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import numpy as np |
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from .utils import haversine |
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def mean_absolute_error_per_point(pred, true): |
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""" |
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Calculates the Mean Absolute Error Per Point (MAEPP) for a batch. |
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:param pred: Predicted time, shape (batch_size, traj_length) |
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:param true: Ground truth time, shape (batch_size, traj_length) |
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:return: Mean Absolute Error Per Point (MAEPP) for the batch. |
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""" |
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maepp = np.abs(pred - true).mean() |
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return maepp |
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def mean_absolute_error_per_sample(pred, true): |
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""" |
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Calculates the Mean Absolute Error Per Sample (MAEPS) for a batch. |
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:param pred: Predicted time, shape (batch_size, traj_length) |
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:param true: Ground truth time, shape (batch_size, traj_length) |
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:return: Mean Absolute Error Per Sample (MAEPS) for the batch. |
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""" |
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mae_per_sample = np.abs(pred - true).mean(axis=1) |
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maeps = mae_per_sample.mean() |
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return maeps |
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def mean_trajectory_deviation(pred, true): |
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""" |
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Calculates the Mean Trajectory Deviation (MTD) for a batch. |
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:param pred: Predicted trajectories, shape (batch_size, 2, traj_length) or (batch_size, traj_length, 2/3) |
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:param true: Ground truth trajectories, shape (batch_size, 2, traj_length) or (batch_size, traj_length, 2/3) |
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:return: Mean Trajectory Deviation (MTD) for the batch. |
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""" |
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batch_size, traj_length, _ = pred.shape |
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deviations = [] |
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for i in range(batch_size): |
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pred_lat, pred_lon = pred[i, :, 1], pred[i, :, 2] |
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true_lat, true_lon = true[i, :, 1], true[i, :, 2] |
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deviation = np.array([haversine(pred_lat[j], pred_lon[j], true_lat[j], true_lon[j]) for j in range(traj_length)]) |
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deviations.append(np.mean(deviation)) |
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mtd = np.mean(deviations) |
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return mtd |
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def mean_point_to_point_error(pred, true): |
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""" |
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Calculates the Mean Point-to-Point Error (MPPE) for a batch. |
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:param pred: Predicted trajectories, shape (batch_size, traj_length, 2) or (batch_size, traj_length, 3) |
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:param true: Ground truth trajectories, shape (batch_size, traj_length, 2) or (batch_size, traj_length, 3) |
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:return: Mean Point-to-Point Error (MPPE) for the batch. |
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""" |
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batch_size, traj_length, _ = pred.shape |
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total_error = 0 |
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for i in range(batch_size): |
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for j in range(traj_length): |
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pred_lat, pred_lon = pred[i, j, 1], pred[i, j, 2] |
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true_lat, true_lon = true[i, j, 1], true[i, j, 2] |
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point_error = haversine(pred_lat, pred_lon, true_lat, true_lon) |
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total_error += point_error |
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mppe = total_error / (batch_size * traj_length) |
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return mppe |
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def trajectory_coverage(pred, true, thresholds): |
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""" |
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Calculates Trajectory Coverage (TC) for each sample at multiple thresholds. |
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:param pred: Predicted trajectories, shape (batch_size, 2, traj_length) or (batch_size, traj_length, 2/3) |
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:param true: Ground truth trajectories, shape (batch_size, 2, traj_length) or (batch_size, traj_length, 2/3) |
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:param thresholds: List of deviation thresholds. |
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:return: A dictionary of trajectory coverage for each sample at various thresholds, |
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and the average trajectory coverage (APTC). |
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""" |
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batch_size, traj_length, _ = pred.shape |
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tc_dict = {f'TC@{threshold}': [] for threshold in thresholds} |
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for i in range(batch_size): |
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pred_lat, pred_lon = pred[i, :, 1], pred[i, :, 2] |
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true_lat, true_lon = true[i, :, 1], true[i, :, 2] |
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deviations = np.array([haversine(pred_lat[j], pred_lon[j], true_lat[j], true_lon[j]) for j in range(traj_length)]) |
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for threshold in thresholds: |
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tc = (deviations <= threshold).mean() |
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tc_dict[f'TC@{threshold}'].append(tc) |
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aptc = {k: np.mean(v) for k, v in tc_dict.items()} |
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avg_aptc = np.mean(list(aptc.values())) |
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return aptc, avg_aptc |
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def max_trajectory_deviation(pred, true): |
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""" |
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Calculates the Maximum Trajectory Deviation (MaxTD) for each sample in a batch. |
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:param pred: Predicted trajectories, shape (batch_size, 2, traj_length) or (batch_size, traj_length, 2/3) |
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:param true: Ground truth trajectories, shape (batch_size, 2, traj_length) or (batch_size, traj_length, 2/3) |
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:return: Maximum Trajectory Deviation (MaxTD) for the batch. |
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""" |
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batch_size, traj_length, _ = pred.shape |
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max_deviations = [] |
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for i in range(batch_size): |
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pred_lat, pred_lon = pred[i, :, 1], pred[i, :, 2] |
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true_lat, true_lon = true[i, :, 1], true[i, :, 2] |
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deviation = np.array([haversine(pred_lat[j], pred_lon[j], true_lat[j], true_lon[j]) for j in range(traj_length)]) |
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max_deviations.append(np.max(deviation)) |
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max_td = np.max(max_deviations) |
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return max_td |