br>Fraction of Wins: %{z}<extra></extra>') |
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return fig |
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def aggregate(wins: npt.NDArray[np.int64], ties: npt.NDArray[np.int64], |
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seed: int = 0, tolerance: float = 10e-6, limit: int = 20) -> npt.NDArray[np.float64]: |
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assert wins.shape == ties.shape, 'wins and ties shapes are different' |
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rng = np.random.default_rng(seed) |
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pi, v = rng.random(wins.shape[0]), rng.random() |
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converged, iterations = False, 0 |
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while not converged: |
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iterations += 1 |
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v_numerator = np.sum( |
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ties * (pi[:, np.newaxis] + pi) / |
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(pi[:, np.newaxis] + pi + 2 * v * np.sqrt(pi[:, np.newaxis] * pi)) |
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) / 2 |
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v_denominator = np.sum( |
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wins * 2 * np.sqrt(pi[:, np.newaxis] * pi) / |
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(pi[:, np.newaxis] + pi + 2 * v * np.sqrt(pi[:, np.newaxis] * pi)) |
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) |
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v = v_numerator / v_denominator |
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v = np.nan_to_num(v, copy=False, nan=tolerance) |
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pi_old = pi.copy() |
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pi_numerator = np.sum( |
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(wins + ties / 2) * (pi + v * np.sqrt(pi[:, np.newaxis] * pi)) / |
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(pi[:, np.newaxis] + pi + 2 + v * np.sqrt(pi[:, np.newaxis] * pi)), |
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axis=1 |
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) |
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pi_denominator = np.sum( |
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(wins + ties / 2) * (1 + v * np.sqrt(pi[:, np.newaxis] * pi)) / |
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(pi[:, np.newaxis] + pi + 2 + v * np.sqrt(pi[:, np.newaxis] * pi)), |
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axis=0 |
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) |
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pi = pi_numerator / pi_denominator |
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pi = np.nan_to_num(pi, copy=False, nan=tolerance) |
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converged = np.allclose(pi / (pi + 1), pi_old / (pi_old + 1), |
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rtol=tolerance, atol=tolerance) or (iterations >= limit) |
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return pi |
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def handler(file: typing.IO[bytes], seed: int) -> typing.Tuple[pd.DataFrame, Figure]: |
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if file is None: |
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raise gr.Error('File must be uploaded') |
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try: |
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df = pd.read_csv(file.name, dtype=str) |
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except ValueError as e: |
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raise gr.Error(f'Parsing error: {e}') |
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if not pd.Series(['left', 'right', 'winner']).isin(df.columns).all(): |
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raise gr.Error('Columns must exist: left, right, winner') |
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if not df['winner'].isin(pd.Series(['left', 'right', 'tie'])).all(): |
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raise gr.Error('Allowed winner values: left, right, tie') |
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df = df[['left', 'right', 'winner']] |
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df.dropna(axis='rows', inplace=True) |
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index = pd.Index(np.unique(df[['left', 'right']].values), name='item') |
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df_wins = pd.pivot_table(df[df['winner'].isin(['left', 'right'])], |
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index='left', columns='right', values='winner', |
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aggfunc='count', fill_value=0) |
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df_wins = df_wins.reindex(labels=index, columns=index, fill_value=0, copy=False) |
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df_ties = pd.pivot_table(df[df['winner'] == 'tie'], |
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index='left', columns='right', values='winner', aggfunc='count', |
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fill_value=0) |
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df_ties = df_ties.reindex(labels=index, columns=index, fill_value=0, copy=False) |
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wins = df_wins.to_numpy(dtype=np.int64) |
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ties = df_ties.to_numpy(dtype=np.int64) |
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ties += ties.T |
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scores = aggregate(wins, ties, seed=seed) |
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df_result = pd.DataFrame(data={'score': scores}, index=index) |
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df_result['rank'] = df_result['score'].rank(na_option='bottom', ascending=False).astype(int) |
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df_result.fillna(np.NINF, inplace=True) |
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df_result.sort_values(by=['rank', 'score'], ascending=[True, False], inplace=True) |
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df_result.reset_index(inplace=True) |
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df_pairwise = pd.DataFrame(data=scores[:, np.newaxis] / (scores + scores[:, np.newaxis]), |
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index=index, columns=index) |
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df_pairwise = df_pairwise.reindex(labels=df_result['item'], columns=df_result['item'], copy=False) |
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fig = visualize(df_pairwise) |
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return df_result, fig |
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def main() -> None: |
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iface = gr.Interface( |
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fn=handler, |
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inputs=[ |
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gr.File( |
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value='example.csv', |
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file_types=['.tsv', '.csv'], |
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label='Comparisons' |
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), |
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gr.Number( |
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label='Seed', |
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precision=0 |
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) |
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], |
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outputs=[ |
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gr.Dataframe( |
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headers=['item', 'score', 'rank'], |
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label='Ranking' |
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), |
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gr.Plot( |
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label='Pairwise Chances of Winning the Comparison' |
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) |
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], |
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title='Pair2Rank: Turn Your Side-by-Side Comparisons into Ranking!', |
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description=''' |
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This easy-to-use tool transforms pairwise comparisons (aka side-by-side) to a meaningful ranking of items. |
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As an input, it expects a comma-separated (CSV) file with a header containing the following columns: |
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- `left`: the first compared item |
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- `right`: the second compared item |
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- `winner`: the label indicating the winning item |
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Possible values for `winner` are `left`, `right`, or `tie`. |
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The provided example might be a good starting point. |
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As the output, this tool provides a table with items, their estimated scores, and ranks. |
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''', |
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article=''' |
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This tool attempts to implement the tie-aware ranking aggregation algorithm as described in |
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[Efficient Computation of Rankings from Pairwise Comparisons](https://www.jmlr.org/papers/v24/22-1086.html). |
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''', |
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allow_flagging='never' |
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) |
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iface.launch() |
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if __name__ == '__main__': |
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main() |
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